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3 years ago

1) Solve for a. Show your work. 5(6.2a + 9.8) = 18

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

Simplifying

5(6.2a + 9.8) = 18

Reorder the terms:

5(9.8 + 6.2a) = 18

(9.8 * 5 + 6.2a * 5) = 18

(49 + 31a) = 18

Solving

49 + 31a = 18

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-49' to each side of the equation.

49 + -49 + 31a = 18 + -49

Combine like terms: 49 + -49 = 0

0 + 31a = 18 + -49

31a = 18 + -49

Combine like terms: 18 + -49 = -31

31a = -31

Divide each side by '31'.

a = -1

Simplifying

a = -1

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Solve this system of linear equations. Separate the x- and y-values with a comma. -7x + 2y = -8 -16x + 9y = 26

Goryan [66]

(4,10).
1. There are three ways to solve this: elimination, substitution, graphing.
2. I chose elimination, so I had to get one negative variable and one positive variable of the same value (for example, 18 and -18)

-7x+2y=-8
-16x+9y=26
I chose to get 2y and 9y to equal -18y and 18y.
So, multiply the first equation by -9. Multiply the second by 2.
63x-18y=72
-32x+18y=52
the 18s cross each other out. So you're left with
63x=72
-32x=52. Add them.
31x=124, divide both sides by 31, and you'll get 4.
x=4
Plug your answer for x into one of the equations. Let's use the first one.
-7(4)+2y=-8
-28+2y=-8. add 28 to both sides.
2y=20, divide both sides by 2.
y=10.
This makes your answer (4,10)

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4 years ago

El equipo de corredores de la escuela organizo una carrera de 20 kilometros para ello deberan corre un circulito de 1000 metros.

julsineya [31]

Answer:

corrieron 50 kilómetros de la escuela a la casa

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3 years ago

A number is divided by 3 and decreased by 5 is 6. What is the number???

KATRIN_1 [288]

Answer:

Given : x/3-5=6

answer = 23

Step-by-step explanation:

x-5=6*3

x-5=18

x=18+5

x=23

7 0

3 years ago

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The question is below

Anna35 [415]

Answer:

12) A = 27

13) B = 36

14) C = 25

15) D = 30

Step-by-step explanation:

We need to complete the ratio tables

We are given:

Footballs 15 5 20 C D

Baseballs A 9 B 45 54

The table shows the ratio of footballs to baseballs.

We are given the ratio $\frac{Football}{Baseball}=\frac{5}{9}$

All other ratios will also be simplified to get $\frac{5}{9}$

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that $\frac{5\times3}{9\times3}= \frac{15}{27}$

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that $\frac{5\times4}{9\times4}= \frac{20}{36}$

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that $\frac{5\times5}{9\times5}= \frac{25}{45}$

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that $\frac{5\times6}{9\times6}= \frac{30}{54}$

So, D = 30

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4 years ago

9x+3x-10=3(3x+x)? Identity or no solution show steps

Lubov Fominskaja [6]

Answer:

There is no solution

Step-by-step explanation:

NO SOLUTION

4 0

3 years ago

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