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2 years ago

Can anyone answer the first one please?

Mathematics

1 answer:

Nikolay [14]2 years ago

8 0

Answer:

about 11.99 inches

Step-by-step explanation:

Using the formula for the volume of a right circular cylinder:

$\pi {(4.5}^{2} )h = 763$

$h = 11.994$

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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:
$x=1 \\ y=1$

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3 years ago

HELP ME !?!!!!?!?? Please

vovikov84 [41]

Answer:

Step-by-step explanation:i havent done something like this in a long time

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2 years ago

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The temperature in Minneapolis changed from -7°F at 6 AM to 7°F at noon. how much did the temperature increase?

Paraphin [41]

That would be 7 - (-7) = 7 + 7 = 14 degrees F

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3 years ago

If Jk=5x+1 and KL=7x-3 K is the midpoint of JL what is JL

il63 [147K]

Your answer to the length on JL is 22

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2 years ago

Simplify (2√27) x (3√32)

Kryger [21]

For this case we have the following expression:

$(2 \sqrt {27}) (3 \sqrt {32})$

We have to:

$27: 3 * 3 * 3: 3 ^ 2 * 3\\32: 16 * 2: 4 ^ 2 * 2$

Rewriting the expression and simplifying we have:

$(2 \sqrt {3 ^ 2 * 3}) (3 \sqrt {4 ^ 2 * 2}) =\\(2 * 3 \sqrt {3}) (3 * 4 \sqrt {2}) =\\(6 \sqrt {3}) (12 \sqrt {2}) =\\72 \sqrt {3 * 2} =\\72 \sqrt {6}$

Answer:

$72 \sqrt {6}$

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3 years ago

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