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Readme [11.4K]
3 years ago
15

Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

116/8 - 87/8 = 29/8 = 3 5/8 gal

Step-by-step explanation:

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Evaluate the expression: 2/5 x 0.6
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I believe the answer would be 6/25 simplified. 12/50 would be the original answer
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Step-by-step explanation:

Let grandson's age be x.

Let grandpa's age be y {equation : y = 8+5x}

so,

x + y = 88

or, x + 8+ 5x = 88 (substituting the value of y)

or, 6x + 8 =88

or, 6x = 88-8

or, 6x = 80

or, x = 80/6

so, x = 13.33

so grandson's age = 13.33

grandpa's age = 8 + 5x = 8 + (5×13.33) = 74.65 yrs

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3 years ago
Factoriza 4x²-y²-6y-9
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4 x^{2} -y^{2} -6y-9 \\ 4 x^{2} = y^{2} +6y+9 \\ 4 x^{2} =(y+3)(y+3) \\  \sqrt{ 4x^{2} } = \sqrt{(y+3)(y+3)} =\\2x=y+3\\2x-3=y

y=2x-3
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3 years ago
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4.07065 in words or written form?
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3 years ago
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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
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