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pashok25 [27]
3 years ago
15

Find the value for q for the following equation: 15q – 16 = 4(2q + 3)

Mathematics
2 answers:
Mars2501 [29]3 years ago
4 0
Answer:
Q=4
15q-16=8q+12
7q-16=12
7q=28
Q=4
TEA [102]3 years ago
3 0
Step 1: Multiply 4 by 2q and 3

Now your equation is 15q - 16 = 8q + 12

Step 2: Subtract 8q from both sides

Now your equation is 7q - 16 = 12

Step 3: Add 16 to both sides

Now the equation is 7q = 28

Step 4: Divid each side by 7

Q= 4
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A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solvi
Nikitich [7]

Answer:

Rewrite the first equation as x = 36 – 3y.

Step-by-step explanation:

x + 3y = 36 (1)

4x + 5y = 9 (2)

Using substitution method

From (1)

x = 36 - 3y

Substitute x = 36 - 3y into (2)

4x + 5y = 9

4(36 - 3y) + 5y = 9

144 - 12y + 5y = 9

- 12y + 5y = 9 - 144

-7y = -135

y = -135 / -7

y = 19.3

There is an error with the second equation, 4x + 5y can not be equal to 9

Nevertheless, the first step when solving by substitution is:

Rewrite the first equation as

x = 36 – 3y.

4 0
2 years ago
n employee makes ​$161 per hour but is getting a ​45% increase. What is his new wage per hour to the nearest​ cent?
Nadusha1986 [10]

Answer:

The answer is $234

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • An employee makes $161 per hour.
  • Increase of 45% every hour.
<h3><u>To </u><u>Find</u>;</h3>
  • His new wage

First, find the 45% of $161.

161 × 45 ÷ 100 = $72.5

Now,

$161 + $72.5 = $233.5 = $234

Thus, His new wage will be $234

<u>-TheUnknownScientist 72</u>

4 0
2 years ago
Which gives the line of best fit?
BartSMP [9]

Answer:

B

Step-by-step explanation:

7 0
2 years ago
If you have 1-cup servings of juice to 30 people, how many whole gallons of juice will you need?
Ratling [72]

Answer:

2 gallons

Step-by-step explanation:

there are 16 cups in a gallon. if you have 30 cups for people, do 30/16=1.875 which you cant have 0.875 gallons of juice, so you need to round it to two gallons.

3 0
3 years ago
Read 2 more answers
Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6
love history [14]
<h3> The greatest number is 1.997 \times 10^2</h3>

<em><u>Solution:</u></em>

<em><u>Given that the numbers are:</u></em>

2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}

We have to find the number that is greatest

Convert the numbers to decimal

2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289

1.997 \times 10^2 = 199.7

8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089

5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005

We can clearly see that, 199.7 is greatest number

Thus the greatest number is 1.997 \times 10^2

3 0
3 years ago
Read 2 more answers
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