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likoan [24]
3 years ago
10

A family on a trip budgets $1,000 for meals and gasoline. If the price of a meal for the family is $50 and if gasoline costs $3.

50 per gallon, then how many meals can the family buy if they buy 100 gallons of gasoline?
Mathematics
1 answer:
galben [10]3 years ago
3 0

Answer:

They can buy 13meals if they buy 100 gallons of gasoline.

Step-by-step explanation:

3.50 PER gallon so 1 gallon is $3.50

if they buy 100 gallons you have to multiply 3.50 by 100 which gives you 350. you subtract 350 from 1000 so 1000-350 and get 650. now, you divide 650 by 50 because each meal is $50. And you get 13 so there you have it.

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Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distanc
RUDIKE [14]

Answer:

Step-by-step explanation:

Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that

1 gallon of gas would be used to drive 392/14 = 28 miles

a) The number of miles traveled varies directly with the number of gallons of gas used.

Let x =number of gallons of gas you use.

Let y = the number of miles travelled.

Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,

y = kx

If 28 miles will require 1 gallon of gas, it means

28 = 1×k

k = 28

So y = 28x

b) we want to determine how far you can drive with 3.7 gallons of gas.

x = 3.7

y = 28x = 28×3.7

y = 103.6 miles

6 0
3 years ago
Perform the indicated operation. 9z^3/16xy . 4x/27z^3
ziro4ka [17]

Answer:

\frac{1}{12y}

Step-by-step explanation:

This is a multiplication problem.

We want to multiply \frac{9z^3}{16xy}\cdot \frac{4x}{27z^3}

We factor to get:

\frac{9z^3}{4\times 4xy}\cdot \frac{4x}{9\times 3z^3}

We now cancel out the common factors to get:

\frac{1}{4\times y}\cdot \frac{1}{1\times 3}

We now multiply the numerators and the denominators separately to get.

This simplifies to \frac{1}{12y}

Therefore the simplified expression is \frac{1}{12y}

8 0
3 years ago
Suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6
VLD [36.1K]

Answer:

x=1

Step-by-step explanation:

A direct variation equation has the following format:

y=kx

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

12=-2k

Divide both sides by -2:

k=-6

So, our direct variation equations is:

y=-6x

To find what x is when y equals -6, substitute in -6 for y:

-6=-6x

Divide both sides by -6:

x=1

So, our answer is 1 :)

4 0
3 years ago
The measure of the hypotenuse is? (side c)
Sliva [168]
Answer: 25
explanation:
7² + 24² = c²
49 + 576 = c²
625 = c²
c = √625
c= 25

or just know some pythagorean triples
4 0
3 years ago
Read 2 more answers
Find the amplitude of y = -4 sin x.
lyudmila [28]
Answer:
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4
6 0
2 years ago
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