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Katarina [22]
3 years ago
6

John is six year older than Bill. If their combined

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

John is 21 and bill is 15

Step-by-step explanation:

You might be interested in
Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it
noname [10]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6  square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool.  The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π  = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool.  The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r²  = π * 12²  = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

5 0
3 years ago
Read 2 more answers
A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the f
algol [13]

Using linear function concepts, it is found that the correct statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

  • The number of biology degrees increases by about 2,414 each year after 2000.
  • About 73,000 students graduated with degrees in psychology in 2000.
  • In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at brainly.com/question/24808124

8 0
2 years ago
If the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?
My name is Ann [436]

Answer:

15

Step-by-step explanation:

Where n represent no.of sides

(2n-4)90=2340

180n-360=2340

180n=2340+360

180n=2700

n=15

7 0
3 years ago
Which product, when simplified, is negative?
Tanzania [10]

Answer:

C

−3.5×10×(−7)×(−18.5)

Step-by-step explanation:

There are three negative signs in this expression. An odd number of negative signs will result in a Negative product.

Remember: "a negative times a negative is a positive!"

This is true whenever there is an EVEN number of negative signs.

7 0
2 years ago
Read 2 more answers
Find "both" answers
Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

  • (2, 10)
  • (3, 13)

Slope = m = y₂-y₁ / x₂-x₁

                 = (13-10) / (3-2)

                 = 3 / 1

                 = 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

                                                                         = 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

  • Slope =  3
  • The common difference between consecutive terms of the arithmetic sequence = 3
  • The difference between the terms a₂ and a₄ = 6
  • The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0
3 years ago
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