Solve systems by elimination step by step
2x + y = 180
x - y = 30

Answers

Answer 1

The value of x=70 and y=40

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Here, 2x+y=180

x-y= 30

Here, the coefficient of y in these two equations are equal and have opposite signs. so,

                             2x+y= 180

                             x-y= 30

     Now adding equation 1 and equation 2

We get,

               3x= 210

                  x= 210/3

                  x= 70

Now, to find y:

Putting the value of x in equation 2

          x-y= 30

         70-y= 30

          y= 70-30

           y= 40

so, the value of x and y are 70 and 40

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Related Questions

is 11^2 x 5^4 a factor of 11^3 x 5^4

Answers

No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.

11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

75125 / 75125 = 1 with a remainder of 0.

Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

plz help me well mark brainliest if correct!!...

Answers

Answer:

B

Step-by-step explanation:

It looks like it would be D none of the above because she only has piano lessons on Monday from 4:30 to 5

Which relation is the factored form of f(x)=x^2-4x+4
a) f(x)=(x-2)^2

b) f(x)=(x+4)(x-1)

c)f(x)=4(x-1)^2

d)f(x)=(x-2)(x+2)

Answers

Answer:

answer is a) f(x)= (x-2)^2

I need help with these 4 problems

Answers

As a result, $1600 is the answer to the problem equation comes out to be stated problem, which is the estimated rent.

Describe equation.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 2x - 5 = 15 is an equation. We can find that the variable x has a value of 5 by resolving this equation.

Here,

In New York City, a one-bedroom apartment will cost $1600 in 2020.

Y = mx + c is frequently used as the formula for a straight line graph, where;

gradient = m

The vertical intercept is given by c.

With this knowledge, it is evident from the graph that y = 40x + 800 is the best line of fit for the data presented.

This indicates how much a one-bedroom apartment in New York City will cost in 2020, or 20 years after the year 2000.

y = 40(20) + 800 = $1600

As a result, $1600 is the answer to the problem equation comes out to be stated problem, which is the estimated rent.

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A simple random sample of 32 men from a normally distributed population results in a standard deviation of 12.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normalâ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.

Required:
Identify the null and alternative hypotheses.

Answers

Answer:

Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute

Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute

Step-by-step explanation:

The null hypothesis is basically the problem statement i.e

Pulse rates of men have a standard deviation equal to 10 beats per minute

Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute

The alternate hypothesis will contradict or negate the null hypothesis i.e

H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute

what is the average of 12 14 and 16​

Answers

Answer:

15

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

to find the average, add the numbers together, then multiply by the quantity.

12+14+16=42

42/3= 14

14 is the average

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Please solve this problem and I’ll give brainliest

Answers

Answer:

I am pretty sure that the answer is d

Step-by-step explanation:

WILL MARK BRAINLIEST!

To the nearest tenth, the perimeter of the rhombus is ___ units long.

Answers

Answer:

28.84 units

Step-by-step explanation:

using Pythagorean's Theorem, and halving both 8 and 12, we can find the length of the hypotenuse of on of the triangles. Once we find that length. we multiply it by 4 to complete the total perimeter.

What are the requirements for an experiment to be able to show that changes in one variable cause changes in another?

Answers

Answer:

A variable is anything that can change or be changed. In other words, it is any factor that can be manipulated, controlled for, or measured in an experiment.

There are three main variables: independent variable, dependent variable and controlled variables.

A relationship between two variables whereby a change in one coincides with a change in the other is referred to as causality.

Step-by-step explanation:

please mark this answer as brainliest

write the first five terms of the sequence.. NO LINKS!!!​

Answers

Answer:

5,50,500,5000,50000

Step-by-step explanation:

The first term is given

a1 =5

The second term is when n=2

a2 = 10 * a1 = 10 * 5 = 50

The third term is when n=3

a3 = 10 * a2 = 10 * 50 = 500

The fourth term is when n=4

a4 = 10 * a3 = 10 * 500 = 5000

The fifth term is when n=5

a5 = 10 * a4 = 10 * 5000 = 50000

help thanks !!!!!!!!!!!!!!!

Answers

Answer:

ASA

Step-by-step explanation:

The hash marks are telling which sides are congruent and the angle mark is telling us that those angles are congruent.


Find the distance between the two points rounding to the nearest tenth (if necessary
(-8,0) and (1,7)

Answers

9514 1404 393

Answer:

  11.4

Step-by-step explanation:

Put the given coordinates in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130

  d ≈ 11.4 . . . . units

The distance between the two points is about 11.4 units.

Henrie plays baseball. He hits 80% of the time he bats. If he is up to bat 20 times this weekend at his baseball tournament, how many times is he expected to hit

Answers

Answer:16

Step-by-step explanation: If henry hits 80% of pitches, then the easiest way is to make 80% of 10, which is half of 20, is 8. So if it is 20 times he is up to bat, then 8*2, 2*8 is 16, so he hits the ball 16 times.

In parallelogram ABCD, the measure of angle B is 107°.
(a) What is the measure of d
(b) What is the measure of a

Answers

D= 107
A= 73
here you go

50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. If we use a double-sided coin and assign heads as females and tails

Answers

it wouldn’t change and the coin would have an equal chance

no links please
please quick!

Answers

Answer:

25%

Step-by-step explanation:

3/12 kids read over 9.5 hours

3 x 4 is 12

from percents, 25, 50, 75, 100

so it would be 25%

In the figure below, x = 25.
What is the value of y?
65
130
140

Answers

Answer:

130

Step-by-step explanation:

25 + 25 = 50

180 degrees on a strait line so 180 - 50 = 130

Answer:

65

Step-by-step explanation:

x + y = 90

x is given as 25 so replace 25 instead of x then

=> 25 + y =90

=> y = 90-25

=> y = 65

find the suitable rearrangement for 1+2+3+4+896+897+898+899​

Answers

Answer:

steps below

Step-by-step explanation:

1+2+3+4+896+897+898+899

= (1+899)+(2+898)+(3+897)+(4+896)

= 900 + 900 + 900 + 900

= 3600

Use the integers that are closest to the number in the middle.√38

Answers

Answer:

6 < √38 < 7

Step-by-step explanation:

6 squared is 36, which is right under 38 and 7 squared is 49, meaning 7 is the first number right above it. This means that:

√36 < √38 < √49

6 < √38 < 7

Determine if the following is true: if sin^2x cos^2x=1, then sinx+cosx=1

Answers

Answer:

true

Step-by-step explanation:

Which of the following numbers is the slope of the line tangent to the curve y=x2+5x at x=3?

Answers

Y-f(a)=f’(a)(x-a)
Y-24=11(x-3)

Suppose that three microchips in a production run of thirty are defective. A sample of five is to be selected to be checked for defects. (a) How many different samples of five can be chosen from the production run of thirty? 142506 Correct: Your answer is correct. (b) How many samples will contain at least one defective chip? The set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are disjoint Correct: Your answer is correct. sets. So, the number of samples with at least one defective chip is . (c) What is the probability (as a percent) that a randomly chosen sample of five contains at least one defective chip? (Round your answer to one decimal place.) %

Answers

Answer:

a) 142506

b) 61776

c) 0.4333

Step-by-step explanation:

Given

Three microchips in a production run of thirty are defective

The probability of having a defective microchips is 3/30 = 0.1

Probability of having a good microchip is 0.9

a) Possible ways of selecting five sample =  

30C5

30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506

b) With one defective microchip  

Total sample – sample without any defective microchip  

142506 – 37C5

142506 – 80730

61776

c) Probability = 61776/142506 = 0.4333

Please help with homework

Solve

2(x+4)=3(-2+x)

Answers

Answer:

x = 14

Step-by-step explanation:

2(x + 4) = 3( -2 + x)  distribute the 2 and the 3.

2(x) + 2(4) = 3(-2) + 3(x)

2x + 8 = -6 + 3x  Subtract 2x from both sides

2x - 2x + 8 = -6 +3x -2x

8 = -6 +x  Add 6 to both sides

8 + 6 = 6 - 6 + x

14 = x

i will give brainles

Answers

Answer:

24

Step-by-step explanation:

6 times 4 = 24

Answer:

24in^2.

Step-by-step explanation:

Multiply the length times the width. 4*6=24.

Whats the sum of p 3/4

Answers

The sum oh p 3/4 should be 3.333

list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12

Answers

The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

What is a number line?

A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.

The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.

Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

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8z = 4x - 32

Please explain step by step

Answers

The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.

1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.

Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.

Help me with this question please! NO FILES!

Answers

Answer:

56

Step-by-step explanation:

Answer:

54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye

Step-by-step explanation:

Please answer correctly for brainliest

Answers

Answer:

oki! mizuki here to answer and help!

The answer will be 19/10 or 1 9/10

Step-by-step explanation:

Soo... let's simplify 1 2/5 first.

The simplified version of 1 2/5 is 7/5.

and we solve the equation!

since there are two negatives, turn it into a plus!

7/5 + 1/2

5 x 2 = 10      2 x 5 = 10

7 x 2 = 14       1 x 5 = 5

so...

14/10 + 5/10 which will be 19/10, or 1 9/10

The question should be find the answer, not the difference ngl.

The radius of a cylinder is 3 cm and the height is 6
Find the volume.
O 9611
O 5411
0 2511

Answers

Answer:

Volume = πr²h

= π x 3² x 6

= 54π

Option B

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