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2 years ago

Volume (look at the picture)

Mathematics

1 answer:

bonufazy [111]2 years ago

5 0

Answer:

108

Step-by-step explanation:

You start by finding the area of the trapezoid, which is ((3+5)/2) 3 = 12, then you multiply 12 by 9 which is 12*9 = 108

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Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The childre

fiasKO [112]

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

Given the following data;

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

For the total number of tickets;

$c + a = 15$ .........equation 1

For the total amount spent;

$7c + 12a = 140$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making c the subject in equation 1:

$c = 15 - a$ .......equation 3

Substituting "c" into equation 2;

$7(15 - a) + 12a = 140$

Simplifying the equation, we have;

$105 - 7a +12a = 140$

$105 + 5a = 140$

Rearranging the equation, we have;

$5a = 140 - 105$

$5a = 35$

$a = \frac {35}{5}$

a = 5 (For the $12 adult ticket).

To find the number of children tickets;

Substituting "a" into equation 3;

$c = 15 - 7$

c = 8 (For the $7 children ticket).

4 0

2 years ago

Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

8 0

3 years ago

Read 2 more answers

The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?

Sati [7]

Answer: 24m

Step-by-step explanation:

How much carpet is asking the area and area= LW

so Length(4) x Width(6) = 24

8 0

3 years ago

13. A contractor buys 8.2 square feet of sheet metal.

Veseljchak [2.6K]

Answer:

$x = \frac{183}{6.7}$ is the required equation.

The Per sq ft of sheet costs $ 27.31.

Step-by-step explanation:

The total amount of sheet purchased = 8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or, $x = \frac{183}{6.7} = 27.31$

or x = $27.31

Hence, the Per sq ft of sheet costs $ 27.31.

6 0

2 years ago

What is the additive inverse of the complex number 9 – 4i?

stiks02 [169]

Answer:-(9 - 4i) =

Step-by-step explanation:

Given the complex number 9 - 4i, the additive inverse is the number that when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:

(a + bi) = -(a + bi)

Given: 9 - 4i

-(9 - 4i) = -9 + 4i

8 0

3 years ago