Wendy and Jason, the boy she was babysitting, were playing basketball together. Her score
was 30 points, and his score was 20 points. Wendy wanted to make the game more fair, so
she called a time-out and modified the rules a bit. Wendy explained that, for the rest of the
game, she would get 2 points per basket, and Jason would get 3 points per basket. Then they
played a bit longer. After the time-out, they both made the same number of baskets and
ended up with a tied score. How many points did each person have at the end?
Write a system of equations, graph them, and type the solution.

Answers

Answer 1

Answer:

They both scored 50 points

Step-by-step explanation:

2x + 30 = 3x + 20

(Combine like terms)

-x = 20 -30

-x = -10

x = 10


Related Questions

-5c+5c+2c–6c–12c-16 16=c

Answers

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

PLEASE HELP ME!!!!!!

Answers

Answer:

This is the graph. The 5 points you can plot can be:

roots: (-6, 0) and (-2, 0)

vertex: (-4, -4)

two other random points to complete the 5 points:

(-5, -3) and (-3, -3)

I wrote a cheque for $10 and he threw my 2 dollar how much do I have left​

Answers

Answer:

you have $ 8

Step-by-step explanation:

cheque wrote ,=$10

and he threw =$2

then total $ left will be $8

please mark me brainleast

(3/5) + (-6/7)+(-2/5)+(3/14) find

Answers

Answer:

[tex] \frac{ - 31}{70} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]

[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]

[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]

[tex] = \frac{57 - 88}{70} [/tex]

[tex] = \frac{ - 31}{70} (ans)[/tex]

Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)

Answers

Answer:

46.875

Step-by-step explanation:

A= l x w x h so you multiple all three numbers together and get your answer

If Caleb bought 1.2 pounds of cheese that was selling for 5.95 per pound. How much did Caleb pay for the cheese.​

Answers

Answer:

$7.14

Step-by-step explanation:

If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14

Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,

Total Amount = $5.95/pound × 1.2 pounds

                       = $7.14

hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Please I need help ASAP, I don’t understand anything and it’s due tomorrow

Answers

Answer:

Alright, here we go.

11. Those are vertical angles.  All vertical angles are equal.

6x + 7 = 8x - 17

2x = 24

x = 12

12. Those are linear angles (adjacent angles on a line).  Linear angles = 180.

(11x - 15) + (5x - 13) = 180

16x - 28 = 180

16x = 208

x = 13

13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°.  ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.  

(5x - 42) + (2x - 1) = 90

7x - 43 = 90

7x = 133

x = 19

14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS.  If PQR = 82°, angle PQS = 41°

10x + 1 = 41

10x = 40

x = 4

15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles.  Angle (x + 10) and angle (10x - 61) are linear  angles, so they equal 180.

(x + 10) + (10x - 61) = 180

11x - 51 = 180

11x = 231

x = 21

As for y, insert 21 as x for (10x - 61).  

10(21) - 61

210 - 61

149

(18y + 5) should also equal 149° bc of vertical angles.

18y + 5 = 149

18y = 144

y = 8

x = 21

y = 8

(16 is crossed off so I'm going to assume you're not doing that one.)

17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of  (4x + 6)°.  Now, we were told that angle PNQ = 78°.

4x + 6 = 78

4x = 72

x = 18

This means that angle MNQ = 78 x 2, which is 156.

Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:

(3y - 9) + 156 = 180

3y - 9 = 24

3y = 33

y = 11

x = 18

y = 11

(This took a while.)

An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?

Answers

Answer:

The loss percentage is 37.5%

Step-by-step explanation:

Cost Price = 500 × 100/125 = 400

New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150

Loss percentage = 100 × 150/400 = 37.5%.

2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

Please answer fast step by step. I will mark the best answer as brainliest. ​

Answers

Answer:

Step-by-step explanation:

[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]

[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]

Evaluate the following expression

Answers

H ;-)

x = -3 and y = -2

2x² - 5xy - y³ =

= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =

= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =

= -12 + 8 = -4

Answer:

[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]

Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)

Answers

Answer:

Than would

Step-by-step explanation:

since he has the lowest weight then the alcohol concentration has less place to go making his higher.

Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?

Answers

Answer:

yesjndndkkwkdkdndkiskdn

Answer:

3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50

Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = -1/2x - 8

y=-1/2x-8 would be your answer

x^2-y^2-z^2 factorise​

Answers

Answer:

2(x-y-z)

Step-by-step explanation:

take common fromm all of those terms

Picture shown!

If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]

Answers

Answer:

3x^2+6x-11

Step-by-step explanation:

g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11

2a+3 =(6 + 4a)
Is it true or false

Answers

Answer:

false

I hope it's helps you

Answer:

[tex]2a + 3 = (6 + 4a) \\ \\ it \: is \: false[/tex]

the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)

Answers

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

What is the mean of the data set rounded to the nearest tenth?


0.7 1.1 0.8 1.6 1.6 2.2 1.1

Answers

Answer:

1.3

Step-by-step explanation:

Mean is the average of data set:

μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3

Mean

[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]

[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]

[tex]\\ \rm\leadsto 1.3[/tex]

Which angle between –180° and 0 has the same cosine value as 275°

Answers

Answer:

cos (-85°)

Step-by-step explanation:

[tex] \cos(275 \degree) [/tex]

since cosine is in fourth quadrant:

[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]

-85° is the angle between –180° and 0° that has the same cosine value as 275°.

What is cosine?

Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.

Mathematically,

            Cos = Base/Hypotenuse

Now, to calculate cos(275) we have to first determine the quadrant of the given angle.

Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.

In the Quadrant IV, the values of cos are always positive.

275 is an obtuse angle so we can write,

Cos(275) = Cos{360+(-85)}

∵ Cos(360+θ) = Cosθ

∴ Cos{360+(-85)} = Cos(-85)

Cos(275) = Cos(-85)

The required answer is cos(275) = cos(-85)

Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.

More about cosine function :

https://brainly.com/question/26818966

#SPJ2

how do you find a positive/negative interval?

Answers

Answer:

we need to see that weather it is in positive form or negative form

positive means add

negative means subtract

20 labourers complete the construction of a building in 24 days.in how many days would 16 labourers complete the work in 12 days ?​

Answers

Answer:

Step-by-step explanation:

Please answer this ASAP NO PHOTOS PLEASE

Answers

Answer: 1cm cubed

Step-by-step explanation:

Cube Formula = L x W x H

= 1 x 1 x 1

= Volume of cube

= 1cm cubed

i need help asap can one of yall help me !

Answers

Answer:

(2,-1)

Step-by-step explanation:

if (y-b)÷(x-a)=m, then x is equal to

Answers

Step-by-step explanation:

[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]

What’s m=y2-y1 divided by x2-x1 for Y2

Answers

Answer:

slope formula

Step-by-step explanation:

Evaluate the expression

(x + 3)(y - 2) , if x = -2, and y= 6

Answers

Answer:

The answer is 4

Step-by-step explanation:

Given,

[tex]x=-2,\,y=6[/tex]

Now, the expression

∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]

hope you have understood this...

pls mark my answer as the brainliest

Which of the following is a point of tangency on the circle below?

Answers

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

Use the story graph of each problem to fill in the blanks of the following sentence frames below.

In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

Answers

I DONT KNOW WHAT THE ANSWER IS REALLY

Please help!
3x – 4 = = 35

Answers

Answer:

13

Step-by-step explanation:

3x13-4=35 Hope this helps

Step-by-step explanation:

Hope it helps.

Thank you



The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.

Answers

Answer:

Hello! The answer to this problem is Length= 27 and Width= 8

Step-by-step explanation:

2(11+2x) +2x = 70

6x + 22 = 70

6x = 48

x = 8

Answer:

Length = 23 feet and width = 12 feet.

Step-by-step explanation:

The width (W) = x and the length (L)  is x+11 feet   (length must be longer than width).

Perimeter = 2W + 2L = 70

2x + 2(x + 11) = 70

2x + 2x + 22 = 70

4x + 22 = 70

4x =- 70 - 22 = 48

x = 12 = width

So length = 12 + 11 = 23.

Other Questions
-3/10q - 8/5q + 9 = 10Solve for q What is the equation of a circle with center -4, 7 and radius 6 How can get a cup stain off my Chromebook top? Like I tried everything. And I start school on the 1st of September. Plz help me Why does most of the Canadian population live close to the borderbetween the United States and Canada? Each response must be oneparagraph of 5-10 complete sentences. :( and Why is the United States Canadas #1 trading partner? Which sentence is written in the imperative mood?A. You might be able to create the sculpture without help.B. Would you like to go to the concert with us?C. Ian refused to quit the race despite his pulled muscle.D. After your class, you will return the supplies to the storage closet. What should be considered when revising a research-based informative essay for readability?if adding multimedia would make the essay more entertainingif each body paragraph begins with an effective topic sentenceif there are any unfamiliar words that the audience will misunderstandif more engaging language could be used to maintain audience attention If you are feeling sad, you can make yourself feel better by doing a few simple things. You can take a walk (or get another form of exercise), you can talk to a friend, or you can write down your feelings. Writing down the good things in your life will help too. Doing something good for someone else will also help you feel better. If you still feel a little sad, act happy. It works like magic to make you feel better!What is the CENTRAL IDEA?Question 1 options:Sometimes people feel sad. We're not always happy. Can someone help me with questions 22, 23, and 24 please Ill appreciate it! Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth. The restaurant opens for business at seven oclock, and for the next hour or so, Elisa and the manager hold down the fort, handling all the orders. As the place starts to get busy, other employees arrive. Elisa works behind the counter. She takes orders and hands food to customers from breakfast through lunch. When she finally walks home, after seven hours of standing at a cash register, her feet hurt. Shes wiped out. She comes through the front door, flops onto the living room couch, and turns on the TV. And the next morning she gets up at 5:15 again and starts the same routine.How does the description of Elisas daily routine support the authors claim that the fast food industry seeks out teenage employees? Which of the following types of compounds is unlike the other three? A-waxB-saturated fat C-phospholipid D-polysaccharide Joy drinks 4 bottles of water per day. Each bottle contains16.5 fluid ounces. How many fluid ounces of water doesshe drink per day?a) 66 fluid ouncesb) 68 fluid ouncesc) 660 fluid ouncesd) 680 fluid ounces Milk Souring aChemical Change bPhysical Change 3(x+12)-2=10 Hope you can answer this for me. Thank you so much and have a good day . Organisms need ?to conduct essential life activities write and simplify an expression for the area of the triangle(show step by step) 2 Complete the second sentence so it has a similar meaning to the first. Use three or fourwords, including the word in brackets, as in the example.0 Karen did really well in the test. (highly)Karen ........was highly successful....... in the test.1 The car started to accelerate as we turned the corner. (go)As we turned the corner, the car2 She really didn't expect to inherit so much money. (quite)Inheriting so much money came ...........surprise.3 Evolution is slower during periods of climatic stability. (happens)Evolution ....during periods of climatic stability.4 We didn't get there in time to hear the overture. (soon)We wanted to hear the overture but we didn't get there...5 More or less three-quarters of our students are fee-paying these days. (roughly)These days....... our students pay fees.6 In the USA only a few people have heard of our products. (entirely)Our products are......... in the USA.7 Melinda's attempt to repair the torn curtain wasn't very successful. (rather)Melinda's attempt at curtain repair .....failure.8 Mr Skidmore had a deeper involvement than any of the other directors. (most)Of all the directors, Mr Skidmore was Type two statements. The first reads user input into person_name. The second reads user input into person_age. Use the int() function to convert person_age into an integer. 8. Is it possible to have an object that does not have 360 rotational symmetry? Explain your reasoning. Which option is an isotope with 6 protons and 8 neutrons?A - carbon-14B - oxygen-14C - carbon-8D - oxygen-6