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Citrus2011 [14]

3 years ago

15

There are 38 students. If there are 6 seats at each table, how many tables would be needed for all of the students to be able to

sit at a table?

1 answer:

Leto [7]3 years ago

4 0

Answer:

7 tables

Step-by-step explanation:

So if 6 students can fit at each table, you divide 38 by 6. You get 6 1/3 ,but since you can't get 1/3 of a table, you have to get 7

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Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$

So, the values of x and y are 0.2 and 0.4 respectively.

6 0

3 years ago

What division sentence means the same as the following subtract sentences?

Kaylis [27]

12 can be divisible by 8,4

8 0

3 years ago

“Use the rule 5n - 2 to complete the missing entry labeled A and B in the input-output table below”

Shtirlitz [24]

Step-by-step explanation:

5n-2

5(4) - 2

20-2=18

A= 18

5n - 2 =48

5n=48+2

5n=50

divide by 5

n= 10

B=10

7 0

3 years ago

Please help me out!!

d1i1m1o1n [39]

Can do.

Arc length = radius * theta.
S=r*theta

Convert 73° to radians.
(73°)*(pi/180)
73°=1.274rad

S=(6.48in.)(1.274rad) = 8.255 in = final answer

8 0

3 years ago

the volume of a storage tub shaped like a rectangular prism is 24 ft cubed. The height of the top is 3 ft the width is W feet in

kondor19780726 [428]

<h2>Answer:</h2>

$\boxed{W=2ft}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

From the statement of the problem we know:

$V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2$

So:

$24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4$

Since we can't have negative distance, the only valid option is $\boxed{W=2ft}$

3 0

3 years ago