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kotykmax [81]
3 years ago
11

Complete the explanation of the procedure that can be used to solve 5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55. Then solve the e

quation. Use the Distributive Property to distribute the 3 and 2 inside the square parentheses on the left side. Next, inside the square parentheses. Then to distribute 5. Combine like terms on the left side and to solve the equation. The solution is x = .
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Answer:

x =  2.

Step-by-step explanation:

5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55

5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55

5[5x + 10] - x - 15 = 14x + 55

25x + 50  - x - 15 = 14x + 55     Now we subtract 14x from both sides:

25x + 50  - x - 15  - 14x = 14x - 14x + 55

10x + 50 - 15 = 55 Now we subtract  50, add 15 to both sides:

10x + 50 - 50 - 15 + 15 = 55 - 50 + 15    

10x =  20

x = 2.

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Andrews [41]

So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.

4 cups of flour / 4 = 1 cup flour

6 cups of sugar / 4 = 6/4 = 3/2 = 1 1/2 cups of sugar per cup of flour is the solution

6 0
3 years ago
Yeah I don’t get this
umka2103 [35]

using pythagorean theorem

a^2 + b^2 = c^2

(12x)^2 + (16x)^2 = 10^2

square each term

144x^2 + 256x^2 = 100

combine like terms

400 x^2 = 100


divide by 400 on each side

x^2 = 1/4

take the square root on each side

x = 1/2


Answer:  x=1/2

8 0
3 years ago
Tracy bought 2 cans of paint and 7 1/3 pints of special paint additive formulated to reduce mildew. Before painting her house, s
podryga [215]

Answer:

3 2/3 pint

Step-by-step explanation:

First break down the mixed number to divide (into 7 and 1/3)

7 divided by 2 is 3.5 (Convert 3.5 to sixths)

1/3 divided by two is 1/6

1/6 + 3 3/6= 3 4/6 OR 3 2/3

Hope this helps! :)

5 0
3 years ago
a 65 cm board is cut into two pieces. one piece is 9 cm shorter than the other. the shorter board is 37 cm
iren2701 [21]

Answer:

False

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
umka2103 [35]
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region. 

6 0
3 years ago
Read 2 more answers
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