Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.


StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?

Answer:

The property used here is: Multiplication property of Equality

Step-by-step explanation:

Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways

Way 1: Solving using proportion:

[tex]\frac{x}{4}=\frac{36}{16}[/tex]

By cross multiplying:

[tex]16x=144[/tex]

Divide both sides by 16

[tex]x=9[/tex]

Way 2:

She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps

Multiply both sides by 4

[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]

We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]

The property used here is: Multiplication property of Equality

The property states that if A , B and C are real numbers then

A = B and AC = BC are equivalent.

Answer:

C

Step-by-step explanation:

If y=32 when x=8, find y when x=30.

3/5 divided by what makes 3/10
I will make it the brain lieset answer

Please answer this question

9. The figures are similar. Find x.
9.
9
40
X
24

An airplane can seat up 175 passengers

Which two points should the line of best fit go through to best represent the data in the scatterplot? ​

206,690 subtracted by -232,500

I need help please ​

Function g is a transformation of the parent exponential function. Which statements are true about function g?

Function g is 4 units above function f.
Function g has a y-intercept of (0,4).
The domain of function g is x > 0 .
Function g decreasing over the interval (negative infinity, 0) .
The range of function g is (3, infinity) .
Function g is positive over the interval (negative infinity, infinity) .

Given the points (2, 4) & (-1,-5), what is the equation of the line?

1. Round each length to the nearest inch.
a) [tex]1 \frac{1}{4} [/tex] ____"
​b) [tex] \frac{7}{8} [/tex] ____"
c) [tex]1 \frac{1}{2} [/tex] ____"
d) [tex]2\frac{5}{8} [/tex] ___"
e) [tex]1\frac{5}{16} [/tex] ___"
f) [tex]4\frac{11}{16} [/tex] ___"

2. Round each length to the nearest foot.
a) 10" _____'
b) 2'9" ____'
c) 2'6" ____'
d)2'9" ____'
e)1'2" ____'
f)9'3" ____'​

16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!

Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is

While taking a ride in a hot-air-balloon in Napa Valley, Francisco wonders how high he is. To find
out, he chooses a landmark on the ground that is to the east of the balloon and measures the angle of
depression to be 54°. A few minutes later, after the balloon floats horizontally 100 feet east, closer to the
landmark, the angle of depression to the same landmark is determined to be 61°. Determine the height h
of the balloon. Round your answer to the nearest tenth.

a) Find the measures of ∠1, ∠2, ∠3 and ∠4:

∠1 = ________ ∠2 = ________
∠3 = ________ ∠4 = ________
b) Solve for the height of the balloon, h. You may use any
appropriate method but must show your work!

I will mark brainliest
I need help ​

What is the slope for the points (-2,-8) and (1,7)?

need help math question​

What is the circumference of the circle below?

WILL MARK BRANLIEST IF GOTTEN RIGHT

How many solutions does the following equation have?
4(5 - 2v) =4 - 8(v-2)
2)
(A) 1 solution
(B) No solutions
(C) Infinite Solutions

A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.​

Area of a right triangle (7,6)

Press on the picture to see the full picture. I’m really stuck

An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calculate the discounted cost first and then find the tax on the discounted cost.)

what is the variable to 3x-5 ​

WILL GIVE BRAINLY TO FIRST
Question 5 of 17
Which steps show how to use the distributive property to evaluate9 - 67?
O A. 9(67) = 9(70 - 3) = 9 . 70 +9-3 = 630 + 27 = 657
O B. 9(67) = 9(70
OC. 9(67) = 9(70 – 3) =9 .70 – 3 = 630 - 3 = 627
OD. 9(67) = 9(70– 3) = 9.70- 70 3 = 630 - 210 = 420
3) =9.70 -93= 630 -27 = 603

a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?​

HELP ASAP
Betsy cut up 5 apples to make a pie. In total there were 35 apple seeds. On average, how many seeds were there per apple?

Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept

b. Find the coordinates of the x-intercepts

c. Find the coordinates of the vertex

d. Use the above information to sketch a graph of f(x)

What is the measurement of

Find the Retail Price. Given: Original Price: $60; Markup: 18%