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2 years ago

10

A painter used 2 1/2 gallons of paint to paint 1/3 of a room. At this same rate, how many gallons will it take to paint the whol

e room?

2 answers:

Anna71 [15]2 years ago

6 0

Answer:

7 1/2

Step-by-step explanation:

I have no idea how to solve it I just guessed and got it right lol

kirill115 [55]2 years ago

5 0

Answer:

7 1/2

Step-by-step explanation:

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Please, help me, im really desperate for help.<br><br> Max answer choices is 3

steposvetlana [31]

Answer:

I would say A, B, D

Step-by-step explanation:

I am bad at this sorta stuff so i am very very sorry if its wrong!!! :(

5 0

2 years ago

∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure

exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

so

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

so

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?

Vlad1618 [11]

Answer:

y = 7x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 8 ← is in slope- intercept form

with slope m = 7

Parallel lines have equal slopes, thus

y = 7x + c ← is the partial equation

To find c substitute (5, 22) into the partial equation

22 = 35 + c ⇒ c = 22 - 35 = - 13

y = 7x - 13 ← equation of parallel line

3 0

2 years ago

For the population of all college students currently taking a statistics course, you want to estimate the proportion who are wom

inessss [21]

Answer:

No

Step-by-step explanation:

To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.

5 0

2 years ago

Suppose a South Korean inspirational speaker speaks from a rectangular stage measuring 30 feet by 70 feet. Find the area of the

OleMash [197]

The area of a rectangle is calculated my multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 70 feet while the width (shorter side) is 30 feet. Hence the area is 2,100 ft2.

4 0

2 years ago