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1 year ago

14. Twelve more than seven times a number equals the number less six

Mathematics

2 answers:

kotegsom [21]1 year ago

3 0

Answer:

The number is -3.

Step-by-step explanation:

Set up an equation:

Variable n = number

12 + 7n = n - 6

Assuming the question is solve for n, isolate the variable:

Subtract n from both sides:

12 + 6n = -6

Subtract 12 from both sides:

6n = -18

Divide by 6 on both sides:

n = -3

Check your work:

12 + 7(-3) = -3 - 6

12 - 21 = -3 - 6

-9 = -9

Correct

Zina [86]1 year ago

3 0

12+7n=n-6
12+6n=-6
6n=-18
n=-3

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Suppose PR = 54, solve for QR 4x-1 3x-1 P R

Svet_ta [14]

Answer:

$QR = 23$

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

$PQ = 4x - 1$

$QR = 3x - 1$

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

$PQ + QR = PR$

$(4x - 1) + (3x - 1) = 54$ (substitution)

Solve for x

$4x - 1 + 3x - 1 = 54$

Combine like terms

$4x + 3x - 1 - 1 = 54$

$7x - 2 = 54$

Add 2 to both sides

$7x - 2 + 2 = 54 + 2$

$7x = 56$

Divide both sides by 7

$\frac{7x}{7} = \frac{56}{7}$

$x = 8$

$QR = 3x - 1$

Plug in the value of x into the equation

$QR = 3(8) - 1 = 24 - 1$

$QR = 23$

5 0

2 years ago

luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th

aivan3 [116]

ANSWER:

The total cost of the skate board is $74.61.

SOLUTION:

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

$\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}$

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

$\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}$

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0

2 years ago

Eli, Daphne, Celeste, and Thaddeus ran for school president. The graph shows how the students in their school voted.

andrew11 [14]

Eli received the most votes

Step-by-step explanation:

Given percentages are:

Eli: 30%

Daphne: 27%

Celeste: 25%

Thaddeus: 18%

When a circle chart is used, the sum of all percentages is 100.

In case of finding the largest between the portions, the part with the greater percentage has the greater share in the chart.

According to given percentages, Eli has the highest percentage, which means that Eli received the most votes.

Hence,

Eli received the most votes

Keywords: Circle chart, percentages

Learn more about circle chart at:

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

If you simplify 4(3x + 8) - 3 . What will your answer be ?

scoundrel [369]

1.) Distribute 4 to (3x) & (8): $4*3x=12x$ , $4*8=32$
2.) Rewrite the expression: $12x+32-3$
3.) Combine like terms: $32-3=29$
4.) Rewrite the final expression: $12x+29$
Final Answer: $12x+29$
Hope this helps!!

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3 years ago

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timurjin [86]

Answer: ×/2 + 9 =

Step-by-step explanation: when a sentence needs to be visualized it is best to strat from the outside.

So if nine more than blah blah equals 21,

... +9 = 21

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2 years ago