Tiya used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:

Suma a doua numere este 98 iar diferenta lor este 82 aflati cele doua numere

Virty [35]

Answer:

90 and 8

Step-by-step explanation:

The question is : the sum of two numbers is 98 and their difference is 82 find the two numbers

Let two numbers are x and y.

Sum of two numbers is 98

x+y = 98 ....(1)

The difference of two numbers is 82.

x-y=82....(2)

Adding equation (1) and (2) we get :

x+y+x-y=98+82

2x=180

x=90

Put the value of x in equation (1)

90+y = 98

y = 8

Hence, the two numbers are 90 and 8.

5 0

4 years ago

Andrew needs to print a document that is 180 pages long. How much longer will it take to print the document on a sure fire print

baherus [9]

A centroid printer is a fast-print printer with a speed of 20 pages per minute. A surefire printer is also fast but it's a bit slower with a printing speed of 15 pages per minute. So,
180 pages / (20 pages per minute) - 180 / (15 pages per minute)
= 36 minutes
It would take 36 minutes faster for the centroid printer to print the document than a surefire printer.

5 0

3 years ago

the cost per year to lease a coffee shop in downtown austin varies directly with the size of the shop if a 1425 square foot shop

Ivahew [28]

Answer: $582,400

Step-by-step explanation:

Hi, to answer this question we have to write a proportion.

Proportion = square feet/ cost

Since a 1425 square feet shop cost 45600 to lease, the proportion is equal to: 1425/45600

For a 1820 square feet shop: 1820/x

Where x is the cost per year for leasing a 1820 square feet shop

1425ft/$456000= 1820ft/$x

1425/456000=1820/x

Solving for x:

x = 1820/(1425/456000)

x = $582,400

4 0

4 years ago

Read 2 more answers

Create and solve a problem for 5/6 ×12

chubhunter [2.5K]

The answer is 10. I don't know what you mean by create a problem.

8 0

3 years ago

Read 2 more answers

Could someone explain this to me?

Ilya [14]

This is a simple differentiation problem. Let's start by taking the derivative of both sides (with respect to x):
$5y^4\frac{dy}{dx}+6y^2x+6x^2y\frac{dy}{dx}+20x^3 = 0$

Simplify:
$\frac{dy}{dx} (5y^4+6x^2y) + 6y^2x+20x^3 = 0$

Solve for dy/dx:
$\frac{dy}{dx} = \frac{-6y^2x-20x^3}{5y^4+6x^2y}$

Now, plug in the given points:
$\frac{dy}{dx} = \frac{-6(2)^2(-1)-20(-1)^3}{5(2)^4+6(-1)^2(2)} = \frac{24+20}{80+12}$

Further simplification gives:
$\frac{dy}{dx}|_{(2,-1)} =\frac{44}{92} = \frac{11}{23}$

So, your answer is 11/23 or B.

7 0

4 years ago