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3 years ago

The sum of two numbers is 16. their difference is 1. what is the product of the two numbers

Mathematics

1 answer:

Fofino [41]3 years ago

3 0

Answer:

The product of the numbers is 63.75

Step-by-step explanation:

Let the numbers be x and y

x + y = 16

x -y = 1

Adding both together

2x = 17

x = 17/2

x = 8.5

Recall

x -y = 1

8.5 - y = 1

y = 8.5 - 1 = 7.5

Their product is xy

so we have 7.5 * 8.5 = 63.75

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Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?

Ostrovityanka [42]

Answer:

12%

Step-by-step explanation:

Cost Price of the MP3 player =$150

Sales Tax = 8 %

Total sales tax= Tax * Cost Price

= $\frac{8}{100} * 150$

=12%

He payed a total of 12% sales tax

7 0

3 years ago

The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level

Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}$

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

$\text{Average Speed}=\frac{1353}{60}$

$\text{Average Speed}=22.55$

Therefore, the speed of elevators is 22.55.

8 0

3 years ago

A coach is purchasing some baseballs and a baseball bat. The baseballs cost $7.50 each. The bat costs $26. The coach has $84. Wh

ExtremeBDS [4]

He can buy 7 baseballs and one bat

3 0

3 years ago

Solve the equation.

Gekata [30.6K]

Answer:

-145.436

Step-by-step explanation:

B + 116.49=-28.946

B + 116.49–116.49 =28.946 —116.49

When simplified its - 145.436

7 0

3 years ago

3x - y = 7<br> y = 2x - 2

____ [38]

Answer:

x = 9

Step-by-step explanation:

1) Subsitute! You have to replace y with 2x - 2 in 3x -y = 7, b/c they already gave you the equation for y (in the second part: y = 2x - 2)

So, your equation would look like this : 3x - (2x - 2) = 7

3) Solve suing PEMDAS!

There's a negative outside the parenthesis of 2x -2 -> - (2x-2). Multiply the negative individually inside the parenthesis so you will get (-2x + 2)

3x - 2x - 2 = 7 subtract the same variable; x

1x - 2 = 7 you don't need to put 1 to x, only if you want!

+ 2 + 2 add 2 on both sides

x = 9

5 0

3 years ago