Owen made exactly 72% of his free throws during the first half of the basketball season, and he made six free throws during the second half of the season. For the entire season he made exactly 60% of his free throws. What is the fewest possible number of free throws Owen could have attempted during the second half of the season?

Answers

Answer 1

Answer:

The fewest possible number of free throws Owen attempted is 15 throws

Step-by-step explanation:

From the first half,

72% = 72/100 = 18/25, reduced to its simplest ratio.

It means that he made at least 18 free throws in the first half of the season.

From the second half,

Let x be the fewest possible outcome of free throws, and the sum of total is 60% = 60/100 = 0.6

Considering the 6 free throws during the second half of the season,

(18+6)/(25+x) = 0.6

24/(25+x) = 0.6

Solving for x,

24 = 0.6(25+x)

24 = 15+0.6x

24-15 = 0.6x

9 = 0.6x

x = 9/0.6 = 15

x = 15 free throws

The fewest possible number of free throws Owen attempted is 15 throws


Related Questions

Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?

Answers

Answer:

8

Step-by-step explanation:

50/5.95

How do you decide which rational number operations to use to solve problems.

Answers

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get

Answers

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!

(–5, 0.5) a solution of the system of equations.

What is a system of equations?

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

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a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots ​

Answers

Answer:

a)

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

[tex]x^2+px+4=0[/tex]

a)

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

[tex]a^2+2ab+b^2=(a+b)^2[/tex]

We already have the first term squared, and we need to find the second term. Rewriting the equation:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]

The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]

Factoring:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]

Moving the independent term to the right side:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]

Taking the square root:

[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

Solving for x:

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) If the equation won't have real roots, then the radicand should be negative:

[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]

Factoring:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

The zeros of the left-side polynomial are:

[tex]\displaystyle \frac{1}{2}p-2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=2[/tex]

p = 4

[tex]\displaystyle \frac{1}{2}p+2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=-2[/tex]

p = -4

The inequality:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

Is satisfied for values of p in the interval (-4,4)

(4+2k)⋅6+3k and cant solve it plz help

Answers

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?

Answers

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

please help me answer this!! geometry

Answers

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?

Answers

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

32 trucks be safe! Out there!

Determine the negation of the following statement:

x is not equal to 50.

Answers

Any more details? I cannot know if you don’t have any more details for me

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

what is the value of f(-4.2) given the function f(x) = 23.2x + 2.5

Answers

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555​

Answers

Answer:

B) 3.7(1.15)

Step-by-step explanation:

find the area of Rhombus if its diagonals measure 18 cm and 21 cm​

Answers

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

4(-y+3)=2(5-y)
x=?

Merry Christmas

Answers

Answer:

Y=1

Step-by-step explanation:

ㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍ

Answer:

Y = 1

Step-by-step explanation:

PLEASE HELP ITS HARD ALGEBRA I WILL MARK BRAINLIEST IF U GET IT RIGHT
Estimate the solution to the following system of equations by graphing.

3x+5=14
6x-4y=9

A. (7/3, 7/2)
B. (4/3, 5/2)
C. (5/2, 4/3)
D. (-5/2, -7/2)

Answers

Answer:

C

Step-by-step explanation:

HURRY

A bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.

What is the probability that the golf ball he selects is white or pink?

5/54

5/13

13/18

13/5

Answers

Answer:

I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out

Add them together first. You get in total 18. So that’s your base number. Then add the white balls that is 10 and the pink balls that is 3. The reason why I don’t add the 5 yellow balls is because they are not mentioned in the third sentence. When you added those you will end up with 13/18.
I hope this helps :)

Use technology to find the​ P-value for the hypothesis test described below. The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is μ=11.00 Mbps. The sample size is n=14 and the test statistic is t=1.484. ​P-value=nothing ​(Round to three decimal places as​ needed.)

Answers

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

HELP!!! Plz

You are opening a new business and have to set up utilities. The cable company charges a $49.95 one time connection fee which includes the price of hardware. The cost of the service is $45.95 per month. The phone company charges $79.95 for the connection fee and hardware, plus $29.95 per month. What is the total cost for both services for the first month? _____________ What would be the DIFFERENCE in the cost of the two plans for 12 months? ______________

Blank 1: ____________
Blank 2: _____________

Answers

Answer:

Blank 1: $205.8

Blank 2: $388

Step-by-step explanation:

For blank 1, I added up the 4 numbers because that's what 1 month would cost for both services. For blank 2, I multiplied the monthly fee for each service separately by 12, for 12 months. After that, each equation still separate add the 1 time fee and subtract each company price and you will get your answer.

- I hope this is correct and helpful :)

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

Cable company Connection fee and hardware = 49.95 dollars

Cost of service = 45.95 dollars per month.

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 49.95 dollars + (45.95 dollars per month x 12 months) Cost for a 12-month period = 49.95 dollars + 551.40 dollars Cost for a 12-month period = 601.35 dollars

Phone company Connection fee and hardware = 79.95 dollars Cost of service = 29.95 dollars per month

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 79.95 dollars + (29.95 dollars per month x 12 months) Cost for a 12-month period = 79.95 dollars + 359.40 dollars Cost for a 12-month period = 439.35 dollars Difference in the cost = (cable company cost) - (phone company cost) Difference in the cost = 601.35 dollars - 439.35 dollars Difference in the cost = 162 dollars

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

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Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.

Answers

Answer:

The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:

Alexia can answer 3 minutes on each math problem

Alexia can answer 4 minutes on each science problem

She worked more than 60 minutes

We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.

in our answer, we have x=20and y=10

3*20 + 4*10 > 60

60 + 40 > 60

100 > 60

brainliest please

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I just took this assignment. :)

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?

Answers

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

Will give crown help

Answers

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

4/3 divided by 2/5...............

Answers

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

I WILL GIVE BRAINLEST!!!!!!!


Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSS SHOW YOUR WORK PLSSSS

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Let’s say that she has 10 dimes. 2(10)-5=Q

20-5=15

15 quarters

We doubled her dimes, and subtracted 5 to find quarters.

You can fill anything for D and remind true

this is um .... im hungry .

Answers

Answer:

what? im hungry too..... and the photo is blurry

Answer:

Hungry too gonna go eat

Step-by-step explanation:

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Answers

B,D,E is the answer for sure

HELP WILL GIVE 15 POINTS
what is the range of this function and pls explain​

Answers

Answer:

[tex]f(x)\geq -2[/tex]

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

[tex]f(x)\geq -2\\[/tex]

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.

Answers

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

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