a number is added to 9. the result is then multiplied by 4 to give a new result of 120. what is the number ?

Answers

Answer 1

Hello there!

A number is added to 9. << Since we don't know the name of the number, we will call it x.

A number is added to 9 = x + 9

Then they say the result is then multiplied by 4 to give a new result of 120.

We need to turn this into an equation.

(x + 9) * 4 = 120

Use the distributive property

(x)(4) + (4)(9) = 120

4x + 36 = 120

Add 36 to both sides

4x + 36 - 36 = 120 - 36

4x = 84

x = 84/4

x = 21

Thus, the number is 21

I hope the details are clear to understand. If you don't understand something, please feel free to leave a comment down bellow...

As always, I am here to help!

Answer 2

Answer:

n=21

Step-by-step explanation:

Ik im late but hopefully it can help other people :)

The equation is :

4(9+n)=120

n+9=120/4

n+9=30

n+9-9=30-9

n=21

Please rate... Thankyou :)

Related Questions

a carpenter needs 30 rafters, each 380cm long. find the total length of rafters in meters. (2 steps)

Answers

the answer is 114 meters

The movie theater received a shipment of candy boxes in a carton that has a volume of about 64,000 cubic inches. Each candy box is 6 inches by 5 inches by 1/2 inch. The carton is completely full. About how many candy boxes are in the carton? About 10,000 About 4,000 About 1,000 About 2,000

Answers

To find this answer or you would divide the total volume by the volume of each box of candy. To find the volume of each box of candy you would multiply the length by the width by the height. 6 x 5 by 1/2 equals 15 in.³ per box. 64,000 is approximately 60,000, so 60,000÷15 = 4000 boxes approximately.

Kyle exercised hours on Wednesday, hours on Thursday, and hours Friday. How many hours did Kyle exercise in the three days? A. 11 1/26 B. 8 11/16 C. 8 3/26 D. 4 3/16

Answers

i am pretty sure that the correct answer is
B. 8 11/16 hr

it’s B: 8 11/16 that’s how many hours Kyle exercised

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT of the polygon?

Answers

The equation you use is:

(-6)-1 because the y-axis value is the same you don't need to worry about it.
Your answer is "7 units."

Answer:

The length of Side RT of the polygon is [tex]7\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]R(-6,2)\\T(1,2)[/tex]

substitute the values

[tex]d=\sqrt{(2-2)^{2}+(1+6)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(7)^{2}}[/tex]

[tex]dRT=7\ units[/tex]

prove the identity cos(x-y)-cos(x+y)=2sinxsiny

Answers

Answer:

see the procedure

Step-by-step explanation:

we know that

[tex]cos(X - Y) = cosX cosY + sinX sinY\\cos(X + Y) = cosX cosY - sinX sinY[/tex]

[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-(cosX cosY - sinX sinY)[/tex]

[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-cosX cosY + sinX sinY[/tex]

[tex]cos(X - Y)-cos(X + Y)=sinX sinY+ sinX sinY[/tex]

[tex]cos(X - Y)-cos(X + Y)=2sinX sinY[/tex] ----> is verified

In a sale, normal prices are reduced by 20%. The sale price of a shirt is £26. Calculate the normal price of the shirt

Answers

26/80*100 = £32.50 is your answer

Final answer:

The original price of the shirt before the 20% discount was £32.50.

Explanation:

In your question, you've stated that a shirt was bought at a sale price of £26, after a reduction of 20%. Therefore, the 20% reduction is equivalent to the difference between the original price and the sale price. To find the original price, we need to understand that the £26 is 80% of the original price as 100% (the original price) minus the 20% reduction equals 80%. So, we can set up the equation as follows:

0.80(x) = 26

To find the value of x (the original price), we divide both sides of the equation by 0.80

x = 26 ÷ 0.80

Therefore, the original price of the shirt was £32.50.

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What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is

A.102 cm²
B.135 cm²
c.168 cm²
d.340 cm²

Answers

The area of a trapezoid is given by
.. A = (b1 +b2)/2*h
.. = (13 cm +21 cm)/2*(6 cm)
.. = 102 cm^2 . . . . . . . . . . . . . . corresponds to selection A

Problem
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.

Answers

you could write is this way (y+x)-100

Phil gets x dollars, but before he gets x dollars, he needs to pay 100 dollars to enter the tournament. Therefore the net winning is not x dollars but you should substract 100 dollars from x.

So, the expression of the net winning will be
[tex]\boxed{x-100}[/tex]

Simplify the expression. 8 – 3(–12x + 2)

Answers

8-3(-12x+2)
Rewrite as a sum of terms.
8+(-3)(-12x+2)
Use distributive property
8+ 36x+ (-6)
Add like terms
2+36x

Simple-
First distribute the second part of the equation.
-3(-12x + 2)
36x - 6
next- plug that into the equation.
8 + 36x - 6
Add similar ones together,
36x + 2 is your answer.
Hope this helps!

The two triangle-shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work.

Answers

z=10yd
y=38 degrees
x=90 degrees
w=180-128= 52 degrees
u=6.2yd
v=7.9yd

Hope this was helpful! Mark brainiest if you can

The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The two triangle-shaped gardens are congruent. Then the corresponding side will be equal. Then we have

u = 6.2 yards

v = 7.9 yards

y = 38°

w + y = 90°

w + 38° = 90°

w = 52°

z = 10 yards

The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.

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heeeeeeeeeelp

Name the property shown. (9 + 4) + 10 = 9 + (4 + 10)

Answers

I believe that is the associative property of addition. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)

This is the Associative Property of Addition. When adding number or variables, the result is the same irrespective of how you group them together, as is clear here.

A bakery supplier receives an order for 2 tons of sugar from a bakery chain. The sugar is shipped in crates. Each crate holds eight 10 pound bags of sugar. How many crates does the supplier need to ship to fulfill the order?

Answers

Each crate holds 8 times 10, or 80 pounds. 2 tons is 4,000 pounds. The answer is 4,000/80 or 400/8, or 50 crates.

Seven-tenths of a number decreased by thirteen is equal to three-tenths the number increased by 13. Find the number.

Answers

Create an equation from the word problem. 'of' indicates multiplication, 'decreased' indicates subtraction, 'increased' indicates addition. Let's use 'x' for the number.

[tex]\sf\dfrac{7}{10}x-13=\dfrac{3}{10}x+13[/tex]

Now solve for 'x'. Subtract 3/10x to both sides:

[tex]\sf\dfrac{4}{10}x-13=13[/tex]

Add 13 to both sides:

[tex]\sf\dfrac{4}{10}x=26[/tex]

Divide 4/10 to both sides or multiply by its reciprocal, 10/4:

[tex]\sf x=\boxed{\sf 65}[/tex]

Fred has 4 pencils (red, blue, green, and yellow), 3 notebooks (plain, lined, graph), and 9 pieces of chalk (all different colors). He always takes one pencil, one notebook, and one piece of chalk to class.

If he wanted to take a unique combination to class every day, how many days would he be able to do this before he would be forced to repeat one of the combinations?

Answers

Around 9 days, because there is a probability of 11% of having a piece of chalk, which is the smallest of the three objects.

multiply all the numbers, and you will get the answer of 108

Sam finds that the area of a square measured in yards is 16. How could the this measurement be written? Check all that apply.
16 yards
16 square yards
16 yards2
16 sq. yards
16 squares

Answers

16 square yards
16 yards2
16 sq. yards

Answer:

The answer is: B,C,D

Step-by-step explanation:

16 square yards

16 yards2

16 sq. yards

Which type of graphs might be used to show data with qualitative categories?

Answers

Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.

What is a histogram?

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

As we know,

For the primary analysis, there are many alternative infographics that can be applied.

Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.

The most prominent visual representations of primary analysis are pie charts and graphical representations.

Thus, bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.

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Gary painted some shapes. Select one number from each column to show a fraction greater than 1 that names the parts Gary painted

Answers

The answer to this would be to choose a 24 from the numerator column and the 8 from the denominator column. Each piece represents 1/8, so 24 of these makes 24 groups of 1/8. This is the same as saying 24/8. Also equivalent to 3 wholes as seen in the picture.

Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn?
*please explain how you got the answer if possible*

Answers

you are told that sprinklers run for the same amount of time. lets refer to this time as T.
you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds

Final answer:

To water the entire lawn with 10 sprinklers, each running for the same amount of time, it will take a total of 125 minutes.

Explanation:

Ms. Reynold's system of sprinklers is designed to run sequentially, with each sprinkler getting an equal duration of run time. We know that the first 4 sprinklers run for a total of 50 minutes.

To find out how long one sprinkler runs, we divide the total time of 50 minutes by the number of sprinklers that have run, which is 4:

50 minutes ÷ 4 sprinklers = 12.5 minutes per sprinkler.

Now that we know each sprinkler runs for 12.5 minutes, we can calculate the total time to run all 10 sprinklers by multiplying the time per sprinkler by the total number of sprinklers:

12.5 minutes per sprinkler × 10 sprinklers = 125 minutes.

Therefore, it will take 125 minutes to water her entire lawn using all 10 sprinklers.

Write the resultant of the 2 vectors as an ordered pair. <5, -2> and <0,0>

Answers

The two vectors are <5, -2> and <0 0>.

The resultant of the two vectors is the ordered pair obtained by summing their components.
The resultant vector is
<5+0, -2+0> = <5, -2>

Answer: <5, -2>

Which property justifies the following statement? If 3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.

Answers

The addition property of equality justifies adding the same number to both sides of an equation.

Answer: Addition Property of Equality

Step-by-step explanation:

What is the volume of the triangular prism to the nearest whole unit?

A. 864 ft^3
B. 432 ft^3
C. 216 ft^3
D. 492 ft^3

Answers

Answer: B

Step-by-step explanation:

The solution is Option B.

The volume of the triangular prism is given by the equation V = 432 feet³

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the prism be represented as V

Now , the equation will be

Let the base area of the prism be B

Let the height of the prism be h = 2 feet

Now , the length of the prism L = 18 feet

The width of the prism W = 12 feet

So , the base area B = L x W

Substituting the values in the equation , we get

The base area of the prism B = 216 feet²

So , Volume of Prism = B x h

Substituting the values in the equation , we get

Volume of Prism V = 216 x 2 feet³

Volume of Prism V = 432 feet³

Hence , the volume of prism is 432 feet³

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Hannah is drawing a map using 1/2 inch=20 miles

The towns of denton and Harper are 56 miles apart. what is the distance in inches between the two cities on the map?

Answers

The answer is 1.4 inches.
You have 1/2inch=20miles
You cross multiply 1/2inch by 56 and x inches by 20 miles to get 20x=28 you divide to get your answer.

Carrie's Catering is having a special on their box lunches. The minimum purchase is 13 boxes for $91. Each additional box is $5. If x represents the number of boxes over the minimum, which of the following equations represents the cost of box lunches during this special?

Answers

There aren't any "following" equations, but I can give you one nonetheless.
y = 91 + 5x
This is because 91 is the minimum and y-intercept, x is each individual box, and the 5 is $5 per box.
Hope this helps!

Which type of function is represented by the table of values below?

x

y

1

4

2

16

3

64

4

256

5

1,024

exponential

linear

quadratic

square root

Answers

Answer:

Exponential :)

Step-by-step explanation:

How many 4-letter code words can be made using the letters in the word pencil if : (a) Repetitions are permitted?

Answers

the answer would be six

Final answer:

The total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.

Explanation:

To determine how many 4-letter code words can be made using the letters in the word 'pencil' with repetitions permitted, we consider that each position in the 4-letter code word can be filled by any of the 6 letters from the word 'pencil'. Therefore, for each position, there are 6 choices.

Using the fundamental counting principle, the total number of possible 4-letter code words given that repetitions are allowed is calculated as follows:

First position: 6 possibilitiesSecond position: 6 possibilitiesThird position: 6 possibilitiesFourth position: 6 possibilities

Thus, the total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.

29,39,59 and 79. What is the composite number

Answers

39. It is divisible by 3 so it isn't prime.

39 is the composite number because it is divisible by more than one pair of numbers. The pair includes 1 and 39, 3 and 13, 13 and 3, 13 and 3

For every increase of one on the Richter scale, an earthquake is ten times more powerful. Which of the following models this situation? A.linear function with a negative rate of change B.linear function with a positive rate of change C.exponential decay function D.exponential growth function

Answers

i think it is d, hope it helps! :)

an example of an equation that is a linear function explain why it is linear

Answers

One example of a linear equation is
y = 7x + 4 because the slope is a set number and the graphed version of the equation is a completely straight line.
Hope this helps!

Find the principal square root of each expression. Show your work.

Answers

[tex] = \frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3} [/tex]

Help pleasee just number 5

Answers

if it's a cube, the volume can be found by multiplying 28 to itself 3 times

28 cm x 28 cm x 28 cm = 21952 cm^3

Well, a cube is equal on all sides so the volume is V=L*W*H. But multiplying the length and Width gives you a base, so the correct formula is V=B*H. V=784*28. Now solve. 784*28 is 21952. So the volume is 21952. The area is 784 so the shape can hold up to 784 cm

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