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Simora [160]
3 years ago
13

If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what

expression represents the area of the playground. Leave your answer in standard form. Show all work.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

The expression for area of rectangle in standard form is: 10x^2+3x-27

Step-by-step explanation:

The area of rectangle is given by:

Area = Length * Width

Here, in the question, we are given length and width of the rectangle

Length = 2x-3

Width = 5x+9

The area of the rectangle will be:

Area = (2x-3)(5x+9)\\= 2x(5x+9)-3(5x+9)\\= 10x^2+18x-15x-27\\= 10x^2+3x-27

Hence,

The expression for area of rectangle in standard form is: 10x^2+3x-27

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Write verbal phrase to algebraic expression. 4 more than the product of 7 and y
Delvig [45]

replace four with the number 4

the oroduct if 7 means we multiply the variable y by the constant 7 using the () operator

7y

the phrase more than means we add the term 7y to 4 using +

4+7y

5 0
3 years ago
Claire is building a dollhouse where 1 inch on the plans is equivalent to 5 inches on the actual dollhouse.
8090 [49]

Answer: 6.5 inches

Step-by-step explanation:

From the question, we are informed that Claire is building a dollhouse where 1 inch on the plans is equivalent to 5 inches on the actual dollhouse.

​

​If the house is to be 32.5 inches tall, the height be on the plans will be one-fifth of the actual dollhouse. This will be:

= 1/5 × 32.5

= 6.5 inches

7 0
3 years ago
Jack divided his fortune of 92,000 into 8 equal parts. he gave 4 parts to his wife, 1 part to his son and divided the last 3 par
trasher [3.6K]

Answer: 4600

Step-by-step explanation:

Jack divided his fortune of 92,000 into 8 equal parts. This means a part will be equal to:

(92000 ÷ 8) = 11500.

He gave 4 parts to his wife. This means his wife has:

(11500 × 4) = 46000.

1 part to his son means that his son has: (1 × 11500) = 115000.

He gave the last 3 parts and evenly it among 5 charities. This means:

(3 × 11500) = 34500 was shared among 5 charities. Each charity will get: (34500 ÷ 5) = 6900

To calculate how much more money did his son get than the charities will be:

11500 - 6900 = 4600

5 0
3 years ago
pablo has $4200 to invest. pablo's goal is to have $5000 after 4 years. is this possible if he invests with a rate of return of
Ivenika [448]
4200 * 1.06 = 4452.
4452 * 1.06 = 4719.12.
4719.12 * 1.06 = 5002.27

It would only take 3 years to reach $5000.
6 0
3 years ago
Read 2 more answers
PLZ ANSWER QUICKLY AND THEN PLZ EXPLAIN HOW TO DO IT
Andrews [41]

Hello!

The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.

To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.

\frac{5-1}{2-0} =\frac{4}{2} =2

Therefore, our slope is 2.

Now we plug these values into our equation.

y=2x+4

I hope this helps!

6 0
3 years ago
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