Translate to an algebraic expression. three less than twice a number

The solution to the equation 3(x + 2) = 2(2x + 2) is a) 4 b) 2 c) 3 d) 0

vodomira [7]

Step-by-step explanation:

Use distributive property:

3x+6=4x+4

Eliminate one variable:

Subtract 3x from both sides.

6=x+4

Subtract 4 from both sides:

2=x.

B is correct.

5 0

2 years ago

The price of an item has been reduced by 85%. The original price was $77.

irina1246 [14]

Multiply the original price by the decimal form of the percent and subtract that from the original price.
77*0.85=65.45
77-65.45=11.55
Answer: New price is $11.55

5 0

4 years ago

Read 2 more answers

A real number between 13 squared and 14 squared

yuradex [85]

If we find the square root of 13 ans 14 we get

sqrt(13) = 3.60555 
sqrt(14) = 3.74166

All Real numbers can be rational number and irrational number.

We can write 3.7 as 37/10, which is the easy rational number and an irrational number within the range is sqrt (27/2)

Real number system is used in mathematics and statistics.

6 0

3 years ago

A pack of gum is in the shape of a rectangle prism with a length of 8 centimeters and width of 2 centimeters. The volume of the

victus00 [196]

Hello!

We know that the length of the pack is 8 cm, width is 2 cm, and the volume is 48 cm^3.

The formula for volume is:

V = l × w × h

We don't want to find the volume...we already have that!

But we can use the volume and the length and width to find the height.

Since we multiply the dimensions to find the volume, we'll have to do the opposite to find a dimension.

And what's the opposite of multiplication? Division!

H = V ÷ lw

Multiply the length by the width, then divide the volume by that.

H = 48 ÷ 8(2)

H = 48 ÷ 16

H = 3

We can double check by using this to find the volume.

V = 8 × 2 × 3

V = 48

This means we're right!

ANSWER:

The height of the pack of gum is 3 centimetres.

5 0

4 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago