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2 years ago

First answer = brainliest

Mathematics

2 answers:

mamaluj [8]2 years ago

5 0

Answer:

2916 ft^3

Step-by-step explanation:

In this case, the diameter if 18 ft, making the radius 9 feet. Now, we plug in the values into the formula and simplify.

$\frac{4}{3}* 3 * 9^3$
$\frac{4}{3} * 3 * 729$
$4 * 729$
$2916$

Therefore, the volume is 2916 ft^3.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Mandarinka [93]2 years ago

5 0

Answer:

2916

Step-by-step explanation:

4/3x3x9^3=2916

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The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

<em>148 non students attended</em>

4 0

3 years ago

A construction company wants to build an auditorium on a trapezium shaped plot measuring 410m2. One of the parallel sides of the

Assoli18 [71]

Answer:

other parallel side is 23m

Step-by-step explanation:

Let's assume other parallel sides as 'x'

One of the parallel sides of the trapezium plot measure 18m

so, y=18

distance between the two parallel sides measure 20m

so, h=20

now, we can use area of trapezium formula

$A=\frac{1}{2}\times h \times (x+y)$

now, we can plug values

$A=\frac{1}{2}\times 20 \times (x+18)$

we can set A=410

and then we can solve for x

$410=\frac{1}{2}\times 20 \times (x+18)$

$10\left(x+18\right)=410$

$x+18=41$

$x=23$

6 0

3 years ago

Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)

Vsevolod [243]

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

8 0

2 years ago

A company buys pens at the rate of $5.50 per box for the first 10 boxes, $4.50 per box for the next 10 boxes, and $3.50 per box

marusya05 [52]

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.

4 0

3 years ago

If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. but if you buy four pens and two me

xxTIMURxx [149]

Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.

Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

$\begin{cases} 6p+m=9\\4p+2m=8\end{cases}$

Now, if you multiply the first equation by 2, the system becomes

$\begin{cases} 12p+2m=18\\4p+2m=8\end{cases}$

Subtract the second equation from the first:

$12p+2m - (4p+2m) = 18-8 \iff 8p = 10 \iff p = \dfrac{10}{8} = 1.25$

Plug this value into the first equation to get

$6p+m=9 \iff 6\cdot 1.25 +m = 9 \iff 7.5 +m=9 \iff m = 9-7.5 = 1.5$

7 0

3 years ago