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Liono4ka [1.6K]
3 years ago
5

Ivanna received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.68 per pound. After buying th

e coffee, she had $66.96 left on
her card. How many pounds of coffee did she buy?
Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

3 pounds

u have to use y=mx+b

90=7.68x+66.96

subtract the 66.96 from the 90

then just divide

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What is the rate of change of the linear relationship modeled in the table?
Lisa [10]
The correct answer is 3/2.

Slope = Rate Of Change 

Slope Formula:        y₂ - y₁          5 - 2         3
                               -------------- = ---------- = -----
                                   x₂ - x₁          3 - 1         2

I hope that this helps you!

Btw, ₁ and ₂ are subscripts, they do not have anything to do with the actual working of the problem. 
7 0
3 years ago
Solve for x in the equation.
labwork [276]

Answer:

The solution is \displaystyle x=1\pm \sqrt{47}. Fourth option

Explanation:

Solve for x:

2x^2+3x-7=x^2+5x+39

Move all the terms from the right to the left side of the equation, a zero in the right side:

2x^2+3x-7-x^2-5x-39=0

Join all like terms:

x^2-2x-46=0

The general form of the quadratic equation is:

ax^2+bx+c=0

Solve the quadratic equation by using the formula:

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}

\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}

\displaystyle x=\frac{2\pm \sqrt{188}}{2}

Since 188=4*47

\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}

Take the square root of 4:

\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}

Divide by 2:

\displaystyle x=1\pm \sqrt{47}

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0
3 years ago
A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?
Mrac [35]

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

4 0
3 years ago
Read 2 more answers
50 POINTS!!!!
amid [387]
The answer is 503.39

Hope this helps
3 0
3 years ago
The diameter is 10ft what is the radius
inessss [21]

Radius- 5

The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.

3 0
3 years ago
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