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natima [27]
3 years ago
8

What is the solution to the equation?  5(8 + 7) = 5 • x + 5 • 7   A. x = 1   B. x = 5   C. x = 7   D. x = 8

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
5(8+7)=5\cdot x+5\cdot7\\\\x=8\\\\Answer:D\\\\5\cdot x+5\cdot7=\underline{5}\cdot x+\underline{5}\cdot7=\underline{5}\cdot(x+7)=5\cdot(8+7)\iff x=8
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In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an
ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate = 8\frac{1}{2}\%=8.5\%

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

= \frac {8.5}{100}\times 12.99

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

= \frac {8.5}{100}\times 39.99

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0
3 years ago
In the expansion of
Mumz [18]

By the binomial theorem, the x^2 term in the expansion of \left(1-\frac x4\right)^n is

\dbinom n21^{n-2}\left(-\dfracx4\right)^2=\dfrac{n!}{2!(n-2)!}\dfrac{x^2}{16}

which suggests that the contribution of the binomial coefficient should make up the remaining factor of 21. That is,

\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2=21\implies n=7

5 0
3 years ago
Which statements are true? Mark all that apply.
FrozenT [24]

Answer:

A and D

Step-by-step explanation:

3 0
3 years ago
Which point is part of the solution of the inequality y 2 12x – 11.
Papessa [141]

Answer:

Point (0,0)

Step-by-step explanation:

Given the inequality y > 12x – 11.

We will check which of the given options will be applied for the inequality

A) (1,0)

Substitute with x = 1 and y = 0

0 > 12*1 - 11

0 > 1   ⇒ Wrong

So, Point (1,0) is not part of the solution of the inequality.

B) (3,2)

Substitute with x = 3 and y = 2

2 > 12*3 - 11

0 > 25  ⇒ Wrong

So, Point (3,2) is not part of the solution of the inequality.

C) (1,1)

Substitute with x = 1 and y = 1

1 > 12*1 - 11

1 > 1   ⇒ Wrong

So, Point (1,1) is not part of the solution of the inequality.

D) (0,0)

Substitute with x = 1 and y = 0

0 > 12*0 - 11

0 > -11  ⇒ True

So, Point (0,0) is part of the solution of the inequality.

Also, see the attached figure which represents the given inequality

The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality

5 0
3 years ago
a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there
Alex_Xolod [135]

Answer:

9400

Step-by-step explanation:

I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!

4 0
3 years ago
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