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The gas used by truck is 36.66 mpg.

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).

When the truck is full, the amount of gasoline is shown as,

[tex]m_{f}[/tex] = d/8

given distance is 160 miles

[tex]m_{f}[/tex] = 160/8  = 20 mpg

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

[tex]m_{e}[/tex] = d/(8 + 1.6)

[tex]m_{e}[/tex]  = d/9.6

[tex]m_{e}[/tex] = 160/9.6

[tex]m_{e}[/tex]  = 16.66 mpg

total gasoline  required = [tex]m_{e}[/tex] +  [tex]m_{f}[/tex]  = 20 + 16.66 = 36.66 mpg

Hence the total  gas used is 36.66 mpg.

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Answer:

no its not

Step-by-step explanation:

Answer:  0.6 in 10 % ; 0.4 in 15 %

Step-by-step explanation:

1. (x*10%) + (y*15%)/ x+y=12%

2. x+y = 1  x= 1-y

(0.1x + 0.15y/ x+y= 12/100) * 100

(10x + 15y/x+y = 12)*(x+y)

10x+15y= 12x + 12y

-2x=-3y

2x = 3y   2(1 - y)= 3y

2-2y=3y   2= 5y

y= 0.4

x= 0.6

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

Answer:

tried with great effort against difficulties

Step-by-step explanation:

I got it right.

The definition that gives the correct connotation of the word strove will be tried with great effort against difficulties.

The meaning of the word strive is to make a concerted effort to achieve something or make something happen, especially over a long period of time or in the face of adversity.

Strove is the word used for past incidents. Strive is the present form of the word strove.

The definition that gives the correct annotation of the word strove will be tried with great effort against difficulties.

Hence option C is correct.

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Answer:

608

Step-by-step explanation:

The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference.  Here, d = +7.  Thus:

a(92) = -29 + (92-1)(7) = 608

Answer:

0.25641

Step-by-step explanation:

[tex]\frac{15}{58.5} = 0.25641[/tex]

Answer:

its actually 3.9

Step-by-step explanation:

how i know is i put 0.26 didnt work it was a wrong answer

Answer:

81 times

Step-by-step explanation:

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer:

x = [tex]\frac{1}{2}[/tex],  -  [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  

Answer:

5.988

Step-by-step explanation:

_9.687

3.699

=5.988

Step-by-step explanation:

-d=0.8-1.5

-d=-0.7

d=0.7

Answer:

d=0.7

Step-by-step explanation:

1.5=d+0.8

d=1.5-0.8

d=0.7

Answer:

f

Step-by-step explanation:

fsdsdsdwdd

Answer:

See below.

Step-by-step explanation:

[tex] y_2 = 4x^2 [/tex]

[tex] x = 1 [/tex]

[tex] y_2 = 4(1)^2 = 4 = a [/tex]

a = 4

[tex] y_3 = 4^x [/tex]

[tex] x = 1 [/tex]

[tex] y_3 = 4^1 = 4 = b [/tex]

b = 4

[tex] y_1 = 4x [/tex]

[tex] x = 2 [/tex]

[tex] y_1 = 4(2) = 8 = c [/tex]

c = 8

[tex] y_3 = 4^x [/tex]

[tex] x = 2 [/tex]

[tex] y_3 = 4^2 = 16 = d [/tex]

d = 16

[tex] y_1 = 4x [/tex]

[tex] x = 3 [/tex]

[tex] y_1 = 4(3) = 12 = e [/tex]

e = 12

[tex] y_2 = 4x^2 [/tex]

[tex] x = 3 [/tex]

[tex] y_2 = 4(3)^2 = 36 = f [/tex]

f = 36

[tex] y_3 = 4^x [/tex]

[tex] x = 3 [/tex]

[tex] y_3 = 4^3 = 64 = g [/tex]

g = 64

Answer:

-9

-11

-4

Step-by-step explanation:

Answer: D.) 2

Step-by-step explanation:

In a rhombus, all sides are congruent; they have the same lengths (like a square). This means that if this parallelogram was a rhombus, 14 - x and 2x + 8 will have to be equal.

14 - x = 2x + 8

Subtract 2x from both sides

14 - 3x = 8

Subtract 14 from both sides

-3x = -6

Divide both sides by -3

x = 2

Answer:

$12 per pair of glass.

$6 per glass.

Step-by-step explanation:

48/8 = 6

A pair is 2, so I multiplied 6 by 2.

6 x 2 = 12

So, Taryn paired $12 per glass.

--

ANSWER: $12 per pair

EXPLANATION: $48 divided by 8 pairs of glasses equals $6 per glasses. So then you multiply 6 by 2 to get the amount per pair.

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Answer:

The are is 136 cm.

Step-by-step explanation:

12 * 8 = 96cm

8 * 4 = 32cm

96 + 32 = 128cm

8 - 4 = 4 / 2 = 2

4 * 2 = 8

128 + 8 = 136cm

plz mark as brainliest if correct!

Answer:

Step-by-step explanation:

12-4=8

area=8×8+(8+4)/2 ×4

=64+6×4

=64+24

=88 cm²

Answer:

35x-35y+21

Step-by-step explanation:

You would have to combine the like terms together to get 35x-35y+21.

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

In this question we must simplify an algebraic expression by applying the following list of properties:

Now we proceed to simplify the expression given in the statement:

0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12)     Given

10 · x - 25 · y + 18 + 25 · x - 10 · y + 3     Distributive and associative properties/Definition of multiplication

35 · x - 35 · y + 21     Result

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

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Answer:

no , 1 , 3 and 4 are expressions as they don't have an equal sign .

Answer:

6 inches

Step-by-step explanation:

(8-5)>x>(5+8)

Answer:

1/4

Step-by-step explanation:

=2^4×2^-6

=2^-2

=1/4

Answer:

you add the exponents so youd do 4+6 which is 10. and then 2 to the power of 10 is 1024

Answer:

Step-by-step explanation:

Answer:

12 is the area

Step-by-step explanation:

Area is multiplication

2 width

6 length

2 times 6

Answer:

x=2

Step-by-step explanation:

youd distribute the 5 first so the equation is now

37=-3+5x+30

then group the common terms (-3 and 30 in this case)

37=5x+27

now subtract 27 from both sides to start to isolate 5x

10=5x

divide by 5 to find x

2=x

hope i helped :)

Answer:

60

Step-by-step explanation:

50%=.50

160×.50=80

160+80=240

25%=.25

240×.25=60

60 is the final number