If a player is 20 feet away from the basket and wants to shoot the basketball the ball should be at its maximum height at what distance

Answer:

19.99 + 0.99x ; 21.97

Step-by-step explanation:

19.99 + 0.99x

19.99 + 0.99(2)

19.99 + 1.98

21.97

3/5x

= 60%

Step-by-step explanation:

Assume that Parcel 2 is assigned x acres; Parcel 1 will be 2x (because its twice as large as parcel 2).

Therefore if the farmer has planted on 30% on parcel 2;

30/100 * 2x area

60/100x

=3/5x

Parcel 1 ;

60/100 * x area

60/100x

3/5x

The total area planted =

(3/5x + 3/5x ) /2

= 3/5x

3/5 * 100

= 60%

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Answer:

161 to the nearest 10 = 160

161 to the nearest 100 = 200

Step-by-step explanation:

161 to the nearest 10:

Since you know that 60 is the tenth unit in this number, and 1 is the one unit, the one unit will indicate if it should be rounded up or down. If the one unit it 4 and below, the number will be rounded down. If the one unit is 5 and above, the number will be rounded up.

With this information, we know that he one unit in this number is "1", which will make the 61, be rounded down to 60, resulting in 160.

Using the same information with rounding to the nearest 100, since the tenth unit is above 5, the number will be rounded to the nearest 100, which is 200.

You use the number before the number you are trying to round, to find the nearest "_th".

Answer:

if its rounded to the nearest 10 it would be = 160

if its rounded to the nearest 100 it would be = 200

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

        A = 1/2 (base × perpendicular height)

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

Answer:

−12x + 4

Step-by-step explanation:

1. Remove parentheses

x + 2 − x + 2 − 12x

2. Collect like terms.

(x − x − 12x) + (2 + 2)

3. Simplify.

−12x + 4

Answer:

Step-by-step explanation:

(x+2)-(x-2)-12x

x+2-x+2-12x

x+4-13x

-12x+4

=4(3x-1)

The free throw percentage is 72.34 %

Solution:

Given that, This season, a basketball player has made 34 of 47 free  throws

To find: Free throw percentage

The formula used is:

[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]

From given,

Number of throws by basket player = 34

Total number of throws = 47

Therefore,

[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]

Thus free throw percentage is 72.34 %

Answer:

Mean=23

Median =23.5

Range=22

Interquartile range = 14

Step-by-step explanation:

Given set of data

11,13,17,20,22,25,27,31,31,33

Mean [tex]=\frac{11+13+17+20+22+25+27+31+31+33}{10}[/tex]

          [tex]=\frac{230}{10}[/tex]

          =23

The[tex](\frac{n}{2})[/tex] th term= the 5th term

                        =22

The  [tex](\frac{n}{2}+1)^{th}[/tex] term = The [tex]6^{th[/tex] term

                               = 25

The median = [tex]\frac{22+25}{2}[/tex]

                   =23.5

Range = Highest term - lowest term

           =33- 11

            =22

Here lower half {11,13,17,20,22}

The middle number of lower half is first quartile.

Q₁ = 17

And lower half is{25,27,31,31,33}

The middle number of upper half is third quartile.

Q₃=31

Interquartile Range =Q₃-Q₁

                                =31-17

                                 =14

Answer:

Mean = 23

Median = 23.5

Range = 22

Interquartile range = 14

Answer:

a) 31c + 19m ≤ 706

b) 7500c + 4300m > 84000

Step-by-step explanation:

hope it helps :p

Answer:

make sure variables are capital!

Step-by-step explanation:

Answer:

Therefore,

The height is 23.3 ft.

Step-by-step explanation:

Given:

ΔABC ~ ΔXYZ

AC = 108.5 ft

BC = h

XZ = 14 ft

YZ = 3ft

To Find:

h = ?

Solution:

Δ ABC ~ Δ XYZ….Given  

If two triangles are similar then their sides are in proportion.  

[tex]\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]  

Substituting the values we get

[tex]\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]

[tex]\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3[/tex](nearest tenth)

Therefore,

The height is 23.3 ft.

The amount of tip is $6

Step-by-step explanation:

So let cost of meal be 20 x and the tip be 3 x.

⇒ 3x + 20x = 46

⇒ 23x = 46

⇒ x = 2

⇒ 3x = 3 × 2 = $6

Answer: y=3x+4.50

Step-by-step explanation:

Answer:

4.50- 10.50/ 3x

6/3x= 2

Answer:

100 apples are covered in sprinkles

Answer:

The correct answer is D. Makeup artists

Step-by-step explanation:

Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?

These are the total number of jobs expected in 2016:

A. Substance abuse and behavioral disorder counselors : 112,000

B. Personal finance advisers : 248,000

C. Home health aides : 1'171,000

D. Makeup artists: 3,000

The correct answer is D. Makeup artists

Answer:

d on edg

Step-by-step explanation:

Answer:

4 4/9

Step-by-step explanation:

2 1/5 X 2 2/9

= 11/5 * 20/9

= 11/1 * 4/9

= 44/9

= 4 4/9

Answer:

-5.65

Step-by-step explanation:

Let us find the area of the trapezoid first and then multiply by the height.

Area of trapezoid: 1/2(leg 1 + leg 2)h = 1/2(9+13)6 = 66 m²

Volume: area of the base x height = 66 x 14 = 924 m³

answer: 924 m³

Answer:

52 inches

Step-by-step explanation:

1ft= 12inches

4times 12=48 1/3of 12=4 48+4=52

Answer: No

Step-by-step explanation:

The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees

Answer:

ANswer is YES i trued it On IXL and it was yes

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First find the given number(x)

40% : 40/100 × x = 8

the value of x is 20.

Next find 15% of 20

15/100 × 20 = 3

The 15% of 20 is 3.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Given:

40% of a given number is 8

let the number be x

So, 40% of x = 8

40/100*x= 8

x= 8*100/40

x= 800/40

x= 20

and 15 % of 20

=0.15*20

= 3

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Answer:

10%

Step-by-step explanation:

1200-1080= 120 , 1200/10 is 120 which means 10% is 120 students , so if you subtract 120 from 1200 you get 1080.

The percentage decrease in the number of students​ is -10%.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1080 - 1200}{1200} \\\\= -10\%[/tex]

Therefore we can conclude that the percentage decrease in the number of students​ is -10%.

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Answer:

the decimal is 2.5

Answer: 5/2=2.5

Step-by-step explanation:

How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.

The proportion that could be used to solve for the variable is:

[tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex] ; p = 12 ⇒ b

Step-by-step explanation:

Direct proportion means that two (or more) quantities increase or decrease in the same ratio

The number of pencils and the cost of them is increased together or decreased together

∴ The number of the pencils and their costs are in direct proportion

- By using the 2nd rule above

∵ The cost of the 7 pencils is $1.68

∵ The cost of p pencils is $2.88

∴ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]

The proportion that could be used to solve for the variable is: [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]

∵ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]

- By using cross multiplication

∴ p × 1.68 = 7 × 2.88

∴ 1.68 p = 20.16

- Divide both sides by 1.68

∴ p = 12

The value of variable p is 12

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Answer:

486

Step-by-step explanation:

Just multiply them by each other

Answer:

The answer is 486 in. squared! :)

Step-by-step explanation:

With PEMDAS, you multiply 9 x 3 which equals 27 x 3 = 81 x 3 = 243 x 2 = 486!

I hope this helped, sorry I answered so late.

Good Luck! :)

Answer:

K=7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

k + 22 = 29

collect like terms

k = 29 - 22

k = 7

Answer:

56.25

Step-by-step explanation:

We know that both of the angles m<KPN and m<OPN must add up to 90 degrees

We can create an equation as follows

[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]

Answer:

450

Step-by-step explanation:

If 81 is 18% of a number then we can say that:

x × 0.18 = 81

We multiply by 0.18 because 18% is 0.18 as a decimal. So to work out the real number we divide 81 by 0.18:

81 ÷ 0.18 = 450

Answer:

8

Step-by-step explanation:

3x4=12

12x1/3=4

12-4=8

Answer:

12 students are in that class, 8 of them are present

Step-by-step explanation:

1/3 of the class = 4

1/3 * 3 = the whole class

4 * 3 = 12 = the whole class

The unknown number is -8.

To find the unknown number, we can set up an equation based on the given information.

We are told that -6 is 2 more than the unknown number, so we can represent this as:

Unknown number + 2 = -6

To isolate the unknown number, we need to subtract 2 from both sides of the equation:

Unknown number = -6 - 2

Unknown number = -8

So, the unknown number is -8. This means that when you add 2 to -8, you get -6, which satisfies the condition given in the problem.

In summary, by setting up and solving the equation Unknown number + 2 = -6, we determined that the unknown number is -8.

This equation represents the relationship between the unknown number and the given value of -6, where -6 is 2 more than the unknown number, as specified in the problem statement.

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