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nexus9112 [7]
3 years ago
11

The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
20% are cats.

20 cats/300 total animals=0.2

0.2 is the same thing as 20%.
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Jorge is building a train set for his cousin. He has a piece of plywood that measures 49.5 inches in length, and he needs 2.25 i
Arada [10]

Answer: 22 pieces

Step-by-step explanation:

You have to divide 49.5 ÷ 2.25

49.5÷2.25= 22

Jorge can cut 22 pieces of plywood for the tracks.

3 0
3 years ago
A pool is being drained at a constant rate. The amount of water is a function of the number of minutes the pool has been drainin
ioda
12a+b=4962
20a+b=4754
8a=-208
a=-26
-312+b=4962
b=4962+312
b=5274
y=-26x+5274
x=0 -- y=5274
<span>y=0 -- 26x=5274, x=80.85 (approx.)</span>
8 0
3 years ago
Read 2 more answers
Solve for the missing side “b” and simplify your answer.
tensa zangetsu [6.8K]

Answer: sqrt(62)

Step-by-step explanation:

8 0
3 years ago
How many pairs (a, b), where a and b are positive integers, satisfy the equation a2−b2=105? PLS HELP
Vlad [161]

Answer:

  4

Step-by-step explanation:

The left side of the equation can be factored as the difference of squares:

  (a -b)(a +b) = 105

The right side of the equation can be factored to 4 different pairs of factors:

  105 = 1·105 = 3·35 = 5·21 = 7·15

For each of the factor pairs, we can match factors to get, for example, ...

  a -b = 1

  a +b = 105

The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...

  (a, b) = (53, 52)

For the other factor pairs, the solutions are ...

  (a, b) = (19, 16), (13, 8), (11, 4)

There are a total of 4 positive integer solutions.

6 0
3 years ago
$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest
Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

4 0
2 years ago
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