Dominic has a block of clay that is 24.5 inches long, 12.5 inches wide, and 8 inches tall. Dominic will use the clay to make vases. If each vase requires 50 in3 of clay, what is the greatest number of vases Dominic can make?

Answers

Answer 1

Answer: 49

Step-by-step explanation:

Given

The dimension of the block is [tex]24.5\ in.\times12.5\ in.\times 8\ in.[/tex]

Each vase requires [tex]50\ in.^3[/tex] of clay

The volume of clay block is

[tex]\Rightarrow V=24.5\times 12.5\times 8\\\Rightarrow V=2450\ in.^3[/tex]

Number of vases that can be made

[tex]\Rightarrow n=\dfrac{2450}{50}\\\\\Rightarrow n=49\ \text{Vases}[/tex]

Thus, 49 vases can be made


Related Questions

22. The first 5 terms of a number pattern are shown below.
4, 9, 14, 19, 24,
Which expression is equivalent to the value of the nth term in the pattern?
5n -1
57
n +5
5n +3

Answers

a) 5n- 1
the patterns going up in 5s and to get back to 4 you need to - 1

The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first 5 terms of a number pattern are shown below.

4, 9, 14, 19, 24

The first term of the sequence is 4 and the common difference between the terms is given as,

d = 9 - 4

d = 5

The expression is equivalent to the value of the nth term in the pattern and will be

aₙ = 4 + (n - 1) x 5

aₙ = 4 + 5n - 5

aₙ = 5n - 1

The expression is equivalent to the value of the nth term in the pattern is aₙ = 5n - 1. Then the correct option is A.

More about the arithmetic sequence link is given below.

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8 less that the product of 2 and a number is 16. find the number

Answers

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

The ratio of boys to girls in a class is 4:5

A) what fraction of the girls are boys?

B) what fraction of the class are girls?

Answers

Answer:

1/5

Step-by-step explanation:

bahaoapapkaknisegheusi

Which shapes would appear in the two-dimensional net of a hexagonal pyramid?
O 2 hexagons and 4 triangles
2 hexagons and 4 rectangles
1 hexagon and 6 triangles
1 hexagon and 6 rectangles

Answers

Answer:

the answer is C, 1 hexagon and 6 triangles.

Step-by-step explanation:

i just did it.

Answer:

C!!!

Step-by-step explanation:

just did it

what is 2,36+5,4-3,47 equal to​

Answers

Answer:

4.29

Step-by-step explanation:

You want to make a retangular prism out of carboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot. What is the surface area of the rectangular prism? How much will it cost to make teh retangular prosm out of cardboard?

Answers

Answer:

a) 24 square feet

b) $12

Step-by-step explanation:

You want to make a retangular prism out of cardboard. The base is 3 feet by 4 feet. The height is 2 feet. You have $5.00 and cardboard costs .10 per square foot.

a) What is the surface area of the rectangular prism?

Length × Width × Height

3 feet × 4 feet × 2 feet

= 24 square feet

b).How much will it cost to make the rectangular prism out of cardboard?

1 ft² = $0.5

24 ft² = x

Cross Multiply

x = 24ft² × $0.5/1 ft²

x = $12

It would cost $12 to make the rectangular prism out of the cardboard. You do not have sufficient money to make it

Which statement is true? I am giving a lot of points away for this so please provide the correct answer and an explanation.

Answers

Answer:

the second option from the top

Answer:

2nd answer

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute

After 5 minutes the tank went from 30 to 20 (30-10)

10÷5=2 gallons per minute

How many solutions does the system have ?

Answers

Answer:

Infinite

Step-by-step explanation:

[tex]4x + 2y = 8 =>2x + y = 4[/tex]

[tex]2x + y = 4\ is\ equal\ to\ 2x + y = 4[/tex]


7. Write an inequality: Twenty-two more than four times a number is less
than 82.
a) 22 + 4n ≤ 82
b) 22 + 4n > 82
c) 22 + 4n < 82
d) 82+22n ≥ 4

Answers

Answer is C because it's less than.

The answers is C) because it’s less than

HELP IS FOR TODAYY
one month period.
The histogram below represents the high temperatures recorded each day over a one month period.

A)There are 30 days will put it on the histogram
B)There were eight days the had a daily high temperature of at least 86°F
C)There were 27 days that had a daily high temperature lower than 90°F
D)If the medium were to be calculated at 82.5° then a feasible mean would be 81.6
E)The data is skewed right

Answers

I believe the correct answer is B

7. If AMIJ = AKIL, identify any corresponding congruent sides
and angles for the triangles.
More than one answer may be correct; select all that apply.
HELP I DONT GET IT

Answers

Mij kil are the correct answers

PLS HELP ILL GIVE BRAINLIEST

1. What is the radius of the red circle?

2. What is the radius of the blue circle?

3. What is the equation for the red circle?

4. What is the equation for the blue circle?

Answers

Answer:

n

Step-by-step explanation:

n

Which choice represents the fraction below as a single exponential expression ? (5 ^ 7)/(5 ^ 4)

Answers

Answer:125

Step-by-step explanation:hope this help

Find the value of C

Answers

Answer:

Cos 72 = 15/c

0.3090 =15/c

C=48.54

URGENT PLEASE HELP ME !!!!

Answers

Step-by-step explanation:

2x + (x + 96) = 180

3x + 96 = 180

3x = 84

x = 28

Therefore,

angle 1 = 2x = 58°

angle 2 = x + 96 = 124°

Plssss help me cuhhh

Answers

Answer:

i believe your answer is C. Rectangle

Step-by-step explanation:

I hope this helps! :D

maybe consider brainliest?

The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?

Answers

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

hope this helps

What is the surface area of the cylinder?

A. 289pi
B. 937pi
C. 1,156pi
D. 578pi

Answers

Answer:

D. 578pi

Step-by-step explanation:

Sorry if that's wrong

Graph the line below:
y = -2x + 7

Answers

Answer:

Below.

Step-by-step explanation:

When x = 0, y = 7

and when y = 0, x = 3.5.

So plot the 2 points (0, 7) and (3.5, 0) on the grid and draw a straight  line through these 2 points.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

How to graph a line?

To graph a line we follow the following steps:

Find the y-intercept = b of the equation y = mx + b.Plot the y-intercept. The point will be (0, b).Plot the x intercept. The point  will be (x, 0). Connect those two points with your line.

According to the given question.

We have a equation of line

[tex]y = -2x+7[/tex]

The above equation of line is already in the slope intercept form.

So, the graph the line y = -2x + 7.

We first find the y intercept.

On comparing the above equation with y = mx + b, we get y = 7.

⇒ The point (0, 7) is our y intercept.

Therefore, we plot the y intercept or mark the point (0, 7) on graph.

Then we find the x intercept.

[tex]0 = -2x + 7[/tex]   ( substitute y = 0)

⇒[tex]x = \frac{7 }{2}[/tex]

⇒ ([tex]\frac{7}{2}[/tex], 0 ) is our x intercept.

Connect these points [tex](\frac{7}{2} ,0)[/tex] and [tex](0, 7)[/tex] through a straight line. And this line represents [tex]y = -2x + 7[/tex].

 

Find out more information about how to graph a line here:

https://brainly.com/question/27916124

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can yall help me do this

Answers

Answer:

i think its 43

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the area of the triangle alone is 9 for the whole thing it's 63 in order to find an area of a triangle you multiply 3 and 6 then u divide that by 2

The following data represents the high temperatures for the next several days in Buffalo, NY: {17, 26, 3, 13, 20, 34, 30, 41} Find the mean absolute deviation. If necessary round to the nearest hundredth.

Answers

The mean would be 23, because the mean is all of the numbers added together, and then the sum divided by however many numbers there are. So all of those temperatures added together and then divide it by 8! Hope this helps

Which description best represents the inequality:
8x < x + 6?

Answers

Answer:

x < 6/7

Step-by-step explanation:

Your question doesn't say what your choices are, so I'm assuming the inequality should be solved for x... which values of  x  make 8x < x + 6?

Subtract  x  from both sides, then divide by 7.

7x < 6

x < 6/7

I need help again pls.

Answers

Answer:

1) 300

Step-by-step explanation:

2(108+18+24)= 150(2)= 300

I think that the answer would be 150

A business wants to try out two new shampoo brands (brand A and brand B) on customers who use the business's existing shampoo brand. The best method for this study is
.

Answers

Answer:

B) Experiment

Step-by-step explanation:

Answer:

Experiment

Step-by-step explanation:

PLATO

How does the graph of the function g(x)=7^x+5 differ from the graph of f(x)=7^x?

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given g(x) = [tex]7^{x}[/tex] + 5

Then this is the graph of f(x) shifted vertically up by 5 units

Factor the following expression using the GCF: 2dr – 4r.

2 r( d – 2)
2 r( d – 1)
r(2 d – 4)
2( dr – 2 r)

Answers

Factor out the GCF 2r
2r(d-2)
The first one is the right answer
Do u give brainiest?

For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices (milk, juice, or water).

How many different combinations could students create using one meat, one potato and one drink?

Answers

Answer: The answer is 15

Jenny is making a quilt from the pattern blocks shown below.
Which block has a pattern with exactly 4 lines of symmetry? (

Answers

Answer:

A

Step-by-step explanation:

he angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A= 5x - 5^\circ}∠A=5x−5

start color #11accd, angle, A, equals, 5, x, minus, 5, degrees, end color #11accd \qquad \greenD{\angle B= 3x + 13^\circ}∠B=3x+13

Answers

Answer:

<B = 40degrees

x = 9

Step-by-step explanation:

Find the diagram attached. From the diagram, <A = <B (corresponding angle)

5x - 5 = 3x+ 13

5x - 3x = 13 + 5

2x = 18

x = 18/2

x = 9

Since <B = 3x+13

<B = 3(9) + 13

<B = 27 + 13

<B = 40degrees

Answer:

It was 48

Step-by-step explanation:

Did it on khan hope this helps :)

51 is 340% percent of what number?

Answers

Answer:

51 is 340% of 1500

Step-by-step explanation:

Answer:

15.

Step-by-step explanation:

have  a great day!

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