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bija089 [108]
3 years ago
11

Twice a certain number minus 7 is equal to 5. What is the number.

Mathematics
2 answers:
Mandarinka [93]3 years ago
8 0

Answer:

6

Step-by-step explanation:

2x-7=5

2x=12

x=6

x=the varible that represents the number

zepelin [54]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Let the number be x.

2x - 7 = 5

Add 7 to both sides.

2x = 5 + 7

2x = 12

Divide 2 into both sides.

x = 12/2

x = 6

The number is 6.

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alina1380 [7]

Answer:

D

Step-by-step explanation:

72+21-11=82

82-67=15

3 0
2 years ago
Read 2 more answers
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
NemiM [27]

Answer:

The minimum average cost is $643.75

It should be built 62.5 machines to achieve the minimum average cost

Step-by-step explanation:

The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800

To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost

∵ C = 0.04x² - 5x + 800

- Differentiate C with respect to x

∴ \frac{dC}{dx}=0.04(2)x^{2-1}-5(1)x^{1-1}+0

∴ \frac{dC}{dx}=0.08x-5

- Equate \frac{dC}{dx} by 0

∴ 0.08x - 5 = 0

- Add 5 to both sides

∴ 0.08x = 5

- Divide both sides by 0.08

∴ x = 62.5

That means the minimum average cost is at x = 62.5

Substitute the value of x in C to find the minimum average cost

∵ C = 0.04(62.5)² - 5(62.5) + 800

∴ C = 643.75

∵ C is the average cost

∴ The minimum average cost is $643.75

∵ x is the number of the machines

∴ It should be built 62.5 machines to achieve the minimum

   average cost

4 0
3 years ago
Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has
zlopas [31]

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

7 0
3 years ago
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the ni
Alex Ar [27]

Step-by-step explanation:

Applicants can be filled by equal numbers thus 5 applicants can cover per shift

5 0
3 years ago
Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
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