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Oksana_A [137]
3 years ago
8

John bought a pair of basketball shoes for $70. The sales tax on the shoes was $5.60. Which represents the sales tax rate?

Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer:

8%

Step-by-step explanation:

Divide 5.60 by 70 to find what percent of 70 it is:

5.60/70

= 0.08

So, this is 8% of 70

That means the sales tax rate was 8%

lisabon 2012 [21]3 years ago
5 0
8%

$5.60 x 100/ 70 = 8
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8x^2+5=22x Need help learning factoring please put work so I can understand
sp2606 [1]

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

5 0
3 years ago
Pierre's company bought cement for $5.25 per bag . If they sold the cement for $7.35 per bag. What was the markup rate ?
qwelly [4]
2.15$ would be the mark up rate.
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3 years ago
The graph of a sinusoidal function has a minimum point at (0,3)(0,3) and then intersects its midline at (5π,5)
bekas [8.4K]

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

8 0
3 years ago
Jeff was on a bus full of campers. A group of 12 campers got out of the bus while 27 campers stayed inside. How many campers wer
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5 0
3 years ago
What is 15/22 as a repeating decimal?
andrew11 [14]

Answer:

0.6818

Step-by-step explanation:

6 0
3 years ago
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