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mafiozo [28]
3 years ago
6

A 13.5-gasoline tank is 4 / 5 full how many gallons will it take to fill the tank

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0
2.7 gallons to fill the tank
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Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet
zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

At=19.25ft^{2} ------> equation 1

At=(3+2x)*(5+2x)\\ At=3*5+3*2x+5*2x+2x*2x\\ At=15+6x+10x+4x^{2} \\ At=4x^{2} +16x+15--------> equation 2

equate equation 1 and equation 2

19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0

therefore

the answer is the option

C. 4x2 + 16x - 4.25 = 0

5 0
3 years ago
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Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
DedPeter [7]
80% of the problems correct.
3 0
3 years ago
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4th term of an arithmetic sequence is 23 and its 11th term is 65, what is its common difference​
Rudik [331]

Answer:

d = 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 23 and a₁₁ = 65 , then

a₁ + 3d = 23 → (1)

a₁ + 10d = 65 → (2)

Subtract (1) from (2) term by term to eliminate a₁

10d - 3d = 65 - 23

7d = 42 ( divide both sides by 7 )

d = 6

5 0
3 years ago
What is the solution to the system of equations represented by the two equations?
vesna_86 [32]
x = 3 ; y = 1

Given:
y = -2x + 7
y = 1/3x

Substitute y by its value to find x.
y = y
1/3 x = -2x + 7
x = (-2x + 7) ÷ 1/3

x = (-2x + 7) * 3/1
x = -6x + 21
x + 6x = 21
7x = 21
7x/7 = 21/7
x = 3

Substitute x by its value to solve for y.
y = -2x + 7
y = -2(3) + 7
y = -6 + 7
y = 1

y = 1/3 x
y = 1/3 * 3
y = (1*3)/3
y = 3/3
y = 1
7 0
4 years ago
Algebraic expression for 5 minus the product of y and 3
viva [34]

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

4 0
3 years ago
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