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3 years ago

18. Write an expression to represent the area of the shaded region in simplest form. Please help it's due tomorrow

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

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Mr. Loretta spends $4.83 on pens and notebooks. Pens cos $0.95 each. Notebooks cost $0.99 each. How many of each item does he bu

VMariaS [17]

<h2>The total number of items does he buy 5 (three pens and two notebooks).</h2>

Step-by-step explanation:

The total amount spend by Mr. Loretta = $4.83

The cost of each pen = $0.95 and

The cost of each notebook = $0.99 and

To find, total number of items he buy = ?

∴ The cost of one pen and one notebook = $0.95 + $0.99 = $1.94

The cost of two pens and two notebooks = $1.94 × 2 = $3.88

∴ The cost of three pens and two notebooks = $3.88 + $0.95 = $4.83

Thus, the total number of items does he buy 5 (three pens and two notebooks).

4 0

3 years ago

Part C<br> How many cubic blocks are needed to fill the fish tank?

nikklg [1K]

Answer:

$2\frac{2}{3}$ cubic blocks

Step-by-step explanation:

The given parameters are:

$Length = \frac{1}{2}yd$

$Width = 16yd$

$Height =\frac{1}{3}yd$

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

$Volume = Length * Width * Height$

This gives:

$Volume = \frac{1}{2} * 16 * \frac{1}{3}$

$Volume = \frac{16}{6}$

Simplify

$Volume = \frac{8}{3}$

Express as mixed numbers

$Volume = 2\frac{2}{3}yd^3$

5 0

3 years ago

An employees hourly wage is $16.50 per hour plus $0.25 for each of the q units produced during the hour. Write an algebraic expr

shusha [124]

Answer:

16.50+0.25q

I need more words to make it so I can turn in the answer

4 0

3 years ago

Johnny uses 2-inch square tile to make a square, as shown below. What is the perimeter of Johnny's square? there are 3 2-inch ti

Monica [59]

So,

If we visualize it, we can see a 3 x 3 square, with each unit representing 2 in.

If we do simple multiplication, we can figure out that each side is 6 in. long.

Fourfold of 6 in. reveals the perimeter: 24 in.

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4 years ago

The football team needs to raise at least $7,000 for new football uniforms. An anonymous donor gave the team $1,250 toward their

jok3333 [9.3K]

Answer: There are 58 players to raise $100 to meet their goal.

Step-by-step explanation:

Since we have given that

Amount to raise = $7000

Amount given the team by the donor = $1250

Amount each player is able to raise = $100

Let the number of player be 'x'.

According to question, we get that

$1250+100x\geq 7000$

So, the required number of players would be :

$100x\geq 7000-1250\\\\100x\geq 5750\\\\x\geq \dfrac{5750}{100}\\\\x\geq 57.5$

Hence, there are 58 players to raise $100 to meet their goal.

7 0

3 years ago