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andre [41]
3 years ago
5

Factor 54-12 with GCF

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
Factor of 12 and 56 is 6 .
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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.

7 0
3 years ago
Find the value of x........................
Ann [662]

Answers: x = 4 and y = 3

============================================================

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

3 0
3 years ago
14x+2y=-10<br> solve equations for y
Ne4ueva [31]

Answer:

y = -7x - 5

Step-by-step explanation:

14x + 2y = -10

2y = -14x - 10

2y/2 = -14x/2 - 10/2

y = -7x - 5

Hope this helps -w-

3 0
3 years ago
Read 2 more answers
Please help me. I have no idea what to do!!
boyakko [2]

Answer:

It's the first option.

Step-by-step explanation:

It is turned down so the one half is negative (-1/2)

parabola will be in the form of a(x-h)^2 + k. (-h, k) is your vertex, in this case that is (15,25). so in the equation, you will have

-1/2(x-15)^2 + 25. first one.

Hope this helps!

7 0
3 years ago
Question 25 the sum of three numbers is 79 . the second number is 9 less than the first. the third number is 2 times the first.
g100num [7]
I believe the numbers are 22, 13, and 44.
4 0
3 years ago
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