Unit Test / 16 of 25
1 Pause
Josh practices free throws during basketball practice on Monday and Tuesday, On Monday, he attempts 15 free throws and 6 basketballs
went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday,
what is the minimum number of free throws required on Tuesday to reach his goal?

Answers

Answer 1

Answer:

30

Step-by-step explanation:

For the minimum free throws, he must put every throw to the basket.

So, let n be the number of throws for Tuesday, in which all the throws are successful.

So, over both the days, total free throws he makes= 15+n.

Total numbers of throws that went in the basket= 6+n.

As he wants at least 80% of his balls to go in the basket.

So, 6+n is greater than or equal to 809% of 15+n, i.e

[tex]6+n\geq \frac{80}{100}\times (15+n)[/tex]

[tex]\Rightarrow 30+5n\geq 60+4n[/tex]

[tex]\Rightarrow n\geq 30.[/tex]

Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.


Related Questions

−7.5(x−3)=3.75 What is the value of x? Enter your answer as a decimal.

Answers

Answer:

x=2.5

Step-by-step explanation:

Can someone plz help me plz

Answers

Answer:

40°

Step-by-step explanation:

50+40=90

The price of a sweater was reduced from $20 to $12 by what percentage was the price of the sweater reduced

Answers

It should be a 40% reduction :)

If price  of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that the price of a sweater was reduced from $20 to $12.

Original price is 20.

new price is 12.

We have to find the how much  percentage was the price of the sweater reduced.

To do this we have to find the difference between prices over the original price and multiply with 100.

Percentage = 20-12/20×100

=8/20×100

=40%

Hence, if price  of a sweater was reduced from $20 to $12 then the percentage was the price of the sweater reduced is 40%.

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Can someone help me with this problem

Answers

explanation:

angle A and 121.1° are supplementary angles, so they add up to 180°. therefore, we would need to subtract 121.1 from 180 to find angle A:

180 - 121.1 = 58.9°

(NEED HELP WILL MARK BRAINLIEST)
_____is the effort to improve something by correcting faults.
A. "Sacrament"
B. "Reform"
C. "Contradict"
D. "Indulgent"

Explain your answer

Answers

Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.

f(x)=800x+6 (rate of change)

Answers

Answer:

800

Step-by-step explanation:

The slope is the co-efficient of x. The y-intercept is the constant. Hope this helps!

What Does C equal in



[tex]\sqrt{8c+4}[/tex]


Along with the answer, please provide an explanation on how to do the +4

Answers

square the entire thing which gets ride of the root so (8x+4)^2 now solve. 8x^2+4^2. 64x+16

Answer:

See below.

Step-by-step explanation:

We have the expression:

[tex]\sqrt{8c+4}[/tex]

And we want to determine the domain restrictions of the expression.

Remember that the radicand (expression under the square root) must always be positive or 0. This is because we can't take the square root of a negative (and the square root of 0 is just 0). So, to find the domain restrictions, we can write and solve for the following inequality:

[tex]8c+4\geq0[/tex]

This is saying (8c+4) must be greater than or equal to 0. In other words, it's positive or 0.

So, solve for c. Subtract 4 from both sides:

[tex]8c\geq-4[/tex]

Now, divide both sides by 8. This yields:

[tex]c\geq4/8\\c\geq -1/2[/tex]

So, our c must be greater than or equal to -1/2. If it is less than -1/2, we won't have a solution.

On average, less than __________ percent of eligible voters participate in elections. A. 10 B. 20 C. 40 D. 60

Answers

Answer: Hello fellows! your answer is D. 60

HAVE A GREAT DAY!

On average, less than 60 percent of eligible voters participate in elections, hence option D is correct.

Who are eligible voters?

Eligible voters are who belong to the country where the elections are held and have the right age for voting, they have the right to vote according to the government rules and regulations.

According to the survey, the eligible voters' participation in the election is only 60% of the total voters.

Voting is the right of every individual who belongs to the country and chooses the perfect government for their country. It is bad for the individual who is not voting for the country and not showing interest in politics.

Therefore, on average, less than 60 percent of eligible voters participate in elections, hence option D is correct.

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Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....

Answers

Answer:

[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequences

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

[tex]\displaystyle r=\frac{-28}{112}=-\frac{1}{4}[/tex]

Testing with the third term:

[tex]\displaystyle -28*-\frac{1}{4}=7[/tex]

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

[tex]a_n=a_1*r^{n-1}[/tex]

[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]

Which function describes this graph?

Answers

Answer:

f(x) = 2x

Step-by-step explanation:

High Hopes^^

Barry-

Plz help and Thank you :/

Answers

Answer:

ok that is correct because you start with 25 and then add 9 each week so 25+9w

Step-by-step explanation:

6/18
Write each ratio as a fraction in lowest terms

Answers

Answer:

1/3

Step-by-step explanation:

If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.

So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.

6 divided by 6 is 1.

18 divided by 6 is 3.

The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.

1 multiplied by 6 is 6.

3 multiplied by 6 is 18.

So, 6/18 in lowest terms is 1/3!!

I hope you understood...have a great day :)

Please help me!, 40 points!

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

When the point (-3,-5) is reflected across the x-axis, what is the resulting image?
O (2.-5)
O (-5,-2)
O (2,5)
O (5,2)
O (-2,5)

Answers

Answer:

well the answer is (2,-5)

Step-by-step explanation:

The answer is (2,-5) is because on a graph none of the other Coordinates Match (-3,-5).

1+1+3+5+9-10+5-39+8=?

Answers

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Use PEMDAS.

Hoped this helped!! <3

(-6a^4b^3)^2(-2ab^5)

Answers

Answer:

[tex]-72a^{9}b^{11}[/tex]

Step-by-step explanation:

Simplify the expression.

I need help ASAP PLEASE HELP ME AND FAST

Answers

Answer:

Scale factor: 1/3      X=4

Scale factor: 5        X=20

Step by step explanation:

give brainliest please lol

HELP ASAPPP PLSSS!

match each property with its corresponding example

Answers

Answer:

A: 3

B: 1

C: 5

D: 6

E: 4

F: 2

Step-by-step explanation:

A: The arrows should be a giveaway; you're distributing the 3 into the parentheses.

B: Step shows adding 12, and only one of those properties has anything to do with addition, the addition property of equality. The property basically says that if we already know that 6x - 12 is equal to 18, then if we add any number to both sides (given that the same number is added to both sides), the two sides will still be equal. The other properties, for subtraction, multiplication, and division work the same way except with a different operation.

C: Step shows multiplying both sides by 2, so it's the multiplication property of equality.

D: Step shows subtracting both sides by -6x, so it's the subtraction property of equality.

E: Step shows dividing both sides by 6, so it's the division property of equality.

F: Step shows combining two terms that both have x as a variable, so it's combine like terms.

Please mark as Brainliest! :)

The value of investments in the stock market change daily. Suppose you buy a stock for $3,789. It increases in value by 6% and then decreases 7% and then increases again by 7%. What is the new value? (round your answer to the nearest cent)

Answers

Answer:

The final value of the stock is $3,996.66

Step-by-step explanation:

Percentage Change

The x% of a number N is calculated as x*N/100. If there is an increase, that number is added to the original value, then the new value is:

N'=N+x*N/100

Operating:

N'=N(1+x/100)

That formula makes it easier to find the new values of increasing quantities. When the percentage is for decreasing, then the formula becomes:

N'=N(1-x/100)

The original value of the stock is N1=3,789. The first change is an increase of 6%, then the new value is:

N2=3,789(1+6/100)=3,789*1.06=$4,016.34

The stock value now decreases by 7%:

N3=4,016.34(1-7/100)=4,016.34*0.93=$3,735.20

Finally, the value increases again by 7%:

N4=3,735.20(1+7/100)=3,735.20*1.07=$3,996.66

The final value of the stock is $3,996.66

i need help! I have 0 idea how to get the answer or anything

Answers

Answer:

2x +110= 180

2x=70

x=35

Step-by-step explanation:

Ac=20 bc=2x+12 ab=2x+8find x

Answers

20 + 2x + 12 + 2x + 8
40 + 4x

Answer:

x = 0

Step-by-step explanation:

AB + BC = AC

therefore

2x+8 + 2x+ 12 = 20

combine like terms

4x+ 20 = 20

Subtraction property of equality

4x + 20 - 20 = 20 - 20

4x = 0

Division property of equality

4x/4 = 0/4

x=0

q log a -3 log b
Condense logarithm

Answers

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q.  Note:  This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so   q log a -3 log b  in condensed logarithm form is

log {a^q*b^(-3)}

                 a^q

or log  -----------------

                 b^3    

what is 2y-4x=-18 in slope intercept form

Answers

Answer: Y = 2x - 9

Step-by-step explanation:

You need to get y by itself, that would be adding, subtracting or dividing anything around it.

2y = -18 + 4x

Y = 2X - 9

Answer:

y=2x-9

Step-by-step explanation:

help me pls

1) Mrs.Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=x^2-9x-10
Reading Game: R(d)=2x+10
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately

2) Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+36.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+20.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.

Answers

Answer:

a) after 12.59 days the revenue will be equal

b) u just have to graph it

the second one is

a) the two solutions are x=4 and x=-4

b) x=-4 is not reasonable because time can’t be negative

c) after four seconds, the heights will be equal

Step-by-step explanation:

After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.

1)

Given :

Math Game --   [tex]\rm M(d) = x^2-9x-10[/tex]

Reading Game --   R(d) = 2x + 10

It is given that after 'x' number of days the revenue for each game is the same, that is:

[tex]\rm x^2 -9x-10=2x+10[/tex]

[tex]\rm x^2 -11x-20=0[/tex]

Simplify the above quadratic equation.

[tex]\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}[/tex]

[tex]\rm x = \dfrac{11\pm \sqrt{201} }{2}[/tex]

x = 12.59 days

So, after 12.59 days the revenue for each game is the same.

The graph of both the revenue function is attached below.

2)

Given :

[tex]\rm b(t) =- t^2-2t+36[/tex]

p(t) = -2t + 20

The solution of this system can be determined by equating both the above function.

[tex]\rm -t^2 - 2t +36 = -2t +20[/tex]

Simplify the above equation.

[tex]\rm t^2 =16[/tex]

t = 4 and -4

a) The two solutions of the system are 4 and -4.

b) -4 is the solution is not a reasonable solution because time never be negative.

c) After 4 seconds the rocket and the ball reach the same height.

For more information, refer to the link given below:

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need help ...............................

Answers

The answer is region 1.

I need help ASAP with all your strength and power

Answers

Answer:

ASA??

Step-by-step explanation:

ASA I think.............

I'll give who ever answers this question a cookie. I have to turn this in soon and I dont understand this one question someone please help me!

7. D is the midpoint of CE
Prove: D=1/2CE​

Answers

Answer:

:D

Step-by-step explanation:

Which shows the best use of the associative and commutative properties to
make simplifying 3/4– 5+ 9 - 2/4 + 2 easier?

O A. (+()] + [9+2+(-5)]
O B. (+9+(-5)] + [2+(-3)]
O c. (+(-5)] + [9+(-x) + 2]
O D. (2++(-5)] + [(-k) +9]

Answers

Answer:

c

Step-by-step explanation:

The best use of the associative and commutative properties to

make simplifying 3/4– 5+ 9 - 2/4 + 2 easier is option C (+(-5)] + [9+(-x) + 2].

What is commutative property of addition?

The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.

For two numbers x and y, we have:

x + y = y + x

Suppose you've got 3 numbers as a, b, and c.

Then, we have

(a+b) + c = a + (b + c)

This property is called associative property.

Given;

3/4– 5+ 9 - 2/4 + 2

We can simpliyfying it by using the properties of addition ;

3/4– 5+ 9 - 2/4 + 2

(-5) + 9 + 2 + 3/4 + (-2/4)

Hence, the best use of the associative and commutative properties to

make simplifying 3/4– 5+ 9 - 2/4 + 2 easier is option C (+(-5)] + [9+(-x) + 2].

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In ten-pin bowling, the highest possible score in a single game is 300. At one point in the bowling season, Fred F Stone had an average score of 177. In his next game he obtained a score of 199, which caused his average to increase to. 178. After one more game Fred would like his average to be 183. Is it possible for Fred

Answers

Let, number of games played is n and sum of their points are x.

So, [tex]177=\dfrac{x}{n}[/tex]    

Now, In his next game he obtained a score of 199, which caused his average to increase to 178.

[tex]178=\dfrac{x+199}{n+1}[/tex]

Now equations are :

x = 177n    ...1)

x + 199 = 178( n + 1 )

x = 178n - 21  ...2)

Solving eq 1 and 2 , we get :

x = 3717 and n = 21 .

Now, new average is 183.

Let, point scored in last game is y.

So,

[tex]183 =\dfrac{x+y}{n+1+1}\\\\183 = \dfrac{3717+y}{23}\\\\y = 183\times 23 - 3717\\\\y=492[/tex]

He required 492 points which is greater than the maximum i.e 300.

Therefore, it is not possible for Fred.

Hence, this is the required solution.

HEY HELP PLEASE THIS IS DUE TODAY!!!

3 5 Write an expression that is equivalent to 3/5 (3y + 15).

A:3/5 y + 9
B:3/5 y + 15
C:9/5 y + 9
D:9/5 y + 15​

Answers

Answer:

I think it is C tell me if im wrong :\

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