Mathematics Middle School

What is the approximate difference in the amount of wax needed to make a candle from each of these molds? (Use π = 3.14.)
a) 4.19 cubic inches
b) 10.4 cubic inches
c) 12.56 cubic inches
d) 20.93 cubic inches

Answers

Answer 1

Final answer:

To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we can calculate the volume of wax using the formula for the volume of a cylinder. The approximate differences in volume can be calculated by subtracting the volume of mold a) from the volumes of molds b), c), and d).

Explanation:

To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we need to calculate the volume of wax required for each mold. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Using the given values, we can calculate the volumes as follows:

Volume for mold a) = 3.14 × (sqrt(4.19/3.14))² × 1 = 7.98 cubic inches

Volume for mold b) = 3.14 × (sqrt(10.4/3.14))² × 1 = 35.58 cubic inches

Volume for mold c) = 3.14 × (sqrt(12.56/3.14))² × 1 = 50.24 cubic inches

Volume for mold d) = 3.14 × (sqrt(20.93/3.14))² × 1 = 111.51 cubic inches

The approximate differences in the amount of wax needed to make a candle from each of these molds are:

Approximate difference between mold a) and b) = 35.58 - 7.98 = 27.6 cubic inches

Approximate difference between mold a) and c) = 50.24 - 7.98 = 42.26 cubic inches

Approximate difference between mold a) and d) = 111.51 - 7.98 = 103.53 cubic inches

Related Questions

Which table could be a partial set of values for a linear function?

Answers

The fourth one because both the x and y variables increase at the same rate.

Answer:

Table 4

Step-by-step explanation:

As we know that

A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.

Now in the fourth table the values of x and y are given as show below:

  x          y

  0.0      0.0

  1          0.5

  2          1.0

  3          1.5

As we can see as the value of x increases by 1 from its previous value the value of y increases by 0.5 from its previous value. This trend remains the same throughout the given table.

So, we can say the partial set of values given table 4 represent the Linear Function

Brook paid $45 for a candle making course. She spent $106 for wax and supplies , but later returned one $8 candle mold. Write and find out the value of an integer expression to show the change in the amount of money she has . If brook sells her candles for $9 each how many will she have to sell before she makes a profit

Answers

She spent $143 after returns and to make a profit at $9 dollars per candle, she would need to sell 16 Candles. molly ringwald tho.

mary read 240 pages of the 400 pages in her book.what percentages of the page ls in her book did mary read?

Answers

240 : 400 x 100 = 60%

Write a few sentences about different ways to show subtraction for a problem like 32 - 15

Answers

32-15 first you would have to subtract the 2 and the 5 but you will have to borrow from the three make the 3 a 2 and make the 2 a 20 then  subtract 5 - 20 is 15 so carry the 1 to the 2 and bring down the 5 so now 1 - 2 is 1 + the 1 = 25 :)
Mike had 32 chocolate and ate 15 how many does he have now.

Mike passed out 32 pieces of candy and only 15 of them got eaten how  many are left.
Mike had 32 pets he gave 15 away how many does he have now

2/5 equals 24 over 144 are the fractions equivalent

Answers

0.16666666666 in decimal, 
in percent 0.16666666666,
and in fraction 2 5/8
Hop That Helps!!! 

Nate ordered a pizza to be delivered. The bill with 5% tax and %20 delivery fee was $24. What was the original price ?

Answers

The first thing you will need to do is add up 20% and 5%. So if tax and delivery fees were 25% of the final cost, then the original price of the pizza will be 75% of $24. So, the original price would have been $18

Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spent on each cost as a percent, fraction, and decimal.
(do question 22, please)

Answers

FOOD:
Fraction = 1/4
Decimal = 0.25
Percent = 25%

RENT:
Fraction = 6/10
Decimal = 0.60
Percent = 60%

TRANSPORT:
Fraction = 3/20
Decimal = 0.15
Percent = 15%

What is the solution to the given system of equations?

y=4x-3

y=-x-13

Answers

4x - 3 = -x - 13
4x + x = -13 + 3
5x = -10
x = -10/5
x = -2

y = 4x - 3
y = 4(-2) - 3
y = -8 - 3
y = -11

solution is (-2,-11)

The solution to system of equation  y = 4x - 3 and y = - x - 13 is (- 2, - 11).

What are the types of solutions to a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, A system of equations y = 4x - 3 and y = - x - 13.

If we subtract these two equations,

  y = 4x  - 3

- (y = -x - 13)

__________

0 = 5x + 10.

5x = - 10.

x = -2 and hence y = - 11.

learn more about the system of equations here :

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Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of the pizza, how much pizza is left?

A) 1/4
B) 1/3
C) 1/21
D) 5/21

Answers

he has eaten 7/21 already. if he eats 9/21 from the 14/21 left, he will have 5/21 left. the answer is d

Answer:

Option D) 5/21 pizza is left.

Step-by-step explanation:

Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.

Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.

Therefore pizza eaten by Bill = x - 2x/3 = x/3

Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is

x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21

So 5/21 part of pizza is left.

To stay properly hydrated, a person should drink 32 ounces of water for every 60 minutes of exercise. How much water should Damon drink if he rides his bike for 135 minutes.

Answers

72 as Damon spend 2 and 15 minutes exercising so for the two dull hours you add 64 now that done and as 15 is 1/4 of 60 you add 8 which is 1/4 of 32 and get 72

a variable whose value is greater than zero

Answers

it will be a Positive Variable
a variable can be anything.a can equal to 4 or 5. -A would be a negative variable I think

True or false to halve a number you divide it by four

Answers

False; halving is dividing a number by two, not four.

I hope I helped! :)
When you divide a number by four, you are effectively dividing the number by two, two times!

Or multiplying it by 1/4 or 0.25

painter A charges $376 plus $12 per and painter B charges $280 plus $15 per hour. in how many hours will they cost the same

Answers

In 32 hours they will cost the same

Answer:

32 hours

Step-by-step explanation:

Let after x hours the charges of A and B are same,

Given,

For painter A,

Fixed charges = $ 376,

Additional charges per hour = $ 12,

So, the total charges for x hours = ( 376 + 12x ) dollars

For painter B,

Fixed charges = $ 280,

Additional charges pet hour = $ 15,

So, the total charges for x hours = ( 280 + 15x ) dollars

Thus,

376 + 12x = 280 + 15x

12x - 15x = 280 - 376

-3x = -96

x = 32

Hence, for 32 hours their cost will be same.

Jane Andrew and Maria pick apples Andrew picks three times as many pounds is Maria Jane picks two times as many pounds is Andre the total weight of the Apple's is 840 pounds how many pounds of the apples does Andre pick.

Answers

To solve the apple picking problem, we assigned variables and formulated an equation based on the relationships between the amounts each person picked. Solving the equation revealed that Andrew picks 252 pounds of apples.

Let Maria's apple pick be x pounds. According to the question, Andrew picks three times as many apples as Maria, which makes Andrew's pick 3x pounds. Jane, on the other hand, picks two times as many apples as Andrew, resulting in Jane's pick being 2(3x) or 6x pounds. Now, we know that the total weight of the apples picked by all three is 840 pounds.

We can express this as an equation:

x + 3x + 6x = 840

This simplifies to 10x = 840.

To find x, we divide both sides by 10:

x = 840 / 10

x = 84 pounds

Since Andrew picks 3x pounds, we multiply 84 by 3 to find Andrew's pick:

Andrew's pick = 3 × 84 = 252 pounds of apples.

Which shows the correct word and expanded forms for the decimal?

9.057



A.


nine and fifty-seven thousandths
9 + 0.05 + 0.007


B.


nine and fifty-seven thousandths
9 + 0.5 + 0.07


C.


nine and fifty-seven hundredths
9 + 0.05 + 0.007


D.


nine and fifty-seven hundredths
9 + 0.5 + 0.07

Answers

Try and remember your place values!

An easy way is that smaller numbers, have larger names (im sure there are other ways!)

0.1  - tenths  (like how one place value after 1 is tens)
0.01 - hundredths (2 place values after 1 is hundred)
etc.

Also remember that 10 of one place value will be 1 of the next up.
 
In your case the answer is A.  

8th grade math equation of the line in slope intercept form

Answers

y = 2x.
The slope is 6/3, which simplifies to 2.
the y intercept is 0.

is 0.166666667 a terminating decimal or repeating decimal

Answers

It's a repeating decimal but it rounds the last number so it's still a termainating decmial
0.166666666667 is a repeating decimal

Andy has 5 pots, and each pot can hold 3/8 pound of soil. How much soil does he need to fill all of the pots?

Answers

Final answer:

Andy needs 1.875 pounds or 15/8 pounds of soil to fill all his pots. This is found by multiplying the weight of soil one pot can hold (3/8 pound) with the total number of pots (5).

Explanation:

This question relates to the topic of multiplication in mathematics. It requires you to find the total weight of soil needed to fill all of Andy's pots. Every pot holds 3/8 of a pound of soil. To find out how much soil Andy needs, we can multiply the weight one pot can hold by the total number of pots.

Here are step-by-step instructions:

First, identify the amount that one pot can hold, which is 3/8 of a pound of soil.Next, find out how many pots Andy has, which is stated as 5 pots.To find the total amount of soil required, multiply the amount per pot with the total number of pots (3/8 * 5).

The answer will be 15/8 pounds or if you prefer decimals, 1.875 pounds of soil is needed to fill all the pots.

Learn more about Multiplication here:

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How is finding a unit rate similar to solving a proportion

Answers

the both involve Fractions 
A unit rate is a quantity per one unit. For example, miles per hour (mi/h). The "one unit" is 1 hour.
However, 10 miles per 2 hours (10 mi/2h) would not be a unit rate because it is per 2 hours, not 1. The unit rate for 10 mi/2h would be 5 mi/h.

You can find the unit rate by simply dividing the numerator by the denominator. (The fraction bar is a division bar!)
In simplifying 10 mi/2h, I divided the numerator (10mi) by the denominator (2h).
10 divided by 2 is 5, so the unit rate is 5 mi/h.

You can also think of this as a proportion. Because for the unit rate you need to find the new quantity over one unit of measurement, the new rate is x over one hour. 
[tex]\frac{10mi}{2h} = \frac{x}{h} \\ \\ (2h)x = (10mi)h \\ x = 5mi/h[/tex]

Mr. Li has 16 pencils. He gives 9 pencils top some students. How many pencils does Mr. Li have now?

Answers

16 - 9 = 7
7 pencils.

is y=4x+2 linear if so write the equation in standard form and give the values of A B and C

Answers

stander form: 4x-y=-2
A:4
B:1
C:-2

I have 453 grams of strawberries I have 23 grams left how many grams of strawberries are left

Answers

The answer is 430 :)

To find out how many grams of strawberries are left, subtract the used grams from the total grams. Therefore, 430 grams of strawberries are left.

To determine how many grams of strawberries are left, we need to subtract the remaining grams from the total amount:

Start with the total weight of the strawberries: 453 grams. Subtract the amount already used: 453 grams - 23 grams. Calculate the result: 453 grams - 23 grams = 430 grams.

So, 430 grams of strawberries are left.

Tyler made a picture graph to show students favorite colors. this is the key for his graph. each picture equal 3 votes. if 12 students voted for green, how many pictures should there be in the green row of the graph?

Answers

If each picture equals 3 votes and 12 students voted for green then there should be 4 pictures since 12÷3=4 

Answer:12 pictures


Step-by-step explanation:


dani uses yhe table to help her convert measurements when she is sewing. describe the relationship between the number of inches and the number of feet.

Answers

There are 12 inches in 1 foot. 12in=1ft
12 inches equals 1 ft

9/20 divided by 4/15

Answers

First u gotta do 9/20 times 15/4. that will be your answer. I got 135/80. then you simplify. Its about 1 2/3

Mr.Calzada buys flags for his store.Each flag cost $28.How many flags can he buy for $350?What does the remainder represent?

Answers

the remainder is how much flags she needs to buy
The answer is 12.5 because it is a remainder

If a line connected point S to point Q, what would be the slope of the line?
A) 3
B) 3/2
C) 2/3
D) -2/3
the first graph
What is the solution to the system of equations shown in the graph?
A) (0, 5)
B) (-2, 1)
C) (0, -1)
D) (1, -2)
the second graph

Answers

It rises 15 and goes over 10.  Slope is rise/run.  So 15/10 or 3/2.  
The solution to #2 is where they intersect. (-2,1)

Answer:

Ques 1)

B) 3/2

Ques 2)

B) (-2,1)

Step-by-step explanation:

Ques 1)

We know that the coordinates of points S are (-2,-8)

and the coordinates of the point Q are: (8,7)

We know that the slope of a line passing segment with end points (a,b) and (c,d) are given as:

[tex]slope=\dfrac{d-b}{c-a}[/tex]

Here we have:

(a,b)=(-2,-8) and (b,d)=(8,7)

Hence, the slope is:

[tex]Slope=\dfrac{7-(-8)}{8-(-2)}\\\\Slope=\dfrac{7+8}{8+2}\\\\Slope=\dfrac{15}{10}\\\\Slope=\dfrac{3}{2}\\(Since\ both\ the\ numerator\ and\ denominator\ are\ divisible\ by\ 5)[/tex]

Hence, the slope of a line connecting point S to point Q is:

3/2.

Ques 2)

We know that solution of a system of equation is the point where the two system meet if it has a unique solution.

From the graph of the system of equation we could observe that the two lines intersect each other in the second quadrant and we know that the point in the second quadrant has x-value negative and y-value positive.

Hence, the point that is the solution of the given system of equations is:

B) (-2,1)

Given ΔABC : ΔDEF, find x.

Answers

the answer is twelve

The value of x is 12.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔABC : ΔDEF

We can write as,

BA/AC = ED/DF

8/12 = x/18

x = (8 x 18) / 12

x = 2 x 6

x = 12

Thus,

x is 12.

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Wind can cause air to move at speeds up to 130 meters per second. At that rate, how long would it take air to travel 5,850 meters?

Answers

It would take the air 45 seconds to travel 5,850 meters.

(SLOPES) Am I doing it right?

Answers

Slope is the rise over run. Yea, you're doing it right
You should move it over one and down one
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