MATHEMATICS HIGH SCHOOL

What is the solution to the following equation?5(2x − 12) + 21 = 2x + 41

5

8

10

72

Answers

Answer 1

Answer:

Answer:

The answer is 10

Answer 2

Answer:

Answer:

Step-by-step explanation:

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20a + 158 + 6c = 20 (6) +15(4) + 6(8)
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Answers

a=7/2-3/10

Step-by-step explanation:

20a +158+6c= 120+60+48

20a +158+6c=228

20a =228-158-6c

20a =70-6c

a= 7/2 - 3/10

Answer:

120 + 60 + 48 would be the correct answer !

Step-by-step explanation:

Solve 7(z +2) - 3z =44

Answers

7(z +2) - 3z =44
Distribute the 7. Distributive property: a(b+c) = ab + ac

7z + 14 - 3z = 44
Simplify like terms.

4z + 14 = 44
Subtract 14 to both sides

4z = 30
Divide by 4 on both sides.

z = 7.5

distribute 7:
7z+14-3z=44
4z+14=44
4z=30
z=15/2

Figure WXYZ is a rectangle with a semicircle added to its base.What is the perimeter of figure WXYZ? Use 3.14 to approximate pi.

Answers

Figure WXYZ is a rectangle that has a semicircle added to its base. The rectangle has a length of sixteen inches and a width of seven inches. The semicircle has a diameter equal to the length of the rectangle.

Given:
Rectangle: Length = 16 inches ; width = 7 inches
Semicirle added to its base, the length of the rectangle. Only one length.

We need to get the circumference of the semi circle and add the length and 2 widths of the rectangle.

Circumference of a circle = 2πr ⇒ 2 * 3.14 * 8 inches = 50.24
Circumference of a semicircle = 50.24/2 = 25.12 inches
Widths of the rectangle = 2 * 7 inches = 14 inches

Perimeter of the figure = 25.12 in + 14 in + 16 in = 55.12 inches.

1/1There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. If the mass of a sample is 5 grams, its volume is 28 liters. (5, 28) is shown on the graph below

What is the constant of proportionality in this relationship?

In this situation, what is the meaning of the number you found in question 1?(explain in the short answer)
Add at least three more points to the graph above, and label with their coordinates.(Show your work)

Write an equation that shows the relationship between the mass of a sample of helium and its volume. Use m for mass and v for volume.(Please answer in v = form)

Answers

Answer:

$v = (28m)/(5)$

Step-by-step explanation:

The meaning behind the constant of k = 28/5 is that it says that 1 gram of helium takes up 28/5 = 5.6 liters of space, and each time you increase the mass by 1 gram, the space increases by 5.6 also

3 more points:

- V1 = 28/5 * 10 = 56 liters

- v2 = 28/5 * 15 = 84

- V3 = 28/5 * 20 = 112

Please answer question 14

Answers

there are 36 possibilities so
1,1
1,2
1,3
1,4
1,5
1,6
2,1
2,2
2,3
2,4
2,5
2,6
3,1
3,2
3,3
3,4
3,5
3,6
4,1
4,2
4,3
4,4
4,5
4,6
5,1
5,2
5,3
5,4
5,5
5,6
6,1
6,2
6,3
6,4
6,5
6,6

Make a the subject of the formula: v^2=u^2+2as. Please help & show working