A basketball team scored 78 points in a game. The players made 6 baskets worth 1 point each and 27 baskets worth 2 points each. The rest of the baskets made were worth 3 points each. Which equation can be used to find b, the number of baskets the players made that were worth 3 points each?​

Answers

Answer 1

Answer: They made 6 three point shots.

Step-by-step explanation:

Make your equation

(((6x1)+(27x2)+(3x)=78

Simplify

(6+54+3x=78)

60+3x=78

Subtract from both sides

3x=18

Divide from both sides

x=6

The basketball team scored 6 shots worth 3 points.

Answer 2

The number of baskets the players made that were worth 3 points each is 6 and the equation used for this is, total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3.

What is the equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

Total scored by the team = 78 points,

The number of 1-point baskets = 6,

The number of 2-point baskets = 27,

If b is the number of 3-point baskets, the equation can be given as,

Total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3

78 = 6 × 1 + 27  × 2 + b  ×3

b = 6

Therefore, the number of baskets the players made that were worth 3 points each is 6.

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Related Questions

9. If AJKL - ANML, find the values of x and y.

Answers

Answer:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

I need help with this will give you the brainliest

Answers

Answer:

Its A

Step-by-step explanation:

simplification of like terms

please helpppp meeee?????!!!!

Answers

Answer:

it 2,5

Step-by-step explanation:

Write the y-intercept of the graph of -6x + y = 8.

Answers

Answer:

0,8

Step-by-step explanation:

I NEED HELP ON THIS!!!!!



#1 Find the unit price of each and decide which is the better buy. Hint: money divided by the amount

12 lb bag of Piper’s pepperoni pieces for $4.99

18 lb bag of Nora’s nummy nuggets for $6.20

#2 Write an integer that represents “a deposit of $65”. \

#3 if you answer correctly I will give you 5 stars!

Answers

#1 pipers pepperoni pieces- $0.41
noras nummy nuggets- $0.34
noras nummy nuggets is better
#2 +65?

Susan is planting a flower garden. She planted 4 lilies for every 5 rose bushes. If Susan plants 16 lilies, how many rose bushes did she plant?

Answers

Answer:

20 rose bushes

Step-by-step explanation:

Answer: 20 rose bushes

Christian’s lunch costs $1.75. He bought lunch 8 days in a row. How much money did Christian spend on lunch?

Answers

Answer:

14

Step-by-step explanation:

Just multiply 1.75 by 8.

Answer:

$14

Step-by-step explanation:

$1.75 · 8 = $14

Pls help ASAP! I will mark the brainliest (IF I GET IT RIGHT)

Answers

Answer:

V=288π      

288*3.14=904.32

Step-by-step explanation:

V=4/3π [tex](6)^{3}[/tex]

V=4/3π 216

V=4π72

V=288π

288*3.14=904.32

what does BD equal to?​

Answers

Answer:

Step-by-step explanation:

[tex]tan\theta =16/20\\ \\ \theta=arctan(4/5)\\ \\ tan(90-\theta )=BD/20\\ \\ BD=20tan(90-\theta )\\ \\ BD=20tan(90-arctan(4/5))\\ \\ BD=20[/tex]

Find the value of x.A.55B.25C.35D.10

Answers

Answer:

D hope that help c: yhisj

Marcy is making cookies. For each batch of dough, she needs 23 cup of sugar. How much sugar will she use if she makes 6 batches of cookies?

Answers

Batches times the amount of sugar per batch

23*6=138

Answer:

138 cups of sugar

Step-by-step explanation:

23 cups for 1 batch times 6 batches equals 138.

23*6=138

How many arms do a 6 starfish have?

Answers

Wouldn’t it be 30 over all??

So 30 is the answer

Hope this helps

Solving each equation:
6(-6x+3)=5(1-7x)

Answers

Answer  x=-2.6

 

Step-by-step explanation:

6(-6x+3)=5(1-7x)

-36x+18=5-35x

-36x+13=-35x

-5x=13

13/ -5x

x=-2.6

help please! Use the area to find the value of x:

Answers

Answer:

x = 6

Step-by-step explanation:

A = 1/2bh

36 = 1/2(12)(x)

x = 6

Please answer this! Pleaseeeeee

Answers

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

PLEASE HELP FAST

If the area is 1,180 square inches, find the correct values for r, width
and length from the list in your right.

Answers

the formula for the area of a rectangle is (length × width) in this case  (length × width) = 42

if the length is 7... then what # times 7 = 42? The width has to 6.

 

to find the perimeter... (2 × length ) + (2 × width) = Perimeter

OR

length + length + width + width = perimeter

7 + 7 + 6 + 6 = ?

Th answer: 26 inches

find the value of x...

Answers

Answer:

x = 23

Step-by-step explanation:

The 38 degree angle and the (6x +4) angle are supplementary which means both have to add up to 180 degrees. 180 - 38 leaves us with 142. When you plug in 23 to x you get (6(23) + 4) 6 times 23 is 138 and 138 plus 4 is 142. Which gives us our answer of x = 23.

A matea le encanta dibujar barquitos.Si traslado su barquito inicial 1 des veces,(2 y 3) ¿Cómo desplazo cada uno de sus puntos?

Answers

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

Can someone please help me with this math question

Answers

Answer:

D

Step-by-step explanation:

the graph has a negative correlation

Brian has $12 and he makes $9 per hour washing cars. This can be represented as: y = 9x + 12. What does the slope represent? *​

Answers

for every hour (x) that brian spends working at the car wash, he will make 9 additional dollars to his current balance of 12.

Serenity invested $1300 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Serenity would have in the account 10 years after her initial investment. Round to the nearest tenth (if necessary).

Answers

Answer: 2018.9

Step-by-step explanation:

Solve each inequality and graph the solution. 1. 5w ≥ –6w + 11
2. 7h + 4 > 5 – 5h

Answers

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The exchange at a post office is £1 =€1.17
How many euros would you get for £280

Answers

Answer:

327.6 Euros

Step-by-step explanation:

The exchange rate is 1 = 1.17 so to find euros multiply the total pounds by 1.17

280 * 1.17 =

327.6


What is the approximate value of 31 square root? MAFS.8.NS.1.2
5
6
15
16

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{31} =5.56[/tex]

Since it's 5.56, you'll want to round UP because 5 is in the tenths and is closer to 6

Answer:

6

Step-by-step explanation:

31 square root=5.567764363

Well,after u roundup this answer u will get 6

find the difference and simplify 3/4 - 2/8

Answers

Answer:

1/2

Step-by-step explanation:

(6/8)-(2/8)=(4/8)

(4/8) = 1/2

Find the future amount at the end of three years for a $2000 investment that earns 6% at the end of each year

Answers

Answer:

Step-by-step explanation:

This sounds like compound interest.

[tex]A=P(1+r)^t\\ \\ A=2000(1.06)^3\\ \\ A=\$ 2382.03\\ \\ \text{If simple interest}\\ \\ A=P(1+rt)\\ \\ A=2000(1.18)\\ \\ A=\$ 2360.00[/tex]

A=$2360.00

Hope this helps

DB is a perpendicular bisector of ADC.
AC = 2x + 20 BC = 4x-2 Solve for x.
Find BC and AC.

Answers

Answer:

                                                   

Step-by-step explanation:

1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.

Answers

Answer:

width = 2v - 19

Step-by-step explanation:

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

65

Step-by-step explanation:

65

What you do is subtract 15 from 145 and you get 130. You divide 130 by 2 and you get 65. And if you plug that into X you should get 145

What’s the perimeter of this figure

Answers

Answer:

26

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

11+2+6+7+(the not given side which is equal to 7-2=5)

11+2+6+7+5=31

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