Henry consistently makes seven out every ten free throws he shoots. At the same rate, how many free throws will he make after he shoots 90 of them?

Answer:

C = 35 + 45h

In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.

Step-by-step explanation:

Charges for parts and $45 per hour for  labor that takes a mechanic for maintenance of a car.

It costs $125 as Terri spent 2 hours for car maintenance.

Since the function is linear, so we can write  

125 = 45 × 2 + x {Where x is the charges for parts}

⇒ x = 35

Therefore, the equation that models the situation is given by  

C = 35 + 45h ......... (1)

where C is the total cost and h is the number of hours.

Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)

Answer:

[tex]A=16\pi\ units^{2}[/tex]

[tex]A=50.24\ units^{2}[/tex]

Step-by-step explanation:

we know that

The shape of the figure is a quarter of circle

so

The area of the figure is equal to the area of a circle divided by 4

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=8\ units[/tex]

substitute

[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]

[tex]A=16\pi\ units^{2}[/tex] ----> exact answer

assume

[tex]\pi =3.14[/tex]

[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer

Answer:

The correct graph is attached below.

Step-by-step explanation:

Given:

Initial temperature is 0°.

Decrease in temperature per hour is 12°.

Since, the initial temperature is 0°, the line must pass through the origin as temperature is plotted along the y-axis.

Also, decrease in temperature per hour is 12°. So, this represents the slope of the line. So, the slope should be -12 as there is decrease in temperature with increasing time.

So, the correct graph will be a line passing through origin and the slope of the line must be -12. Also, the temperatures will be along the negative y-axis as the values are decreasing with time.

Hence, the third graph is the correct one and is shown below.

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

A.K.A – 3.

Step-by-step explanation:

Answer:

250 berries

Step-by-step explanation:

10 to 1 means 10 times as many berries as oranges

25x10=250

If there are 25 oranges then the number of berries would be​ 250 and this can be determined by using the arithmetic operations.

Given :

The ratio of berries to Oranges is 10:1.

The following steps can be used to determine the number of berries if there are 25 oranges:

Step 1 - Let the total number of berries be 'a' and the total number of oranges be 'b'.

Step 2 - As per the given data:

[tex]\dfrac{a}{b}=\dfrac{10}{1}[/tex]

Step 3 - If there are 25 oranges then the number of berries would be:

[tex]\dfrac{a}{25}=\dfrac{10}{1}[/tex]

[tex]a = 25\times 10[/tex]

a = 250

So, if there are 25 oranges then the number of berries would be​ 250.

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Answer: F. (2x – 1)(x + 4)

Step-by-step explanation:

https://socratic.org/questions/how-do-you-factor-2x-2-7x-4-1

The expression that should be equivalent to given equation is (2x – 1)(x + 4)

The equation is [tex]2x^2 + 7x +4[/tex]

[tex]2x^2 + 7x +4[/tex]

[tex]2x^2 +8x - x + 4\\\\2x (x + 4) - 1(x + 4)[/tex]

(2x -1 ) (x + 4)

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Bryan has enough to buy skateboard as it will cost $44.94

Step-by-step explanation:

Original price = $70.00

Discount = 40%

Amount of discount = 40% of original price

Amount of discount = [tex]\frac{40}{100}*70[/tex]

Amount of discount = [tex]\frac{2800}{100}[/tex]

Amount of discount = $28

Price after discount = Original price - amount of discount

[tex]Price\ after\ discount=70-28 = $42\\[/tex]

Sales tax = 7% = [tex]\frac{7}{100} = 0.07[/tex]

Sales tax amount = Price after discount (0.07)

[tex]Sales\ tax\ amount= 42(0.07) = $2.94\\[/tex]

Price of skateboard = Price after discount + sales tax

Price of skateboard = 42+2.94 = $44.94

Bryan has enough to buy skateboard as it will cost $44.94

Keywords: sales tax, subtraction

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Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, [tex]\cos 41 = \frac{JP}{JM} = \frac{JP}{35}[/tex]

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The given is:

We need to find What fraction of the whole sandwich she ate

∵ The remaining of the whole sandwich in the refrigerator is [tex]\frac{3}{4}[/tex]

∵ Sierra cuts the remaining part into 3 equal parts

- That mean divide [tex]\frac{3}{4}[/tex] by 3

∴ Each part = [tex]\frac{3}{4}[/tex] ÷ 3

- Replace ÷ by × and reciprocal 3

∴ Each part = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex]

∴ Each part = [tex]\frac{1}{4}[/tex] of the whole sandwich

∵ She ate two of them

∴ She ate = 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{4}[/tex]

- Divide up and down by 2 to simplify it

∴ She ate = [tex]\frac{1}{2}[/tex] of the whole sandwich

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

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Answer:

The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  .

Step-by-step explanation:

Given as :

The total amount of money does Stephanie have = $ 3.25

The total money is in the form of nickels and dimes

Let the number of nickels = n

And The number of dims = d

∵ we know that 20 nickles makes 1 dollar

And 10 dimes makes 1 dollar

So , in total of 3.25 dollar the number of dime and nickles be

∵ 20 nickles makes 1 dollar

∴ 45 nickles will makes [tex]\frac{1}{20}[/tex] × 45 dollar

I.e 45 nickles will makes 2.25 dollar

Now, ∵ 10 dimes will make 1 dollar

So, The total number of nickles and dimes satisfying equation

45 nickles + 10 dimes = 2.25 dollar + 1 dollar = 3.25 dollar

Hence The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  . Answer

Answer:

4.40

Step-by-step explanation:

The amount of money Ivan has in his pocket is n.

Meg has $3.25 more than Ivan. Meg has $7.65.

Complete the equation that models the situation. Then, give the value of n.

$3.25

÷

+

$7.65

×

$10.90

$4.40

Given equation:  p - -3 7/9 = 5/6

When you subtract a negative number you automatically change it to adding a positive number.

p - -3 7/9 = 5/6 → p + 3 7/9 = 5/6

To isolate p in this equation we need to subtract 3 7/9 to both sides.

p + 3 7/9 - 3 7/9 = 5/6 - 3 7/9

p = -161/18

_______

Best Regards,

Wolfyy :)

Answer:

3.6875

Step-by-step explanation:

Answer:

3.6875

Step-by-step explanation:

First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.

Answer:

D

Step-by-step explanation:

One or more corresponding angles are not congruent.

ABC is not congruent to EFG

BCD is not congruent to FGH

CDA is not congruent to GHE

DAB is congruent to HEF

Answer: D

Step-by-step explanation:

The complete table:

NUMBER OF TICKETS SOLD ON FRIDAY AND SATURDAY

The total number of tickets sold over these two days is 8,938

Step-by-step explanation:

The table below shows the numbers of tickets sold at a movie theater on Friday.

NUMBER OF TICKETS SOLD

The number of each type of ticket sold on Saturday is described below

We need to complete the table above to show the numbers of tickets sold on Saturday and find the total number of tickets sold over these two days

∵ The number of adult tickets on Saturday is 2 times as many as

   the number of adult tickets sold  on Friday

∵ The number of adult tickets on Friday = 1,678

∴ The number of adult tickets on Saturday = 2 × 1,678 = 3,356

∵ The number of children's tickets on Saturday is 3 times as many

   as the number of children's tickets sold  on Friday

∵ The number of children's tickets on Friday = 976

∴ The number of children's tickets on Saturday = 3 × 976 = 2,928

The complete table:

NUMBER OF TICKETS SOLD ON FRIDAY AND SATURDAY

∵ Adult tickets sold over the 2 days = 1,678 + 3,356 = 5,034

∵ Children's tickets sold over the 2 days = 976 + 2,928 = 3,904

∴ The total tickets sold over the 2 days = 5,034 + 3,904 = 8,938

The total number of tickets sold over these two days is 8,938

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The measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

From the given figure we have two parallel lines and a transversal which intersects them.

The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.

And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.

119 + angle 1 = 180

angle 1 = 180 - 119

angle 1 = 61

Hence the measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

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A total of 750 students responded yes.

As it is given in the tree diagram that is lower there was a total of 450 students who responded yes.

Now, in upper there were a total of 400 students of which 100 students responded no which means (400-100), students responded yes i.e., a total of 300 students responded yes.

So,  upper+lower responses of yes will be total responses of students as yes.

So, a total of 300+450=750  students responded yes.

Hence, 750 students responded yes.

Therefore, option C is the correct answer.

1 : to say something in return : make an answer respond to criticism. 2a : to react in response responded to a call for help. b : to show favorable reaction respond to surgery. 3 : to be answerable respond in damages.

Respond is defined as to answer or reply or to act in return. An example of to respond is to answer a question in class. An example of to respond is for an ambulance to rush to the scene of an accident after a phone call requesting their service. (intransitive) To say something in return; to answer; to reply.

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Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

Final answer:

Damien has 21 red pieces after dividing the red part of the rectangle, which is 7/8, into pieces that are each 1/24 of the whole rectangle.

Explanation:

To find the number of red pieces Damien has, we first determine the fraction of the rectangle that is colored red, which is 7/8. Then, we find the size of each piece that Damien cuts, which is 1/24 of the whole rectangle.

Since each piece is 1/24, and Damien is cutting up only the red part which is 7/8 of the whole, we calculate the number of pieces by dividing the red part by the size of each piece: number of red pieces = (7/8) / (1/24).

To do this division, we multiply by the reciprocal of the divisor: (7/8) * (24/1) = 21. Therefore, Damien has 21 red pieces.

Answer:

I believe C)45cm but I know for sure its not B)42cm

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

so to isolate the x you dived the -3 to both sides

so it will now be

x=5 because a negative times or divided by a negative equals a positive so to prove that x=5

-3(5)=-15

which is true

Answer:

B) 16x+11/4 =4x+5-2

Step-by-step explanation:

the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

The correct option is (B).

To find out which equation has no solution, let's solve each equation and see if any leads to a contradiction.

A)[tex]\( \frac{10x + 5}{2} = 3x + 6 \)[/tex]

  Multiply both sides by 2 to eliminate the fraction:

[tex]\( 10x + 5 = 6x + 12 \)[/tex]

  Subtract (6x) from both sides:

[tex]\( 4x + 5 = 12 \)[/tex]

  Subtract 5 from both sides:

  ( 4x = 7 )

  Divide both sides by 4:

[tex]\( x = \frac{7}{4} \)[/tex]

B) [tex]\( \frac{16x + 11}{4} = 4x + 5 \)[/tex]

  Multiply both sides by 4:

[tex]\( 16x + 11 = 16x + 20 \)[/tex]

  Subtract (16x) from both sides:

  ( 11 = 20 ) - Contradiction

C) [tex]\( \frac{8 - 6x}{4} = 4 + 2x \)[/tex]

  Multiply both sides by 4:

  [tex]\( 8 - 6x = 16 + 8x \)[/tex]

  Subtract 8 from both sides:

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( 0 = 14x + 8 \)[/tex] - Contradiction

D)[tex]\( \frac{18x - 10}{2} = 9x - 5 \)[/tex]

  Multiply both sides by 2:

 [tex]\( 18x - 10 = 18x - 10 \)[/tex] - No contradiction, the equation holds true for all ( x ).

So, the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

complete question given below:

Which equation has NO solution?

A) (10x+5)/2 =3x+6

B) (16x+11)/4 =4x+5

C) (8-6x)/4 =4+2x

D) (18x-10)/2 =9x-5

Answer:

Culinary school because it is shorter schooling and costs less

Step-by-step explanation:

Answer:

black balls: 10/20 or 1/2

red balls :8/20 or 2/5

white balls: 2/20 or 1/10

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

8/20 or 0.4- probability of red ball in one draw

2/20 or 0.1 - probability of white ball in one draw

10/20 or 0.5 - probability of black ball in one draw

0.4 + 0.5 + 0.1 = 1

Sorry I'm late just wanted to put the right answer!

Answer:

13

Step-by-step explanation:

3 x 3 = 9

7 + 3 = 10

7 + ? = 3 + 7 + 3 + 7

7 + ? = 20

? = 13

Answer:

Step-by-step explanation:

[tex]p\times p=9\\\\p^2=9\to p=\sqrt9\to \boxed{p=3}\\\\c+p=10\qquad\text{put the value of}\ p\\\\c+3=10\qquad\text{subtract 3 from both sides}\\\\\boxed{c=7}\\\\c+s=p+c+p+c\qquad\text{put the values of}\ p\ \text{and}\ c\\\\7+s=3+7+3+7\\\\7+s=20\qquad\text{subtract 7 from both sides}\\\\\boxed{s=13}[/tex]

Answer:

It is $17.

Step-by-step explanation:

Answer:

20/69=0.2898550724637...

Step-by-step explanation:

a calculator

The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.

The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.

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Answer:

32

Step-by-step explanation:

c^3/2 when c=4

4^3/2

4^3=4*4*4=16*4=64

64/2=32

Answer:

impossible!

Step-by-step explanation:

There is no solution! 0=0

Answer:

x = (y/4) - (3/2)

Step-by-step explanation:

y=4x+6  (subtract 6 from both sides)

y - 6 = 4x (divide both sides by 4 and rearrange)

x = (y-6) / 4

x = (y/4) - (6/4)

x = (y/4) - (3/2)