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Mademuasel [1]
2 years ago
15

Solve each of these equations. Explain or show your reasoning. 2(3x+2)=2x+28 5y+13=-43−3y 4(2a+2)=8(2−3a)

Mathematics
2 answers:
dalvyx [7]2 years ago
7 0

Answer:

x = 6

y = 7

a = 1/4

Step-by-step explanation:

Equation 1:

2(3x+2) = 2x + 28

6x + 4 = 2x + 28

4x = 24

x = 6

Equation 2:

5y+13 = -43-3y

8y = -56

y = -7

Equation 3:

8a + 8 = 16 - 24a

32a = 8

a = 1/4

vovangra [49]2 years ago
7 0

Answer:

first equation=6

second equation=15

Third equation=

Step-by-step explanation:

2(3x+2)=2x+28

6x+4=2x+28

collect like terms

6x-2x=28-4

4x=24

Divide both sides by 4

4x/4=24/4

x=6

second equation

5y+13=43-3y

collect like terms

5y-3y=43-13

2y=30

Divide both sides by 2

2y/2=30/2

y=15

Third equation

4(2a+2)=8(2-3a)

8a+8=16-24a

collect like terms

8a+24a=16-8

32a=8

Divide both sides by 32

32a/32=8/32

a=1/4

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Find the perimeter use 3.14
Alex777 [14]
Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle.  Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

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3 years ago
Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle
e-lub [12.9K]
<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68

Thus measure of angle y is 35.68 degrees

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Ivahew [28]

Answer:

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Step-by-step explanation:

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Jake can make 2 airplane models in 3 hours. At this rate, how many models can Jake complete 7 ½ hours?
Charra [1.4K]

Answer:

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Step-by-step explanation:

7.5/3= 2.5

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