All categories

4 years ago

Plz look at pic !!!! Plz Help!!! Use proportion to solve

Mathematics

1 answer:

soldi70 [24.7K]4 years ago

6 0

Answer:

It takes 26 2/3 gallons to make a 400 mile trip.

Step-by-step explanation:

This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.

"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.

If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.

Now we can set up the proportion: $\frac{270}{18} =\frac{400}{g}$

Cross multiply and solve accordingly.

$\frac{270}{18} =\frac{400}{g}$

400 $270g = 400 *18\\ 270g = 7200\\g=26\frac{2}{3}$ /g

So the answer is:

It takes 26 2/3 gallons to make a 400 mile trip.

You might be interested in

What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

LUCKY_DIMON [66]

Answer:

The graph of $y=cos(x)$ is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor $\frac{1}{10}$ .

*Moves horizontally $\pi$ units to the rigth

The transformation is:

$y=3f(10(x-\pi))$

Step-by-step explanation:

If the function $y=cf(h(x+b))$ represents the transformations made to the graph of $y= f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor c.

If $|c| > 1$ then the graph is stretched vertically by a factor c

If $c$ then the graph is reflected on the x axis.

If $b> 0$ The graph moves horizontally b units to the left

If $b$ The graph moves horizontally b units to the rigth

If $0$ the graph is stretched horizontally by a factor $\frac{1}{h}$

If $h> 1$ the graph is compressed horizontally by a factor $\frac{1}{h}$

In this problem we have the function $y=3cos(10(x-pi))$ and our parent function is $y = cos(x)$

The transformation is:

$y=3f(10(x-\pi))$

Then $c =3>1$ and $b =-\pi < 0$ and $h=10 > 1$

Therefore the graph of $y=cos(x)$ is:

Stretched vertically by a factor of 3.

Also as $h=10$ the graph is compressed horizontally by a factor $\frac{1}{10}$ .

Also, as $b =-\pi < 0$ The graph moves horizontally $\pi$ units to the rigth

6 0

3 years ago

Marcus spends $58 at the bookstore. He spends the same amount of money on each of the 4 books he purchase. He also paid $4 in sa

Karo-lina-s [1.5K]

Answer:

b=58/4+4 B=18.50

3 0

3 years ago

Sadie is 3 years older than Kareem, and Kareem is twice as old as Nadra. The sum of their ages is 33.

Dima020 [189]

Answer:

Step 1-Write an equation, letting x represent Kareem’s age:

(x + 3) + x + 2 x = 33

Step 2-Solve the equation:

(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.

Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.

Which corrects the student’s first error?

1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.

2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.

3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.

4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.

5 0

2 years ago

How do you convert $150,000 US dollars to $240,000 Australian dollars (1.31545 AU) using the exchange rate per US dollar?

grandymaker [24]

Answer:

240,000 AUD to USD = 161,924.79 US Dollars or 150,000 USD to AUD = 222,316.63 Australian Dollars

Step-by-step explanation:

5 0

4 years ago

The unit rate of change of y with respect to x is the amount y changes for a change of one unit in x. Is the unit rate of change

Nataly [62]

Answer:

Option (a). The equation

Step-by-step explanation:

Rate of change of any equation or graph is represented by its slope 'm'.

In an equation y = mx + b

'm' represents the slope.

Given equation is,

y = 0.25x

Slope of the line m₁ = 0.25

From the graph attached,

A line passes through two points (0, 0) and (5, 1)

Slope of the line = $\frac{y_2-y_1}{x_2-x_1}$

m₂ = $\frac{1-0}{5-0}$

m₂ = 0.2

m₁ > m₂

Therefore, unit rate of change in y is greater in the given equation.

Option (a) will be the answer.

6 0

3 years ago

Read 2 more answers