Module 15 - Homework Practice-
Personal Math Trainer
21 22 23
Find the width of a cereal box that has a volume of 5,950 cm and is 25 cm long and 34 cm high.
cm.
The width of the cereal box is

Answer:

Option 2

Step-by-step explanation:

The problem given is saying this for example 24 ÷ (2+4)

The problem you picked would be saying (2+4) ÷ 24

Option 2 is saying 24 ÷ (4+2)

Nothing is changing except the order of the numbers in the parantheses, no matter which way you put them it's still the same answer

The probability that the 12-sided solid gets 3 , 9 or 11 is P ( A ) = 1/4 and the expected number of times is n = 45

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the the 12-sided solid gets 3 , 9 or 11 be P ( A )

Now , the value of P ( A ) is

Let the number of outcomes when rolling a 12-sided solid = 12

The number of times the solid is rolled = 180 times

So , the total number of outcomes = 12 x 180 = 2160

And , the probability of getting a 3 = 1/12

The probability of getting a 9 = 1/12

The probability of getting a 11 = 1/12

So , the total probability of getting a 3 , 9 or 11 = 3/12 = 1/4

The total expected number of times = 45

Hence , the probability is 1/6

To learn more about probability click :

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Answer: b

Step-by-step explanation:

The range is the set of y-values of the function.

Answer:

X=5times (root2)/2

Step-by-step explanation:

Sin45=x/5

x=5sin45

x=5 times root2/2

Answer:

2) The number is 4, 3) The number is 36, 4) The number is 16, 5) The number is 32, 6) The consecutive numbers are 14 and 15, 7) The solution of this system is: [tex]x = 17[/tex], [tex]y = 13[/tex], 8) The solution of this system is: [tex]x = 58[/tex], [tex]y = 60[/tex].

Step-by-step explanation:

Now we proceed to solve arithmetically on each statement:

2) Statement is incorrect, correct form is: Find [tex]x[/tex] if the product of [tex]x[/tex] by 12 is 48.

Mathematically speaking, we have the following formula:

[tex]12\cdot x = 48[/tex]

[tex]x = 4[/tex]

The number is 4.

3) Mathematically speaking, we have the following formula:

[tex]\frac{3\cdot x}{6} = 18[/tex]

[tex]\frac{x}{2} = 18[/tex]

[tex]x = 36[/tex]

The number is 36.

4) Mathematically speaking, we have the following formula:

[tex]\frac{5\cdot x}{4} = 20[/tex]

[tex]x = 16[/tex]

The number is 16.

5) Mathematically speaking, we have the following formula:

[tex]\frac{x}{2} = 16[/tex]

[tex]x = 32[/tex]

The number is 32.

6) Let be [tex]n[/tex] and [tex]n + 1[/tex], whose sum equals 29. Mathematically speaking, we have the following formula:

[tex]n + (n +1) = 29[/tex]

[tex]2\cdot n + 1 = 29[/tex]

[tex]n = 14[/tex]

The consecutive numbers are 14 and 15.

7) Let be [tex]x[/tex] and [tex]y[/tex] the quantities of pink and yellow roses. Mathematically speaking, we have the following system of linear equations:

[tex]x - y = 4[/tex] (1)

[tex]x + y = 30[/tex] (2)

The solution of this system is: [tex]x = 17[/tex], [tex]y = 13[/tex]

8) Let be [tex]x[/tex] and [tex]y[/tex] the numbers of grade 6 and grade 3. Mathematically speaking, we have the following system of linear equations:

[tex]x-y = -2[/tex] (3)

[tex]y = 60[/tex] (4)

The solution of this system is: [tex]x = 58[/tex], [tex]y = 60[/tex]

Answer:

Step-by-step explanation:

3x+4(-0.5x+8)=36

3x-2x+32=36

X=36-32

X=4

Answer:

3 cups or 1.5 pints

Answer:

$6.39

Step-by-step explanation:

100-20=80 then divided by 100 which is .80

.8 times 7.99 is 6.39

hope this helps

Answer:

[tex](\sqrt{2})^3[/tex]

Step-by-step explanation:

Given the expression

[tex](x - \frac{1}{x} )^3[/tex]

Simplify

[tex](\frac{x^2-x}{x} )^3[/tex]

Given that x = 1+√2

Substitute

[tex](\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\[/tex]

Answer:

The differnce is 3 and 1/2 as 9/2 - 1 = 3 and 1/2 according to the points plotted above the diagram meaning 5 and 0 are excluded values which do not have any place within the diagram.

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

it

is

the

answer

C

Answer:you will end up with 350.00 dollars left

Step-by-step explanation: you are spending money on the thing that you are buying

Answer:

y is the total the pens produced at the factory   each week

Step-by-step explanation:

total pens produced at the factory each week   = y   (=52,000)

3/4 of the total are red ( 39,000)

Answer:

4)120

5)13

6)70

7)115

Step-by-step explanation:

Answer: 4. 120 degrees 5. 13 degrees 6. 70 degrees 7. 115 degrees

Answer:

y = 1/4x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.

Plug this value (1/4) into your standard point-slope equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.

-1 = 1/4(4) + b

To find b, multiply the slope and the input of x (4)

-1 = 1 + b

Now, subtract 1 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 1/4x - 2

This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)

Hope this helps!

Answer:

5

Step-by-step explanation:

Answer:

B) 4

Step-by-step explanation:

(x-1+2)^2=(x-1)^2+(2x-4)^2

(x+1)^2=(x-1)^2+(2x-4)^2

x^2+2x+1=x^2-x+1+4x^2-16x+16

0= 4x^2-18x+17-2x-1

4x^2-20x+16=0/4

x^2-5x+4=0

(x-4)(x-1)=0

x-4=0

x=4

hope it helps..

have a great day!!

Answer: v=85/11

Step-by-step explanation: Cross multiply to get 11v=85, divide both sides by 11, and you get v=85/11.

Hope that this helped! Have a great day!!

Answer:

21 + x = 35

x = 14

Hope this helps :)

Answer:

the answer is 0 to 1 and 3 to 4

Answer: - 9/8

Step-by-step explanation:

Answer:

$13912.50

Step-by-step explanation:

First you find how much carpet you need by finding the area of the room.

18.75*28= 525ft^2

Then multiply the amount of carpet needed by 26.50 to find the total cost.

525*26.50= 13912.50

Hope this helps!

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

Answer:Area

≈

55637.81

≈

55637.8

Area≈55637.81≈55637.8

Step-by-step explanation:

Answer:

In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12

In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x

Step-by-step explanation:

3x^2 -23x + 40 = (3x - 8) (x - 5)

3x^2 -17x + 24 = (3x -8) ( x - 3)

Answer:

CAN I ASWER THIS

Step-by-step explanation:

OKAY THANKS

Hold on, our servers are swamped. Wait for your answer to fully load.

Answer:

I recoment using the formula because its different ways its taught

Step-by-step explanation:

maybe look up different formula's

Answer:

The answer is D

Step-by-step explanation:

The y values are going up by 2

For linear equations you follow y = mx + b

M = 2

B would be 1 since that is what y is when x is 0

So it must be D

Answer:

Solution Given :

apothegm [a]=9in

perimeter [p]=13.1×5=65.5in

given

A=1/2 aP=1/2×9×65.5=294.75in²

9514 1404 393

Answer:

  45.6°

Step-by-step explanation:

The attached result was found by typing "arccos(7/10) in degrees" into a web browser search box.

Your calculator can give you the same result. The inverse cosine function often shares a key with the cosine function. It is often marked as cos⁻¹. Be sure that the angle mode is set to degrees, not radians.

Answer:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]

Required

Solve

Take LCM

[tex]\frac{x^2 - x - 132}{3}[/tex]

Expand

[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]

Factorize:

[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]

[tex]\frac{(x -12)(x+ 11)}{3}[/tex]

Hence:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]