Answer:
5.5 h
Step-by-step explanation:
There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).
t = k/n Divide both sides by n
t/n = k
If we have two different numbers of workers, then
t₁/n₁ = t₂/n₂ Multiply each side by n₂
t₂ = t₁ × n₁/n₂
t₂ = 22 × 1/4
t₂ = 5.5 h
Please help with a, b, c
Answer:
a. p(n) is a function of n
b. p(2)=12.50
c. {0, 1, 2, 3, 4}
Step-by-step explanation:
A function is a rule or equation the p(n) depends on the variable n. We write it as p(n) is a function of n. It can also be written in symbols using p(input)=output for (input,output). We write p(2)=12.50. Lastly, every function has a domain which consists of input values or n values used. Here it is 0, 1, 2, 3, 4.
please help me in solving this
Answer:
a = 8, b= - 48, c = - 16
Step-by-step explanation:
multiply through by 8x² to eliminate fractions
[tex]x^{5}[/tex] - 16 = 48x² - 8x³ ( subtract 48x² - 8x³ from both sides )
[tex]x^{5}[/tex] + 8x³ - 48x² - 16 = 0
compare the coefficients of like terms to
[tex]x^{5}[/tex] + ax³ + bx² + c = 0
⇒ a = 8, b = - 48, c = - 16
I need help with this question! Quickly please!
Answer:
The answer is C. ASA
Step-by-step explanation:
The SAS doesn't work here, and there are not two angles right next to each other to use.
Answer: D) not possible
SAS won't work because the angles marked are not between the side lengths with the tickmarks
AAS won't work because we only have one pair of angles, not two. ASA is a similar story.
So that leaves "not possible" as the only answer. We simply don't have enough info. The triangles could be congruent, or they may not be. We simply don't know.
The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50. Write and solve an equation to find out how many miles the trip is from the airport to the airport to the school center.
Please answer quickly, will be giving out brainliest!
Answer:
13 miles
Step-by-step explanation:
The fare for the Uber
Cost= 5+ .5 m
where m is the number of miles
We spent 11.50
11.50 = 5 + .5 m
Subtract 5 from each side
11.5 -5 = 5+.5m -5
6.50 = .5 m
Divide by .5 on each side
6.5/.5 = .5m/.5
13 = m
We went 13 miles
What is the midpoint between z1 = -8 + 3i and z2 = 4 + 7i?
Answer:
Therefore, Mid point : -2+5i.
Step-by-step explanation:
Given : Z1 = -8 + 3i and Z2 = 4 + 7i.
To find : What is the midpoint.
Solution : We have given Z1 = -8 + 3i and Z2 = 4 + 7i.
Mid point : [tex]\frac{z_{1}+z_{2}}{2}[/tex].
On plugging the values.
Mid point : [tex]\frac{-8+3i + 4 +7i}{2}[/tex].
Combine like terms.
Mid point : [tex]\frac{-8+4+3i +7i}{2}[/tex].
Mid point : [tex]\frac{-4+10i}{2}[/tex].
Mid point : -2+5i.
Therefore, Mid point : -2+5i.
a machine that originally cost 15 600 has a value of 7500 at the end of 3 years the same machine has a value of 2800 at the end of 8 years
A) FIND the average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years
B) find the average tare of change in value of the machine between the end of 3 years and the end of 8 years
C) interpret the sing of your answers
A) The rate for the first 3 years :
15,600 - 7500 = 8100
8100/3 years = 2,700 per year depreciation.
B) The rate between 3 and 8 years:
7500 - 2800 = 4700
4700 / 5 year = 940 per year depreciation.
C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.
Answer:
A) Given,
The value of the machine when purchased = 15,600
And, the value of the machine after 3 years = 7,500
So, average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years
[tex]=\frac{\text{the value after 3 years-the value when it purchased}}{3-0}[/tex]
[tex]=\frac{7500-15600}{3}[/tex]
[tex]=\frac{-8100}{3}[/tex]
= - 2,700
B) The value of car after 8 years = 2,800,
So, the average rate of change in the value of car between the end of 3 years and 8 years
[tex]=\frac{\text{the value after 8 years-the value after 3 years}}{8-3}[/tex]
[tex]=\frac{2800-7500}{5}[/tex]
[tex]=\frac{-4700}{5}[/tex]
=- 940
C) The negative sign shows the value of car is decreasing.
80% of the marbles in a bag are red. There are 32 red marbles in the bag. What is the total number of marbles in the bag?
Answer: there are 40 marbles in the bag.
At present a man is 5 times as old as his son, in 13 years time he will be three times as old as his son. Find the man's present age?
Answer:
65
Step-by-step explanation:
let the son's age be x then the man's age is 5x
In 13 years
son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son
5x + 13 = 3(x + 13)
5x + 13 = 3x + 39 ( subtract 3x from both sides )
2x + 13 = 39 ( subtract 13 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 ← son's present age
5x = 5 × 13 = 65 ← man's present age
Answer:
The man's present age is 65.
Step-by-step explanation:
Let x = the man's age and y = his son's age.
In 13 yr, their ages will be x + 13 and y + 13, respectively.
We have two conditions:
(1) x = 5y
(2) x + 13 = 3(y + 13) Remove parentheses
x + 13 = 3y + 39 Subtract 13 from each side
(3) x = 3y + 26 Substitute (1) into (3)
5y = 3y + 26 Subtract 2y from each side
2y = 26 Divide each side by 2
(4) y = 13 Substitute (4) into (1)
x = 5 × 13
x = 65
The man's present age is 65.
This is #5
Algebra-Find the value for x
I know it’s 11 but how do I get there.
Answer:
x = 11
Step-by-step explanation:
the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is
x + 5 = [tex]\frac{1}{2}[/tex](3x - 1)
multiply both sides by 2 to eliminate the fraction
2x + 10 = 3x - 1 ( subtract 3x from both sides )
- x + 10 = - 1 ( subtract 10 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
If one class has 17 boys and 18 girls. If the ratio is the same in all classes in a total of 140 students how many girls are in the class?
Answer:
72 girls
Step-by-step explanation:
If a class has 17 boys and 18 girls, the total number of students in the class is
17+ 18 = 35
the ratio of girls to students is 18/35
Using the same ratio of girls to students
18 x
----- = ----------
35 140
We can solve this using cross products
18*140 = 35x
2520=35x
Divide each side by 35
2520/35 = 35x/35
72 =x
There are 72 girls
Help please ?
What is the missing statement in the two column proof ?
You are correct. The answer is choice D
BD = BD by the reflexive property, which says that any segment is equal to itself
The hinge theorem says that the larger an angle is, the larger the opposite side will be. The converse goes in the opposite direction: if the side is larger, then the opposite angle is larger.
Rachel is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 5 sizes, 2 flavors, and 1 topping to choose from. How many different ice cream desserts could she order?
To calculate the different ice cream desserts Rachel can order, we use the formula for combinations without repetition. Given 5 sizes, 2 flavors, and 1 topping, the number of choices for each category: 5 sizes x 2 flavors x 1 topping = 10 different ice cream desserts Rachel could order.
Total ice cream desserts = (Number of sizes) × (Number of flavors) × (Number of toppings)
= 5 × 2 × 1
= 10
So, Rachel could order 10 different ice cream desserts by combining the choices for size, flavor, and topping.
If you want to place a 10 1/2 inch wide picture frame in the center of a 4ft wall, how much space will be on each side of the picture
Answer:
There will be 18 3/4 Inches on each side of the frame!
Hope this helped:)
Step-by-step explanation:
4*12=48
48-10.5=37.5
37.7/2=18.75
Answer:
There's 18.75 inches of space at each side of the picture.Step-by-step explanation:
We know that, the picture is 10.5 inches wide, and the wall is 4 feet wide.
First we have to transform feet to inches and subtract. So, we know that 1 feet is 12 inches, how much inches would be 4 feet?
[tex]4 \ ft\frac{12 \ in}{1 \ ft}=48 \ in[/tex]
So, the wall is 48 inches wide.
Now,
[tex](48 - 10.5)in=37.5in[/tex]
There's 37.5 inches of space. If the picture is in the middle, then each side would be have:
[tex]\frac{37.5}{2}=18.75 \ in[/tex]
Therefore, there's 18.75 inches of space at each side of the picture.
6.13 round each number to the place of the underlined digit. The underline number is 1
Answer:
6.1
Step-by-step explanation:
We are rounding the 1, so we look to the next digit. 3 < 5, so we can leave the 1 alone.
6.13 rounds to 6.1
Answer:
6.1
Step-by-step explanation:
The 3 is smaller than 5 so it doesn't round to 6.2
M is the midpoint of AB. AM = 9x-6, and BM = 6x+27 find x. find Am. Find BM.
Answer:
x=11
Step-by-step explanation:
M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x
9x-6=6x+27 (set equal to eachother)
9x=6x+33 (add 6)
3x=33 (subtract 6x)
x=11 (divide by 3)
Midpoint M of AB splits AB into two equal segments. By solving given equation, we find that x = 11, AM = 93 and BM = 93.
Explanation:The question pertains to the concept of midpoints in geometry. In this problem, we are given that M is the midpoint of AB. Since M is the midpoint, AM equals BM. So, we can set up the equation 9x - 6 = 6x + 27. Solving this equation we get x = 11. Substituting x = 11 into AM = 9x - 6, we get AM = 9(11) - 6 = 93. Similarly, substituting x = 11 into BM = 6x + 27, we get BM = 6(11) + 27 = 93. Therefore, both AM and BM equal 93.
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A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearance for $65 if the shoes originally cost $85 what was her total discount?
Answer:
Total discount = $39.50
or 46.47 %
Step-by-step explanation:
First we need to figure out what she will pay for the shoes. She is getting 30 percent off the 65 dollars.
Discount = price * percent off
= 65*.3
= 19.50
The cost of her shoes is the price minus the discount.
Cost = 65- 19.5
= 45.50
To find the total discount, take the original price and subtract the final cost.
Total discount = 85-45.50
= 39.50
To find the total percent discount, we use the formula
total percent discount = (original - final)/original * 100
= (85- 45.50)/85 * 100
= 39.5/85*100
= 46.47%
Which equation represents the line shown on the graph?
Answer:
y=2x
Step-by-step explanation:
The equation for slop-intercept form is y=mx+b where m is the slope and b is the y-intercept.
2 represents the rise/over since you rise 2 units (up) and run 1 unit (to the right). So the slope is 2/1 or just 2, and then you multiply it by x to get 2x.
The line starts at the origin (0,0), so the y-intercept would be 0. They didn't say y=2x+0 because the + 0 wouldn't change the line.
The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. To find the equation, you need to determine the slope and the y-intercept.
Explanation:The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept (the point where the line intersects the y-axis).
To find the equation of the line shown on the graph, you need to determine the slope and the y-intercept. You can do this by selecting any two points on the line and using their coordinates to calculate the slope, and then substituting one of the points into the equation to solve for the y-intercept.
Once you have the slope and y-intercept values, you can substitute them into the slope-intercept form to write the equation of the line.
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What is the equation of this line
A) y=-4x
B) y=4x
C) Y= 1/4x
D) y=-1/4x
Answer:
The answer would be D.
Step-by-step explanation:
You can use an online graphing calculator to see the lines for each equation.
Answer: D
Step-by-step explanation: The slope of a line is rise/run or change in y values/change in x values. We will use the two points (-4, 1) and (0,0) for this problem. 0-1/0-(-4) = -1/4
The cost of admission to the state fair changed from 8.50 last year to 10.00 this year.round to the nearest tenth show your work
A.what is the percent of change from last year to this year
B.is this a percent increase or decrease
C.if you have 25% off cpupon to ise on 10.00 ticket what is the cost
Answer:
A. What is the percent of change from last year to this year.
Answer: The percent of change from last year to this year is:
[tex]\frac{10.00 - 8.50}{8.50} \times 100[/tex]
[tex]\frac{1.50}{8.50} \times 100[/tex]
[tex]17.65 \%[/tex]
Therefore, the percent change from last year to this year is 17.65%
B. Is this a percent increase or decrease?
Answer: This is a percent increase.
C. If you have 25% off coupon to use on 10.00 ticket what is the cost?
Answer: The 25% of 10.00 is given below:
[tex]\frac{25}{100} \times 10.00[/tex]
[tex]0.25 \times 10.00[/tex]
[tex]2.5[/tex]
Therefore, the cost is:
[tex]10.00 -2.5 =7.5[/tex]
50 Points!!! Help ASAP!!! and will give Brainliest!!!!
<1 and <3 are _____ angles.
A. corresponding
B. vertical
C. supplementary
D. complementary
<1 and <4 are _____ angles.
A. corresponding
B. vertical
C. supplementary
D. adjacent
<1 and <5 are _____ angles.
A. vertical
B. alternate interior
C. corresponding
D. right
<1 and <8 are _____ angles.
A. alternate exterior
B. alternate interior
C. corresponding
D. right
Answer:
1 a. 2 d. 3 b. 4 c. that is your answer i believe
Step-by-step explanation:
Answer:
1 & 3 are supplementary angles
1 & 4 are vertical angles
1 and 5 are corresponding angles
1 and 8 are alternate exterior angles
Step-by-step explanation:
I'm a bit unsure about the first one, but I know the rest are correct :)
What is the circumference of a circle with a diameter of 20 inches
Answer:
62.8 in
Step-by-step explanation:
Circumfrence=pi x diameter
3.14 x 20=62.8
Final answer:
Given π as approximately 3.14159, the circumference is found to be about 62.8318 inches.
Explanation:
The question asks for the circumference of a circle with a diameter of 20 inches. To find the circumference (C), we use the formula C = πd, where π (Pi) is approximately 3.14159, and d is the diameter of the circle. Given the diameter (d) of 20 inches, the circumference is calculated as follows: C = 3.14159 × 20.
Substituting the values into the equation provides: C = 62.8318 inches. Hence, the circumference of the circle with a diameter of 20 inches is approximately 62.8318 inches.
so here's my problem from pearson realize lesson 4-8 grade 7 math book. can someone help me int this question
a) 0.92v or 23v/25 or 92%v
b)Oringaly, there was 100%. 8% was token away, so 100%-8%=92%
Julian’s brother is performing some calculations on his calculator. Julian sees that the result in the display is 4.13E7. How can this number be expressed in standard notation?
Answer:
4.13E7 means 4.13 times 10 to the 7th power which equals
4.13 x 10^7 OR
41,300,000
Step-by-step explanation:
Escape what is on sale for 60% off the regular $80 price what is the sales price
Answer:
$32 is the sales price.
Step-by-step explanation:
First, change the percentage to a decimal.
60% = 60/100 = 0.6
Next, multiply 0.6 with the regular price ($80)
80 x 0.6 = 48
$48 is the discount. Subtract from the original price
80 - 48 = 32
$32 is the sales price.
~
Answer:
$32
Step-by-step explanation:
The sales price = original price - original price * discount rate
Factor out the original price
sales price = original price (1 -discount rate)
We know the original price is 80
We know the discount rate is 60% = .6
Substitute these values in
sales price = 80 (1-.6)
sales price = 80 * .4
sales price = 32
A biased sample is one in which every member of the group has an equal chance of being chosen. True or false?
Answer:
false
Step-by-step explanation:
This statement is false, in a biased sample every member does not have an equal chance of getting selected.
What is a biased sample?If some individuals or groups from the population are not represented in the sample, the sample is biased.
Example of a biased sample:
The graph presented in the figure below, represents the drug usage by school students but this is a biased data because it does not include the students who have already passed out from the school or the students who were studying from home, as this data is not the complete data hence it is an example of a biased sample.
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A chemist needs a solution of tannic acid 70% pure. How much distilled water must he add to 5 gallons of acid which was 90% pure to obtain the 70% solution?
Answer: 1.4286 gallons
Step-by-step explanation: the equation would be:
0.9*5+0x=0.7(5+x)
then you can shorten it down to:
4.5=3.5+0.7x
subtract both sides by 3.5 and you end up with:
1=0.7x
divide both sides by 0.7 and you get 1.4286 gallons
The chemist needs to add approximately 1.43 gallons of distilled water to 5 gallons of acid to obtain a 70% pure tannic acid solution.
Here, we have,
To solve this problem, we can use a mixture equation that equates the amount of pure tannic acid in the initial solution to the amount of pure tannic acid in the final solution.
Let's denote the amount of distilled water to be added as "x" gallons.
The initial solution contains 5 gallons of acid at 90% purity. This means it contains 0.90 * 5 = 4.5 gallons of pure tannic acid.
When the distilled water is added, the total volume of the solution becomes 5 + x gallons.
The goal is to obtain a 70% pure solution, which means it should contain 0.70 * (5 + x) gallons of pure tannic acid.
According to the mixture equation, we can set up the following equation:
4.5 = 0.70 * (5 + x)
Now, let's solve for x:
4.5 = 0.70 * 5 + 0.70 * x
4.5 = 3.5 + 0.70x
0.70x = 4.5 - 3.5
0.70x = 1
x = 1 / 0.70
x ≈ 1.43
Therefore, the chemist needs to add approximately 1.43 gallons of distilled water to 5 gallons of acid to obtain a 70% pure tannic acid solution.
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John was traveling 1700 feet in 20 seconds. How fast was the car going in miles per hour
John was traveling at a speed of 57.91 miles per hour when he covered a distance of 1700 feet in 20 seconds.
Explanation:To calculate the speed at which John was traveling in miles per hour, we will convert the given distance to miles and the time to hours, then divide the distance by the time. There are 5280 feet in a mile and 3600 seconds in an hour.
First, convert 1700 feet to miles:
1700 feet × (1 mile / 5280 feet) = 0.322 milesNext, convert 20 seconds to hours:
20 seconds × (1 hour / 3600 seconds) = 0.00556 hoursFinally, calculate the speed in miles per hour:
Speed = distance / timeSpeed = 0.322 miles / 0.00556 hours = 57.91 miles per hour (rounded to two decimal places)So, John was traveling at 57.91 miles per hour.
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or 1 key chain. She wants to use at least 5 times as many key chains as thumb drives. She has 25 thumb drives and 200 key chains.
Let x represent the number of key chains. Let y represent the number of thumb drives.
Which inequalities are among the constraints for this situation?
Select each correct answer:
A. y≤25
B. x+y≥50
C. x+5y≤50
D. x≥5y
E. x≤5y
Answer: answers B and E and C are correct
Answer:
E. x ≥ 5y
A. y ≤ 25
B. x + y ≥50
Step-by-step explanation:
Let x represent the number of key chains.
Let y represent the number of thumb drives.
As we know that:
She wants to use at least 5 times as many key chains as thumb drives<=> x ≥ 5y
She has 25 thumb drives<=> y ≤ 25
Trisha needs to make at least 50 gift bags for an event. Each gift bag will contain at least 1 thumb drive or key chain<=> x + y ≥50
So inequalities are among the constraints for this situation are:
x ≥ 5y
y ≤ 25
x + y ≥50
A copy shop charges $0.15 for each black and white copy and $0.80 for each color copy.Write an expression for the cost of m black and white copies and n color copies.PLZ HELP DUE IN 30 MINS!!!!!
The equation of a circle is (x−10)2+(y−8)2=256. What is the center of the circle? Enter your answer in the boxes.
Answer:
(10,8)
Step-by-step explanation:
The equation of a circle has the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.
Our equation is:
[tex](x-10)^2+(y-8)^2=256[/tex]
The center is (10,8).
The center of the circle given by the equation (x−10)² + (y−8)² = 256 is (10, 8). This can be derived from the standard form of a circle's equation. Therefore, the coordinates are (10, 8).
The given equation of the circle is (x−10)² + (y−8)² = 256.
This equation is in the standard form of a circle's equation, (x−h)² + (y−k)² = r², where (h, k) represents the center and r is the radius.
In this case, the values of h and k can be directly identified from the equation: h = 10 and k = 8.
Therefore, the center of the circle is at the coordinates (10, 8).