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kaheart [24]
3 years ago
11

1/2s=4s-21 please show steps

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

s = 6

Step-by-step explanation:

Goal is to isolate the variable (s)

1/2s = 4s - 21

Subtract 4s from both sides - this cancels out the 4s on the right side and moves it to the left side

1/2s - 4s = -21

To add or subtract fractions, they must have a common denominator

Convert 4s to a fraction over 2

1/2s - 8/2s = -21

Subtract the numerators and keep the denominators

-7/2s = -21

Remember the goal is to isolate the variable

In order to get rid of the -7/2, we multiply by its reciprocal (which is -2/7)

What we do to one side, we must do to the other (this means multiply by -2/7 on both sides

-7/2s × -2/7 = -21 × -2/7

s = -21 × -2/7

Negative × negative = positive

s = 42/7

Divide 42 by 7

s = 6

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The equation yˆ=24.387x + 328.182 models Math SAT scores, y, where x is the number of hours spent studying.
Feliz [49]

Answer:

Without any studying, the score would be about 328

Step-by-step explanation:

The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.

The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.

Substitute x = 0 in the given equation and solve for y;

y = 24.387(0) + 328.182

y = 328.182

Therefore, Without any studying, the score would be about 328

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Step-by-step explanation:

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The sum of three consecutive multiples of 7 is 777 find these multiples
Rudik [331]

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

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Temka [501]

Answer:

Step-by-step explanation:

\frac{16x^5y^7z^{-8}}{6x^4yz^{-9}} = \frac{4xy^6z}{3}

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alina1380 [7]

Answer:

69

70.5

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Step-by-step explanation:

Firstly, we need to sort this list of numbers in order to perform calculations on it.

31, 43, 47, 58, 63, 68, 69, 72, 77, 84, 84, 84, 94, 97

To find the mean we must add up and divide by the amount of numbers there are.

31 + 43 + 47 + 58 + 63 + 68 + 69 + 72 + 77 + 84 + 84 + 84 + 94 + 97 = 971\\\frac{971}{14}=69.3571429\approx 69

To find the median we must find the number in the middle of the set.

As there are two numbers in the middle positions, 69 and 72.

We must take the average of these two numbers to determine the middle.

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The most is the most common number, which is 84.

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3 years ago
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