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2 years ago

Write an equation that is parallel to the line y = 3/2x - 7 and goes through the point (10, -5)

Mathematics

1 answer:

Jlenok [28]2 years ago

5 0

Y=3/2x+b
-5=3/2*10+b
-5=15+b
B=-5-15=-20
Y=3/2x-20

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What is the quotient

tester [92]

Answer:

The quotient is 4x+5 and the remainder is -13

Step-by-step explanation:

Using synthetic division

-5 4 25 12

Bringing down the 4 and multiplying

-5 4 25 12

↓ -20 -25

----------------------

4 5 -13

The quotient is 4x+5 and the remainder is -13

3 0

2 years ago

Read 2 more answers

Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

As given that the width is $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

Now, substituting the value:-

The length = $6x-3$ cm

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Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

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klasskru [66]

I got 6.5 inches per month I hope this helps

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2 years ago

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

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To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

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Therefore, the artist can make 144 pyramids.

Thank you.

6 0

3 years ago

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Solve 3 (b – 4) = 2 (-26+1) please show your work.

ozzi

Answer:

Step-by-step explanation:

3(b-4)=2 b=0.6667

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-54 is the answer

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3 years ago