All categories

3 years ago

Choose the equation that could be used to solve this problem. The product of a number and 3 is 87. What is the number?

Mathematics

1 answer:

Anon25 [30]3 years ago

4 0

in mathematics the product of numbers means multiply the numbers

let x be the number, then the product of x and 3 = 3x

the result of this multiplication is 87

so 3x = 87 is the equation to solve the problem

the solution is x = 29

You might be interested in

License plates in India begin with a code that identifies the state and district where the vehicle is registered, and this code

umka2103 [35]

Answer:

a: 175,760,000

b: 24,240,000

Step-by-step explanation:

For each letter assigned, there can be 10,000 numbers after it (the numbers 0000 through 9999).

There are 26 letters, so when we use all the letters we have assigned

26*10,000 = 260,000 license plates.

Each time we add a letter, we have assigned 26 more options

(AA, AB, ... AZ, BA, BB, ...BZ)

So when we get through 2 letters we have

26*260,000 = 6,760,000 plates

When we add a third letter, we have 26 new cycles of the previous situation.

So we have 26*6,760,000 = 175,760,000 plates

If the district has 200,000,000 cars, then they need

200,000,000 - 175,760,000 = 24,240,000 cars with 4 letters on their plates

5 0

3 years ago

A ball is thrown from the height of 35 meters with an initial downward velocity of 5m/s. The ball's height h (in meters) after t

Verdich [7]

You find this value by factoring. Factoring finds the zeros of the function. When the ball hits the ground, it has 0 height. Therefore, when the function goes through the x axis, it has a y value of 0. That means that when y = 0, the ball has hit the ground. Use the quadratic formula to factor $h(t)=-5 t^{2}-5t+35$ . Notice I rearranged the terms. When you factor that you get zeros of -3.19 and 2.19. The two things in math that will never EVER be negative are time and distance/length. Therefore, that tells us that the ball hits the ground 2.19 seconds after it was thrown.

7 0

3 years ago

Please please help!!!!!!

Zarrin [17]

Answer:

total area=lb=

where l=8x-10

b=2x+2x=4x

area=4x(8x-10)=32x^2-40x..........(1)

now..area of hot tub=x^2=lb

area of pool=lb=2x(6x-14)=12x^2-28x

area of patio = total area - area of hot tub and pool

A=32x^2-40x-x^2-12x^2+28x=(19x^2-12x) feet.....ans

6 0

3 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

The park is 400 feet. The length of the park is 50longer than the width . what is the length of the park

Kipish [7]

Answer: 125 ft.

Step-by-step explanation:

Assuming the perimeter of the park is 400 ft, the equation can be represented as

2l + 2w = 400

Since we know that the width is 50 ft shorter than the length, using algebra, you replace the variable w, with

2l + 2(l-50) = 400

Then, solve for variable l, or length

2l +2l - 100 = 400

4l = 500

l = 125

Now, plug in l and solve for w

2(125) + 2w = 400

250 + 2w = 400

2w = 150

w = 75

2(125) + 2(75) = 400

250+150 = 400

400=400

l = 125, w = 75

So the length is 125 ft

6 0

3 years ago

Read 2 more answers