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Paladinen [302]
3 years ago
13

What is the slope of a line parallel to the line with equation 5x + 3y = 7?

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0

Answer:

-5/3

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

\frac{3y}{3} =\frac{-5x+7}{3} \\y=\frac{-5}{3}x+\frac{7}{3}.

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

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Andrew [12]
No she didnt. She needs 12% more of .8 yards.

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3 years ago
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Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.​
julia-pushkina [17]

Answer:

12 dollars

Step-by-step explanation:

Round the bill to the nearest ten dollars

81.66 rounds to 80 dollars

80 * 15%

80 *.15

12

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3 0
3 years ago
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(2x+1)/2=(x+2)/5<br><br>if possible can you show me step by step how to get the answer <br>​
katrin2010 [14]

Answer:

\boxed{\bold{Decimal \ Form: \ x \ = \ -0.125}}

\boxed{\bold{Fraction \ Form:x=-\frac{1}{8}}}

Step By Step Explanation:

Apply Fraction Cross Multiply: If \bold{\frac{a}{b}=\frac{c}{d}:then\ a\cdot \:d=b\cdot \:c}

\bold{\left(2x+1\right)\cdot \:5=2\left(x+2\right)}

\bold{\left(2x+1\right)\cdot \:5: \ 10x+5}

\bold{2\left(x+2\right): \ 2x+4}

\bold{10x+5=2x+4}

Subtract 4 From Both Sides

\bold{10x+5-5=2x+4-5}

Simplify

\bold{10x=2x-1}

Subtract 2x From Both Sides

\bold{10x-2x=2x-1-2x}

Simplify

\bold{8x=-1}

Divide Both Sides By 8

\bold{\frac{8x}{8}=\frac{-1}{8}}

Simplify

\bold{x=-\frac{1}{8}}

Turn Fraction Into Decimal

\bold{-1 \ \div \ 8 \ = \ -0.125}

\bold{-0.125}

Regards,

   Mordancy

8 0
3 years ago
A box of 12 Popsicles costs $4.44 what is the Popsicles unit rate
OLEGan [10]
The unit rate would be $0.37
4 0
3 years ago
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Can someone help? Please and thankyou<br><br> What is the area of the parallelogram shown?
Thepotemich [5.8K]

Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.

4 0
2 years ago
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