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Ksju [112]
3 years ago
12

Solve for Y!!!!!!!12x+16y=96​

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

12x + 16y = 96

Subtract 12x from both sides

16y = 96 - 12x

Divide each side by 16

y = 6 - 0.75x

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3 years ago
Question regarding logarithms.
Eddi Din [679]

5^{x-2}-7^{x-3}=7^{x-5}+11\cdot5^{x-4}\\\\5^{x-2}-7^{x-2-1}=7^{x-2-3}+11\cdot5^{x-2-2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\5^{x-2}-\dfrac{7^{x-2}}{7^1}=\dfrac{7^{x-2}}{7^3}+11\cdot\dfrac{5^{x-2}}{5^2}\\\\5^{x-2}-\dfrac{1}{7}\cdot7^{x-2}=\dfrac{1}{343}\cdot7^{x-2}+\dfrac{11}{25}\cdot5^{x-2}\\\\-\dfrac{1}{7}\cdot7^{x-2}-\dfrac{1}{343}\cdot7^{x-2}=\dfrac{11}{25}\cdot5^{x-2}-5^{x-2}\\\\\left(-\dfrac{1}{7}-\dfrac{1}{343}\right)\cdot7^{x-2}=\left(\dfrac{11}{25}-1\right)\cdot5^{x-2}

\left(-\dfrac{49}{343}-\dfrac{1}{343}\right)\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\\\\-\dfrac{50}{343}\cdot7^{x-2}=-\dfrac{14}{25}\cdot5^{x-2}\qquad\text{multiply both sides by}\ \left(-\dfrac{25}{14}\right)\\\\\dfrac{50\cdot25}{343\cdot14}\cdot7^{x-2}=5^{x-2}\qquad\text{divide both sides by}\ 7^{x-2}\\\\\dfrac{25\cdot25}{343\cdot7}=\dfrac{5^{x-2}}{7^{x-2}}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}

\dfrac{5^2\cdot5^2}{7^3\cdot7}=\left(\dfrac{5}{7}\right)^{x-2}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{5^4}{7^4}=\left(\dfrac{5}{7}\right)^{x-2}\\\\\left(\dfrac{5}{7}\right)^4=\left(\dfrac{5}{7}\right)^{x-2}\iff x-2=4\qquad\text{add 2 to both sides}\\\\\boxed{x=6}

6 0
3 years ago
Read 2 more answers
#9 and #10<br> Please show work
Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

y=2x+3 ----> equation A

x=y-8 ----> equation B

Solve by substitution

Substitute equation A in equation B

x=(2x+3)-8

solve for x

x=2x-5

2x-x=5

x=5

Find the value of y

y=2(5)+3=13

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

x=5y-1 ----> equation A

Remember that

1\ ft=12\ in

To convert inches to feet divide by 12

so

60\ in=60/12=5\ ft

x+y=5 ----> equation B

Solve the system by substitution

substitute equation A in equation B

(5y-1)+y=5

solve for y

5y+y=5+1

6y=6

y=1\ ft

Find the value of x

x=5(1)-1=4\ ft

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

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3 years ago
Jenna's band is going to record a CD at a recording studio. They will pay $125 to use the studio for one day and $90 per hour fo
Strike441 [17]

Answer:

yes

Step-by-step explanation:

4 0
2 years ago
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Sergio [31]
= (3 * 1.25 * 2)/(0.25) ^ 3

= 7.5/(1/64)

= 480 boxes

Good luck :)
3 0
3 years ago
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