the price per gallon of gasoline changes off the most drivers pay close attention to the changes find the percent changes in price for each of these cases increased from $4 per gallon to $4.20

Answers

Answer 1

Answer: 4 + 4x = 4.20
.2 = 4x
.2/4 = x
x = 1/20 = .05 = 5%

Answer 2

Answer: since it went up .20 we are looking for the percentage .20 is out of 4. since .20 is 20% out of 1, divide 20 by 4 to find the new percent which is 5%. therefore the gas prices increased 5%, and the new price is 105% of the original price.

y = 64

Step-by-step explanation:

$\bold{METHOD\ 1:}\n\n\sqrt[3]{y}=4\qquad\text{cube of both sides}\n\n(\sqrt[3]{y})^3=4^3\n\ny=64\n\n\bold{METHOD\ 2:}\n\n\text{Use the de}\text{finition of cube root}:\n\n\sqrt[3]{a}=b\iff b^3=a\n\n\sqrt[3]{y}=4\iff 4^3=y\to y=64$

3. The first car of the train, right behind the engine, contains 10 boxes. In each of the followingcars there are twice as many boxes as in the car in front of it.
How many boxes are there in the fifth car?
(A) 100
(B) 120
(C) 140
(D) 160
(E) 180

Answers

Answer:

10×2=20 second car

20×2=40 third car

40×2=80 fourth car

80×2=160 fifth car

Please help me with this question

Answers

the answer is Connie because there are 2 blue and 2 green out of the 6 colors. in a fraction it would be 4/6 but you have to simplify it to 2/3

Kim and Courtney share a 16-ounce of box of cereal. By the end of the week, Kim has eaten 3/8 of the box, and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?

Answers

³/₈

Further explanation

We will solve the problem of subtraction between fractions.

Given:

Kim and Courtney share a 16-ounce of the box of cereal.

By the end of the week:

Kim has eaten ³/₈ of the box, and
Courtney has eaten ¹/₄ of the box of cereal.

Question:

What fraction of the box is left?

The Process:

Kim has eaten ³/₈ of the box of cereal. Let's calculate how many fractions of the box are left after Kim has eaten them.

$\boxed{ \ 1 - (3)/(8) = \ ? \ }$

$\boxed{ \ (8)/(8) - (3)/(8) = (5)/(8) \ }$

Hence, the rest of the box after Kim has eaten ³/₈ of the box is

$\boxed{\boxed{ \ (5)/(8) \ }}$

Furthermore, Courtney has eaten ¹/₄ of the box of cereal. Let's calculate how many fractions of the box are left again after Courtney ate the remaining part since Kim had eaten it before.

$\boxed{ \ (5)/(8) - (1)/(4) = \ ? \ }$

Before we subtract, the denominator must be equated. Prepare ¹/₄ to be ²/₈. The numerator and denominator are multiplied by two.

$\boxed{ \ (5)/(8) - (2)/(8) = (3)/(8) \ }$

Thus, the fraction of the box left after Kim and Courtney have eaten is $\boxed{\boxed{ \ (3)/(8) \ }}.$ $\boxed{ \ The \ Answer \ }$

- - - - - - - - - -

Quick Steps:

$\boxed{ \ 1 - (3)/(8) - (1)/(4) = \ ? \ }$

$\boxed{ \ (8)/(8) - (3)/(8) - (2)/(8) = \boxed{ \ (3)/(8) \ } \ }$

The summary scheme is as follows:

Initial conditions

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} \rightarrow \boxed{ \ one \ part = (8)/(8) \ }$

Kim has eaten ³/₈ of the box: $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ $\rightarrow \boxed{ \ (3)/(8) \ }$

Courtney has eaten ¹/₄ (or ²/₈) of the box: $\boxed{\cdot}\boxed{\cdot}$ $\rightarrow \boxed{ \ (2)/(8) \ }$

Final conditions

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ is subtracted by $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ and is subtracted by $\boxed{\cdot}\boxed{\cdot}$ equal $\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$ as the remaining part $\rightarrow \boxed{\boxed{ \ (3)/(8) \ }}$

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Keywords: Kim and Courtney, share, a 16-ounce of the box of cereal, ³/₈ of the box, ¹/₄, what fraction of the box is left, ³/₈, subtraction, the denominator, the numerator

No. of ounces Kim ate = 3/8 * 16 = 6 ounces
No. of ounces Courtney ate = 1/4 * 16 = 4 ounces
No. of ounces left = Total amt. of cereals - Kim's share - Courtney's share
= 16 - 6 - 4 =6 ounces
Fraction of left over cereal = 6/16 = 3/8

Josie is getting her hair cut andstyled. She wants to give a 20% tip
to her stylist. If the haircut costs
$15.00, how much tip should she give?