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svp [43]
2 years ago
9

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

Mathematics
2 answers:
kotegsom [21]2 years 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]2 years ago
3 0
12+7n=n-6
12+6n=-6
6n=-18
n=-3
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The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000 . How much will the
Kryger [21]

Answer:

  • Price decrease in dollars = $4,148
  • Price of next model = $29,852

Step-by-step explanation:

The next car will be 12.2% cheaper. This amount in dollars is:

= Percentage decrease * Current model price

= 12.2% * 34,000

= $4,148

The price of the next model will therefore be:

= 34,000 - 4,148

= $29,852

6 0
3 years ago
AB←→||CD←→. Find the measure of ∠BFG.
Colt1911 [192]

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

8 0
3 years ago
a. A 2017 poll found that 56​% of college students were very confident that their major will lead to a good job. If 15 college s
lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%

The probability is 0.01083 or 1.083%.

8 0
3 years ago
E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.
Katen [24]
Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126
6 0
3 years ago
How do u regroup when u find the sum of 64+43
Anarel [89]
What we are going to do is use the DISTRIBUTIVE PROPERTY. This distributive the numbers, to make it easier to solve.

So we will break 64 up.

64 = 60 + 4

43 = 40 + 3

60 + 40 = 100

4 + 3 = 7

100 + 7 = 107

So, 64 + 43 = 107.

Hope I helped ya!!!!!!!

6 0
3 years ago
Read 2 more answers
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