Solve the system of equations by the substitution method.
10x + 2y = 2
- 5x = y + 10
Select the correct choice below and, if necessary, fill in the answ

Answer:

Yes, they both have a volume of 339.12 inches cubed.

Step-by-step explanation:

To calculate the volume of an oblique cylinder is very simple, we must multiply π (Pi = ~ 3.14) by the radius to the power of two and then multiply by the height. In this case the height forms a 90 degree angle from the opposite base to the position of the base, but outside of it.

Volume = π × Radius² × Height

The formula for the volume of a regular cylinder or an oblique cylinder is the same, if we imagine a stack of poker chips (forming a cylinder), even when we tilt the chips to one side (forming an oblique cylinder) the volume remains the same.

Now using this information, we must find the volumes of both cylinders.

For the oblique cylinder:
Given

Using the formula,

The volume would be 339.29 m³

Now solving for the other cylinder:

V=πr²h=π·32·12≈339.29201

Rounded, the answer would be 33.29 m³

This therefore proves that they both have the same volume.

The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in

The given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:

cos 35 = a/25

where a = BC

cos 35 = BC/25
BC = 25cos 35
BC = 20.5in

Hence the length of BC as shown in the diagram is 20.5in

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Answer:

16.31 kg.

Step-by-step explanation:

2.33 * 7

Answer:

29 degrees

Step-by-step explanation:

The interior angles of all triangles equals 180. We know already that we have 101 and 50 degrees. If we add that, we get 151. To find x, we have to simply subtract 151 from 180. If we do this, we get 29. x=29.

Hope this helps!

Answer:

y=12.5x

Step-by-step explanation:

Expression represents the radius of the cylinder, 2x units.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

Given that:

Volume of cylinder =[tex]4\pi x^{3}[/tex]

we know that, Volume of cylinder = [tex]\pi r^{2} h[/tex]

[tex]4\pi x^{3}[/tex]= π * [tex]r^{2}[/tex] *h

[tex]4x^{3} = r^{2}*h[/tex]

[tex]4x^{3} = r^{2}*x[/tex]      [since, height=x]

[tex]4x^{2} = r^{2}[/tex]

r= 2x

Hence the radius of the cylinder is 2x units

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Answer:

42

Step-by-step explanation:

I would guess that Saul had 42 belts before because 42-34 is 8

Answer:

(0, 1)

Step-by-step explanation:

right 2 units: add 2 to x

up 4 units: add 4 to y

Answer: (0, 1)

Answer:

The answer is 65% is the percent decrease

Answer: 7.81

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2=4

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability of a high school diploma person having less than $40,000 income will be

P(HSD) = 51/78

P(HSD) = 0.6538

The probability of a Bachelor's degree person having less than $40,000 income will be

P(BD) = 24/78

P(BD) = 0.3077

The probability of a master's degree person having less than $40,000 income will be

P(MD) = 3/78

P(MD) = 0.0385

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

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help is on the way! :D

Im sorry if im wrong but i could do 17.82x10= 178.20

Answer:

See below

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-25x\\\\f(x)+(\frac{-25}{2})^2=x^2-25x+(\frac{-25}{2})^2\\\\f(x)+156.25=x^2-25x+156.25\\\\f(x)+156.25=(x-12.5)^2\\\\f(x)=(x-12.5)^2-156.25\\\\f(x)=(x-\frac{25}{2})^2-\frac{625}{156}[/tex]

Identify vertex

[tex](h,k)\rightarrow(-\frac{25}{2},-\frac{625}{156})[/tex]

Answer:

The area of the rectangle is 180 units

Step-by-step explanation:

6 + 2 + 2 = 10

But the areas of each sectioned off shape are

Big rectangle = 180

Small rectangle = 48

2 by 8 triangles = each 8

3 by 8 triangles = each 12

Altogether, it's 268

Answer:

268 square yards

Step-by-step explanation:

small L rectangle   8 x 6 =48

two L triangles   2    * 1/2 * 2 * 8 = 16

Large rectangle 18 x 10 = 180

two R triangles    2    * 1/2 3 x 8 =24    Total = 268 yds^2

Answer:

Hello!!!

In this specific case the constant of proportionality is s (speed).

Step-by-step explanation:

The constant of proportionality stay "constant" (as the name suggests) in a certain case.

meaning, the speed itself remains constant at any given distance or time.

You can use the constant of proportionality and either distance or time to find the missing varliable since it remains constant.

you can also switch up the formula:

d=st

t=d/s

s=d/t

i really hope this helps!!!!!

Answer:

The answer is A.

Step-by-step explanation:

I took the test

Answer:

600 + 161 = 761

Step-by-step explanation:

599 + 162 = 600 + 161 = 761

Answer:

22.8 m

Step-by-step explanation:

the 2 situations are similar triangles

the ratio of corresponding sides are in proportion

let h be the height of the tree , then

[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )

1.3h = 29.64 ( divide both sides by 1.3 )

h = 22.8 m

[tex]60cm^{2}[/tex]

Step-by-step explanation:

A=pq/2

shorter diagonal= 8cm

longer diagonal = 15cm

15*8 = 120

120/2 = 60

A = [tex]60cm^{2}[/tex]

Answer:

since we are not given the value of AC we say that AC =6×10=60

Answer:

0

Step-by-step explanation:

2/3 additive inverse is 2/3

-2/3+2/3 is neutral = zero

-2/3+2/3 = 0

Answer:

Before you write the answer to your question, make sure the question is asking for the actual value of pi or 3.14.

If the question was asking for the question to be completed with the ACTUAL VALUE of pi, then your answer is ----> 4.37

If the question was asking for the question to be completed with the rounded of pi (3.14), then your answer is ----> 4.38

It's a subtle difference, but remember, there is no such thing as close in math, it's either right or wrong.

Step-by-step explanation:

Given: Circle's Area, 60.12

As the value of pi was not directly stated, I will divide the answer into 2 portions, portion one with the answer with the actual infinite value of pi, and one where I will describe how to do it with 3.14 as pi.

Explanation with 3.14:

First thing first, know the formula for calculating the area of a circle:

[tex]A = \pi r^2[/tex]

[tex]A[/tex] stands for Area, and [tex]r[/tex] stands for Radius

Now, plug in the given values:

[tex]60.12 = \pi r^2[/tex]

Next, replace 3.14 for pi:

[tex]60.12 = (3.14)r^2[/tex]

Then, divide both sides by 3.14 ,which gives us:

[tex]19.15 = r^2[/tex]

Please note: 19.15 is rounded

Anyway, to isolate [tex]r[/tex], we take the square root of both sides:

[tex]\sqrt{19.15} = \sqrt{x^2}[/tex]

The square root and square on the right side of the equation cancel out, and we are left with:

[tex]4.38 = r[/tex]

Please note that 4.38 was rounded

Answer:

41 degrees

Step-by-step explanation:

All of the angles must add up to 360 degrees to form a circle. So we have 22 + b + 297 = 360. Solving for b, we get b = 41.

Answer:

102

Step-by-step explanation:

78 and x are adjacent angles.

Sum of adjacent angles is 180 in a parallelogram.

78 + x = 180

x = 180 - 78

x = 102

Answer:

102°

Step-by-step explanation:

78+x= 180( adjacent angles in a parallelogram)

x=180-78=102°

Answer:

25%

Step-by-step explanation:

To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.

The given data in this problem are

The system of equations can be written as

[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]

Let's start with equation (i)

[tex]x + y = 100\\\\y = 100 - x[/tex]

Substitute equation (iii) into equation (ii)

[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]

From the calculations above, the number of 50 cents coins are 60.

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The total tons of trash that was thrown away by the people is 3.9 tons.

The first step is to convert pounds to tons

1 pound  = 0.0005 tons

40 x 0.0005 = 0.02 tons

The second step is to multiply 0.02 by 195

0.02 x 195 = 3.9 tons

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Answer:

0.16666666666667.

Step-by-step explanation:

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80