All categories

2 years ago

Solve this problem and show the steps please because I’m so confused

Mathematics

1 answer:

marishachu [46]2 years ago

6 0

Answer:

= 12

Step-by-step explanation:

{ 3 × $3^{2}$ - 3 } -3 × 4

Solve the brackets first

{3 × 9 - 3 } -3 × 4

{ 27 -3 } -3 × 4

24 - 3 × 4

24 - 12

= 12

You might be interested in

Write the expression 44(4–7)(4) using a single exponent.

Ghella [55]

<h3>The given expression as single exponent is:</h3>

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$4^4 \times 4^{-7} \times 4$

In exponents,

When the base is same, exponents can be added

Which means,

$a^m \times a^n = a^{m+n}$

Therefore,

$4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}$

Thus the given expression as single exponent is:

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

8 0

2 years ago

Read 2 more answers

a man is standing on top of a cliff, 80 high, the angle of depression to a boat is 60° . calculate the distance of the boat from

Maurinko [17]

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS

3 0

2 years ago

Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$

The length of the patio is increased by 4 feet, so the length of the new patio will be

$\ell=(x+4)~\textup{feet}.$

Now, if the original patio measures 20 feet by 20 feet, then we must have

$w=x-4=20-4=16~\textup{feet}$

and

$\ell=x+4=20+4=24~\textup{feet}.$

Therefore, the area of the new patio is given by

$A_n=\ell \times w=24\times16=384~\textup{sq. feet}.$

Thus, the expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

4 0

3 years ago

A bottle of soda contains 390 mL.

Licemer1 [7]

The answer to c is 9$ for four "cartons" of soda the answer to a is 1560 mL

6 0

2 years ago

I am of a number. If you multiply my number by 4, add -4 to the product, and then take 1/3 of the sum, the result is -6. Find my

Bumek [7]

(4x-4)/3=-6→4x-4=-18→4x=-14→x=-7/2

3 0

2 years ago