If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Divide as usual. ...
Put decimal point directly above decimal point in the dividend.
Check your answer.
Answer:
Here’s one way to do it.
Step-by-step explanation:
Example: Divide 0.539 by 0.11
0.11)0.539
Step 1. Move the decimal points so the divisor is a whole number.
Move them two spaces to the right in both divisor and dividend.
11)53.9
Step 2. Do the long division as usual.
The only difference is that you put the decimal point in the quotient directly above the one in the dividend.
4.9
11)53.9
44
99
99
0
0.539 ÷ 0.11 = 4.9
After a 15% off sale, a pair of Levi jeans were $11.50. How much was the original price of the Levi jeans?
Use the Counting Principle to find the probability of rolling a 4 on each of 3 number cubes
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.
We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].
But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].
Find the correct solution graph for inequality?
there are 54 girls in a bowling league. there are 2 girls for every boy in the league. how many boys are in the league?
Answer:
27 boys
Step-by-step explanation:
1. divide 54 by 2
the answer will come up to 27.
to check your work you can do 27 times 2
27 × 2 = 54
To convert 3 square feet to square centimeters, multiply 3 by 9.29 × 10-2
True
False
Final answer:
To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².
Explanation:
To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.
So, the correct conversion factor is (30.48 cm/1 ft)².
To convert 3 square feet to square centimeters, you can use the conversion factor as follows:
(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²
Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.
Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of hours, which expression would NOT show their total combined earning
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
BOLD number are multiples of 4 or 6
4 out of the 15 numbers are a multiple of either 4 or 6,
so the probablilty would be 4/15 or a 26.6% chance.
The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.
The spinner has 15 equal areas numbered 1 through 15.
If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;
The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.
multiple of 6 are 6 and 12.
multiple of 4 are 4, 8 and 12
union of the set = 4, 6, 8, 12
number of acceptable value = 4
The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value
probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15
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double d, then divide 9 by the result
a) 1
b) -20
c) 20
d) 7
[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]
Eight less than 5 times a number is 48 less than the number. Find the number.
Answer:
-10
Step-by-step explanation:
Write out the equation
5n-8=n-48
move like terms to the same side
4n=-40
divide 4n and 4 by 4 to get n by itself.
n=-10
The number is -10.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given,
Eight less than 5 times a number is 48 less than the number
Let the number be x
then statement can be written as
5x - 8 = x - 48
5x - x = - 48 + 8
4x = -40
x = 40/4
x = -10
Hence, -10 is the number.
Learn more about equation here:
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[tex] {x}^{2} = \frac{121}{196} [/tex]
[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]
Michael and Imani go out to eat for lunch.
Part A
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B
If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?
Answer:
Part A: $27.32
Part B: $32.24
Step-by-step explanation:
Part A:
$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.
Part B:
We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.
if you know 72=9×8,then _is_times as many as_
Answer:
72 is 8 times as many as 9
Step-by-step explanation:
72 is the product of 8 groups of nine
72 is 9 times as many as 8 is the answer that completes the statement.
To solve the equation 72 = q × 8, we need to find the value of q.
By dividing both sides by 8, we get:
72/8 = q × 8/8
q = 72/8
q = 9.
This means that 72 is 9 times greater than 8 and to correctly complete the statement, we write: 72 is 9 times as many as 8.
What is 1 1/4 + 1 1/8?
Answer:
2 3/8
Step-by-step explanation:
1 1/4 + 1 1/8
We need to get a common denominator to add the fractions. The common denominator is 8
1 1/4 *2/2 + 1 1/8
1 2/8 + 1 1/8
2 3/8
what is definition of equivalent fractions
Equivalent fractions are fractions that are equal to each other.
So they might have different denominators
and different numerators but they're
going to be equal fractions.
19. Describe how the graphs of y = |x| and y = |x + 5| are related. (1 point)
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
5.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
–5.
The two graphs are the same.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is
5.
Answer:
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is 5.
Step-by-step explanation:
When we add the 5 inside the absolute value, we shift the graph to the left 5 units. The y intercept of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 . The x intercept of y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5. The graph has the same shape
can someone please help me look for x and y, in the equations
2x= 4y-16
2x- y=-7
Answer:
y = 3 and x = -2 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Solve for y
4y - 2x = 16
-y + 2x = -7
3y = 9
y = 9 ÷ 3
y = 3
Input y to find x
2x = 4(3) - 16
2x = 12 - 16
2x = -4
x = -4 ÷ 2
x = -2
Input both x and y to see if it works
2(-2) = 4(3) - 16 2(-2) - 3 = -7
-4 = 12 -16 -4 -3 = -7
-4 = -4 -7 = -7
The solution to the system of equations is [tex]x = -2[/tex] and [tex]y = 3[/tex].
To solve the system of equations given by
[tex]2x = 4y - 16[/tex][tex]2x - y = -7[/tex]Here is a step-by-step guide on how to solve for [tex]x[/tex] and [tex]y[/tex].
Step 1: Simplify the first equation
Start by rearranging the first equation to express it in terms of one variable. We can isolate [tex]y[/tex]:
[tex]2x = 4y - 16[/tex]
[tex]4y = 2x + 16[/tex]
[tex]y = \frac{2x + 16}{4}[/tex]
[tex]y = \frac{x}{2} + 4[/tex]
Step 2: Substitute [tex]y[/tex] in the second equation
Now, we can substitute [tex]y[/tex] in the second equation:
[tex]2x - \left(\frac{x}{2} + 4\right) = -7[/tex]
Step 3: Solve for [tex]x[/tex]
Distributing the negative and simplifying:
[tex]2x - \frac{x}{2} - 4 = -7[/tex]
Multiply every term by 2 to eliminate the fraction:
[tex]4x - x - 8 = -14[/tex]
This simplifies to:
[tex]3x - 8 = -14[/tex]
[tex]3x = -14 + 8[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]
Step 4: Substitute [tex]x[/tex] back to solve for [tex]y[/tex]
Now substitute [tex]x = -2[/tex] back into the equation for [tex]y[/tex]:
[tex]y = \frac{-2}{2} + 4[/tex]
[tex]y = -1 + 4[/tex]
[tex]y = 3[/tex]
What is y=-2/9x+3 written in standard form using integers.
Chapman wants to purchase a gift for his mother that cost 55.75. If he has already saved 2/5 of this amount, how much money does Chapman saved
Answer:
$22.30
Step-by-step explanation:
To determine how much money Chapman saved from purchasing a gift for his mother, calculate 2/5 of $55.75, which equals $22.30.
To find how much money Chapman saved:
Calculate 2/5 of $55.75: (2/5) x $55.75 = $22.30
Therefore, Chapman saved $22.30
An amusement park sold a total of 86 tickets. 34 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?
Answer:
51,400 thats my answer hope it helps!
Given the height,h, and the volume v of a certain cylinder. Alex uses the formula
r= √v/πh to compute its radius r, to be 10 meters.
A second cylinder has the same volume as the first cylinder, but it is 25 times taller. What is the radius of the second cylinder?
Answer:
A = 2/5
Step-by-step explanation:
r = sqrt(v) / (pi*h)
10 = sqrt(v) /(pi * h)
Solve for the volume by multiplying by pi * h on each side
10 * pi * h = sqrt(v)
Now square each side
(10*pi* h) ^2 = v
Now we have a second cylinder with a height that is 25 times the height of the other cylinder but the same volume. Solving for volume, we will multiply by
r = sqrt(v) / (pi*h)
r = sqrt(v) /(pi *25h)
r* pi * 25h = sqrt(v)
Now square each side
(r*pi*25h) ^2 = (sqrtv) ^2
(r*pi*25h)^2 = v
The problem states the the 2 cylinders have the same volume
(10 * pi * h) ^2 = ( r * pi * 25h) ^2
Take the square root of each side
10*pi*h = r*pi * 25h
Divide each side by pi and h
10 = 25r
Divide by 25
10/25 =r
2/5 =r
This table represents a function. Plot points to represent the function as a graph.
X Y
-4 10
0 8
4 6
10 3
Answer:
it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(
Step-by-step explanation:
Answer:
The points represent a linear function (first-order polynomial).
Step-by-step explanation:
The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).
Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.
The solutions are ( __a0, __ a1) and ( __a2, __ a3)
Answer:
Solutions are (3, -8) and (5, -10)
Step-by-step explanation:
From the equation x + y + 5 = 0 :-
x = -y - 5
Substitute for x in the other equation:
y = (-y - 5)^2 - 9(-y-5) + 10
y = (y^2 + 10y + 25) + 9y + 45 + 10
y^2 + 18y + 80 = 0
( y + 8)(y + 10) = 0
y = -8, -10
Substitute these values of y in the equation x + y + 5 = 0:-
x = -8:-
x - 8 + 5 = 0 so x = 8-5 giving.x = 3
x = -10:-
x - 10 + 5 = 0 sox = 10-5 giving x = 5
a math club earns $2,080 from selling 62 floor seats and 120 Stadium seats to a lip sync Talent competition at the floor seats cost twice as much as Stadium seats find the price of each ticket
Answer:
Price of floor seat =$ 17 and
Price of stadium seats = $8.5
Step-by-step explanation:
Let x represents the cost of floor seats and y represents the cost of stadium seats.
Then, from the given condition, we have;
Total cost for selling floor seats = 62x and the total cost for stadium seats = 120y.
Since, a math club earn $2,080.
⇒ 62x + 120y = 2080 .....[1]
Also, it is given that the floor seats cost twice as much as Stadium seats.
⇒ x = 2y .....[2]
Substitute this equation [2] in [1] we get;
[tex]62(2y) + 120y = 2080[/tex]
Simplify:
124y + 120y =2080
Combine like terms;
244y =2080
Divide both sides by 144 we get;
[tex]y = \frac{2080}{144} = 8.5[/tex]
⇒y = $8.5
Substitute this in [2] we get x;
x = 2(8.5) = 17
i.e, x = $ 17
Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5
PLEASE ANSWER 30 POINTS!
To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. How many deer are in the forest?
Answer:
2520
Step-by-step explanation:
There are 405 deer per 45 tags.
The ranger tagged 280 deer.
No. of deer = 280 × 405/25
No. of deer = 280 × 9
No. of deer = 2520 deer
There are 2520 deer in the forest
Answer:
Total deers in the forest is 640
Step-by-step explanation:
Since the Number of tagged deer is 280
the number of caught deer is 405 after all tagged deers were released
Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest
The number of deers in the forest is
405-45+250=640
The remaining tagged deer that did not return is
280-45= 235
I just need the answers for 10 and 12
Answer:
10.) y = -5x + 7
12.) y = 3/2x - 8
Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.
10.)
2 = -5(1) + b.
2 = -5 +b
b = 7
therefore...
y = -5x + 7
12.)
2(-5) = 3(2) + b
-10 = 6 + b
b = -16
therefore...
2y = 3x - 16
simplified:
y = 3/2x - 8
A pole has a shadow that is 15 feet long.Mary is 4 feet tall and her shadow is 10 feet tall.how tall is the pole? ☹
ASAP
PLEASE HELP!
ANYONE HELP
ASAP
FAST
Answer:
The pole is 6 ft tall
Step-by-step explanation:
We can solve this using ratio's
4ft tall Mary x ft tall pole
----------- = -------------------
10 ft shadow 15 ft shadow
Using cross products
4 * 15 = 10 x
60 = 10x
Divide by 10
60/10 = 10x/10
6 =x
The pole is 6 ft tall
Answer:
it is 6 feet
Step-by-step explanation:
i dont have much of an explaination except that you have to draw a diagram inorder not tom get confused.
hope it helps.
what number multipled by its self equals 3600
Answer: The answer is 60.
Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.
The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.
I hope this helps!
If you have a two- digit divisor and a three- digit dividend, does the quotient always have the same number of digits? Please help ASAP!!!
jason eat 1/4 of the whole pizza for dinner write a fraction that reprents the amount of pizza that is remaining after dinner
Answer:
3/4
Step-by-step explanation:
- He ate 1/4
- 4-1=3
- 3/4 of the pizza is left
Final answer:
The fraction representing the remaining pizza after Jason ate 1/4 of it is 3/4. We calculate this by subtracting the portion Jason ate (1/4) from the whole (4/4).
Explanation:
If Jason ate 1/4 of the whole pizza for dinner, we can easily calculate the fraction that represents the amount of pizza remaining. To find out the remaining portion of the pizza, we subtract the portion Jason ate from the whole. Since the whole is considered to be 1 (or 4/4 in this case, as there are four quarters in a whole), we subtract 1/4 from 4/4:
Remaining pizza = Whole pizza - Portion eaten by Jason
Remaining pizza = 4/4 - 1/4
Remaining pizza = (4 - 1)/4
Remaining pizza = 3/4
Therefore, the fraction that represents the remaining pizza after Jason has eaten is 3/4.