Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer 1

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.


Related Questions

What percent of 185 is 70?
(please show work)

Answers

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

Which rational number equals 0 point 1 with bar over 1?

Answers

See attachment for math work and answer.

Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)

Answers

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

Completa el enunciado siguiente. Luego usa una recta numérica para hallar la suma 4 + (-7).
4+ (-7) es
unidades desde 4, en la dirección
4+(-7) es
unidades desde 4, en la dirección

Answers

Respuesta Es -3 (tried my best I’m only in Spanish two my main language is English)

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please​

Answers

Answer:

then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50

Step-by-step explanation:

X/2+3/8=1
What does x equal

Answers

Answer: X = 5/4

X/2 + 3/8 = 1

Subtract 3/8 from both sides.

X/2 = 1 - 3/8

Simplify 1 - 3/8

X/2 = 5/8

Multiply both sides by 2.

X = 10/8

Simplify 10/8

X = 5/4

Answer:

x=5/4

Step-by-step explanation:

Subtract 3/8 from both sides.

Then simplify.

Multiply both sides by 2.

And then simplify again.

Hope this helped! :)

Help me please :) have a good day.

Answers

Answer:

problem 1: h=a/b problem 2: 5

Step-by-step explanation:

First problem: a=bh

First you have to flip the equation so bh=a

Next you have to divide both sides by b.

bh/b=a/b

so h=a/b

Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base

If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.

You have to divide 45 by 9, the answer would be 5.

Hope this helped!

What is the simplified expression for
44 • 43 45

Answers

The third one, 4^2 is the answer. Let me know if I got wrong

Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?

Answers

Answer:

30% on Monday 46% on Tuesday

Step-by-step explanation:

Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't  half because half of 13 is 6.5

What Is The Slope Of the Line

Answers

Answer:

2/2.5 or 3/4 I pretty sure that's right

Help!! Show all work

Answers

Answer:

I used a math calculator by a math calculator service

Step-by-step explanation:

A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?

Answers

Answer:

Step-by-step explanation:

12 x 8 x 5 = 480/4= 120 minutes or 2 hours  

If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4

Answers

1/26 chance to do so

10. You want to be able to withdraw $30,000 each year for 25 years. Your account earns 8% interest. a. How much do you need in your account at the beginning? b. How much total money will you pull out of the account? c. How much of that money is interest?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Rate (r) = 8% =. 0.08

Period (t) = 25 years

Yearly withdrawal = cashflow = P= $30,000

Using the present value formula (PV) :

Present Value (PV) = P[(1 - (1 + r)^-n) / r]

PV = 30000((1 - (1 + 0.08)^-25) / 0.08)

PV = $320,243.29

B.) Total amount pulled out :

Yearly withdrawal * number of years

$25000 * 25 = 625,000

C.)

Interest :

$625000 - $320,243.29 = $304,756.71

Lula Krobo is paid a commission of 7% commission on all sales over $15,000 in a month and a monthly salary of $2,300. Her last month’s sales were $29,700. What were Lula’s total earnings for the month?

Answers

Answer:   $33,029.00

Step-by-step explanation: 29700 + 1029 + 2300

sales = $29,700

commission = $1,029

salary = $2,300

Plz mark brainliest:)

convert 56.6 into radical form​

Answers

I don’t believe this has an answer or can be converted. I’ll try to look at some calculators but I don’t see it being easily converted

According to the diagram, which statement is NOT true?
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Counting
Numbers
А
All counting numbers are also rational numbers.
All whole numbers are integers.
B
C All rational numbers are real numbers.
D
AB rational numbers are integers

Answers

Answer:

all rational numbers are intergers

Step-by-step explanation:

Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
images attached.

Answers

Answer:

D

Step-by-step explanation:

Using the Sine rule in Δ QRS , that is

[tex]\frac{q}{sinQ}[/tex] = [tex]\frac{r}{sinR}[/tex] , that is

[tex]\frac{15}{sinQ}[/tex] = [tex]\frac{12}{sin50.1}[/tex] ( cross- multiply )

12× sinQ = 15 × sin50.1° ( divide both sides by 12 )

sinQ = [tex]\frac{15sin50.1}{12}[/tex] , thus

Q = [tex]sin^{-1}[/tex] ( [tex]\frac{15sin50.1}{12}[/tex] ) ≈ 73.5° ( to the nearest tenth )

Solve for y: -3y-6x= -18 *

Answers

Answer:

[tex]y=-2+6x[/tex]

Step-by-step explanation:

[tex]-3y-6x= -18[/tex]

[tex](-3y-6x)= -18+6x[/tex]

[tex]-3y-6x+6x=6x -18[/tex]

[tex]y=-2+6x[/tex]

Factorise Fully:
21b-3b^2

Answers

See attachment for math work and answer.

Bob played a trivia game in which he lost 3 points for each incorrect answer and gained 8 points for each correct answer. If Bob answered 11 questions correctly and 4 questions incorrectly, what was his total score?

Answers

Answer:

76

Because 11*8=88 and 4*3=12

88-12=76

Which equation is not a linear function?
y = x2
y = x + 2
y = 2x
y = x - 2

Answers

Y= x2 is not linear it is a parabola. There is you me answer hope it helps
y=x2 is not a linear function cause x supposed to be at the end of the number

Change 2/5 to a decimal

Answers

2/5 = 0.4

Simply devide 2 by5 then you'll get the answer as 0.4

Answer:

0.4

Step-by-step explanation:

If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?

Answers

Answer:

$600

Step-by-step explanation:

450➗75✖100= 600. The original price was $600.

Answer:

600

Step-by-step explanation:

450/.75=600 dollars

15+6x=45+8x
what does x equal

Answers

Answer:

X=-15

Step-by-step explanation:

Do simple math

Answer:

-15=x

Step-by-step explanation:

15 + 6x = 45 + 8x

       -6x            -6x

15 = 45 + 2x

-45   -45

-30 = 2x

/2       /2

-15 = x

Hope this helps!

Which equation shows an example of the associative property of addition?

A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)

Answers

Answer:

I am pretty it's A

Step-by-step explanation:

Basically the Associative Law of Addition means that the order that the numbers are added does not matter.

Answer:

A. (–4 + i) + 4i = –4 + (i + 4i)

Step-by-step explanation:

edge2020

Have a great day y'all :)

g(x) = -4(x + 3)(4x - 2)

Answers

X1=-3 X2=1/2 i think that’s the answer

plss explain 30 points

Answers

Answer:

The height increases as the ferris wheel goes up.

Step-by-step explanation:

Answer:

The ferris wheel goes up and that is the height and when the ferris wheel goes down that is the time so the line goes up and down just like the graph shown

Step-by-step explanation:

Why I cannot simplify P-2l further

Answers

Answer:what

Step-by-step explanation:

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