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4 years ago

7

A cat rescue service found homes for 40 cats in 5 weeks. What was the rate of cats being placed per week? Which ratio is equal t

o the weekly rate?
A)
8 cats
1 week
; 24: 3
B)
1 cat
8 weeks
; 6 : 48
C)
4 cats
2 weeks
; 12 : 6
D)
16 cats
3 weeks
; 16 : 3

2 answers:

ExtremeBDS [4]4 years ago

7 0

A. 8 cats per week. if you simplify 40/5, it equals 8/1

miss Akunina [59]4 years ago

3 0

Answer:

It would be 8 cats per 1 week.

Step-by-step explanation:

The reason why i say this is because to find the rate, you have to figure out how many cats would fit into 1 week. So what you have to do is divide 5 by 40 and you get 8 cats within one week.

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Which of these ratios is not a rate?

Doss [256]

Answer:

i think it is B

Step-by-step explanation:

because that one isn't really a rate as much as the other ones are, its more of a ratio, i'm bad at explaining things, hope its correct :D

6 0

3 years ago

If two lines are parallel, corresponding angles are _________.

jolli1 [7]

B. congruent, im pretty sure

6 0

3 years ago

Read 2 more answers

Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

or

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

7 0

3 years ago

Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai

Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, $f(x)=-2\sqrt{x-7}+1$ .

So, the domain of the function is obtained when $x-7\geq 0$ i.e. $x\geq 7$

That is, the domain is {x | x≥ 7}.

Now as we have,

$x\geq 7$ → $x-7\geq 0$ → $\sqrt{x-7} \geq 0$ → $-2\sqrt{x-7} \leq 0$ → $-2\sqrt{x-7}+1 \leq 1$ .

That is, $f(x)\leq 1$

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0

3 years ago

Can someone also explain how to get the answer thank u

goblinko [34]

Answer:

$m = -\frac{194}{3}$

Step-by-step explanation:

I'm assuming you are trying to find m. In order to do so, you need to get m on one side.

Before doing that let's multiple -2 and -3m by $\frac{4}{3}$

$256=-\frac{8}{3} - 4m$

add $-\frac{8}{3}$ to both sides

$258\frac{2}{3}=-4m$

I would get rid of the fraction so I'd multiply both sides by $\frac{3}{1}$

$\frac{776}{3}*3 = 4m*3$

$776=-12m$

divide both sides by -12m

$m = -\frac{776}{12}$

which can be simplified to

$m = -\frac{194}{3}$

ALL UNLESS THAT $\frac{4}{3}$ IS A POWER

3 0

3 years ago