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mixas84 [53]
2 years ago
15

1. What number, when substituted for x in the following problem, will make the problem true?

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
8 0

Answer:

x = 17.82

Step-by-step explanation:

6x + 8% = 107    

      -8%    -8%

or

107 - 0.08 = 106.92

-----------------------------------

6x = 106.92

÷6      ÷6

x = 17.82

------------------------------------

I hope this helps!

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24 x 12 1/2 x 12 3/4 what is the volume of the fish tank
hjlf

Answer:

The volume is 3825 cubic units

Step-by-step explanation:

To find the volume of the fish tank multiply out the dimensions.

We were given the dimensions as:

24 \times 12 \frac{1}{2}  \times 12 \frac{3}{4}

Change the numbers to improper fractions

24 \times  \frac{25}{2}  \times \frac{51}{4}

We cancel out to get

3 \times 25 \times 51

3825

5 0
3 years ago
Answer part A, B, and C. (28 points)
mart [117]

A)

Two sides are 8 x 2 = 16 x 2 = 32 sq. in.

Two sides are 11 x 2 = 22 x 2 = 44 sq. in.

Top is 8 x 11 = 88 sq. in.

Total surface area: 32 + 44 + 88 =  164 square inches.

B) Area of a circle = PI x r^2

Area = 63.585

63.585 = PI x r^2

Using 3.14 for PI:

63.585 = 3.14 x r^2

Divide both sides by 3.14:

r^2 = 63.585 / 3.14

r^2 = 20.25

r = √20.25

radius = 4.5 inches.

C)

Diameter = radius x 2

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3 0
3 years ago
Which ratio forms a proportion with 18/27 ?HELPPPPPP
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Read 2 more answers
The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
How do I find side b?
stiv31 [10]

Answer:

u use cosine

and then some proportion

i am 60% sure

dont trust me

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