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3 years ago

Find two numbers whose sum is 44 and whose difference is 6. smaller number larger number

Mathematics

1 answer:

Anna [14]3 years ago

3 0

X+ y = 44
x - y = 6
—————
2x = 50

x = 25
y = 44-x = 19

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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:

<u>As given that the width is </u> $\frac{4}{5}$ 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

$x=3$

<u>Now, substituting the value:-</u>

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

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

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tatyana61 [14]

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2 years ago

John is six year older than Bill. If their combined

Finger [1]

Answer:

John is 21 and bill is 15

Step-by-step explanation:

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3 years ago

A 3-pound tub of butter at n dollars per pound costs $3.85. 3n = 3.85 3 - n = 3.85 3 + n = 3.85 3/n = 3.85

Elis [28]

Given:
3-pound tub of butter costs $3.85

3.85/3 = 1.2833 per pound.

3n = 3.85

3(1.2833) = 3.85
3.8499 = 3.85
3.85 = 3.85

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3 years ago

Read 2 more answers

Can you check my work

gregori [183]

I do not see anything wrong with it

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3 years ago