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My name is Ann [436]
4 years ago
13

4^x+7 = 8^2x-3 Solve each equation showing work please

Mathematics
1 answer:
RUDIKE [14]4 years ago
3 0

If 4=2^2

8=2^3

(2^)2x+10=(2^)6x

(2^)6x-(2^)2x=10

(2^)2x×7=10, where x has no real value

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Cylinder height of 7 and a radius of 4 cm. How many cubic centimeters of fluid can fill this cylinder
Alex Ar [27]

Answer:

112π = 351.86 cubic centimeters of fluid to fill the cylinder

Step-by-step explanation:

The volume of cylinder = πr²h⇒ r its radius , h its height

V = π(4)²(7) = 112π = 351.86 cm³

4 0
3 years ago
The price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $
Mila [183]

Answer:

  $2.72

Step-by-step explanation:

The increase from last week is the fraction ...

  (new price)/(old price) -1 = (1.82/1.65) -1 = 17/165

so the amount of increase Sally will pay this week is ...

  17/165×$26.40 = $2.72

_____

<em>Comment on the working</em>

We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.

If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.

8 0
3 years ago
Solve for x.<br> (17x - 23)<br> (&amp;r - 4)*<br> -(3x + 17)
Finger [1]

Answer:

17rx2−23rx−71x+75

Step-by-step explanation:

(17x−23)(xr−4)−(3x+17)

=(17x−23)(xr−4)+−1(3x+17)

=(17x−23)(xr−4)+−1(3x)+(−1)(17)

=(17x−23)(xr−4)+−3x+−17

=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17

=17rx2+−68x+−23rx+92+−3x+−17

=17rx2+−68x+−23rx+92+−3x+−17

=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)

=17rx2+−23rx+−71x+75

6 0
3 years ago
a large drink costs 50 cents more than a small drink. write an expression for the total cost of 3 small drinks and 2 large drink
Shkiper50 [21]
Since a small drink is the cheapest, make the cost of a small drink=x. Since a large drink costs 50 cents more than a small drink, let a large drink=x+50. The total of the drinks is the sum of the individuals. Since the cost of a small drink is x, 3 drinks cost 3x. Since the cost of a large drink is x+50, the cost of 2 drinks is 2(x+50). The cost of all of the drinks together is 3x+2(x+50). Distribute the 2. 3x+2x+100. Combine like terms. 5x+100. This will give you your answer in cents. If you need an answer in dollars, you multiply that expression by 0.01.
5 0
3 years ago
Raul is making a scale model of an airplane that had a wingspan of 44 feet. If Raul's scale model is 1/16 the size of the actual
dangina [55]

Answer:

The wingspan of his model is <u>2.75 feet</u>.

Step-by-step explanation:

Given:

Raul is making a scale model of an airplane that had a wingspan of 44 feet.

If Raul's scale model is 1/16 the size of the actual airplane.

Now, to find the wingspan of his model.

Length of the airplane wingspan = 44 feet.

<em>As given, Raul's scale model is 1/16 the size of the actual airplane.</em>

Now, to get the wingspan of his model:

\frac{1}{16} \ of\ 44

=\frac{1}{16}  \times 44\\\\=\frac{44}{16} \\\\=2.75\ feet.

Therefore, the wingspan of his model is 2.75 feet.

6 0
3 years ago
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