Mathematics Middle School

What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)

Answers

Answer 1

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

Related Questions

what equations are equivalent to 3(5x+4)=12x+18

Answers

Answer:

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Use the best-fit line below to predict the value of y when x = 7

Use the best-fit line below to predict the value of y when x = 7

Answers

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

The answer to the question is 6

The table shows the multiplication of two linear expressions. Select the correct reason for each step.


Reason 1:

Reason 2:

Reason 3:

Reason 4:

The table shows the multiplication of two linear expressions. Select the correct reason for each step.Reason

Answers

Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

The only way to do it is if you are in the t

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

help please I'll mark brainliest

help please I'll mark brainliest

Answers

Answer:

q1 -10

q2c

Step-by-step explanation:

q1-10=
2qC is the answer

What is 55 inches in feet?

Answers

Answer:4.58333

Step-by-step explanation:

55 inches is 4.58333 feet

Evaluate using the order of operations

Evaluate using the order of operations

Answers

Answer:

Step-by-step explanation:

First, you have to solve it with parenthesis, where the answer is one, then multiply them by 6= 6. The answer is 4.

4/5+2/10= 1
6•1•2/3=
2•1•2= 4

Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.

Create another scale drawing of the window frame that uses a scale of 1 cm to 12 inches.

Answers

Answer:

its 10

Step-by-step explanation:

bc I like don't know

Answer: it could be 2cm,3 inches or 1cm, 6inches or 1cm, 12inches

Step-by-step explanation:

so draw a rectangle with the 1cm, 12inches like the one 1cm, 6inches just 2xthat their factors in the scale uint

HELP ASAP!!!!!!!!!!!!!!!!

HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

52

Step-by-step explanation:

angle RQS=180-90-34=90-34=56

and then

180-56=x+72

124=x+72

x=52

Therefore, based on the exterior angle theorem, the value of x is: 52

Mike has a poster that he wants to copy onto a mural at school. The dimensions of the poster are shown. If Mike doubles the dimensions of the poster, what will be the area, in square feet, covered by his copy?

Mike has a poster that he wants to copy onto a mural at school. The dimensions of the poster are shown.

Answers

Answer:

34

Step-by-step explanation:

Answer:24
Explanation:

Need answer as fraction or however it is, need asap

Need answer as fraction or however it is, need asap

Answers

b^45 because you take 15 * 3 which is 45

Answer: 1 byte45 or 1^45

Step-by-step explanation:

Caitlin is making oatmeal cookies
She wants to make 1 1/2 batches
Each batch of cookies requires 2 1/2 cups of oatmeal
She has 3 1/4 cups of oatmeal
How many more cups of oatmeal does Caitlin need?

Answers

Answer: She needs 1/2 a cup of oatmeal

Step-by-step explanation:

step 1. turn the 2 1/2 into a decimal to get 2.5

step 2. divide the decimal in half to get 1.25

step 3. add 2.5 + 1.25 = 3.75

step 4. take that answer and subtract it by how much oatmeal you have (3.25) to get 0.5       this means that you need half a cup of oatmeal to make 1 1/2 batches of oatmeal cookies

Answer:

1/2 cups

hope you like it : )

Part A
The table shows the cost of 4 tickets at two different laser tag facilities.


Laser Tag Facility Cost ($)
LaserFun 25
Laser Tag & More 27

What equation can be used to model the total cost, y, for x tickets at Laser Tag & More? Write the equation in the form y=kx .

Part B
Fill in the blank question.
The total cost of 7 tickets at Laser Tag & More is $
.

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

Part A:
27/4= $6.75 per ticket
y=6.75x

Part B:
Take the equation from part A and replace x with 7.
y=6.75(7)
y=47.25
The total cost is $47.25

Pablo has 20 balloons for his party. He will either take 2 for a stack or 3 for a stack. How many more stacks will Pablo need if he takes 3 on each stack?

Answers

I think 7. (Please tell me if I got this one wrong!)
the answer is seven.

factorise 2d^2-98 completely​

Answers

Answer:

Hello,

2 (d + 7) (d - 7)

Step-by-step explanation:

2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)

a² - b² = (a + b) (a - b)

2 (d² - 7²) = 2 (d + 7) (d - 7)


2(d^2-49)


2(d-7) x (d+7)


This graph represents a linear function


select the equation represented by the graph​

This graph represents a linear function select the equation represented by the graph

Answers

It would be option B,
Y=4/1x -1

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.

In our case,

m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1

This graph represents a linear function select the equation represented by the graph

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?

-Yes, y = 2x.
-Yes, y = 20x.
-No, y = x + 10.
-No, y = x + 20.

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y,

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes y=20x

Step-by-step explanation:

Because each time the number on the y axis goes up 20.

In the product of 3.64 and 0.5, there should be _____ digits to the right of the decimal point.
four
one
three
two

Answers

Four hope this helps

Norma has a credit card that uses the adjusted balance method. For the first
10 days of one of her 30-day billing cycles, her balance was $1850. She then
made a purchase for $160, so her balance jumped to $2010, and it remained
that amount for the next 10 days. Norma then made a payment of $930, so
her balance for the last 10 days of the billing cycle was $1080. If her credit
card's APR is 29%, which of these expressions could be used to calculate the
amount Norma was charged in interest for the billing cycle?

Answers

I’m pretty sure its 24.41 ?? Sorry if it’s wrong

The solution is : The amount Pearl was charged in interest for billing cycle = $19.8

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

here, we have,

Starting balance of Pearl for first 10 days of her 30 days billing cycle =$1120

Purchase made = $ 340

Total Balance after purchase made = $1120 + $340

                                                          = $1460

Payment made after 10 days = $580

Balance for last 10 days = $1460 - $580

                                       = $880

Credit Card APR = 27% Annually

Credit Card APR = 2.25% monthly.

Amount charged as an interest for billing cycle = 880 × 2.25%

                                                                              = 880 × 0.0225

                                                                              =  $19.8

Hence, The amount Pearl was charged in interest for billing cycle = $19.8

To learn more on interest click:

brainly.com/question/29335425

#SPJ5

complete question:

Pearl has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her balance was $1120. She then made a purchase for $340, so her balance jumped to $1460, and it remained that amount for the next 10 days. Pearl then made a payment of $580, so her balance for the last 10 days of the billing cycle was $880. If her credit card's APR is 27%, which of these expressions could be used to calculate the amount Pearl was charged in interest for the billing cycle?

Please helpp!! Ty ty!♡♡

Please helpp!! Ty ty!

Answers

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Answer:     25

Therefore,  4a  +   12   -   2c   +   c  =   25

Step-by-step explanation:

       a  =   4  

       c  =   3

Swap letters for numbers:

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

Hence your answer is:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!

PLEASE HELP!!!
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10 2/3 pages? Complete the rate table to solve the proportion.

pages---> 4/3=32/3
hours---> 1/4 = x

Lee can type 10 2/3 pages in _________ hours.
a. 1 3/4
b. 2
c. 2 1/4
d. 2 1/2

PLEASE HELP!!! Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10

Answers

Answer:

First, we know that:

1 1/3 = 4/3

10 2/3 = 32/3

15 minutes = 0.25 hours

Let's imagine that x (hours) is the time it takes Lee to type 32/3 pages.

From the information, we can tell that:

Lee can type:

4/3 pages in 0.25 hours

32/4 pages in x hours

So x should be:

x = (32/4 . 0.25)/4/3 = 2 (hours)

So it takes Lee 2 hours ro type 10 2/3 pages

Step-by-step explanation:

The points on the graphs represent relations. Classify these relations according to whether or not they are functions. (3)

The points on the graphs represent relations. Classify these relations according to whether or not they

Answers

Answer:

here

Step-by-step explanation:

Answer:1 and 2 is a function. But the third one isn't. explanation: When there is more than one point on a vertical line that is not a function.

A bottle contains liter of water. If it is poured equally into four cups, 1/3 how much water will be in each cup? Which of the following statements are true?

a. ⅓ must be divided into fourths.

b. After dividing ⅓ into four equal parts, the whole has twelve equal parts.

c. Each cup will have ¼ liter of water.

d. I can’t find the answer because I don’t know the size of the cups.

Answers

A. Because that is equal

Solve for the indicated variable. Show your work. Rewrite the equation so y is isolated. y=9x + y = 7 ; y

Answers

Sowwy I do not know it:(

Deepah has saved $120 toward the purchase of her first car and figures she is 5% of the way toward the purchase of a new car. How much more money does Deepah need to save to be able to buy the car?

Answers

Deepah needs to save $2,280

5% of 2400=120
2400-120=2,280
120 is 5% of 2400 so the answer is = 2400

е The solid shown below is made by combining two rectangular prisms. What is the volume of the solid?

A. 60 cubic inches
В. 120 cubic inches
C. 216 cubic inches
D. 48 cubic inches​

The solid shown below is made by combining two rectangular prisms. What is the volume of the solid?

Answers

A 60 cubic inches because you have to split the prism in two and multiply the number by each other
The answer is
A. Sooo yeah 60cubic inches

Every time Carrie bakes a batch of brownies, she uses 1/8 cup of chocolate. If she has 1/2 cup(s) of chocolate remaining, how many batches of brownies can Carrie make? Input your answer as a whole number.

Answers

1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)

Step-by-step explanation:

Answer: 4

Explanation: 1/8 + 1/8 + 1/8 + 1/8= 1/2

help pls im giving brainly
show your work too pls

help pls im giving brainly show your work too pls

Answers

Answer: radius is 3/8 and circumfrance is 3/4

Step-by-step explanation:

9/64pi=r^2pi

/pi             /pi

9/64=r^2

root9/64 rootr^2

3/8=r

Circumfrance= r*2

circumfrance= 3/8*2

Circumrance= 3/4

Antoine wrote the expression shown below the value of expression B. is eight times the value of expression A. Without evaluating expression A, determine what number belongs in the box in expression b explain how you determine this number

Answers

Answer:

B = 8A

Step-by-step explanation:

If B = 8 × A

Then B÷8=A

uuhhh help me out please?

uuhhh help me out please?

Answers

First and third options are correct
A and c I’m pretty sure :)
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