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3 years ago

A pet survey found that the ratio of dogs to cats is 2/5. Write and solve a proportion that shows the number of dogs

1 answer:

7 0

So,

The ratio of dogs to cats:
$\frac{2}{5}$

The other proportion:
$\frac{x}{140}$

$\frac{2}{5} = \frac{x}{140}$

5 times 28 is 140.

Multiply the fraction by the appropriate form of 1
$\frac{2}{5} * \frac{28}{28} = \frac{56}{140}$

There are 56 dogs when the number of cats is 140.

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State if the triangles are similar. If so, how do you know they are

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Step-by-step explanation:

they're similar since 36 % 9 = 0 and 24 % 6 = 0 (they leave no remainder)

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1 year ago

Find the volume. Round to nearest hundredth

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Answer:

2pir^2 + 2pirh

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2 years ago

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

lord [1]

We are given

The average income, I, in dollars is

$I=-425x^2+45500x-650000$

(a)

now, we are given

average income is $275000

so, $I=275000$

now, we can set them equal

and then we can solve for x

$275000=-425x^2+45500x-650000$

$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

so,

$x=27$ ............Answer

(b)

we are given

x=40

so, we can plug it and find I

$I=-425(40)^2+45500(40)-650000$

$I=490000$ ..............Answer

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3 years ago

2 six-sided dice, one green and one red, are released. What is the probability that : The number on the red die is 3

prisoha [69]

1/6 bc they all have an equal chance to be all the numbers on the die and their is only 6 numbers on the die so you have 1:6 probability of it being 3

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1 year ago

815<br> divide by 9 work

yKpoI14uk [10]

90.555555555555 repeating

3 0

2 years ago