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3 years ago

An animal shelter has a ratio of cats to dogs that is 9:7.

Mathematics

2 answers:

melamori03 [73]3 years ago

5 0

Answer:

A) C. 7:16

B) second shelter

Step-by-step explanation:

A) Given that the shelter has a ratio of cats to dogs that is 9:7 and only houses dogs and cats, then there are 7 dogs for every 7+9 = 16 total number of animals, that is, the ratio of dogs to total animals is 7:16.

B) A ratio of 6:5 means that there are 6 cats for every 5 dogs. If the second shelter has 18 (=6*3) cats, then it has 3*5 = 15 dogs. That is, 6:5 is equivalent to 18:15

The first shelter has 9 cats for every 7 dogs. If it has 18 (=9*2) cats, then it has 7*2 = 14 dogs. That is, 9:7 is equivalent to 18:14

Luda [366]3 years ago

3 0

Answer:

C 7/16

Shelter B has more dogs

Step-by-step explanation:

Part A

Cats : dogs : total

9 7 9+7=16

dogs/ total

7/16

Part B

Cats : dogs : total

6 5 6+5=11

If they both have 18 cats

Shelter A

Cats : dogs : total

9 7 16

Multiply by 2

18 14 32

Shelter B

Cats : dogs : total

6 5 11

Multiply by 3

18 15 33

Shelter A has 14 dogs, Shelter B has 15 dogs

Shelter B has more dogs

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3 years ago

Read 2 more answers

A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?

malfutka [58]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

Step-by-step explanation:

Given the points

(-39,49)

(0,0)

Finding the slope between the points using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)$

$m=\frac{0-49}{0-\left(-39\right)}$

$m=-\frac{49}{39}$

We know that the point-slope of the line equation is

$y-y_1=m\left(x-x_1\right)$

substituting $m=-\frac{49}{39}$ and (-39,49) in the equation

$y-y_1=m\left(x-x_1\right)$

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

Now writing the equation in slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)$

$y-49=\frac{-49}{39}\left(x+39\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-49=-\frac{49}{39}\left(x+39\right)$

$\mathrm{Add\:}49\mathrm{\:to\:both\:sides}$

$y-49+49=-\frac{49}{39}\left(x+39\right)+49$

$y=-\frac{49}{39}x+0$ ∵ $y=mx+b$

Where

$m=-\frac{49}{39}$ and the y-intercept i.e. $b=0$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{49}{39}x+0$

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3 years ago

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stiks02 [169]

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3 years ago

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

we know that

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Let

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we have that

$\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1$

solve for x

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Multiply both sides by 60

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simplify

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$60x=60-37\\60x=23\\x=\frac{23}{60}$

therefore

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4 years ago

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