The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same number of points which was 6 points more than they scored in the third game. Write and solve an equation to find the number of points the team scored in each game.

Answers

Answer 1

Answer:

First Game: 65 points

Second Game : 65 points

Third Game : 59 points

Step-by-step explanation:

Average = sum of values/number of values

The number of values = 3, an d average = 63

63 = x/3

63 * 3 = x

189 = x

Now 189 is the sum of points over two games.

Their first two games are worth the same, so lets call that s +s = 2s

Their 3rd game is worth 6 less points than s, so s-6

let's add up all the terms:

2s + (s - 6) = 3s - 6

Solve:

3s - 6 = 189

3s = 195

s = 65

The first two games are worth 65, and the third game is worth 65 - 6 = 59.

-Chetan K

Answer 2

Answer:65, 65 and 59

Step-by-step explanation:

If represented by x and y, (2x+y)/3=63

So 2x+y=189

So if x=y+6

Put the value of x into the equation

2x + y = 189

2(y + 6) + y = 189

2y + 12 + y = 189

3y = 189 - 12

3y = 177

y = 177/3

y = 59

Therefore, x = y + 6 = 59 + 6 = 65


Related Questions

the length of a side of a rectangle is 6 cm. what should the length of the other side be so that the perimeter of the rectangle is smaller than the perimeter of a square with a side of 4cm?

Answers

Answer:

1cm

Step-by-step explanation:

A square with a side of 4cm will have a perimeter of 16cm (4+4+4+4).

If you put 2 on the other side of the rectangle, the perimeter will be: 6+1+6+1=14cm, which is smaller than the square's perimeter.

A line passes through 2, -9 and parallel to a line passing through points (8,-4) and (6, 4)

Answers

m = y2 - y1/x2 - x1
m = 4 — -4/6 - 8
m = 8/-2
m = 4/-1
m = -4

Parallel slopes are the same

m = -4
b = ?

Replace x and y values of the point into slope intercept formula
y = mx + b
-9 = -4(2) + b
-9 = -8 + b
-9 + 8 = b
b = -1

Write final equation
y = -4x - 1

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!

Answers

Answer:

Step-by-step explanation:

X=16x

z=116

16x+112=128

360-128=232

232 divide by 2=116

Answer:

x = 9

z = 68

Step-by-step explanation:

For x, the top and bottom angles have the same value. To get x, you need to set up this equation: 12x + 4 = 112. Subtract 4 from itself and from 112. Your equation will then be 12x = 108. Divide 108 by 12, and then your answer is 9. So the value of x is 9.

For z, it's supplementary with the top angle. This means that the two angles combined add up to 180. So your question is: 112 + z = 180. Subtract 112 from 180, and then your answer is 68. So the value of z is 68.

Can you prove these triangles are congruent?

Answers

Answer:

yes you can

do you want me to

Step-by-step explanation:

Describe the transformations in each function as it relates to its parent function?

Answers

Answer:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function: f(x)=(3)x

Horizontal Shift: Right 8 Units

Vertical Shift: None

Reflection about the x-axis: Reflected

Vertical Stretch: Stretched

Step-by-step explanation:

BRAINLIEST?

A drinking glass is in the shape of a cylinder. The volume of the glass is 2211.68 cubic centimeters, and its diameter is 16 centimeters. Find the height of the glass.

Round the answer to the nearest centimeter. Include the units in your typed answer.

Answers

Answer:

11cm

Step-by-step explanation:

diameter = 16, r = 8 (16÷2)

π = 3.142

V=πr2h

2211.68 = π x 8^2 x h

2211.68 = 3.142 x 64 x h

2211.68 ÷ 64 ÷ 3.142 = h

h = 10.9986

= 11 cm (round off to nearest cm)

To check and confirm

V=πr2h

3.142 x 64 (8^2) x 10. 9986 = 2211.68

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:  12

Explanation:

Candice scored 1/5 of the total points. So we multiply 1/5 with 60. This is the same as dividing by 5.

60*(1/5) = 60/5 = 12

Candice scored 12 points.

Answer:

12

Step-by-step explanation:

60 multiplied by 1/5

=60/5

=12

hope This Helps :)

One angle of a right triangle measures 65º. What is the measure of the other acute
angle?

Answers

Answer:

115 degrees

Step-by-step explanation:

You subtract 65 from 180 degrees to find the answer

2. Select all transformations that must take any point A to any point B.

A. Rotation of 180° around A

B. Rotation of 180°around B

C. Rotation of 180° around the midpoint of segment AB

D. Reflection across the line AB

E. Reflection across the perependicular bisector of segment AB

F. Translation by the directed line segment AB

G. Translation by the directed line segment BA

Answers

The given transformation of reflection, rotation and translation are rigid transformation

The transformation that must take any point A to any point B are;

Rotation of 180° around the midpoint of segment ABReflection across the perpendicular bisectorTranslation by the directed line segment AB

Reason:

Question: The given quadrilaterals ABCD and A'B'C'D' are congruent

Required; To select all transformation that must take a point A to point B

Solution:  

Rotation of 180° around the midpoint of segment AB

A rotation of 180° about the midpoint of segment AB will change the places of points A and B

A(x, y) → R₁₈₀ → A'(-x, -y)

Let the coordinates of the origin be the midpoint of segment AB, and let (x, y) represent the coordinate of the point B(x, 0) we have;

∴ The coordinates of point A is A(-x, 0), which gives;

A(-x, 0) → R₁₈₀ → A'(x, 0) = point B

Therefore a rotation about the midpoint of AB must take point A to point B

Reflection across the perpendicular bisector

The reflection of a point (x, y) about y-axis gives a point (-x, y), therefore, we have;

A(-x, 0) → Reflection across the y-axis → A'(x, 0) = point B

Therefore, a reflection across the perpendicular bisector of the line AB must take the point A to point B

Translation by the directed line segment AB

A translation along the directed line segment AB of point A(-x, 0) 2·x units right gives;

A'(-x + 2·x, 0) = A'(x, 0) = Point B

Therefore, the transformations that must take any point A to any point B are;

Rotation of 180° around the midpoint of segment AB

Reflection across the perpendicular bisector

Translation by the directed line segment AB

Learn more here:

https://brainly.com/question/12369596

PLEASE HELP!!!

Instructions
Answer the following questions.
Questions
What is an amount between $2 and $10? (A) __________
What is an amount between $10 and $20? (B) __________
What is an amount greater than $50? (C) __________
What is your name? (D) _________________
What is the name of an item that you will buy only once? (E) _________________
What is the name of an item that you will buy more than once? (F) _________________

Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers.
Word Problem
(D) _________________ is going shopping for (E) _________________ and (F) _________________.
The cost of (E) _________________ is (B) __________ and the cost of each (F) _________________ is (A) __________.
If (D) _________________ can spend at most (C) __________, how many (F) _________________ can be purchased?

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

Explain what the solution means in the context of the word problem.

Answers

Answer:

12 30 100 a car

Step-by-step explanation:

Answer:

12 30 100 a car

Step-by-step explanation:

Please help! Simplify and know whether these examples are equal. Picture above. ​

Answers

Answer: -9/4

Step-by-step explanation:

https://www.symbolab.com/solver/equation-calculator/%5Cfrac%7B%5Cfrac%7B%5Cfrac%7B3%7D%7B5%7D%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B-%5Cfrac%7B4%7D%7B5%7D%7D?or=input

NEED HELP PLZ I-Ready

Answers

Answer:

114 in²

Step-by-step explanation:

Formula provided:

A = s²

Working:

A = s²

= 12²

= 144 in²

Answer:

144 in.²

Step-by-step explanation:

A=s²

A=12²

A=144

I think I understand but so PLEASE HELP!

Answers

Answer:

A.dresser

Step-by-step explanation:

To find the best selling furniture to achive his goal.

number of piece sold at $30 per hournumber of piece sold at<$30 per hour.Then the furniture with high value give more profit achive his goal.

Dresser—15-5= 10

Nightstand10-9=1

Armoire—12-6=6

chest14-8=6

from this,we get dresser has the highest value.

Dresser help him to meet his earning goal.

SEMOGA MEMBANTU

200 times 1000 + 300,000 divided by 3
First to get right gets brainliest

Answers

Answer:

76666.6666667

Step-by-step explanation:

The perimeter of a square is 28cm.
Work out the area of the square.

Answers

Answer:

the area of the square is 49cm

Answer:

28:4=7

7×7=49

Step-by-step explanation:

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ftxitxz9x9zxozxozx

f8td9td9zf9zf9zfz9fz9c

fzffu

please i need this for hwk

[tex]\frac{3n+5}{3n}-\frac{n}{n-1}[/tex]

Answers

ANSWER :

» 14n-6/3

refer to the above attachment ↑

Can someone pls help me out

Answers

Answer:

15

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (25)^2 - (20)^2

(Side)^2 = 625 - 400

(Side)^2 = 225

Side = √225

Side = 15

>> Answer

________

[tex] \: [/tex]

a² = c² - b²

a² = 25² - 20²

a² = 625 - 400

a² = 225

a = √225

a = 15

y ∝ 1 √ x If y = 7 when x = 36 find, y when x = 4

Help please

Answers

Answer:

Yo Rick Astley

Step-by-step explanation:

y ∝ 1 √ x

y = k (1 √ x)

y = 7 when x = 36

7 = k ( 1 / √36)

7 = k (1/6)

k= 7 × 6

k = 42

If x = 4 then,

y = 42 ( 1/√4)

y = 42 ( 1/2)

y= 21

Please please help
Provide the missing statement and reasons for the following proof:

Given: 9(x−6)+41=75Prove: x=889
Given:


9
(
x
-
6
)
+
41
=
75
Prove:


x
=
88
9

Answers

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

Let's me know if it wrong.

The missing statement and reason for the proof that the solution of 9(x  -  6)  +  41   =  75 is x = 88/9 are:

S3:  9x  -  54  =  34

R1:  Given

R2: Subtraction property of equality

R3: Distributive property

R4: Subtraction property of equality

R5: Division property of equality

The given equation is:

Statement1:   9(x  -  6)  +  41   =  75

Reason 1:  Given

Collect like terms

9(x - 6) =  75  -  41

Statement 2:  9(x  -  6)   =  34

Reason 2:  Subtraction property of equality

Expand the equation using distributive rule

Statement 3: 9x  -  54  =  34

Reason 3: Distributive property

Collect like terms in the equation 9x - 54  =  34

9x  =  34  +  54

Statement 4:  9x  =  88

Reason 4: Subtraction property of equality

Divide both sides by 9 in the equation 9x  = 88

Statement 5:  x  =  88/9

Reason 5: Division property of equality

Learn more here: https://brainly.com/question/9392125

Cross products: what is the final Value of X?

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{6}{2} = \frac{15}{x}[/tex]

[tex]\frac{3}{1} = \frac{15}{x}[/tex]

3x = 15

x = 5

Annika is 8 years older than Rohan. Three years ago, Annika was 3 times older than Rohan was then. How old is Annika and Rohan now?

Answers

Answer:

Annika is 15 years old and Rohan is 7 years old.

Solve using elimination.
1) 3x + y = 13
5x – y = 3

Answers

Answer:

(2,7)

Step-by-step explanation:

You are welcome ;)

3x + y = 13
+
5x - y = 3

8x = 16/8

x = 2

3(2) + y = 13
6 + y = 13
y = 13 - 6
y = 7

(2,7)

A line has a slope of 1/2 and contains the points (3, y) and (5,7). The value of y is.

Answers

Answer:

The value is 6

Step-by-step explanation:

Since the slope is 1/2, you can plot the coordinates 5,7.

5=x axis

7=y axis

After that you can use the formula rise/run = 1/2

Then you plot 3 on the graph. Then you use formula rise over run,

then you get 6

THE VALUE IS 6 5= axis

Answer A B C or D and explain

Answers

Answer:

i believe its just A

Step-by-step explanation:

Answer:  A)  I only

Explanation:

Relation I has each item in the domain map to exactly one item in the range. So any input leads to exactly one output. Therefore, we have a function here.

In contrast, relation II has the input x = 0 lead to multiple outputs (namely y = 8 and y = -1 at the same time). This indicates we do not have a function here.

Relation III is the same as as the previous one. This time the input x = -2 maps to both y = 1 and y = -7 at the same time. We don't have a function here either.

If you wanted, you can plot these points on the xy plane to see that relations II and III fail the vertical line test. You would need to plot each relation separately.

2×x^3-3×(m+1)×x^2+6×(m+1)^2×x+1 hình nào mô tả dạng đồ thị của hàm số trên

Answers

Answer:

the answer is m²

Step-by-step explanation:

2x²=3⁷x⁹xw.2=m²

Why can you eliminate the solution of -0.2 in the context of this problem? Check all that apply.
○ the height of the ball must be positive
○ it does not make sense for tike to he negative.
○ the ball cannot hit the ground before it is thrown.​

Answers

Answer: B (It does not make sense for time to be negative.) & C (The ball cannot hit the ground before it is thrown.)

Step-by-step explanation:

I answered the question already

Answer:

answer in picture
First one C
second  options B and C

third one 2.4

Please help me with this homework

Answers

Answer:

uh, prolly parallel. mb if it's not

Answer:

Parallel

Step-by-step explanation:

What is the answer to 18-6×=162 when
worked out?

Answers

Do you mean 18-6x162 If you do the answer is -892

Answer:

If you mean 18-6x=162

18-6x=162

-6x=162-18

-6x=144

divide both sides by -6

x=-24

HELP THIS IS DUE SOON PLEASEEEEEEEEEEEE HELPPPPPPPPPP

Answers

Answer:

6x^2 + 4x

Step-by-step explanation:

g(x) + f(x)

= -8x^2 - 3x + 5 + 2x^2 + 7x - 5

= -8x^2 + 2x^2 - 3x + 7x + 5 - 5

= - 6x^2 + 4x

A mustard seed has a mass of about 0.002 gram. A glass jar contains about 4.3602 x 10^4 A B C or D

Answers

Answer:

(2 x 10 ^-3) x (4 x 10 ^4)=8 x 10 ^1

Step-by-step explanation:

The mass of a single seed can be written as 0.002 = [tex]2*10^{-3}[/tex]

There are total of 4.3602 * 10 ⁴seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.

The rule to multiply two numbers in scientific notation is:

[tex](a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d}[/tex]

So using this formula we multiply the 2 numbers and get answer as follows:

[tex](a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d} \\(2*10^{-3} )*(4*10^{4} )=(2*4)*10^{-3+4} \\=8*10^{1}[/tex]

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