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

i need help i’m really a bad at math

Answers

Answer:

what u need help with?

Step-by-step explanation:

Answer:

the slope is 0.6

Step-by-step explanation: ΔY /ΔX

Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for
the function?
O y = 0.25x
O y = x/0.25
O y = x +0.25
O y = x - 0.25

Answers

Answer:

A. y = x+0.25

Which of the following is equivalent to the expression below?

(-k+8)(-2k²-8k-1)

A)2k³-8k²-63k-8
B)2k³-24k²-64k-8
C)-8k^4 +2k³+64k-8
D)-24k^4-2k³-64k²-8

Answers

Answer:

A

Step-by-step explanation:

(-k + 8)(-2k² - 8k - 1)

We can use FOIL to solve this.

(-k * -2k²) + (-k * -8k) + (-k * -1) + (8 * -2k²) + (8 * -8k) + (8 * -1)

2k³ + 8k² + k + (-16k²) + (-64k) + (-8)

2k³ - 8k² - 63k - 8

Best of Luck!

a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT

Answers

Answer:

angle a = 53.13 degrees and OT = 5cm

Step-by-step explanation:

Tan A = 4/3

A = 53.13

The product of two positive numbers is always greater than either number

Answers

False, because you can do 2 x 0.5 and you would get 1. And 1 is less than 2

The product of two positive numbers is always greater than either number the statement is false.

What are numbers?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that the product of two positive numbers is always greater than either number.

To understand this let's take an example take two numbers and multiply them.

2 x 5 = 10

Then take 2 and 0.5 and multiply them.

2 x 0.5 = 1

Here the result of the product is 1 which is less than 2. Therefore, if the product of two positive numbers is always greater than either number the statement is false.

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled approximately by a trigonometric function. The lowest temperature is usually around 3^\circ C3 ∘ C3, degrees, C, and the highest temperature is around 18^\circ C18 ∘ C18, degrees, C. The temperature is typically halfway between the daily high and daily low at both 10\text{ a.M.}10 a.M.10, start text, space, a, point, m, point, end text and 10\text{ p.M.}10 p.M.10, start text, space, p, point, m, point, end text, and the highest temperatures are in the afternoon.

Answers

Answer:

The answer is "[tex]\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}[/tex]"

Step-by-step explanation:

Given value:

Temp-maximum=[tex]18^{\circ}[/tex]  

Temp. minimum = [tex]3^{\circ}[/tex]

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

[tex]T = A \cos B(t-C) + D,[/tex] where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

[tex]A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\[/tex]

                       [tex]= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5[/tex]

[tex]B = \frac{2 \pi}{24}\\\\[/tex]

   [tex]= \frac{\pi}{12}[/tex]

[tex]C = \text{ units translated to the right}= 4[/tex]

[tex]D = y_{min} + amplitude = units \ translated \ up\\\\[/tex]

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

[tex]T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5[/tex]

Answer:

Hope this helps.

Step-by-step explanation:

Determine the value of e. image attached.

Answers

Answer:

answer: b. 16

Step-by-step explanation:

8*4=32

32*0.5=

16

Please answer these... please

Answers

Answer:

1) y=1/8x+2

2) y=1/35x+100

Step-by-step explanation:

A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?

A. $240

B.$560

C.$1040

D.$1360

Answers

it would be C, you add 800$ plus 30%

Please help!! 13 points, will mark brainliest!! How to calculate [tex]cos (x)=\frac{6}{15}[/tex]?


I'm doing a trig question; trying to find angle XYZ, and I think the formula for the answer is C = [tex]\frac{A}{H}[/tex], which as stated in the title, I think in this situation is [tex]Cos(x)=\frac{6}{15}[/tex].


I don't know what I'm doing wrong, or if I've done the whole question wrong, but no scientific calculators will give me an answer because it says Cos is already defined. I know for sure the answer isn't 0.4, which was a guess I made. The entire question is attached below.

Answers

Answer:

66.4°

Step-by-step explanation:

Let ∠XYZ be x°.

Given the adjacent side, XY, and the hypotenuse side,YZ, we use cosine.

[tex] cosθ= \frac{adj}{hyp} \\ cosx° = \frac{6}{15} [/tex]

To find the value of x°, take the inverse of cosine.

[tex] x°\\ = cos^{ - 1} (\frac{6}{15} ) \\ = 66.4° \: (1 \: d.p.)[/tex]

Thus, ∠XYZ= 66.4°

*Given 2 sides, we can find the measure of an angle in a right- angled triangle by taking the inverse of the trigonometry function.

Answer:

0;0;2;9;8;4

Step-by-step explanation:

(2)^(3)

36.481;2.5

-3*(-2/3)-1

8;1;2;9;0;4

0;0;2;9;8;4

After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?
Group of answer choices

y = 8x + 1.5

y = 1.5x + 8

y = −1.5x + 8

y = –8x + 1.5

Answers

Answer:

The answer would be (B) y = 1.5x + 8

Step-by-step explanation:

The equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Aaron who is reading a book. After 4 minutes of reading, Aaron was on page 14 of his book and after 8 minutes he was on page 20.

Now -

(x) represents the number of minutes and (y) is the number of pages.

At x = 4, y = 14

At x = 8, y = 20

The slope of the line will be -

m = (20 - 14)/(8 - 4)

m = 6/4

m = 3/2

The general equation can be written as -

y = 3x/2 + c

20 = 3/2 x 8 + c

20 = 12 + c

c = 8

Now, we can write the equation as -

y = 1.5x + 8

Therefore, the equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.

To solve more questions on Equation modelling, visit the link below-

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Need this ASAP!!!PLLSS HELP!!
The price of a sweater is 40% off the original price of $20.00. What is the new price of the
sweater?
A $14
B $8
C $10
D $12

Answers

Answer:

the amount of the shirt is 12 dollars

Step-by-step explanation:

.40×12=12

The answer to your question is D.$12

Each side of a square is (7+3x) units . Which is the perimeter of the square

Answers

Answer:

28 + 12x

Step-by-step explanation:

Perimeter= all sides added

Square= 4 same length sides

4(7 + 3x) = 28 + 12x

Please answer I will mark you as brainlist PLEASEEE ANSWER

Answers

The answer to this question is A

Regina drew a triangle with vertices at ( 1 , 2 ) , ( 3 , 3 ) , and ( 4 , 1 ) . She slides the triangle 2 units down to create an image. What are the vertices of the image?
A. ( 1 , 0 ) , ( 3 , 1 ) , and ( 4 , − 1 )
B. ( 1 , 4 ) , ( 3 , 5 ) , and ( 4 , 3 )
C. ( − 1 , 2 ) , ( 1 , 3 ) , and ( 2 , 1 )
D. ( 3 , 2 ) , ( 5 , 3 ) , and ( 6 , 1 )

Answers

Answer:

A) (1,0), (3,1), and 4,-1)

Step-by-step explanation:

subtract 2 from all of the y-values

(1,0), (3,1), and (4,-1)

So it's A.

Answer:

The answer is A.

Step-by-step explanation:

It would be best to graph this yourself and move each plot down 2 units. Your answer would be the location of the plots after moving them.

Simplify the following expression using the distributive property: -8(2x - 5)
(a) 16x - 10
(C) - 16x +40
(b) - 6x - 13
(d) - 6x
I
Answers? :(

Answers

Answer:

(B)-16+40

Step-by-step explanation: -8(2x-5)

-8*2=-16

-8*-5=40(positive because a negative multiplied by a negative is postive)

add the x to the answers...Then its -16x+40

Hope This Helps:)

pls help.Solve it pls​

Answers

Answer: do i solve for a or sum?

Step-by-step explanation:

Given the matrix showing flight times between cities, which of the following statements is true?

The flight time from city 2 to city 4 is 2.1 hours.

The flight time to return from any city is the same as the flight time to fly to that city.

The matrix is square.

Using one or more flights, it is possible to get from any city to any other city.

Answers

Answer:

1, 3, and 4

I just did the assignment. Hope this helps!

Answer: yes, 1, 3, and 4

Step-by-step explanation:

x =??? ASAPPP plssssssssssss

Answers

Answer:

85 becacuse 20×25 = 85 x=85

Suzl starts her hike at 300 feet below sea level. When she reaches the end of the
hike, she is still below sea level at -103 feet. What was the change in elevation
from the beginning of Suzi's hike to the end of the hike?
The change was (
feet.

Answers

For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet

23.749 in expanded form using fractions

Answers

Answer:

23749/1000

Step-by-step explanation:

Solve the equation
(1/2)-sinx=1

Answers

Answer: #2. sin x (sin x + 1) = 0

sin x = 0 or sin x + 1 = 0

sin x = 0 or sin x = -1

Step-by-step explanation:

the value of x will be x = 210° and 330° for the given expression (1/2)-sinx=1.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given a equation (1/2)- sin x = 1

Simplifying the given expression

=>  (1/2)- sin x = 1

subtract 1/2 on both sides

=> -sin x = 1/2

=> sin x = -1/2

=> x = 210° and 330°

For all x = 0 to 360°

Learn more about expression here:

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What is the graph for y=3(x-1)^2

Answers

Root -( 1,0)
Minimum - (1,0)
Vertical intercept-(0,3)
It should look like a U
it’s a narrow parabola, with the vertex at (0,0). desmos is really helpful :)

How can I solve this? 32 1/4 x 1/8

Answers

convert 32 1/4 into an improper fraction

The line shown represents the amount of money Ben owes on his lunch account.
2 days ago, he owed $1. What is an equation of the line in point-slope form?

Answers

Answer:

y=2x-1

Step-by-step explanation:

Remeber to put no spaces on the test

and it is this answer bc he owes one dollar evryday and owing is negative

What are the angle measures of 1 and 2

Answers

angle 1 measures: 105°

angle 2 measures: 75°

hope this helped!

elise says, "if you subtract 16 from from my number and multiply the difference by -5, the result is -35." what is elise's number?​

Answers

Answer:

23

Step-by-step explanation:

1. (x-16)-5=-35

2. (x-16)=-35/-5

3. x-16=7

4. x=16+7

5. x=23

Sorry but what is “ 6(-5n + 7) “ equal ?

Answers

Answer:

-30n+42

Step-by-step explanation:

6(−5n+7)

=(6)(−5n+7)

=(6)(−5n)+(6)(7)

=−30n+42

Answer: − 30 n + 42

Step-by-step explanation:

leila decides to save for 6 years. she opens a saving account with $800. the account pays simple interest at an annual rate of 2%. she doesn’t make any more deposits how much total interest will leila earn?

Answers

Answer:

time =T=6 years

principal = P=$800

rate = R= 2%

interest = (P*T*R)/1000

             = 800*6*2/100

             = 96

Step-by-step explanation:

Solve for x: -1 < x + 3 < 5

Answers

Answer:

B -4<x<2

Step-by-step explanation:

[tex]-1+-3<x+3+-3<5+-3[/tex]

Add -3 to all parts

and u get [tex]-4<x<2[/tex]

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