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3 years ago

Select all the following that could

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

A ; C ; D

Step-by-step explanation:

Volume of a rectangular prism:

V = l x w x h

1) 5 x 4 x 3 = 60 (ok)

2) 25 x 20 x 15. The result is > 60

3) 5 x 2 x 6 = 60 (ok)

4) 4 x 1 x 15 = 60 (ok)

5) 5 x 8 x 2 = 80

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What is the volume of a sphere with a diameter of 12 cm

labwork [276]

905 is the answer hope it helps

4 0

3 years ago

If the number of $8 child tickets is 17 less than 3 times the number of $12 adult tickets and the theater took in $584, how many

NISA [10]

Answer:

The number of child tickets sold was 43 and the number of adult tickets sold was 20

Step-by-step explanation:

Let

x ----> the number of child tickets sold

y ----> the number of adult tickets sold

we know that

$x=3y-17$ -----> equation A

$8x+12y=584$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (43,20)

see the attached figure

therefore

The number of child tickets sold was 43 and the number of adult tickets sold was 20

7 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$