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telo118 [61]
3 years ago
8

PLEASE HELP!! Question is in the picture

Mathematics
1 answer:
andrezito [222]3 years ago
6 0

When you multiply a number with an exponent by a number with an exponent, you add the exponents together.

For example:

x^{2} *x^{3} =x^{2+3}=x^5

y^{1} (y^3)=y^{1+3}=y^4

2^2*2^3=2^{2+3}=2^5


When an exponent is negative, you move it to the other side of the fraction to make the exponent positive

For example:

x^{-2}  or  \frac{x^{-2}}{1}=\frac{1}{x^2}

\frac{1}{y^{-3}}=\frac{y^3}{1}  or  y³



So:

4^3*4^{-5}=4^{3+(-5)}=4^{-2}

4^{-2}=\frac{1}{4^2}=\frac{1}{16}=0.0625


a.) correct

b.) correct

c.) incorrect

d.) correct

e.) correct

f.) incorrect

g.) incorrect

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You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.
Romashka-Z-Leto [24]

Answer:

a) T(x)=300x+18x=318x

b) D(x)=318x-(0.1)(318)+10x\\=296.2x

c) Yes.

Step-by-step explanation:

We have that:

Tires=$300\\Tax=0.006\\Discount=0.1\\

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

Total_{Tires}=300x

So, what we pay for taxes is given by:

Taxes=(300x)(0.06)=18x

a) Then, according to the above, we can write down the total cost before the discount as:

T(x)=300x+18x=318x

b) And the total cost after discounts, is then given by:

D(x)=318x-(0.1)(318)+10x\\=296.2x

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

6 0
3 years ago
27 players for 12 spots
labwork [276]

Answer: 27/12=2.25

Pretty simple:)

Step-by-step explanation:

7 0
2 years ago
Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula
jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

5 0
2 years ago
What is the quotient of 8,595 ÷ 24?
Oksi-84 [34.3K]

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

7 0
2 years ago
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Whats the answer to #10. use the blue thing.
zvonat [6]
It is 784 cubic inches so you are right

4 0
3 years ago
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