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Marysya12 [62]
3 years ago
10

Evaluate 5a + 5b; a= -6, b= -5

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
5a + 5b....a = -6 ad b = -5

5(-6) + 5(-5) =
-30 + (-25) =
-30 - 25 = - 55 <==
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Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds using percentages how much better was her second lap
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Answer:

Her second lap was <u>8%</u> better when compared to her first lap.

Step-by-step explanation:

Given:

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.

Now, to find how much better was her second lap when compared to her first lap.

Emily ran her first lap in 75 seconds.

Emily ran her second lap in 69 seconds.

So, we get the difference in seconds:

75-69=6\ seconds.

<u><em>Thus, in her second lap she was 6 seconds better than first.</em></u>

Now, to get the percentage of her first lap better than second:

\frac{6}{75}\times 100

=0.08\times 100

=8\%.

Therefore, her second lap was 8% better when compared to her first lap.

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Step-by-step explanation:


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The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
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Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

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and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

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Then te length of the hypotenuse is 35 inches.

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