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laiz [17]
4 years ago
6

815 gallons of gas cost $32. How many gallons of gas can Mike buy for $20?

Mathematics
2 answers:
jenyasd209 [6]4 years ago
5 0

Answer:

509 gallons as 815 gallons divided by 32 = 25.468 and we multiply by 20 to get 509.375 where we round down at 509 to find full gallon, anything less (via decimal) is not a full gallon.

Step-by-step explanation:

olchik [2.2K]4 years ago
5 0

Answer:

39.15 or 39 gallons

Step-by-step explanation:

1. create an equation

815= 32+20x

2. get x by itself

783=20x

3. divide 20 to both sides of the equal sign

39.15=x

4. So Mike can buy 39.15 or 39 gallons of gas for 20$

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valkas [14]

Answer:

1. x = 11.5

2. x = 14.35

Step-by-step explanation:

1. \: sin(angleBAC) =  \frac{BC}{AB}

sin(35°) =  \frac{x}{20}

x = 11.472 ≈ 11.5

2. \: tan(angleBAC) =  \frac{BC}{AB}

tan(64°) =  \frac{x}{7}

x = 14.352 ≈ 14.35

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5 0
2 years ago
Please help me out with this
Naily [24]

Answer:

y = -3x - 2

Step-by-step explanation:

Equation of a line passing through (x_1,y_1) and slope m is,

y-y_1=m(x-x_1)

Slope of a line passing through (x_1,y_1) and (x_2,y_2) is,

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

Slope of the line passing through (0, -2) and (1, -5) will be,

Slope = \frac{-2+5}{0-1}

m = - 3

Therefore, equation of the line passing through (0, -2) and slope = -3 will be,

y + 2 = -3(x - 0)

y + 2 = -3x

y = -3x - 2

8 0
3 years ago
suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3/4,9/10). the same segment on the actual
dlinn [17]

Let the segment be represented by AB where A(0,0) = A(x_{1}, y_{1}) and B(3/4,9/10) = B(x_{2}, y_{2}).

The length of the segment drawn by architect can be calculated using distance formula:

AB =\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}

AB=\sqrt{(3/4-0)^{2}+(9/10-0)^{2}

AB=\sqrt{9/16+81/100} \\

AB = (6\sqrt{61})/40

Similarly, Let the actual end points of segment be AC where A(0,0) = A(x_{1}, y_{1}) and C(30,36) = C(x_{2}, y_{2}).

The length of the original segment can be calculated using distance formula:

AC =\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}

AC=\sqrt{(30-0)^{2}+(36-0)^{2}

AC=\sqrt{900+1296} \\

AC = (6\sqrt{61}).

Thus, the actual length is 40 times the length of the segment drawn by the architect.

Thus, the proportion of the model is 1:40

4 0
3 years ago
Read 2 more answers
In 2 years, I will be twice as old as I was 5 years ago. My little brother is 3 years younger than I am. Our baby sister is 2 ye
beks73 [17]

Answer:

Step-by-step explanation:

let my present age=x

then 2(x-5)=x+2

2x-10=x+2

2x-x=2+10

x=12

my age=12 years

age of brother =12-3=9 years

age of sister= 9-2=7 years.

7 0
3 years ago
A coordinate plane with a line passing through (0, negative 5) and (3, 0).
Gnom [1K]

Answer:

The answer is D; 5x - 3y = 15

Step-by-step explanation:

4 0
3 years ago
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