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Luden [163]
3 years ago
12

System of equationsy=1/2x +5y=3x -5​

Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer: 4

Step-by-step explanation:

Set them equal to each other since they're both equal to y

3x-5=.5x +5

add 5 to both sides

3x=.5x+10

subtract .5x from both sides

2.5x=10

divide both sides by 2.5

x= 4

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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
The quotient of 20 and four, multiplied by 10 as an expression
Genrish500 [490]
(20 / 4 )x 10

5 x 10

50
5 0
3 years ago
The solution to a system of three equations in three variables is__one point.
Firdavs [7]
The answer for this is B because
6 0
3 years ago
What is 5/18 + (-1/6)
Jobisdone [24]

Answer:

2/18, 1/9

Step-by-step explanation:

5/18 + (-1/6)

-1/6=-3/18

5/18+(-3/18)=

2/18

3 0
3 years ago
Read 2 more answers
A sample of students is taken from the school's A honor roll. The school estimates that there are actually 360 students on the A
Sergio [31]

Answer:

Number of 8th Graders = 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.

As we know:

Total number of students on the A honor roll = 360

We are asked to calculate, number of students from 8th grade on the A honor  roll.

So, let's assume that "X" represents the all the students who are on the A honor roll except 8th grade.

Mathematical Expression:

Number of 8th Graders = Total number of students on the A honor roll - X

Number of 8th Graders = 360 - X

So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.

3 0
3 years ago
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