Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?

The Volume of the smaller prism is 37.5 ft³.

Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.

The volume of the prism is determined by the formula

V = Bh

B is the base area and h is the height of the Prism.

The scale factor is given as 1/4, as the volume of the larger prism is given.

The volume of the larger prism is 2400 ft³

the side lengths will be multiplied by 1/4

Let the base area is for the larger prism the area for the smaller prism will be equal to

A = (1/16) a

The height of the larger prism is h.

Height of the smaller prism will be (1/4)h

The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism

The volume of the smaller prism = 2400 / (16*4)

The volume of the smaller prism = 37.5 ft³.

To know more about the Volume of Prism

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Answer:

x - 2y + 6 = 0  

Step-by-step explanation:

Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3.  Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.

Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get

2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3.  Then the slope-intercept form of the desired equation is y = (1/2)x + 3.  To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or

x - 2y + 6 = 0                                                                        

Answer: C

Step-by-step explanation:

5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)

Answer:

$135,629.37

Step-by-step explanation:

For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet

The value of the loan could come by

= $239,127 - $239,127 × 15%

= $203,257.95

The amount of interest saved is

= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)

= $135,629.37

Answer:

11 weeks

Step-by-step explanation:

He has 85 and can save 29 each week.  This must be greater than the cost of the tv

85 + 29 w > 395.50

Subtract 85 from each side

85 -85 + 29 w > 395.50-85

29w >310.50

Divide by 29

29w/29 > 310.5/29

w >10.70689655

The number of weeks must be greater than 10.7 so rounding up

He must save for at least 11 weeks

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

Answer:

y=1/4x + 16

Step-by-step explanation:

Answer:

cccccccccccccccccccccccccccc

C!

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

This is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is 2 and the y intercept is -2

Answer:

2775.9  

Step-by-step explanation:

options are

A) 578

B) 2775.9

C) 134.591

D) 31.757

Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal

0.5 = 5/10

ten times of this value = 5/10*10 = 5

Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.

In the given question

A) 578

here 5 is at hundredth place

other way to represent is is 500+70+8

B) 2775.9

here 5 is unit place and is correct option

it can be represented as

2000+ 700+ 70+ 7 + 9/10

c)C) 134.591

here 5 is tenth place after decimal

it can be represented as

100+ 30+ 5 + 5/10+9/100 + 1/1000

d)31.757

here 5 is hundredth place after decimal

it can be represented as

30+ 1 + 7/10+5/100 + 7/1000\

Hence, 2775.9  is correct choice.

Answerr:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Window is in the shape of rectangle

Area of the rectangular window = length * width

                                                     = 18 * 2

                                                     = 36 ft²

Answer:

36

Step-by-step explanation:

i got 100%(❁´◡`❁)

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

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Answer:

The answer is B. 30 seconds

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

Answer:

B

Step-by-step explanation:

Answer: c) 27:8

Step-by-step explanation:

As volume of cube is side^3

volume of cube with side 2a is 8.a^3

volume of cube with side  3a is 27.a^3

ration of volumes is 27:8

Answer:

a) we know that:

the tens digit exeeds the units digit by 3, then if we have two digits

ab.

and b, the digit for units is equal to r.

then a, the digit for tens, is equal to r + 3.

Then, if r = 4, we have that the digit for tens is r + 3 = 7

and the number is 74.

b) if n is an integer, then we know that 2*n is an even number.

Now, the next even number is always 2 units away, then the next even number to 2*n is:

2*n + 2 = 2*(n + 1)

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

8.7 cm

Step-by-step explanation:

The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)

Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

when rounded to 1 d.p.

c = 8.7

Line AB is 8.7 cm long.

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

Answer:

D

Step-by-step explanation:

Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent

KM = LM = 5

Δ MJK is isosceles ( base angles are congruent ), thus

MJ = KM = 5 , substitute value

x + 1 = 5 ( subtract 1 from both sides )

x = 4 → D

x=4

Step-by-step explanation:

all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4

Step-by-step explanation:

If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.

If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.

If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.

Hope this helps!

Answer:

If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets

Step-by-step explanation:

Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer:

c. y>x

Step-by-step explanation:

When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.

Here is what I mean by this:

Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.

x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.

Now that we have an expression which is equal to x.

We can directly replace that with the 3x in the other equation by multypling this by 3:

x = 7 - 2y → 3(x) - 1/2y = 1

3(7 - 2y) - 1/2y = 1

Now that we only have y's, we can simply the equation, and solve for y.

21 - 6y - 1/2y = 1

21 -13/2y = 1

(get rid of the constant on the left side by subtracting)

-21 -21

-13/2y = -20

(remove the denominator by Multiplying)

×2 ×2

-13y = -40

÷13 ÷13

(cancel out the coefficient by dividing)

-y = -40/13

(take the opposite of the other side to make y positive)

×-1 ×-1

y = 40/13.

Now that we have y just solve for x since we already have a term of x in the other equation:

y = 40/13 → x + 2y = 7

x + 2(40/13) = 7

x + 80/13 = 7

Then subtract both constants to find x:

x + 80/13 - 80/13 = 7 - 80/13

x = 7 - 80/13

(create like denominators, but Multipy

Step-by-step explanation:

you can split triangle in two 90-:80 triangles

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

Let the number = x

Writing the equation you have:

10x + 15 <= -17

Solve for x

Subtract 15 from both sides:

10x <= -32

Divide both sides by 10:

X <= -32/10

Simplify:

X <= -16/5 as a fraction or -3.2 as a decimal

Answer:

not sure,but I think the answer is 3 to 4