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wolverine [178]
3 years ago
10

a three and a half gallon gas can contains nine tenths of a gallon how much more gas can be poured in

Mathematics
1 answer:
vovangra [49]3 years ago
6 0
The answer in simplest form would be 2 and 3 fifths gallons of gas.
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Y-8= - * - 4<br> y=-*<br> 4<br> (3,-5)<br> no solution<br> an infinite number of solutions
muminat

Given:

The system of equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4+8

y=-\dfrac{1}{3}x+4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is 4.

The second equation is

y=-\dfrac{1}{3}x-4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

3 0
3 years ago
Rewrite the expression with rational exponents as a radical expression.
Jlenok [28]

Answer:

(cube√7x)^2

see above

(√7x)^3

(7√x)^3

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3 years ago
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Burka [1]

Answer:

x = 2

Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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I need this solved please
ss7ja [257]

Answer:

x = 23

y = 128

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

98 = 2x + 3x - 17

115 = 5x

x = 23

Angles 3x - 17 and y form a linear pair, so they are supplementary.

3x - 17 + y = 180

3(23) - 17 + y = 180

69 - 17 + y = 180

52 + y = 180

y = 128

7 0
2 years ago
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