Mathematics Middle School

The graph shows two lines, A and B.

Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.

Part B: What is the solution to the equations of lines A and B? Explain your answer

The Graph Shows Two Lines, A And B.Part A: How Many Solutions Does The Pair Of Equations For Lines A

Answers

Answer 1

Answer:

A: 1 solution

B: (4,4) is the solution

Step-by-step explanation:

They have different slopes so they're already different equations and because of that, they can only have one solution.

The intersection of the two lines is the solution since those coordinates satisfy both equations.

Answer 2

Answer:

Part A

The solutions of a graphed pair of equations are the points of intersection - the points on the graph where the two lines cross each other.  At this point, when inputting the same x-value into the 2 equations, the resulting y-values will also be the same.

Therefore, from inspection of the graph, there is one point of intersection, and so one solution.

The name for a system that has one solution and intersects at one point is Consistent Independent

Part B

From inspection of the graph, the point of intersection is (4, 4).

Therefore, the solution to the equations of line A and B is (4, 4).

Proof

Equation of line B:  y = xEquation of line A:  y = -0.5x + 6

Using substitution:

⇒ x = -0.5x + 6

⇒ 1.5x = 6

⇒ x = 4

Substituting the found value of x into one of the equations to find y:

⇒ y = 4

Therefore, the solution is (4, 4)

Related Questions

Find x, the missing side length of the right triangle

Answers

The answer should be 16

Answer:

[tex] \sqrt{277} [/tex]

Step-by-step explanation:

[tex]x { }^{2} = 9 {}^{2} + 14 {}^{2} \\ \sqrt{x {}^{2} } = \sqrt{14 {}^{2} + 9 {}^{2} } \\ x = \sqrt{277} [/tex]

Find the product. Write your answer as a decimal.

Answers

This is multiplication:


-1.6 x -7.1 = 11.36


Answer: 11.36

PLEASE HELP I WILL GIVE 20 POINTS!

Answers

Answer:

it says there are only 10, not 20?

Step-by-step explanation:

Given that the base of the triangle is 12ft, and the hypotenuse is 37ft, the missing side is 35ft.
Since L is a square, all the sides will be 35ft
Area = length squared
Area of square L = 35ft^2 or option b

The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.







The function P gives the percent of voters between 18 and 29 years old that participated in the election in year t.



Determine the average rate of change for P between 1992 and 2000.



Do not include units (%) in your answer.



Round your answer to the nearest thousandth.

Answers

Answer:

2,4

Step-by-step explanation:

The average rate of change for P between 1992 and 2000 is -1.025.

What is Average rate of change?

Average rate of change function is the average rate by which a quantity is changed with respect to another quantity.

It can be calculated as the amount of change in a quantity divided by the amount of change in another quantity.

Average rate of change for a function 'f' in the interval [a, b] is,

A = [tex]\frac{f(b) - f(a)}{b - a\\}[/tex]

Here P is the function which is the percent of voters between ages 18 and 29 in the interval 1992 to 2000

Average rate of change for P = P(2000) - P(1992) / 2000 - 1992

A = [34.5 - 42.7] /[2000 - 1992]

A = -8.2 / 8

A = -1.025

Hence, the average rate of change for P between 1992 and 2000 is -1.025.

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A spinner with four sections is spun 30 times.
Color Number of times
Red 7
Yellow 8
Blue 6
Green 9

Based on these results, what is the experimental probability that the next time the spinner is spun, it lands on green?
A. 1/5
B. 3/10
C. 4/15
D. 7/30

Answers

Answer:

3 / 10

Step-by-step explanation:

Total = 30 times

n ( T ) = 30

Green = 9

n ( G ) = 9

To find : Probability of Green [ P ( G ) ]

Formula : -

P ( G ) = n ( G ) / n ( T )

P ( G ) = 9 / 30

9 = 3 x 3

30 = 3 x 10

P ( G ) = ( 3 x 3 ) / ( 3 x 10 )

P ( G ) = 3 / 10

Hence,

the experimental probability that the next time the spinner is spun, it lands on green is 3 / 10.

B
If it landed on green 9/30 times that is the ratio.
3/10= 9/30

At a store, Susan selected a pumpkin that weighed 47.2 ounces.

Pumpkins cost $1.80 per pound.
There are 16 ounces in 1 pound.
How much did Susan’s pumpkin cost?

Answers

$3.60 but There is so extra ounces but not enough to make 16 so I put it to extra change make it like four dollars I guess that’s what I would write on a test if I was doing it

4. Each pail of plaster covers 90 square feet of ceiling. What is the least number of pails of plaster you would need to buy to cover the ceiling of a square room with walls 14 feet long?

5 pails
6 pails
4 pails
3 pails

Answers

Answer d: 3 pails


The area of the ceiling:
A = 142 = 196 f2
We need plaster to cover 196 $2
196: 90 = 2.17778
Answer: We have to buy 3 pails of plaster

Answer:

3 pails

Step-by-step explanation:

I did this one on a diferent one lol

-lukelaws

Hope I helped If I did please mark me brainliest if I got it wrong sorry!

Help me with math please
A cone has a slant height of 15 cm and a height of 12 cm.
What is the radius of the cone?

cm.
What is the volume of the cone?

cubic centimeters.

Answers

Answer:

The answer to your question is 9 cm

Step-by-step explanation:

Data

slant height = 15 cm

height = 12 cm

radius = ?

Process

To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.

            c² = a² + b²

          slant height² = height² + radius²

-Solve for radius

          radius² = slant height² - height²

-Substitution

          radius² = 15² - 12²

-Simplification

           radius² = 225 - 144

           radius² = 81

-Result

           radius = 9 cm

Express x in terms of y! Find the value of x when y =5
2(x - 3)/y =5​

Answers

Hey there!

2(x - 3) / y = 5

2(x - 3) / 5 = 5

2(x) + 2(-3) / 5 = 5

(2x - 6) 5 = 5

MULTPLY 5 to BOTH SIDES

(2x - 6)/5 * 5 = 5 * 5

SIMPLIFY IT!
2x - 6 = 5 * 5

2x - 6 = 25

ADD 6 to BOTH SIDES

2x - 6 + 6 = 25 + 6

SIMPLIFY IT!
2x = 25 + 6

2x = 31

DIVIDE 2 to BOTH SIDES

2x/2 = 31/2

SIMPLIFY IT!

x = 31/2

x = 15 1/2


Therefore, the answer should be:

x = 15 1/2


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Answer:  15 1/2

Step-by-step explanation:

Help me please!!!!!!?!!!

Answers

25 because 54-29=25

5 because 30/6=5

10 because 45-35=10

21 because 7x3=21
25, 10, 5, 22are all the answers in order

I need help on a McGraw hill assignment its due soon pls help.

Answers

Answer:

1850

Step-by-step explanation:

The problem is asking you how many kids (predicted by the superintendent) will buy lunches for 1-2 days. Since you know the percentage predicted and the student amount, just multiply as a decimal (convert by putting the number over 100 as a fraction.)

5000*0.37=1850

1850 is the correct answer.

PLEASE HELP ASAP

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

INSTRUCTIONS IN PHOTO

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I HAVE ANOTHER QUESTION YOU CAN HELP WITH, ITS SIMILAR TO THIS

Answers

Answer:

4) 10.5 m.  5) 7 1/3   6)6m

Step-by-step explanation:

5 might be inaccurate (as i am doing mental math) but 4 and 6 are definently right :)

4) 7 times 1 1/2 = 7 times 1 = 7
7 times 1/2 equals 7/2 or 3 1/2
add 7 and 3 1/2
answer is 10 1/2cm

5) 5.5 divided by 1.5
1.5 times 3 equals 4.5
1 divided by 1.5 equals .6
3 plus .6 equals 3.6
3.6 times 2 equals 7.2in

6) 9 divided by 3 equals 3
so 3 times 2 equals 6m

Find the angle measure for 2. And 3.

Answers

2. the answer is 90° the angle

3. the answer is 60° the angle

2. The angle is 90 degrees

3. The angle is 60 degrees

Heeeeeeeeeelp please an if you can answer this then please go on my profile and answer my other question!

Answers

Answer:V = 107.52

Step-by-step explanation:

V = whl = 4.87•7•3.2 = 107.52

V = 107.52

HOPE ITS HELP

AND MARK ME AS BRAINLIST

Step-by-step explanation: the answer is 53.76 because first of all to find the answer you need to multiply 0.5 or 1/2 times 3.2 times 4.8 times 7 getting an answer of 53.76 cm^3 so hopefully that is the correct answer and have a great day.

Andy is reading a 90-page book. He has already read 60 pages. He reads 30 pages per hour. How many hours will it take Andy to finish reading the book?
A.30
B.3
C.2
D.1

Answers

Answer:

d

Step-by-step explanation:

60+30(1 hr)

=90

90 pages in the book

so d.

Answer:

The correct answer is D) 1

Step-by-step explanation:

There are 30 remaining pages for Andy left to read. We know he reads 30 pages per hours, therefore, he will be finished reading the book in an hour.

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores below.
−3.75, 1.5, 4.25, 0.75, −4.25, −1.5
Find the mean score. Write your answer as a decimal.
The mean score is (BLANK)

Answers

Answer: The mean rate given by customer is -1.25

Step-by-step explanation:  We are given the following in the question:

-3.5, 4, 4.5, -5.25, -4, -3.25, -4.25, 1.75

Formula:

Putting values, we get,

Thus, the mean rate given by customer is -1.25 you may mark brainliest

PLEASE HELP ME OUT TY!!!!!!

Answers

D. Good luck .))):):)/$/&3!3

Edward has 18 apples and 16 oranges to share. He has 26 friends in his class. He wants to give each friend one fruit. How many fruits will he have left for himself?

Answers

Answer:

he' ll have 8 fruits left

Step-by-step explanation:

18 + 16  =  34 ,  34-26 = 8

Answer:

the answer is 8

Step-by-step explanation:

u do 18 +16 which equals 34 then u minus how many friends he has by 34 because each friend got only one so u minus that and it equals 8

Which equation has the same unknown value as 2.65 - ? = 0.63?

2.65 - 0.63 = ?

? - 0.63 = 2.65

2.65 + ? = 0.63

0.63 - ? = 2.65

(100 points) PLS I NEED ASAP WILL GIVE BRAINLIEST

Answers

1) 2.65 - 0.63 =2 .02

2) 3.28 - 0.63 = 2.65

3)2.65 + -2.02 = 0.63

4) 0.63 - 3.28 = 2.65

1) 2.65 - 0.63 =2 .02

2) 3.28 - 0.63 = 2.65

3)2.65 + -2.02 = 0.63

4) 0.63 - 3.28 = 2.65

Sorry for the long wait but hopefully this helps <3

HELP AND HURRY This spinner is spun one time. What is the probability of the arrow not landing on a section with an odd number?

Answers

Answer:

3/7

Step-by-step explanation:

there are 7 sections total. 1,3,5, and 9 are all odd. so, there are still 3 sections left where there there are even numbers (4,6, and 8.) 3+4=7.

3 out of the 7 sections are even. D.

D. 3/7 because once you count up all the non-odd numbers (the even numbers) you get 3 and put that on top the chances of everything and you get 3/7

Please give step by step explanation and answer,

Answers

Answer:it would be C.

Step-by-step explanation:

6-(-6)=12 and 5-(-3)=8, so if you put it in the fraction, it would end up as 3/2.


3-(-3)=6 and 3-(-1)=4, and 6/4 simplified is 3/2. If both slopes are 3/2, then they would be parallel, showing that the two lines have the same slope. Another way to prove is that 3/2=3/2 is true

One year, the population of a city was 51,000. Several years later it was 44,880. Find the percent decrease.

Answers

12%

Make a note saying what 1% of the number is (dividing by 100)

And 10% (dividing by 10)

And make other notes of what the percentages are if you want

10% is 5,100 and 1% is 510

You can also do what the other person said and do 51,000 - 44,880 and add the percentages.

Hope this helps

The percent decrease in the population is 12%

What is a percent?

Percentages are essentially fractions where the denominator is 100.

Given that, the population of a city was 51,000. Several years later it was 44,880.

We are asked to find percent decrease,

Percent decrease = Final element - initial element / initial element x 100

Percent decrease = 44880 - 51000 / 51000 x 100

= -6120 / 51000 x 100

= --0.12 x 100

= -12%

Here, - sign is showing the decrease.

Hence, the percent decrease in the population is 12%

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CAN SOMEONE PLEASE HELP!!

Answers

Answer:

Its the very top one

Step-by-step explanation:

Top as each of the units is moved left 1 and down 6 just like what is asked in the question.

Can you do this ASAP PLEASE THANK YOU

Answers

Do what exactly because I don’t know what to do if you don’t tell me so please tell me

20 POINTS FOR PART B)
The number of toys owned by eight classmates is shown below:
4, 3, 4, 5, 6, 6, 8, 4

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Part A:

The mean of the data is 5 because you add all the numbers otgether then divided it by 8 (the number of classmates). 4 + 3 + 4 + 5 + 6 + 6 + 8 + 4 = 40 then divided by 8 is 5.

Answer is 5
Hope this helped

solve using the attached picture
Thanks in advance

Answers

Answer:

letter b

Step-by-step explanation:

Whats the answer? Mathematics

Answers

Answer:

A rectangle

Step-by-step explanation:

graph the points

A Rectangle A Rectangle A Rectangle

Can you please help me with my question I appreciate it thank you and bye!

Answers

you just need to count them, so 3/36 or 1/12
It’s 3/36 but if you need it simplified it’s 1/12

The mean of all five numbers is 168. Find the missing number!

Answers

Answer:

205 bones

Step-by-step explanation:

Add all bones and let the unknown be x

(250+199+85+101+x)/5=168

(635+x)/5=168

Cross multiply

168*5=635+x

840=635+x

840-635=x

x=205.

That's all

205 is the last number

10. Select all true statements.

A. All rectangles are squares.
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
F. All trapezoids are parallelograms.

Answers

Answer:

its B and E

edit: i forgot C

Step-by-step explanation:

Answer:

Its B, C, E Are the answers!

Step-by-step explanation:

-lukelaws

Hope I helped if I did please mark me brainliest I need one more!

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