The height of a rectangular prism is found by dividing volume, V, by the base area, B. If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

Answer:

ITS 1/2

Step-by-step explanation:

Marble's mother requires 1/2 cup of flour .

Proportion is the number which is considered in comparative relation to a whole.

Fraction is  a number expressed as a quotient, in which a numerator is divided by a denominator

According to the problem,

∴ Number of cup of flour that Marble's mother require is 2/3 part of 3/4

                       = (2/3 x 3/4) = 1/2

∴ Marble's mother requires 1/2 cup of flour .

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ΔABC and ΔACD are similar. Therefore the sides are in proportion:

[tex]\dfrac{x}{4}=\dfrac{4}{2}[/tex]

[tex]\dfrac{x}{4}=2[/tex]      multiply both sides by 4

[tex]\boxed{x=8}[/tex]

Answer:

C: 0.25  

Step-by-step explanation:

We will use conditional probability formula to solve our given problem.

[tex]P(B|A)=\frac{P(\text{A and B})}{P(A)}[/tex], where,

[tex]P(B|A)[/tex]= Probability of event B, given probability of event A.

[tex]P(\text{A and B})[/tex]= Probability of event A and event B.

[tex]P(A)[/tex]= Probability of event A.

Let us substitute our given values in conditional probability formula.

[tex]P(B|A)[/tex]= Probability that a student plays a sport given that student is a senior.

[tex]P(\text{A and B})[/tex]=The probability that a student is a senior and plays a sport = 0.05.

[tex]P(A)[/tex]= Probability that a student is a senior = 0.20.

[tex]P(B|A)=\frac{0.05}{0.20}[/tex]

[tex]P(B|A)=\frac{1}{4}[/tex]

[tex]P(B|A)=0.25[/tex]

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option C is the correct choice.

Answer:

probability that a randomly selected student plays a sport, given that the student is a senior is 0.25

Step-by-step explanation:

Let, A be an event that a student is senior.

Probability can be given as , p(A) = 0.20

B be the event where student plays a sport

Probability can be given as , p(B) = 0.15

We have given that the probability of a student is a senior and plays a sport is 0.05.

i.e p(A∩B) =  0.05

We need to find the probability that a randomly selected student plays a sport, given that the student is a senior i.e p(B/A) .

Use the formula: p(B/A) = p(A∩B) / p(A)

Plug corresponding values to get p(B/A).

p(B/A) = p(A∩B) / p(A)  = 0.05 /0.20

p(B/A) = 0.25 , this is the answer

Answer:

1) Given

2) if lines are parallel, then corresponding angles are equal

3) Substitution

4) if altenate interior angles are equal, then the lines are parallel

Answer:

1

Step-by-step explanation:

evaluate the parenthesis before raising to power 66

3² = 9 and 2³ = 8, hence

(3² - 2³)= (9 - 8) = 1

[tex](3^2-2^3)^{66}[/tex] = [tex]1^{66}[/tex] = 1

Answer:

van : 12 miles per gallon

cabinets: 3 cabinets a day

retail job for $500

Step-by-step explanation:

van: 240 miles/20 gallons = 12 miles per gallon

cabinets: 24/8= 3

jobs: $500 for 40 hours and $12 times 40 hours gets you $480

first job pays $20 bucks more

Ques 1)

A van travels 240 miles on 20 gallons of gas.

This means that 20 gallons of gas is used to travel 240 miles.

This means that:

1 gallon of gas is used to travel  :

              [tex]\dfrac{240}{20}=12\ miles[/tex]

Hence, it travels 12 miles per gallon.

Ques 2)

Carlos installed 24 wooden cabinets in 8 days.

i.e. in 8 days he install 24 cabinets

This means in 1 day he will install

[tex]\dfrac{24}{8}=3\ cabinets[/tex]

On the average, he will  install 3 cabinets each day.

Ques 3)

100 sheets cost $ 2.50

This means that cost of 1 sheet is: $ 0.0250

( since,   [tex]\dfrac{2.50}{100}=0.0250[/tex] )

150 sheets at $3.50

This means that cost of 1 sheet is: $ 0.0233

( since,  [tex]\dfrac{3.50}{150}=0.02333[/tex] )

This means that the cost per sheet is cheaper in the buy:

    150 sheets at $3.50.

Ques 4)

Pack A has 36 cookies for $5.90.

This means that cost of 1 cookie is: $ 0.16388 )

(  since,  [tex]\dfrac{5.90}{36}=0.16388[/tex] )

and  Pack B has 24 cookies for $4.10.

This means that cost of 1 cookie is: $ 0.170833

( since, [tex]\dfrac{4.10}{24}=0.170833[/tex] )

The cost per cookie is cheaper in Pack A.

Hence, the pack which has cheaper cookies is: Pack A.

Ques 5)

One is in retail and pays $500 for a 40-hour work week.

This means that the payment for 1 hour is: $ 12.5

( since, [tex]\dfrac{500}{40}=12.5[/tex] )

The other job is at a restaurant and pays $12 an hour.

This means that the job which has a higher hourly rate is:

In retail which pays $500 for a 40-hour work week.      

( since 12.5>12  )        

Answer:

The answer my frind is D

Step-by-step explanation:

When you divide,

you must

blablabla

The first step in solving the equation 4x - 0.3 = 1.9 is to D) add 0.3 to both sides of equation, isolating the term with the variable 'x'.

The question is asking how to begin solving the equation 4x - 0.3 = 1.9 for the variable x.

This balances the equation and moves us closer to discovering what x is, so the correct option would be 'D. Add 0.3 to both sides of the equation'.

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Answer:

For 46•.029

First you would show how you multiply 9 times six then 9 times 4 then you put it on the bottom

After that you would do 2 times six then 2 four then you put it one space down from the other aanswer and add them

Sorry ignore this if it’s complicated

Step-by-step explanation:

Answer: 81 in. (6.75 ft.) by 60 in. (5 ft.)

First, convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. = 324 in.

20 ft. x 12 in. = 240 in.

This also means that the scale converts to 1/4 in. = 12 in.

Now, take your 324 in. and 240 in. and apply them to the scale.

For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) x

1/4 in. =81 in. [or 6.75 ft.]

240 in. (20 ft.) x

1/4 in. = 60 in. [or 5 ft.]

Step-by-step explanation: If incorrect sorry, Hope this helps!!

Step-by-step explanation:

-7(k-8)+2k Use distributive property.

-7k+56+2k Combine like terms.

-5k+56

Mother knows best :)

Answer:

Everything should simplify down to -9a-3 (your answer)

Step-by-step explanation:

Distributive property is basically multiplying the outside number into the inside parenthesis ().  Basically #(a)--->#a        or   #(a+b)---> #a+#b

Since you're not ask to solve for anything but simplify, just multiply 3 to -3a and -1.....

so 3*-3a is -9a and 3*-1 is -3      and you have 3(-3a-1)= -9a-3

Final answer:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It helps simplify expressions and perform calculations more efficiently in algebra and arithmetic.

Explanation:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It states that for any numbers a, b, and c, the expression a * (b + c) is equal to a * b + a * c. This property helps us simplify expressions and perform calculations more efficiently.

For example, if we have the expression 3 * (2 + x), we can use the distributive property to simplify it to 3 * 2 + 3 * x, which becomes 6 + 3x. This allows us to break down the calculations into smaller steps and avoid errors.

The distributive property is one of the fundamental properties of multiplication and is widely used in algebra and arithmetic.

Answer:

300-124=176

I think this is corroct

Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.

Answer:

1 in 65 chances.

Step-by-step explanation:

Answer:

Long Beach, California, tax = 10.25%

Answer:

1/4

Step-by-step explanation:

The probability of getting a heads is 1/2

The probability of getting an odd number

1,3,5

-----------   =   3/6  = 1/2

1,2,3,4,5,6  

Since they are independent events, we multiply the probabilities

1/2 * 1/2 = 1/4

Based on the information given, it can be concluded that 35% of the circle is shaded, which is equivalent to the fraction 7/20.

To understand what area of the circle is shaded, let's first calculate how much is not shaded:

First area: 1/4 = 0.25

Second area: 2/5 = 0.4

Total of the area that is not shaded: 0.65

The total area shaded: 1 -0.65 = 0.35

This means that the total shaded is 0.35. Now, let's convert 0.35 to a fraction:

[tex]\frac{35}{100} = \frac{7}{20}[/tex]

Based on this, the shaded area is 7/20

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Answer:

10 miles

Step-by-step explanation:

Thinking process:

The distance that Maria rides: 4 miles

Total time by Maria = 2.5 hrs

The friend   = 2hrs

Answer:

Essence is 140 flyers per hour

Raizon is 80 flyers per hour

Step-by-step explanation:

In essence (if you see what I did there) a unit rate (strictly in this context) is how much work is done for 1 hour of time. To find this, we simply divide the number of flyers by the number of hours of worked.

So, for Essence:

[tex]\frac{420}{3} = 140[/tex]

The units for this problem will be flyers per hour. So, Essence has a unit rate of 140 flyers per hour.

For Raizon:

[tex]\frac{640}{8} = 80[/tex]

Raizon has a unit rate of 80 flyers per hour.

Answer:

Cauchy problem

Step-by-step explanation:

If you are talking about 'initial value problem', it is when talking about differential equations, an initial value problem is called a Cauchy problem by some authors as well. This is an ordinary differential equation together with a specified value which is called the initial condition. I really hope this helps!

The initial value is also known as the y intercept

The initial value, also known as the y-intercept or constant term, is a fundamental concept in mathematics, particularly in linear equations or functions. It represents the starting point or baseline on a graph, indicating the value of  x is zero.

The y-intercept is where a line intersects the y-axis and serves as a reference for the function's behavior, influencing its direction and movement on the coordinate plane.

Hence we can say that The initial value is also known as the y intercept

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He is buying one large tree, so subtract the cost of a large tree from the total:

1400 - 200 = 1200

He can spend 1200 on small trees.

Divide 1200 by the cost of a small tree to find how many small trees can be bought:

1200 / 150 = 8

He can buy 8 small trees.

Total number of trees = 8 small + 1 large = 9 total

Answer:

x is all real numbers

Step-by-step explanation:

6 + 5|2x -3| ≥ 4

The first step is to subtract 6 from each side

6 -6+ 5|2x -3| ≥ 4-6

5|2x -3| ≥ -2

Now divide each side by 5

5/5|2x -3| ≥ -2/5

|2x -3| ≥ -2/5

Absolute values are always positive.  Our absolute value is greater than a negative number.  It is always true.  X can be any number and our absolute value will still be greater than -2/5.

x is all real numbers

Answer:

13/30

Step-by-step explanation:

5/6 -2/5

We need to get a common denominator of 30

5/6 *5/5 = 25/30

2/5 * 6/6 = 12/30

5/6 - 2/5

25/30 - 12/30

13/30

Answer:

13/30

Step-by-step explanation:

First find their least common multiple. ( you can list it out)

6= 6,12,18,24,30

5=5,10,15,20,25,30

LCM= 30

5/6= 25/30

2/5=12/30

25/30 - 12/30= 13/30

Answer:

Income = 637

Step-by-step explanation:

Income = weekly salary + commission

commission = 6.5% * sales

commission = .065* 4800

                     = 312

Income = weekly salary + commission

Income = 325+312

Income = 637

The distance between the points (-3,-4) and (5,4) is approximately 11.31 units, and the distance between the points (-3,5) and (0,1) is exactly 5 units.

To find the distance between two points in a plane, you can use the distance formula derived from the Pythagorean Theorem, which is

d² = (x2 - x1)² + (y2 - y1)²

Let's calculate the distances for the given pairs of points.

Distance between (-3,-4) and (5,4)

d² = (5 - (-3))² + (4 - (-4))²

d² = (8)² + (8)²

d = 64 + 64 = 128

d = √128

≈ 11.31

Distance between (-3,5) and (0,1)

d² = (0 - (-3))² + (1 - 5)²

d² = (3)² + (-4)²

d = 9 + 16 = 25

d = √25

d = 5

x            40

------ = --------

955    100

Cross multiply

955x40=38200

38200÷100=382

u get 382

955 -382= 573

$573

So here are the rules with change by percentage (m = percentage in decimal form, n = original, and r = new):

Since this is a price reduction, we will be following the second rule. In this case:

[tex]40\%=0.4\\\\(1-0.4)*955=r\\0.6*955=r\\573=r[/tex]

In short, the reduced price of the computer is $573.

5

180°-(90°+68°)=180°-158°=22°

6

180°-22°=158°

Answer:

22° and 158°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in the triangle from 180

∠5 = 180° - (90 + 68)° = 180° - 158° = 22°

∠5 and ∠ 6 form a straight angle, thus the angles are supplementary

∠6 = 180° - ∠5 = 180° - 22° = 158°

Answer:

D) x = 14

Step-by-step explanation:

x/2 = 7

We want to isolate x

We can multiply by 2 on each side.

2 * x/2 = 7*2

x = 14

Answer:

14

Step-by-step explanation:

Well if you simplify or divide how ever you want to say it, it will be simplified to 7.