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

Answers

Answer 1
Answer: No Solutions

Step-by-Step Explanation:

=> 10x + 2y = 2 (Eq. 1)
=> -5x = y + 10 (Eq. 2)

From Eq. 2 :-

-5x = y + 10
=> x = (y + 10)/-5 (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 1 :-

10x + 2y = 2
10(y + 10/-5) + 2y = 2
-2(y + 10) + 2y = 2
-2y - 20 + 2y = 10
0 = 10 + 20
=> 0 = 30
LHS is not Equal to RHS.

This is a False Statement and hence this System of Equations has No Solutions.



Related Questions

Erin has four shirts (whites, blue, red, black) and two pairs of pants (black, blue). She randomly chooses a shirt and a pair of pants. what is the probability that they are the same color?

Answers

Answer:

25%

Step-by-step explanation:

A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?


I aded the graph

Answers

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

What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.

Answers

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

SOH CAH TOA identity

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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If a right circular cylinder and oblique cylinder both have a height of 12 inches and diameter of 6 inches, do they have the same volume? (Use straight pi equals 3.14)
Group of answer choices

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

No, the right circular cylinder has a volume of 339.12 inches cubed and the oblique cylinder has a volume of 1 comma 356.48 inches cubed.

No, the right circular cylinder has a volume of 1 comma 356.48 inches cubedand the oblique cylinder has a volume of 339.12 inches cubed.

Yes, they both have a volume of 1 comma 356.48 inches cubed.

Answers

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

Radius is 3 (Radius is have the diameter which is 6)Height is 12

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.

what is the measurement of angle B

Answers

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.

Divide and write the quotient as a decimal

Answers

Answer:

0.16666666666667.

Step-by-step explanation:

One container of lemonade mix weighs 2.33 kilograms. How much will 7 containers weigh?

Answers

Answer:

16.31 kg.

Step-by-step explanation:

2.33 * 7

Question: Write an equation for this.

You have total 100 coins
that consist of 50 cents
and 10 cents. The total
money is 34 dollar. Find the
number of the 50 cent
coin.

Answers

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.

System of Equation

The given data in this problem are

number of coins = 10050 cents = x10 cents = yamount = $34

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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Consider the following shape. Find the value of x. Round your answer to two decimal places.

Answers

Answer: 7.81

Step-by-step explanation:

6
7
2
5
The usual price of a TV set was $400. During Memorial Day weekend, the price was marked down to
$335. What was the percent decrease in the price of the TV set?
сл

Answers

Answer:

The answer is 65% is the percent decrease

A municipal trash facility allows a person to throw away a maximum of 40 pounds of trash per week. Last week, 195 people threw away the maximum allowable trash. How many tons of trash did this equal

Answers

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

How many tons of thrash was thrown away?

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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A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.​

Answers

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

The measures of the angles of a triangle are shown in the figure below solve for X

Answers

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!

this is an escape room i can't escape

Answers

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

What is the image point df (-2, -3) after a translation right 2 units and up 4 units?

Answers

Answer:

(0, 1)

Step-by-step explanation:

right 2 units: add 2 to x

up 4 units: add 4 to y

Answer: (0, 1)

The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). Explain the different ways that you can define the constant of proportionality for this equation.

Answers

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!!!!!

The area of a circle is 60.12cm find the length of the radius rounded to 2 dp.

Answers

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

URGENT!! VERY HARD QUESTION. WHAT IS 2+2?? NEED ANSWER RIGHT NOW!!

Answers

Answer:

4

Step-by-step explanation:

2+2=4

a bicyclist rides 25 miles every 2 hours during race which equation represents the relationship between the number of miles and the number of hours of the bicyclist rides? let x represent the number of hours and let y represent the number of miles?

Answers

Answer:

y=12.5x

Step-by-step explanation:

Natalia makes $17.82 per hour, and is expecting to receive a 10% increase in pay. What can Natalia expect her future hourly rate to be?

Answers

help is on the way! :D

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

n the diagram, what is AC?

A.
6

B.
12.33

C.
10

D.
12

Answers

Answer:

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

please answer this for me

Answers

Answer:

600 + 161 = 761

Step-by-step explanation:

599 + 162 = 600 + 161 = 761

Find the sum of 2/3 and it’s additive inverse

Answers

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

Find the value of x in the parallelogram below.

Answers

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:

A parallelogram is a special type of quadrilateral that has both the pair of opposite sides parallel and equal.

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

x=180-78=102°

emergency!!

Write the function f(x)=x² – 25x in the form f(x) = a(x - h)? +k. Identify the vertex.


Answers

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]

Find the area of the rhombus

Answers

[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]

X=-3
A. 64
B. 8
C. 4
D. 16

Answers

Answer:

The answer is A.

Step-by-step explanation:

I took the test

what can Tiffany conclude from the data above?​

Answers

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

What is probability?

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.

More about the probability link is given below.

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The volume of a cylinder is 4πx3 cubic units and its height is x units.


Which expression represents the radius of the cylinder, in units?

: 2x, 4x

Answers

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

What is a cylinder?

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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If Saul CANELO Alvarez has 8 belts how many belts would he have it 34 were taken away

Answers

Answer:

42

Step-by-step explanation:

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

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