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Svetlanka [38]
2 years ago
7

Mel's father asked Mel to mow his lawn while he was on vacation. Mel bought 1.6 gallons of gas for the lawn mower. The gas cost

$2.85 per gallon. How much money did Mel pay for the gas?
Mathematics
2 answers:
MAVERICK [17]2 years ago
5 0
1.78istheanswer.<span>Mel's father asked Mel to mow his lawn while he was on vacation. Mel bought 1.6 gallons of gas for the lawn mower. The gas cost $2.85 per gallon. How much</span>
Llana [10]2 years ago
4 0
If each gallon is $2.85, you multiply $2.85 by however many gallons you buy. so, 1.6 x $2.85 = $4.56.
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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}

EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0
3 years ago
Read 2 more answers
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B)  Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

A = P ( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

A = P ( 1 + r/n)^nt

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0
2 years ago
A bike rental company charges a four dollar rental fee +2 dollars per hour. Selena paid 12 dollars to rent a bike. How long did
elena55 [62]
The base fee is 4 dollars, and the thing the at changes is x or the hours so the equation is 4 + 2x equals 12. and to solve for x we have to first subtract both sides by 4, getting 2x equals 8 then we divide both sides by 2 to get x equals 4 or 4 hours
5 0
3 years ago
Read 2 more answers
Carol's book collection contains 12 mysteries, 8 biographies, and 5 plays.
Ne4ueva [31]

Answer:

8:25

Step-by-step explanation:

Theres 8 biography books and 25 books in total. 8:25

:D

5 0
3 years ago
I really wish I knew
Yanka [14]
-27 x -2 = 54
The answer would be the square root of 54
3 0
3 years ago
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