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Reil [10]
3 years ago
12

Solve: 9^(2x + 1) = 9^(3x – 2)

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer:

<h3>              x = 3</h3>

Step-by-step explanation:

The same bases (9) needs the same exponents to be equal:

\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3

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Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s
noname [10]

Answer:

14 Striped and 10 Flowered

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

15(24 - h) + 13h = 340

360 - 15h + 13h = 340

2h = 20

h = 10

g = 24 - h

g = 24 - 10

= 14

4 0
3 years ago
What is -32÷-(8)-8r+10(r-6)
timurjin [86]

Answer:

The answer should be 2r - 56


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Step-by-step explanation:


7 0
3 years ago
This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane. xxx y
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Answer:

(-32, 0)

Step-by-step explanation:

3 0
2 years ago
A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. el
mamaluj [8]

Answer:

Elena incorrectly used the slant height instead of the height.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they
Lunna [17]

Answer:

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Step-by-step explanation:

x = rate of mechanic who worked 5 hours

y = rate of mechanic who worked 15 hours

Then

x + y = 235

5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

5 0
2 years ago
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