All categories

3 years ago

Find the area of the rectangle as a single expression.

Mathematics

1 answer:

qwelly [4]3 years ago

7 0

Answer:

D) $15x^2 +6x-48$

Step-by-step explanation:

$Area \: of \: rectangle \\ = length \times width \\ = 3(x + 2) \times (5x - 8) \\ = (3x + 6) \times (5x - 8) \\ = 3x(5x - 8) + 6(5x - 8) \\ = 15 {x}^{2} - 24x + 30x - 48 \\ = 15 {x}^{2} + 6x - 48$

You might be interested in

Target pays $13 per pair of sunglasses and uses 30% markup rate. What is targets selling price for the sunglasses?

Elena L [17]

Answer:

$16.90

Step-by-step explanation:

First you need to find how much the markup is in dollars.

Multiply 13(0.3).

This will give you 3.9.

Then you add this to the original cost of the glasses.

13+3.9= 16.9.

So, the final cost of the glasses is $16.90.

3 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordin

ch4aika [34]

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

$(\frac{-8+(-2)}{2},\frac{3+1}{2})$

3. solve

$(\frac{-8-2)}{2},\frac{3+1}{2})$

$(\frac{-10}{2},\frac{4}{2})$

$(-5,2})$

4 0

3 years ago

What is the sum of the sequence 152,138,124, ... if there are 24 terms?

N76 [4]

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

$Sn=\frac{(a_1+a_n)n}{2}$

Where:

$a_1=152\\a_n=a_{24}$

You should find $a_{24}$

The formula to find it is:

$a_n=a_1+(n-1)d$

Where d is the difference between two consecutive terms.

$d=138-152=-14$

Then:

$a_{24}=152+(24-1)(14)=-170$

Substitute it into the first formula. Therefore, you obtain:

$S_{24}=\frac{(152-170)(24)}{2}=-216$

3 0

3 years ago

Read 2 more answers

What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that

vichka [17]

Answer: 5:2

Thursday and Tuesday start with t

Monday, Wednesday, Friday, Saturday, and Sunday do not.

Step-by-step explanation:

7 0

3 years ago

When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will

PtichkaEL [24]

Answer:

The correct answer is 9 m per $second^{2}$

Step-by-step explanation:

Force is defined by mass of an object times it's acceleration.

Let the mass of the object be m kilograms.

When a force of 30 N acts on a certain object the acceleration of the object is 5 m per $second^{2}$

∴ 30 = m × 5

⇒ m = 6.

If the force is changed to 54 N, let the acceleration of the object be x m per $second^{2}$ .

∴ 54 = m × x

⇒ x = $\frac{54}{6}$ = 9

Thus when the force is 54 N, the acceleration of the object is 9 m per $second^{2}$ .

6 0

3 years ago