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alexgriva [62]
3 years ago
14

Trey drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

Answer:

10 gallons of gas.

Step-by-step explanation:

250/9 = how many miles 1 gallon of gas will take

250/9 = 27.78

1 gallon of gas = 27.78 miles

275/27.78 = 9.90 gallons

9.90 gallons round up to 10 gallons

Therefore, Trey would need 10 gallons of gas to drive 275 miles.

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Step-by-step explanation:

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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
3 years ago
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns
arlik [135]

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

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Positive slope implies increase

6 0
3 years ago
Read 2 more answers
the volume of a cylindrical tank is 936cubic meter. if its height is 6 meter determine the base area of the tank​
vladimir2022 [97]

Answer:

156 square m

Step-by-step explanation:

volume \: of \: cylindrical \: tank \\  = area \: of \: base \times height \\  \\ 936 = area \: of \: base \times \: 6 \\  \\ area \: of \: base  =  \frac{936}{6}  \\  \\ area \: of \: base  = 156 \:  {m}^{2}

6 0
3 years ago
Emma uses turquoise beads to make bracelets to sell at an event. The total amount Emma earns, y, is proportional to the number
NNADVOKAT [17]
<h3>The equation represents the total amount Emma earns at the  event is y = 10x</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The total amount Emma earns, y, is proportional to the number  of bracelets, x, she sells</u></em>

y \propto x\\\\y = kx -------- eqn\ 1

Where,

y is the total amount Emma earns

x is the number of bracelets

k is the cost of each bracelet

<em><u>Emma earns $10 for each sold bracelet</u></em>

Therefore, k = 10

Thus, eqn 1 becomes,

<h3>y = 10x</h3>

Thus the equation represents the total amount Emma earns at the  event is found

3 0
3 years ago
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