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.

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

Answer:

13

Step-by-step explanation:

3x13-4=35 Hope this helps

Step-by-step explanation:

Hope it helps.

Thank you

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.

I DONT KNOW WHAT THE ANSWER IS REALLY

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

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = -1/2x - 8

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.

Answer:

46.875

Step-by-step explanation:

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

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]

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°.

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

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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.

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

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Answer: 1cm cubed

Step-by-step explanation:

Cube Formula = L x W x H

= 1 x 1 x 1

= Volume of cube

= 1cm cubed

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.

Answer:

slope formula

Step-by-step explanation:

Answer:

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]

Answer:

(2,-1)

Step-by-step explanation:

Answer:

false

I hope it's helps you

Answer:

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

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]

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

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean is the average of data set:

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]

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)

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]

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

Answer:

2(x-y-z)

Step-by-step explanation:

take common fromm all of those terms

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.)

Answer:

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

positive means add

negative means subtract

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%.

Answer:

yesjndndkkwkdkdndkiskdn

Answer:

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