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DedPeter [7]
3 years ago
10

19. Given m29 = 2x + 3, m27 = 3x – 9, and m/1 = x + 18, , what is the value of x?

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

15

Step-by-step explanation:

jk

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A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says tha
klasskru [66]

Answer:

C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.

Step-by-step explanation:

We have a cone and a cylinder with the same base and height.

We can express the volume of the cylinder as:

V_{cyl}=\pi r^2H

being r the radius and H the height.

The volume of the cone can be written as:

V_{con}=\dfrac{\pi}{3}r^2H=\dfrac{V_{cyl}}{3}

As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.

If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is:

V_{con}=\dfrac{V_{cyl}}{3}=\dfrac{4,712}{3}\approx1571

8 0
3 years ago
Read 2 more answers
In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
3 years ago
X over -5 =15 <br> whats the solution to this equation
skad [1K]

Answer:

<em>x = -75</em>

Step-by-step explanation:

\frac{x}{-5} = 15

15 * -5 = -75

x = -75

Hope this helps! :)

8 0
3 years ago
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Feliz [49]
Am thinking you need to dilate the shape by multiplying by 2 and draw your new image!!
6 0
3 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60,
OverLord2011 [107]
$32 with 5% sales tax increases the price to $33.60. $55 with 5% sales tax added would equal a total cost of $57.75. The answer is $57.75.
4 0
3 years ago
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