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Dennis_Churaev [7]

3 years ago

12

Stephen purchased a guitar, which was originally priced at $80 but discounted at 25%. He also had to pay 5% sales tax. What amou

nt did Stephen pay to purchase the guitar?

1 answer:

nikdorinn [45]3 years ago

7 0

Discounted by 25% means he paid 75% of the original price:

80 x 0.75 = $60

Now multiply the sale price by 1 + tax rate:

60 x 1.05 = 63

He paid $63 total.

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Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f

daser333 [38]

Answer:

A. $f(x) = 10x + 8$

Step-by-step explanation:

The equation in slope-intercept form, $f(x) = mx + b$ , can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10$

Find b, by substituting x = 1, f(x) = 18, and m = 10 into $f(x) = mx + b$ .

$18 = (10)(1) + b$

$18 = 10 + b$

Subtract 10 from each side

$18 - 10 = b$

$8 = b$

$b = 8$

Substitute m = 10 and b = 8 into $f(x) = mx + b$ .

✅Thus, the linear function that can be used to find Jack's pay would be:

$f(x) = 10x + 8$

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Paul [167]

Answer:

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Which would not be a step in solving 5x + 15 + 2x = 24 + 4x?

Klio2033 [76]

Answer:

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Step-by-step explanation:

We cannot use the distribute property because there are not parentheses to distribute a number through.

5x + 15 + 2x = 24 + 4x

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