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3 years ago

Please help me with this question

Mathematics

2 answers:

MissTica3 years ago

7 0

y = total cost

x = the number of miles traveled

Rent a Truck: y = 0.20x + 40

[they rent a moving truck for $40(upfront charge) plus $0.20 per mile(x)]

Moving R Us: y = 1x or y = x

[they rent a moving truck for only $1.00 per mile(x) with not upfront charge]

To find when the cost will be the same, set the equations equal to each other:

[Rent a Truck = Moving R Us]

0.20x + 40 = x Subtract 0.20x on both sides

40 = 0.80x Divide 0.80 on both sides

50 = x x = 50 miles

[proof]

Rent a Truck:

y = 0.20x + 40 Plug in 50 for x

y = 0.20(50) + 40

y = 10 + 40

y = 50 $50

Moving R Us

y = x Plug in 50 for x

y = 50 $50

ratelena [41]3 years ago

3 0

Answer:

x = 50 miles

Step-by-step explanation:

Equation One: y = 40 + 0.2x

Equation Two: y = $1x = x

All you need to do is equate the two ys which represent the total cost for each company. Your question is when are they equal? So make them equal, and you will find out.

x = 40 + 0.2x Subtract 0.2x from both sides of the equation.

x - 0.2x = 40 Combine like terms

0.8x = 40 Divide both sides by 0.8

0.8x/0.8 = 40/0.8

x = 50 miles.

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

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By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

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4 years ago

Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many mi

baherus [9]

Mr. drove 3 times more then Mrs.. ok

so how far Mrs. drove will be X
and Mr. will be Y
but we know that Mr. drove 3 times more then Mrs therefor
Y= 3X

and the Sum = 3,200

3,200=X+Y
3,200= X+(3X)
3,200=4X
div both by 4
800=X
now we know how far Mrs drove now to find Mr.
again "Mr. drove 3 times more then Mrs"
800 * 3 = 2,400

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