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erica [24]
3 years ago
13

At a pet show, the ratio of dogs to cats is 4:3. if the number of cats is 45, find the number of dogs at the show.answer:

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0
Dogs / cats : 4/3 = d / 45.....4 dogs to 3 cats = d dogs to 45 cats
cross multiply because this is a proportion
(3)(d) = (45)(4)
3d = 180
d = 180/3
d = 60
so when there is 45 cats, there is 60 dogs
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Samantha is saving to buy a new computer. the first month she saves $100. each of the following months she plans to save 10%more
Inessa [10]

She saves $100.She saves 10% more.They want to know how much they will save after 6 months. Multiply 10% by 6months and you get 60%.Then you multiply the answer of .60 (60%) by 100 and you get 60. Lastly, since you wanna know how much you saved,subtract $100-60 and your final answer you get is that she saves $40.Hope that helped!

8 0
3 years ago
Write y=x^2+24x+124 in vertex form. step by step
soldi70 [24.7K]

Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

3 0
2 years ago
Which statement correctly explains the chart?
makvit [3.9K]

The chart shows a production possibilities schedule for Sabrina’s Soccer.

Combination: Soccer balls: Soccer nets:

A 10 0

B 8 1

C 6 2

D 4 3

E 2 4

F 0 5

Which statement correctly explains the chart?

A. The opportunity cost of producing one soccer net is eight soccer balls.

B. The opportunity cost of producing two soccer nets is two soccer balls.

C. The opportunity cost of producing two soccer balls is one soccer net.

D. The opportunity cost of producing four soccer balls is three soccer nets.

The opportunity cost of producing two soccer balls is one soccer net.

Answer: Option 3

<u>Explanation:</u>

Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.

The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.

In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.

7 0
3 years ago
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NARA [144]

Answer:

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Step-by-step explanation:

3

3 0
3 years ago
A regular polygon has an exterior angle of 7.5 what is the sum of the interior angle
AVprozaik [17]

Answer:

540

Step-by-step explanation:

8 0
3 years ago
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