So far, Ricardo has scores of 13, 17, 19 and 21 points for the first four rounds of a dice game. What does he need the total score to be for the next two rounds combined in order to achieve an average score of 20 points per round for all six rounds?

Answers

Answer 1

Answer:

40 points

Step-by-step explanation:

The score for the first four rounds of the game is 13, 17, 19, and 21 points.

Let [tex]S_5[/tex] and [tex]S_6[/tex] be the scores of the fifth and sixth games respectively in order to achieve an average score of 20 points per round for all six rounds.

[tex]\text{Average score} = \frac{\text{Sum of the scores of all the rounds}}{\text{Total number of the rounds}}[/tex]

[tex]\Rightarrow 20=\frac{13+17+19+21+S_5+S_6}{6}[/tex]

[tex]\Rightarrow 20\times6=80+S_5+S_6[/tex]

[tex]\Rightarrow S_5+S_6=120-80=40.[/tex]

Hence, the combined score of the fifth and sixth rounds are 40 points.


Related Questions

Pls help me on this problem I’m confused

Answers

Answer:

420 × 2 = 820 feet total

100 yards = 300 feet

125 yards = 375 feet

300 + 375 = 675

820 - 675 = 145 feet

they have 145 feet left

Simplify the following expression \sqrt(75)+\sqrt(108)=a\sqrt(b) If the expression is simplified completely, what does a equal and what does b equal

Answers

[tex] \sqrt{75} + \sqrt{108} = a \sqrt{b} [/tex]

[tex] \sqrt{75} = \sqrt{3 \times 5 {}^{2} } = 5 \sqrt{3} [/tex]

[tex] \sqrt{108} = \sqrt{2 {}^{2} + 3 {}^{3} } = 2 \times 3 \sqrt{3} = 6 \sqrt{3} [/tex]

[tex] \sqrt{75} + \sqrt{108} = 5\sqrt{3} + 6 \sqrt{3} = 11 \sqrt{3} [/tex]

[tex]a = 11[/tex]

[tex]b = 3[/tex]

Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?

Answers

Your answer will be
250(1+3.75/100)^4
=289.66260375977
Nearest to =289.7

The balance in his account at the end of 4 years will be $289.67.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Principal amount (P) = $250

Rate (r) = 3.75%

Time (t) = 4 years

Now,

Since, We know that;

⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]

Where, A is the future amount.

P is the principal amount.

t is the time.

r is the rate.

Thus, By substitute all the values, we get;

⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]

⇒ A = 250 (1 + 3.75/100)⁴

⇒ A = 250 (103.75/100)⁴

⇒ A = $289.67

Thus, The balance in his account at the end of 4 years will be $289.67.

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Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted left 2 units?


PLEASE HELPPP

Answers

Shifted left 2 units(Change in x y remains constant

Lets shift

[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]

[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]

[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]

Answer:

g(x) = (x + 2)²

Step-by-step explanation:

In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:

⇒ To shift f(x) b units to left → f(x + b)

Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:

⇒ To shift f(x) b units to right → f(x - b)

Given function f(x) = x²

Shift 2 units to the left:  f(x + 2) = (x + 2)²

Therefore, g(x) = (x + 2)²

Given a graph, with no equation, how can you graph the inverse?

Answers

There are two different ways you can do this, I have provided both below.

Answer: You can switch all the x and y coordinate values.

   For example, if you have (2, 1) you would graph (1, 2).

       Another example, if you have (677, 83) you would graph (83, 677)

Answer: Flip the graph over the line of y = x

   I have attached an example from lumenlearning.com.

Which one of the following graphs represents
y as a function of x?
(А.
C

D

Answers

Answer:

D

Step-by-step explanation:

'D' is the only graph that illustrates a function

All of the other graphs would fail a 'vertical line test'; in other words, would have two y-values for each x-value

Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?
ok right subject this time PLS HELP AND FULL EXPLANATION

Answers

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21

In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.


Have a great rest of your day
#TheWizzer

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20

140 divided by 20 = 70

70 x 3 = 210

210 divided by 10 = 21


credits to NovaWiz

Step-by-step explanation:

Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76. 50 yesterday, how many hours did he work?

Answers

8.5 hours


T = 9 • h (hours worked)

$76.50 = 9 • h

76.50/9 = h

h = 8.5 hours

what is the slope of the function represented by the table of values below

Answers

Answer:

The correct option is A....

Step-by-step explanation:

We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:

m = y2-y1 / x2-x1

m = 5-13/ 0-(-2)

m = -8/0+2

m = -8/2

m = -4

We can check this answer by using a different pair: Take the last two pairs.

m = -27-(-15)/ 8-5

m = -27+15/3

m = -12/3

m = -4

Thus the slope is -4

ZA=
Round your answer to the nearest hundredth.
A
?
7
4
B
C

Answers

Answer:

Please post the full question/picture ^-^

Step-by-step explanation:

I believe some part of the question is missing.

find the number that makes the ratio equivalent to 9:18 _:2

Answers

Answer:

9:18 = 1:2

Step-by-step explanation:

18/9 = 2

9/9 = 1

9:18 = 9/9:18/9 = 1:2

Which number is the largest?
3/5 2/3 0.67 0.59

Answers

Answer: 0.67

Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.

0.67 is the largest number.

What is Number system?

A number system is defined as a system of writing to express numbers.

we need to find the largest number among 3/5, 2/3, 0.67 and 0.59

The given numbers are in the form of fractions and decimal.

Let us convert the fraction to the decimal numbers

3/5=0.6

2/3=0.666

0.67

0.59

In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.

Hence, 0.67 is the largest number.

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PLEASEEW HELPPP WILL MARK BRAINLEST !!pntss

Triangle ABC with vertices A(1,4), B(4,1), and C( 1,1) is graphed on the coordinate plane below.

Which transformation of (triangle)ABC would yield ( triangle)A'B'C' so that AC is parallel to B'C'?
Which transformation of AABC would yield AA'B'C' so that AC is parallel to B'C'?
1.) a 180° clockwise rotation about the origin

2.) a 90° counterclockwise rotation about the origin

3.) a reflection across the y-axis

4.) a reflection across the x- axis

Answers

Answer:

the correct answer is choice 2

Step-by-step explanation:

reason being that both bc and ac would both be vertical lines so they have the same slope of undefined

Answer:

3.) A reflection across the y-axis

Hope this helps!

7 hundreds+11tens+5ones= ​

Answers

700+ 110 + 5 = 715 is your answer

what are two consecutive whole number that lie between[tex]\sqrt91[/tex]

Answers

Answer:

√91 lies between 9 and 10.

Step-by-step explanation:

Which of the following is the greatest common factor of 60 and 64?

Answers

Answer:

Greatest common factor (GCF) of 60 and 64 is 4.

Step-by-step explanation:

The HCF of two numbers 60 and 64 is 4.

What is LCM?

LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.

We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.

Given we have to find HCF of 60 and 64.

2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.

∴ HCF of 60 and 64 is 4.

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE

Answers

Answer:

452.16 cm^2

Step-by-step explanation:

To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]12^2

A=[tex]\pi[/tex]144

A=144[tex]\pi[/tex]

We replace pi with 3.14

A=144*3.14

A=452.16

ASAP and God bless you

Answers

Answer: $384

Step-by-step explanation:

-20 divided 2+ (-15)=

Answers

Answer:

-35

Step-by-step explanation:

Using the rules of BIMDAS, division goes before addition, hence -20/2 which gives you -10

Put that in the equation and it would be:

-10 + (-15)

A negative and a positive make a negative hence, you could simply write it as:

-10 - 15

Which equals -35

Simplify -15(y^2)^4/-5y^3y^2

Answers

Answer:

-3y^8-3y^2

Step-by-step explanation:

PLEASE HELP ASAP!!!


Complete the data table for the function


(Please fill out all FOUR boxes... tyy)

Answers

Answer:

y - 2, 3, 4, 5

Hope this helps :)

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. m

Answers

The length of the arc subtending a central angle of 9π/5 radians is 152.12m.

The radius of the given circle r = 26.9m

The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians

What is the arc of the circle?

The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.

So, the length of the arc subtending a central angle of 9π/5 radians

l = rα

l = 26.9 * 9π/5

l = 152.12m

Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.

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Whats the remainder when 14952 divide by 41

Answers

The remainder is 28, you cant rlly explain anything about this, but if you have questions, feel free to message me!

Which of the following is NOT a linear function?

Answers

Answer:

y=(x-5)^2

Step-by-step explanation:

Y= (x-5)^2

Y= 1/3x +8

Y - 4 = 2(x-1)

9x - 2y = -18

This equation is exponential so it won't have a straight slope.

Can someone help me? I don’t know how to convert equivalent fractions using LCD.
Like 7/12 and 5/8 if the LCD is 24...

Answers

Yes, the Lowest Common Denominator (LCD) is 24

i need help with this please!

Answers

Answer:

Plug in those values for the x in the equations.

Step-by-step explanation:

f(x) = x^2 + x

   (x = -1) :: f(-1) = (-1)^2 + (-1)

                 f(-1) = -1 + -1

                 f(-1) = -2

   (x = 2) :: f(2) = (2)^2 + (2)

                 f(2) = 4 + 2

                 f(2) = 6

f(x) = x^2 - x

   (x = -1) :: f(-1) = (-1)^2 - (-1)

                 f(-1) = 1 - (-1)

                 f(-1) = 2

   (x = 2) :: f(2) = (2)^2 - (2)

                f(2) = 4 - 2

                f(2) = 2

f(x) = -x^2 - x

   (x = -1) :: f(-1) = -(-1)^2 - (-1)

                 f(-1) = -1 + 1

                 f(-1) = 0

   (x = 2) :: f(2) = -(2)^2 - (2)

                 f(2) = -4 - 2

                 f(2) = -6

Solve the equation and enter the value of x below.
5x + 4 + 6x = 70
X =
Answer here

Answers

Step-by-step explanation:

5x+6x=70-4

11x=66

x=66/11

x=6

The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days?

Day Time (minutes)
1 45
2 109
3 51
4 121
5 38

Answers

Answer:98.9276

Step-by-step explanation:

The table displays the amount of time, in minutes, Jordan rode his bike for five days.  How many total hours did Jordan ride his bike in the five days?  ​​DayTime (minutes)​​11  ​4545  ​22  ​109109  33 ​5151 ​​44  ​121121  ​55  ​3838  ​Jordan rode his bike  total hours in the five days.

A town plans to put a triangular garden in the town square. The length of the base of the garden will be 9 meters, and the height will be 16 meters. What will be the area of the garden? Enter your answer in the box. M2.

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

now, we only need to calculate :

9 × 16 / 2 = 9 × 8 = 72 m²

Answer: 72

Hope this helps!

Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of the patio to be 15 feet longer than the width. What dimensions should Lorena use for the patio?

Answers

Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem:

She has enough tiles to cover 324 square feet, hence A = 324.She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.

Thus:

324 = w(15 + w)

w^2 + 15w - 324 = 0

w = -27 or w = 12.

We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.

The dimensions should be a width of 12 feet and a length of 27 feet.

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