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adoni [48]
2 years ago
14

11(x+1)-5x+22=17x-2(x+1) multistep

Mathematics
1 answer:
sattari [20]2 years ago
4 0
11(x + 1) - 5x + 22 = 17x - 2(x + 1)    Given
11x + 11 - 5x + 22 = 17x - 2x - 2        Distribute the 11 and the -2
6x + 33 = 16x - 2                               Combine like terms
-10x + 33 = - 2                                   Subtract 16x from both sides
-10x = -35                                          Subtract 33 from both sides
x = 3.5                                                Divide both sides by -10

The answer:
x = 3.5

Hope this helps.
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2 years ago
Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4
Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}

So the area of 1st rectangle is

A_1 = 12\times \frac{61}{4} = 183 \: in^{2}

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}

10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}

So the area of 2nd rectangle is

A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}

The total construction paper needed for this project is

A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0
3 years ago
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
2 years ago
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