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Andreyy89
4 years ago
11

Given the equation 3x + 25 = 7x - 5, which order of operations completely solves for x? ​

Mathematics
1 answer:
Minchanka [31]4 years ago
4 0

Answer:

3x +25-25 = 7x -5 -25

3x = 7x -30

3x +7x = 7x +7x -30

10x = 30

10x/10 = 30/10

x = 3

Step-by-step explanation:

BRAINILIEST PLEASEEEEEE

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Factor by completing the square 5x^2-21=10x
velikii [3]
Solve for x over the real numbers:
5 x^2 - 21 = 10 x

Subtract 10 x from both sides:
5 x^2 - 10 x - 21 = 0

Divide both sides by 5:
x^2 - 2 x - 21/5 = 0

Add 21/5 to both sides:
x^2 - 2 x = 21/5

Add 1 to both sides:
x^2 - 2 x + 1 = 26/5

Write the left hand side as a square:
(x - 1)^2 = 26/5

Take the square root of both sides:
x - 1 = sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
x = 1 + sqrt(26/5) or x - 1 = -sqrt(26/5)

Add 1 to both sides:
Answer:  x = 1 + sqrt(26/5) or x = 1 - sqrt(26/5)
4 0
3 years ago
Using 3.14 for it, what is the volume, to the nearest cubic centimeter, of a ball with a diameter of 7 centimeters
Ipatiy [6.2K]

Answer:

180 cm^3

Step-by-step explanation:

The ball is a sphere.

Volume of a sphere = \frac{4 \pi r^{3}  }{3}

where pi = 3.14 and r = 3.5 cm, (which is half the diameter)

Substituting them in, gives us the answer.

5 0
4 years ago
Mason's favorite brand of peanut butter is available in two sizes. Each size and its price are shown in the table. Use the table
lana [24]
1. What is the unit rate for each size of peanut butter?Regular: $16 per ounceFamily size: $40 per ounce
2. Which size is the better buy?The family size is the better buy.
4 0
3 years ago
Read 2 more answers
FastForward has net income of $19,090 and assets at the beginning of the year of $209,000. Its assets at the end of the year tot
SVETLANKA909090 [29]

Given:

Net income = $19,090

Assets at the beginning of the year = $209,000.

Assets at the end of the year total = $264,000.

To find:

The return on assets.

Solution:

Formula used:

\text{Return of assets}=\dfrac{\text{Net income}}{\text{Average of assets at the beginning and at the end}}

Using the above formula, we get

\text{Return of assets}=\dfrac{19090}{\dfrac{20900+264000}{2}}

\text{Return of assets}=\dfrac{19090}{\dfrac{473000}{2}}

\text{Return of assets}=\dfrac{19090}{236500}

\text{Return of assets}\approx 0.0807

The percentage form of 0.0807 is 8.07%.

Therefore, the return on assets is 8.07%.

6 0
3 years ago
Capital Value An investment produces a perpetual stream of income with a flow rate of
Elodia [21]

Answer:

$30,000

Step-by-step explanation:

The capital value is given by

\int_{0}^{\infty} R(t) e^{-r t} dt

where R(t) is annual rate

r - annual rate of interest

capital value = \int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt

                      = lim at b tend to infinity\int_{0}^{b} 1200 e^{0.03t} dt

                      =lim at b tend to infinity \left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b

-30,000 { lim at b tend to inifinity(e^{-0.04 b) = e^0]

Asb\rightarrow \infty,  e^{-0.04 b} \rightarrow 0

\int_{0}^{\infty} 1200 e^{0.03t} e^{-0.07 t} dt = -30,000(0 -1) =$30,000

6 0
4 years ago
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