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Leno4ka [110]
3 years ago
6

The ratio of ebooks to novels is 4:5. if there are 32 ebooks how many novels are there?

Mathematics
1 answer:
12345 [234]3 years ago
4 0
<h3>Answer:  40 novels</h3>

================================================

Work Shown:

n = number of novels

(32 ebooks)/(n novels) = 4/5

32/n = 4/5

32*5 = n*4 ............ cross multiply

160 = 4n

4n = 160

n = 160/4 .............. dividing both sides by 4

n = 40

There are 40 novels.

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A line has a slope of -2/5. Generate the coordinates of two points that would lie on the same line
vovangra [49]

Answer:

Many solutions are possible. One example is (10,5) and (5,7).

Step-by-step explanation:

The slope is the distance between points represented as a ratio of vertical to horizontal distances. It is a difference or subtraction. To find two points work backwards. What two points have y values with a distance of -2?

5-7=-2

So the points are (x,5) and (x,7).

Now what x values have a distance of 5?

10-5 = 5

So the points are (10,5) and (5,7).

5 0
3 years ago
What is the area of this shape?
suter [353]

Step-by-step explanation:

There are four quarter circles, each with radius 9 ft.  Together, they form a full circle.  There are also four squares, each with side length 9 ft.

A = πr² + 4s²

A = π (9 ft)² + 4 (9 ft)²

A ≈ 578.469 ft²

6 0
3 years ago
A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral
maks197457 [2]

Answer:

80

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which point is a solution to the system of inequalities below?
vodomira [7]

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

7 0
1 year ago
I need help on number 18
zloy xaker [14]

Answer:

Volume = 35185.8 km^{3}

Step-by-step explanation:

Recall the formula for the volume of a cone: Volume = \pi  R^{2}  \frac{h}{3}

Where R is the radius of the cone's circular base (in your case half of 80 km,(that is 40 km)

And h stands for the height of the cone (in your case 21 km)

We replace such in the formula and calculate its final value:

Volume = \pi 40^{2} \frac{21}{3} = \pi  1600 \frac{21}{3} = \pi 1600 (7) = 35185.83772...

We round it to the number of decimals your problem request (let's say to one decimal) and also include the cubic units:

Volume = 35185.8 km^{3}

7 0
3 years ago
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