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pantera1 [17]
3 years ago
13

At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?

Mathematics
1 answer:
postnew [5]3 years ago
6 0

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

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What is the distance between the tick marks on the number line?
lora16 [44]

Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

8 0
2 years ago
Special Right Trianglws
Masteriza [31]

Answer:

x = 2\sqrt7

y = 2\sqrt7

Step-by-step explanation:

Hello!

This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)

Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.

In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by \sqrt2.

So, let's use leg y, y\sqrt2 = 2\sqrt{14}

Solve for y:

y\sqrt2 = 2\sqrt{14}\\\\y = $\frac{2\sqrt{14}}{\sqrt2}$\\\\y = 2\sqrt7

y = 2\sqrt7, which means that x is also 2\sqrt7

3 0
2 years ago
Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how m
artcher [175]

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

5 0
3 years ago
True or false variable is a letter used in place of a number
VikaD [51]
Answer: TRUE!


Variables ARE letters used in place of numbers absolutely
5 0
3 years ago
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