A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister? 84 cubic inches 136 cubic inches 220 cubic inches 304 cubic inches

Answer: 216 square units

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Explanation:

A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.

If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer

the side length 3 becomes 3*6 = 18

the side length 4 becomes 4*6 = 24

the side length 5 becomes 5*6 = 30

The new perimeter is 18+24+30 = 42+30 = 72

The last step is to find the area. The two legs of this triangle are the base and height

area = 0.5*base*height

area = 0.5*18*24

area = 9*24

area = 216

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Or you could find the area of the 3-4-5 right triangle to get

area = 0.5*base*height = 0.5*3*4 = 6

then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.

Answer:

Neither

Step-by-step explanation:

The function is neither because if it was even it would follow the rules of:

[tex]f(-x)=f(x)[/tex]

and if it was odd it would follow the rules of:

[tex]-f(x)=f(-x)[/tex]

but instead it follows the rule:

[tex]-f(x)\neq f(-x))\\[/tex]

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

According to the question, data provided in the question is as follows

Given ratio

[tex]\frac{3}{4}[/tex] a pound of direct apples

[tex]\frac{1}{2}[/tex] a pound of dried pears

We can right

[tex]\frac{3}{4} : \frac{1}{2}[/tex]

Now we multiplied it to determine the amount of dried apples that required per pound of dried pears

[tex]\frac{3}{4} \times \frac{1}{2}[/tex]

[tex]\frac{3}{8}[/tex]

Hence the above is the answer and the same is to be considered by taking the pound of direct applies to pound of direct pears so that the correct amount could arrive

The amount of dried apple needed per pound of dried pear is 3/8

The question tells us that

3/4 pound of dried apples : 1/2 pound of dried pears

We are asked to find the amount of dried apples needed per pound of dried pears. To do this, we multiply both ratio together to get it in 1. This means that

3/4 * 1/2 = 3/8.

This then mean that for every pound of dried pear, 3/8 pound of dried apple was mixed.

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Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

adjacent angles add up to 180 degrees (supplementary angles)

Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

Answer:  The answers are in the steps.

Step-by-step explanation:

A standard form equation says that Ax + By=C

SO we have to set all the equations to be like that.

43.  y = 12x     Subtract 12x from both sides.

    -12x + 1y = 0      In this case -12  is A, 1 is B , and 0 is C.

44 .  -4y =3x -24      subtract 3x from both sides

     -3x - 4y = -24     A is -3 , B is -4, and  C is -24  

45. 4x = 8y - 12         Subtract 8y from both sides.  

   -8y     -8y

  4x - 8y = -12         A is 4, B is -8 and C  is -12  

46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.

y = 65(8)

y= 520  

They traveled 520 miles in 8 hours .

Answer:

[tex]\huge\boxed{4}[/tex]

Step-by-step explanation:

=> [tex]\sqrt{b^2-4ac}[/tex]

Given that a = 3 , b = 8 and c = 4

=> [tex]\sqrt{(8)^2-4(3)(4)}[/tex]

=> [tex]\sqrt{64-48}[/tex]

=> [tex]\sqrt{16}[/tex]

=> 4

Answer:

Hey there!

Let x be the number.

Thus, we have [tex](x-9)^3[/tex]

Hope this helps :)

Answer:

0.6875

Step-by-step explanation:

11 divide 16 and you get 0.6875

Answer:

The answer is 11/16=0.6875.

Answer:

Yes, line L and line K are parallel because the slopes are equal.

Step-by-step explanation:

From the question given:

Line L contains point A(2, 2) and B(3, 6)

Line K contains point C(0, 5) and D(1, 9)

To know if the lines are parallel, we need to determine the slope of each line.

The slope of each line can be obtained as follow:

1. Determination of the slope of line L.

Line L contains point A(2, 2) and B(3, 6)

x1 coordinate = 2

x2 coordinate = 3

y1 coordinate = 2

y2 coordinate = 6

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 6 - 2 / 3 - 2

Slope = 4/1

Slope = 4

Therefore, the slope of line L is 4.

2. Determination of the slope of line K.

Line K contains point C(0, 5) and D(1, 9)

x1 coordinate = 0

x2 coordinate = 1

y1 coordinate = 5

y2 coordinate = 9

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 9 - 5 / 1 - 0

Slope = 4/1

Slope = 4

Therefore, the slope of line K is 4.

Summary

Line >>>>>>>>>>> Slope

L >>>>>>>>>>>>> 4

K >>>>>>>>>>>>> 4

From the above calculations, we can see that line L and line K has the same slope.

Therefore, line L and line K are parallel.

Answer: 3 min

Step-by-step explanation:

Step 1. Find the constant speed

you walked 1000 feet in 15 min

1000 ft/ 15min=200/3 ft / min

Step 2. Apply the constant speed to the left distance

You already walked 1000 feet and it is total 1200 feet

1200-1000=200 feet left

distance ÷ speed=time

200 ÷ (200/3)=3 min

Hope this helps!! :)

Please let me know if you have any question

Answer:

a20=a+19d

or,100=a+19d

or, a=100-19d--------(I)

again,

a50=a+49d

or, 400=a+49d

or, a=400-49d--------(ii)

equating equations,we get

100-19d=400-49d

or, 30d=300

so, d=10

Step-by-step explanation:

plz mark it as brainliest

Answer:

$240,000

Step-by-step explanation:

Mr. Sanford's fortune is x

Then we got the equation:

Mr. Sanford’s fortune was $240,000

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

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Explanation:

It might help to move either line m or line n to make them parallel to one another. This isn't required but it might help to see the answer better.

Angles 1 and 2 are between lines m and n, so they are interior angles. They are alternate interior angles as they are on alternate sides of the transversal line.

Angles 2 and 3 are on the same side of the transversal, and both are above their adjacent parallel line counterpart, so they are corresponding angles.

Angles 3 and 4 are outside the interior region, and they alternate on either side of the transversal. They are alternate exterior angles.

Angles 1 and 4 are corresponding for similar reasons as angles 2 and 3 are.

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Notes:

Answer:

it is D

Step-by-step explanation:

Answer:

1024π, 3215.36

Step-by-step explanation:

The formula for the area of a circle is πr^2

R is the radius, which is already given to us. We need to find r^2

32x32=1024

1024π

We can leave it in terms of pi or we can solve it out.

1024x3.14=3215.36

1024π, 3215.36

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 32^2

A =1024 pi units^2

If we use pi = 3.14

A = 3215.36 units^2

If we use the pi button

A =3216.990877 units^2

Answer:

the answer is actually PS (7x - 7)

Hoped that I helped

Answer:

B: A way to draw precise figures using a compass and a straightedge.

Step-by-step explanation:

In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.

Answer:

16x - 5

Step-by-step explanation:

2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions

2x - 6 + 14x + 1 = 16x - 5

The simplified expression of the perimeter of the rectangle should be 16x - 4.

Given that

We know that

The perimeter of the rectangle be

= 2(length + breadth)

= 2(x - 3 + 7x +1)

= 2x - 6 + 14x + 2

= 16x - 4

Therefore we can conclude that the simplified expression of the perimeter of the rectangle should be 16x - 4.

Learn more about the rectangle here: brainly.com/question/20733283

Answer:

i would like to  say you divide but not shure im just starting 8th grade but good luck

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

f(0) = 7

f(1) = 2f(0) - 3 = 11

f(2) = 2f(1) - 3 = 19

f(3) = 2f(2) - 3 = 35

Answer:

22 hours

Step-by-step explanation:

pay rate = (amount of money)/time

(pay rate) * time = amount of money

time = (amount of money)/(pay rate)

time = $275/($12.50/hour)

time = 22

Answer: 22 hours

Answer:

22 hours

Step-by-step explanation:

We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :

275 ÷ 12.50 = 22

So Terrance worked 22 hours

Check answer:

22 x 12.50 = 275

Answer:

20

Step-by-step explanation:

I do not know how to explain it for you thanks

Answer:

a) 39

b) 4

Step-by-step explanation:

[tex] {7}^{2} = 7 \times 7 = 49[/tex]

Answer:

Step-by-step explanation:

The formula for calculating the distance between 2 points is expressd as;

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates A(-7,1) B(-4,-3) C(3,-5) D(7,-2)

The disyance AB will be expressed as

AB = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates A(-7,1) B(-4,-3)

AB = √(-4-(-7))²+(-3-1)²

AB = √(-4+7)²+(-4)²

AB = √3²+4²

AB = √25

AB = 5

For CD with coordinates C(3,-5) D(7,-2)

CD = √(7-3)²+(-2-(-5))²

CD = √(4)²+3²

CD = √16+9

CD = √25

CD = 5

Congruent sides are sides that are equal. Hence since AB is equal to CD, this means that the distances AB and CD are congruent

Answer:

the answer is 42

Step-by-step explanation:

let the number be ''x''

the difference between ''x'' and 12 can be written as

x - 12

4 times means multiplied by 4, so

4 (x - 12) = 120

4x - 48 = 120

4x = 120 + 48

4x = 168

x = 168/4

x = 42