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Olin [163]
3 years ago
10

In the problem below, put the steps in order to solve 5(x+1)=2(x-2).

Mathematics
2 answers:
ad-work [718]3 years ago
5 0

Answer:

5(x+1)=2(x-2)

5x+5=2x-4

5x-2x=-5-4

3x=-9

x=-3

Step-by-step explanation:

Pavel [41]3 years ago
3 0
5(x+1)=2(x-2)
5x+5=2x-4
3x+5=-4
3x=-9
x=-3
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Given the median line QR and trapezoid MNOP, what is the value of x? MN=17 QR=x+12 OP=5x-14
kari74 [83]
<u><em>Answer:</em></u>
x = 7
MN (first base) = 17 units
OP (second base) = 21 units
QR (median) = 19 units

<u><em>Explanation:</em></u>
In a trapezium, the length of the median is equal to half the sum of the two bases.

<u>From the given, we have:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 units
QR (median) = x + 12 units

<u>Applying the above rule:</u>
median = 0.5 (first base + second base)
x + 12 = 0.5 (17+5x-14)
2(x+12) = 17+5x-14
2x + 24 = 3 + 5x
24-3 = 5x-2x
21 = 3x
x = \frac{21}{3}
x = 7

<u>Based on the above, the lengths would be:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 = 5(7) - 14 = 21 units
QR (median) = x + 12 = 7 + 12 = 19 units

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Triangle ABC is a right triangle and cos(22.6)=b/13. Slobs for b and round to the nearest whole number
aliina [53]
<u>Answer</u>
12


<u>Explanation</u>
Cosine is the ratio of adjacent to hypotenuse.

So, in this case b is the adjacent and 13 is the hypotenuse.

cos22.6 = b/13
b = 13×cos22.6
    = 13×0.923879532
    =12.010

To the nearest whole number the answer is 12.
5 0
3 years ago
Fifteen more than half a number is 9
denis-greek [22]
Hey there!

"15 more than" will mean that 15 will be added to another term. The other term is "half a number", meaning 0.5x, where x is the number. This equation is equal to 9. The final equation is 0.5x + 15 = 9. 

To solve this, cancel out the terms until you find what x is equal to:

0.5x + 15 = 9 (subtract 15 from both sides)
0.5x = –6 (divide both sides by 0.5)
x = –12 (final answer)

Hope this helped you out! :-)
4 0
4 years ago
Divide 8x2 + x2 +32x+4 by x2 +4.
Len [333]

Answer:

\frac{8 {x}^{3}  +  {x}^{2}  + 32x + 4}{ {x}^{2} + 4 }  = 8x + 1

Step-by-step explanation:

Assuming, we the given polynomial is

8 {x}^{3}  +  {x}^{2}  + 32x + 4

and the divisor is

{x}^{2}  + 4

Then , the polynomial division is shown in the attachment.

This implies that:

\frac{8 {x}^{3}  +  {x}^{2}  + 32x + 4}{ {x}^{2} + 4 }  = 8x + 1

6 0
3 years ago
The first shift of GME Corporation produced 2 1/5 times as many lanterns as the second shift. GME produced 6,240 lanterns in Nov
madreJ [45]

Answer:

First shift produced 4,290 lanterns and second shift produced 1,950 lanterns.

Step-by-step explanation:

Look at the attachment

3 0
3 years ago
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