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2 years ago

What is the Greatest Common Factor for expression 32x+16y-48?

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

16 (2x + y - 3)

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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago

What is 0.99714 in scientific notation

laiz [17]

9.9714 x 10^-1

That would be in scientific notation

5 0

2 years ago

Read 2 more answers

Pls HELP I don’t understand :,(

White raven [17]

I have no clue what the answer is

3 0

2 years ago

Divide £72cm in the ratio 2:3:1 working out please

ale4655 [162]

2:3:1
2+3+1 = 7

£72 / 7 = £10.28

Answer:
£10.28 * 2 = £20.56
£10.28 * 3 = £30.84
£10.28 * 1 = £10.28

If you want to check if it's correct. add all three of them and see if you get the £72.

Please make this answer the brainiest!

4 0

2 years ago

Alexander has nickels, dimes, and quarters in the ratio of 2:1:8, if 40 of Alexander's coins are quarters, how many nickels and

ch4aika [34]

Answer:

He has 10 nickels and 5 dimes

Step-by-step explanation:

We can take advantage of the ratio by dividing 40 by 8, giving us that every 1 in the ratio = 5. So we can multiply 2 x 5 = 10 and 1 x 5 = 5.

Hope this Helps!

4 0

2 years ago