Answer: At [tex]t=\dfrac{3}{8}[/tex], the pebble hit the top of the boulder.
Step-by-step explanation:
Since we have given that
Distance at which Selena is standing on a rock cliff = 52 feet
Height of boulder above a rock cliff = 12 foot
So, the given quadratic equation would be
[tex]p(t)=-16t^2+12t+52[/tex]
First we derivative it w.r.t t,
[tex]p'(t)=-32t+12[/tex]
Now, we will find the critical value,
[tex]-32t+12=0\\\\-32t=-12\\\\t=\dfrac{12}{32}=\dfrac{6}{16}=\dfrac{3}{8}[/tex]
Now, we will check whether it is maximum or not.
[tex]p''(t)=-32<0[/tex]
So, we get that it is maximum.
Hence, at [tex]t=\dfrac{3}{8}[/tex], the pebble hit the top of the boulder.
Answer:
The answer is t=3/8
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Answer:
last Monday is 27
Step-by-step explanation:
perfect square: 4, 9 , 16
2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.
last Monday is 27
Sun Mon Tue Wen Thu Fri Sat
9 10 11
12 13 14 15 16 17 18
.........................................................
26 27
To find the date of the last Monday of the month, calculate the number of days between the second Thursday and the last Monday by considering the number of weeks in the month.
Explanation:To find the date of the last Monday of the month, we need to determine the number of days between the second Thursday and the last Monday.
Let's assume that the second Thursday is on the 9th of the month.
Since there are 7 days in a week, the last Monday will be 9 + (7 * (number of weeks in the month) - 1).
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WILL GIVE BRAINLYLIST !!!!! IF UNDER 5 MINSSSS HELPThe cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?
The first quadrant of a coordinate grid is drawn. The title is Cake Stand. The horizontal axis label is Number of Cupcakes, and the scale is from 0 to 8 in increments of 1. The vertical axis label is Cost in dollars, and the scale is from 0 to 32 in increments of 4. Points are plotted at the ordered pairs 1,8 and 2,12 and 3,16.
The first quadrant of a coordinate grid is drawn. The title is Cake Stand. The horizontal axis label is Number of Cupcakes, and the scale is from 0 to 8 in increments of 1. The vertical axis label is Cost in dollars, and the scale is from 0 to 32 in increments of 4. Points are plotted at the ordered pairs 1,2 and 2,4 and 3,6.
The first quadrant of a coordinate grid is drawn. The title is Cake Stand. The horizontal axis label is Number of Cupcakes, and the scale is from 0 to 8 in increments of 1. The vertical axis label is Cost in dollars, and the scale is from 0 to 32 in increments of 4. Points are plotted at the ordered pairs 1,4 and 2,4 and 3,4.
The first quadrant of a coordinate grid is drawn. The title is Cake Stand. The horizontal axis label is Number of Cupcakes, and the scale is from 0 to 8 in increments of 1. The vertical axis label is Cost in dollars, and the scale is from 0 to 32 in increments of 4. Points are plotted at the ordered pairs 1,4 and 2,8 and 3,12.
Answer:
I have to say the first one sorry responded late
GIVE BRAINIEST:
plz give me brainliest i almost got caught in class WHILE HELPING!!!
Answer:
i think its the first one
Step-by-step explanation:
$23,803 is invested, part at 8% and the rest at 5%. If the interest earned from the amount invested at 8% exceeds the interest earned from the amount invested at 5% by $357.89, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:
The amount invested at 8% is $11,908 and the amount invested at 5% is $11,895
Step-by-step explanation:
Let
x ----> the amount invested at 8%
(23,803-x) ----> the amount invested at 5%
Remember that
[tex]8\%=8\100=0.08[/tex]
[tex]5\%=5\100=0.05[/tex]
we know that
The interest earned from the amount invested at 8% is equal to the interest earned from the amount invested at 5% plus $357.89
so
The linear equation that represent this situation is
[tex]0.08x=0.05(23,803-x)+357.89[/tex]
solve for x
Apply distributive property right side
[tex]0.08x=1,190.15-0.05x+357.89[/tex]
Group terms
[tex]0.08x+0.05x=1,190.15+357.89[/tex]
Combine like terns
[tex]0.13x=1,548.04[/tex]
[tex]x=\$11,908[/tex]
[tex]\$23,803-x=\$23,803-\$11,908=\$11,895[/tex]
therefore
The amount invested at 8% is $11,908 and the amount invested at 5% is $11,895
The difference between two numbers is 2 and their product is 120.
What are the numbers?
Answer:
x=12,y=10
Step-by-step explanation:
let two nos are x and y
so x-y=2.............(1)
xy=120................(2)
(x+y)^2=(x-y)^2+4xy
(x+y)^2=2^2+4(120)
(x+y)^2=4+480=484
x+y=[tex]\sqrt{484}[/tex]
x+y=22.................(3)
adding (1) and (3),
x+y=22
x-y=2
2x=24
x=12,y=10 answer
Answer:
yo m om s u c k c o c k
Step-by-step explanation:
4 glue sticks cost $7.76. Which equation would help determine the cost of 13 glue sticks?
Answer:($7.76/4)x 13
Step-by-step explanation: There is no way to start from the price of 4 glue sticks. So, you have to find the unit rate. The unit rate is the cost of 1 of the items. For example, if 8 apples was $5.65, you have to find out what 1 apple cost so you can buy as many apples you want, not just 8. After finding the unit rate, multiply the unit rate by 13. Back to the apple example, if I did not want 8 apples but 15, and I want to know what the price is before I go up to the counter to buy it, I would multiply the unit rate by how much I want.
Also, the answer to ($7.76/4)x 13 is $25.22. The unit rate was $1.94.
8(2x- 6)= 96 solve for x
Answer:
x=9
Step-by-step explanation:
To solve, simplify the equation them isolate x.
8(2x- 6) = 96 Distribute over brackets by multiplying
16x - 48 = 96 Add 48 to both sides
16x = 144 Divide both sides by 16
x = 9 Final answer
Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?
Answer ASAP
Answer:
4. vertical translation 4 units down
6. horizontal translation 2 units to the right
Step-by-step explanation:
Given [tex]f(x)=7^x[/tex] and [tex]g(x)=7^{x+2}-4[/tex]
1. Adding 2 to x means horizontal translation 2 units to the right.
2. Subtracting 4 from the function [tex]7^{x+2}[/tex] means vertical translation 4 units down.
So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.
Answer:the answers are “ horizontal translation 2 units left” and “ vertical translation 4 units down” :)
Step-by-step explanation:
A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar
How much oil should kin use?Complete the Table
Answer:
36 ounces
Step-by-step explanation:
The common relationship between 24 ounces and 8 ounces is that 8 times x= 24.
24 divided by 8 is 3. Applying this same technique, we can figure out that 12 times 3 is 36.
Answer: 36 oz of oil
Ratio of oil to vinegar: 3:1
Step-by-step Explanation:
1) The oil to vinegar ratio of the recipe is calculated my dividing the amount of oil (oz) by the amount of vinegar (oz)
24 ÷ 8 = 3
This 3 means you have 3 parts oil for every 1 part vinegar, ratio being: [tex]\frac{3}{1}[/tex]
2)
[tex]\frac{3}{1}[/tex] ⇒ [tex]\frac{?}{12}[/tex]
To get the denominator from 1 to 12 you must multiply by 12.
You must do the same to the numerator (top of fraction) meaning you mus multiply 3 (The ratio's nominator) by 12.
3 × 12 = 36
3)
The answer is 36 oz of oil
Answer Check:
To Check answer you can do 36 ÷ 12
And if it equals 3 than we know that the ounces of oil (36) over the ounces of vinegar (12) give us a ratio of 3:1 Which is the same ratio as used in the recipe. (24:8)
This is a simplified method of this problem.
Helpppppp guyssss pleaseeeeeee I’m losttt
Answer:
29
Step-by-step explanation:
Use definition of conditional probability:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)},[/tex]
where
A = the student is a freshman,
B = the student is a male
From the table,
[tex]P(B)=\dfrac{4+6+2+2}{4+6+2+2+3+4+6+3}=\dfrac{14}{30}=\dfrac{7}{15}\\ \\P(A\cap B)=\dfrac{4}{4+6+2+2+3+4+6+3}=\dfrac{4}{30}=\dfrac{2}{15}[/tex]
So,
[tex]P(A|B)=\dfrac{\frac{2}{15}}{\frac{7}{15}}=\dfrac{2}{7}\approx 0.29=29\%[/tex]
solve 4x + 18=24 what is x equal to
Answer:
x=3/2
Step-by-step explanation:
4x+18=24
4x=24-18
4x=6
x=6/4
simplify
x=3/2
Answer: 4x+18=24
First move 18 to other side (24-18), left with 4x=6
Divide both sides by 4 to be left with x=6/4 & reduce that fraction down to 3/2
Step-by-step explanation:
100 POINTS!!!!
Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto Instagram. She currently has 100 Instagram followers. If the number of followers grows at a rate of 1% every 12 hours. The following function represents this situation.
f(x) = f(1. + r)^t where f is the number of initial followers and r is the grown rate and t is time.
2) Alexis hopes to eventually have 1,000,000 followers, how long will it take her to reach this level of followers.
#Days since upload 0 10 20 50 100 300 500
Number of Instagram followers
There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers
Answer:
[tex]t= 462.82\ days[/tex]
Step-by-step explanation:
Exponential Growth
When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is
[tex]\displaystyle f(x) = f_o(1 + r)^t[/tex]
Where [tex]f_o[/tex] is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)
The initial value is 100 Instant followers, thus:
[tex]\displaystyle f(x) = 100(1.01)^t[/tex]
We need to know when the number of followers will reach 1,000,000. Setting up the equation
[tex]\displaystyle 100(1.01)^t=1,000,000[/tex]
Simplifying by 100
[tex]\displaystyle (1.01)^t=10,000[/tex]
Taking logarithms
[tex]\displaystyle t\ log(1.01)=log\ 10,000[/tex]
[tex]\displaystyle t\ log(1.01)=4[/tex]
Solving for t
[tex]\displaystyle t=\frac{4}{log(1.01)}=925.63[/tex] periods of 12 hrs
[tex]t= 462.82\ days[/tex]
Alexis will reach 1,000,000 followers in approximately 462.82 days.
To calculate how long it will take Alexis to reach 1,000,000 followers, we can use the following equation:
f(t) = f(1+r)^t
We know that Alexis currently has 100 followers (f=100), and she wants to reach 1,000,000 followers (f=1,000,000). We also know that her follower growth rate is 1% every 12 hours (r=0.01).
To solve for the time (t) it will take Alexis to reach 1,000,000 followers, we can use the following steps:
Divide both sides of the equation by f(1+r):
f(t)/f(1+r) = (1+r)^t
Take the natural logarithm of both sides of the equation:
ln(f(t)/f(1+r)) = t * ln(1+r)
Divide both sides of the equation by ln(1+r):
t = ln(f(t)/f(1+r)) / ln(1+r)
Substitute the known values into the equation:
t = ln(1,000,000/100) / ln(1+0.01)
Solve for t:
t = 462.82 days
Therefore, it will take Alexis approximately 462.82 days to reach 1,000,000 followers.
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The cost of two pounds of cherries is $8.58 what is the unit rate that describes the cost per pound of cherries
P.S. I need help ASAP if you answer you will be crowned brainlest answer
The cost of two pounds of cherries is $8.58. So, the unit rate that describes the cost per pound of cherries is $4.29 and this can be determined by using the unitary method.
Given :
The cost of two pounds of cherries is $8.58.
The unitary method can be used to determine the unit rate that describes the cost per pound of cherries. In the unitary method, there are two values that have to be found that is a single unit and a necessary unit.
Given that the cost of two pounds of cherries is $8.58 then the cost of unit rate is:
[tex]=\dfrac{8.58}{2}\times 1[/tex]
Multiply 8.58 by 1 in the above expression.
[tex]=\dfrac{8.58}{2}[/tex]
Divide 8.58 by 2 in the above expression.
= $4.29
The cost of two pounds of cherries is $8.58. So, the unit rate that describes the cost per pound of cherries is $4.29.
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Lines and are parallel. The slope of line is 1/3. What is the slope of line ?
Answer:
1/3
Step-by-step explanation:
Because parallel lines have the same slopes.
A home has an original value of $249,000.each year,the value of the home decreases by 7.1 what equation models the solution after t years?
Answer:
The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex]
Step-by-step explanation:
Given as :
The original value of home = p = $249,000
The value of home depreciate every year at rate = r = 7.1%
Let The value of home after t years = A
Now, According to question
The value of home after t years = original value of home × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, A = p × [tex](1-\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](1-\dfrac{\textrm 7.1}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](0.929)^{\textrm t}[/tex]
So,The value of home after t years = A = $249,000 [tex](0.929)^{\textrm t}[/tex]
Hence,The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex] . Answer
Emily Runs 10 ft./s Jake runs 334 feet and 26 seconds Katie runs 1 mile in 596 seconds and Stephanie runs 580 feet in one minute who runs the fastest
Jake runs fastest
Step-by-step explanation:
The given is:
Emily Runs 10 ft./sJake runs 334 feet in 26 secondsKatie runs 1 mile in 596 secondsStephanie runs 580 feet in one minuteWe need to find who runs fastest
To solve the problem we must to find the unit rate of each one in feet per second
∵ Jake runs 334 feet and 26 seconds
- To find the unite rate divide 334 feet by 26 seconds
∴ Jake's rate = 334 ÷ 26 = 12.85 ft./s
∵ Katie runs 1 mile in 596 seconds
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ Katie runs 5280 feet in 596 seconds
- To find the unite rate divide 5280 feet by 596 seconds
∴ Katie's rate = 5280 ÷ 596 = 8.86 ft./s
∵ Stephanie runs 580 feet in one minute
- Change the minute to seconds
∵ 1 minute = 60 second
∴ Stephanie runs 580 feet in 60 seconds
- To find the unite rate divide 580 feet by 60 seconds
∴ Stephanie's rate = 580 ÷ 60 = 9.67 ft./s
∵ Emily's rate is 10 ft./s
∵ Jake's rate is 12.85 ft./s
∵ Katie's rate is 8.86 ft./s
∵ Stephanie's rate is 9.67 ft./s
- The fastest one who has the greatest rate
∵ Jake's rate is the greatest
∴ Jake runs the fastest
Jake runs fastest
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One number is 10 times as large as another and their difference is 81. Find the numbers.
Answer:
one number is 90 and the other one 9
Step-by-step explanation:
Let's refer to the larger number as "x", and the smaller as "y", so we can create equations with those unknowns and solve them algebraically.
Now let's write the first phrase we are given in mathematical form:
"One number is 10 times as large as another one"
Remember that our larger number is "x", so the first equation out of this phrase is:
x = 10 * y
Now for the second phrase:
"Their difference is 81"
Here we need to make the difference setting the larger number first (x), minus the smaller number (y), so as to get a positive difference of 81 units:
x - y =81
now we solve this system by substituting "x" in the second equation with "10 * y" according to what our first equation states:
10 y - y = 81
9 y = 81
y = 81/9
y = 9
and therefore now that we know the value of number y (9) we can go back to the first equation to find what number "x" is:
x = 10 * (9)
x = 90
Finally: x = 90, and y = 9
On a scale drawing, a helicopter is 2.3 feet long. The scale on the drawing shows a ratio of 1 foot to 10 feet. What is the actual length of the helicopter, in feet?
PLEASE HELPP !!!!!!!
Answer:
The actual length of the helicopter is 23 feet.
Step-by-step explanation:
Given:
On a scale drawing, a helicopter is 2.3 feet long.
The scale on the drawing shows a ratio of 1 foot to 10 feet.
Now, to find the actual length of the helicopter.
Let the actual length of helicopter be [tex]x[/tex].
On scale drawing length of helicopter = 2.3 feet.
The scale on the drawing shows a ratio = 1:10.
Now, as ratios are given so by setting proportion we solve it:
[tex]\frac{2.3}{x} =\frac{1}{10}[/tex]
By cross multiplying we get:
⇒ [tex]2.3\times 10=x[/tex]
⇒ [tex]23=x[/tex]
⇒ [tex]x=23\ feet.[/tex]
Therefore, the actual length of the helicopter is 23 feet.
Which of the following will help you reach long term goals?
A.Breaking big goals into smaller ones
B.Writing down your goals
C.Taking care of your physical and mental health
D.All of the above
Answer:
D
Step-by-step explanation:
If you Break the bigger ones into smaller ones they will seem more attainable. Writing down your goals will help you remember. Taking care of resell will help you attain your goals faster and easier
Simplify x0y-3/x2y-1
Answer:
For x: We subtract the exponents,
this way. 0 - 2 = -2
For y: We subtract the exponents,
this way. -3 - -1 = -2
x -² y -²
whar is 10.034 rounded to the nearest tenth
Answer: 10.0
Step-by-step explanation: In this problem, we are asked to round 10.034 to the nearest tenth. It's important to understand that the tenths place is 1 place to the right of the decimal point. So the digit in the rounding place is 0.
Next, look at the digit to the right of the rounding place which in this case is 3. Since the digit to the right of the rounding place, 3, is less than 5, we round down.
This means that the digit in the rounding place, 0, stays the same and we change all digits to the right of the rounding place to 0.
So 10.034 rounded to the nearest tenth is 10.000 or just 10.0 since we can drop zeroes at the end of a decimal.
The base of a triangle is shrinking at a rate of 1cm/min and the height if the triangle is increasing at a rate of 5cm/min. Find the rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm.
The rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm²/min.
Using the formula for a triangle's area, A = (1/2) × base × height, we can determine rate of the triangle's area changes.
We can describe the rate of change of the base as db/dt = -1 cm/min (negative because it is shrinking) given that the base is shrinking at a rate of 1 cm/min.
The height is increasing at a rate of 5 cm/min, so the rate of change of the height can be expressed as dh/dt = 5 cm/min.
We must determine dA/dt for h = 22 cm and b = 10 cm in order to determine the rate at which the triangle's area changes at these two points.
We can start by differentiating the area formula with respect to time (t):
dA/dt = (1/2) × (db/dt × h + b × dh/dt)
Substituting the given values:
dA/dt = (1/2) × (-1 cm/min × 22 cm + 10 cm × 5 cm/min)
Simplifying:
dA/dt = (1/2) × (-22 cm/min + 50 cm/min)
= (1/2) × 28 cm/min
= 14 cm/min
Therefore, the rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm/min.
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The rate at which the area of the triangle changes is 2 cm²/min. This is found by applying the chain rule of differentiation to the triangle area formula, substituting the given values and rates, and simplifying.
Explanation:The subject of this question is rate of change in context of the Triangle Area Formula: 1/2 * base * height. Given that the base is shrinking at a rate of 1cm per minute (1 cm/min) and the height is increasing at a rate of 5 cm/min, we can express this rate of change in the formula. A negative sign is used for the base because the base length is decreasing.
To find the rate of change in the area, use the chain rule of differentiation, leading to the formula (-1/2 * height * db/dt) + (1/2 * base * dh/dt). When the height is 22 cm and the base is 10 cm, substituting these values along with the rates at which the base and height are changing, the formula becomes (-1/2 * 22cm * 1 cm/min) + (1/2 * 10cm * 5 cm/min). Simplify to find that the area of the triangle is changing at 2 cm²/min.
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A restaurant bill is $59 and you pay $75. What percentage gratuity did you pay?
Answer:22%
Step-by-step explanation:
You paid approximately 27.12% gratuity on a $59 bill by leaving a $16 tip on a $75 payment.
To find out the percentage gratuity paid, you can first calculate the gratuity amount by subtracting the bill amount from the total paid:
Gratuity = Total paid - Bill amount
Gratuity = $75 - $59
Gratuity = $16
Now, to find the percentage gratuity, divide the gratuity amount by the bill amount and then multiply by 100:
Percentage Gratuity = (Gratuity / Bill amount) * 100
Percentage Gratuity = ($16 / $59) * 100
Percentage Gratuity ≈ 27.12%
So, you paid approximately a 27.12% gratuity.
If f(x) = x2 – 2 and g(x)=x-3, what is (fog)(x)?
So first we have to know what (fog)(x) means. Whenever we have the notation (fog)(x) or (gof)(x) or whatever variables (hof)(c) it means that we put the function closest to the x in the other function.
Basically for (fog)(x) this means put g(x) in f(x)
For (hof)(c) this means put f(c) in h(c)
For (gof)(x) this means put f(x) in g(x)
So now we can proceed with the problem.
f(x) = x^2 - 2 (I assume you wrote x squared) and g(x) = x - 3. Find (fog)(x)
So we are going to put g(x) in f(x). So wherever there is an x in f(x) we are gonna replace that with x -3:
f(g(x)) = (x-3)^2 - 2
If we want we can foil this out:
(x-3)(x-3) - 2
x^2 - 6x + 9 -2
or x^2 - 6x + 7
So: (fog)(x) = x^2 - 6x + 7
*If you meant 2x the process is the same but will give you a different answer*
There were 16 sandwiches on a tray for a lunch meeting. After the meeting, 3 were left. How many sandwiches were eaten?
Answer:
13
Step-by-step explanation:
16-3+= 13
Lettuce is packaged four bags to a box.if there are 3.5 boxes of lettuce in the cooler, how many bags of lettuce would there be
Answer:
14 bags
Step-by-step explanation:
multiply 4*3.5 to get 14
CAN ANYONE HELP PIZZ FAST
The figure/drawing isn't needed to answer this question.
The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.
Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).
Now let's check each answer choice and see which applies to these similar trapezoids:
Since point B corresponds with point X and the trapezoids are similar, they must be congruent angles. Thus, the first choice is correct.Point Y does not correspond with point A. Thus, it is possible the angles are not congruent. The second choice is incorrect.Point A corresponds with W and B corresponds with X. Thus, line segment AB will be similar to line segment WX. However, they are not equal. Thus, the third choice is incorrect.There's an equal sign in this choice, too, just like the last, and the two segments are corresponding line segments. Thus, the fourth choice is incorrect.This looks like the third choice, but with a similarity symbol instead of an equal sign. Now, the statement is true and the fifth choice is correct.This looks like the fourth choice but with a similarity instead of an equal sign. Now, the statement is true and the sixth choice is correct.Let me know if you need any clarifications, thanks!
Answer:
c kd kjdkwj
Step-by-step explanation:
jc kjkd ndjfhcajhd,cm sdnfj vkdshf vndc jdsfhbv
. A man gave an amount of money to his three sons yao, esi and ampa in the ratio of
their years. If yao is 15 years, esi is 10 years and ampa 5years. If esi had GHS100.00
i. Calculate the amount given to them
The amount given to them is GHS300.00
Step-by-step explanation:
A man gave an amount of money to his three sons Yao, Esi and Ampa in the ratio of their years
Yao is 15 yearsEsi is 10 yearsAmpa 5 yearsEsi had GHS100.00We need to find the amount given to them
Let us use the ratio method to solve the problem
∵ Yao is 15 years old
∵ Esi is 10 years old
∵ Ampa is 5 years old
∴ The ratio between them is
→ Yao : Esi : Ampa
→ 15 : 10 : 5
Simplify the terms of the ratio by divide each term by 5
∴ The ratio between their ages in the simplest form is
→ Yao : Esi : Ampa
→ 3 : 2 : 1
∵ Esi had GHS100.00
→ Yao : Esi : Ampa : Total
→ 3 : 2 : 1 : 6 ( 3 + 2 + 1 = 6)
→ : 100 : : x
Use the cross multiplication to find x
∵ 2(x) = 100(6)
∴ 2x = 600
- Divide both sides by 2
∴ x = 300
∵ x represents the total money given to them
∴ The amount given to them is GHS300.00
The amount given to them is GHS300.00
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Answer:
GHS300.00.,//.:.
15 years!%
10 years!)
5 years%
GHS100.00!))>))
......................................................
that is the answer i got but it could be wrong
:| :)
Help!!!!
CR #16 1. Roger is paid $50 to sell videos of a play to an audience after the play is
performed.
He also receives $2 for each video he sells. The function E(v)=50+2v
models the amount of money Roger earns by selling v videos. The play's audience
consists of 230 people and each audience member buys no more than 1 video.
What is the practical domain of the function? (1 Point) Show how you
determined/defined the practical domain. (Explain/show your process as if you were
teaching someone else how to do the work. (3 Points) What is the most that Roger
can earn? (1 Point)
Answer:
Practical Domain is the set of x values which are from zero to 230.
The maximum he can earn is $510.
Step-by-step explanation:
Domain is the set of x values. In this equation it is the number of videos sold that could be between zero and 230 ( considering the maximum number of people buying videos are 230).
It can be written as v lies between zero and 230 or in other words [0,230].
The maximum he can earn is
E(v)=50+2v
E(230)=50+2(230)
50+ 460= 510$
Please I need help on #3
Answer:
36 movies
Step-by-step explanation:
16/4=4 this shows that there are 4 4s in 16.
Because every 4 video games 9 movies are rented so 4*9=36 for the answer
A frequency table grades have five classes (A,B,C,D,F) with frequencies of 5,11,14,7, and 3 respectively. Using percentages, what are the relative frequencies of the five classes
The relative frequencies using percentages are as follows:
A => 12.5%
B => 27.5%
C => 35%
D => 17.5%
E => 7.5%
Step-by-step explanation:
To find the relative frequency, the specific frequency is divided by the total frequency. To find in the percentages, the division is multiplied by 100
So,
Total frequencies = 5+11+14+7+3 = 40
So,
[tex]Relative-frequency\ of\ A = \frac{5}{40} *100\\= 0.125*100\\=12.5\%\\Relative-frequency\ of\ B = \frac{11}{40} * 100\\= 0.275*100\\=27.5\%\\Relative-frequency\ of\ C = \frac{14}{40} * 100\\=0.35*100\\=35\%\\Relative-frequency\ of\ D = \frac{7}{40} * 100\\=0.175*100\\=17.5\%\\Relative-frequency\ of\ E= \frac{3}{40} * 100\\=0.075*100\\=7.5\%[/tex]
Hence,
The relative frequencies using percentages are as follows:
A => 12.5%
B => 27.5%
C => 35%
D => 17.5%
E => 7.5%
Keywords: Frequency, relative frequency
Learn more about frequency at:
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The relative frequencies of the five classes are 12.5%, 27.5%, 35%, 17.5%, 7.5%.
Given thatA frequency table grades have five classes (A, B, C, D, F) with frequencies of 5,11,14,7, and 3 respectively.
We have to determine
Using percentages, what are the relative frequencies of the five classes.
According to the questionThe relative frequency, the specific frequency is divided by the total frequency.
The sum of all the frequencies is called relative frequency.
= 5 + 11 +14 +7 +3 = 40
Then,
The relative frequency of the first class is,
[tex]= \dfrac{5}{40} \times 100\\ \\ = 0.125 \times 100\\ \\ =12. 5 \rm \ Percent[/tex]
The relative frequency of the second class is,
[tex]= \dfrac{11}{40} \times 100\\ \\ = 0.275 \times 100\\ \\ =27. 5 \rm \ Percent[/tex]
The relative frequency of the third class is,
[tex]= \dfrac{14}{40} \times 100\\ \\ = 0.35 \times 100\\ \\ =35 \rm \ Percent[/tex]
The relative frequency of the fourth class is,
[tex]= \dfrac{7}{40} \times 100\\ \\ = 0.175 \times 100\\ \\ =17. 5 \rm \ Percent[/tex]
The relative frequency of the fifth class is,
[tex]= \dfrac{3}{40} \times 100\\ \\ = 0.075 \times 100\\ \\ =7. 5 \rm \ Percent[/tex]
Hence, the relative frequencies of the five classes are 12.5%, 27.5%, 35%, 17.5%, 7.5%.
To know more about Relative Frequency click the link given below.
https://brainly.com/question/8316148