20. In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inches high. How much
of the cube-shaped box than the rectangular box?

A. 50 cubic inches
B. 60 cubic inches
C. 66 cubic inches
D. 56 cubic inches

Answer:

C

Step-by-step explanation:

work shown below

Answer: Then the sample space is 36.

Step-by-step explanation:

n is the number of possible combinations.

Now, as the die are of different colors, the case where:

white = 1 blue = 2, sum = 1+ 2 = 3

white = 2 blue = 1, sum = 2 + 1 = 3

are different.

So the number of possible combinations is:

6 options for the white dice and 6 options for the blue dice, so we have:

6*6 = 36 different combinations.

Then the sample space is 36.

Answer: y =1

Step-by-step explanation:

Evaluating the equation for x  = 0:

y = 54 (0) + 1

y =1

The y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The missing figure is attached to the picture.

Calculataing  the equation for x  = 0:

y = 54 (0) + 1

y = 1

Thus, the y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.

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Answer:

Yes

Step-by-step explanation:

In order to form a triangle sum of the lengths of any two sides must always be greater than the length of the third side.

Here,

6 + 5 = 11 > 8

5 + 8 = 13 > 6

8 + 6 = 14 > 5

Given side lengths satisfy above condition. Hence the given segment can form a triangle.

Answer:

The input is the letter in the parentheses.

Step-by-step explanation:

f(h) is h

g(f) is f

h(g) is g

Answer & Step-by-step explanation:

We can use the Pythagorean Theorem to find the value of x.

[tex]a^2+b^2=c^2[/tex]

For a, we will use 3.

For b, we will use 4.

For c, that will be our x.

[tex]3^2+4^2=c^2\\9+16=c^2\\25=c^2\\\sqrt{25} =\sqrt{c^2}\\ 5=c[/tex]

So, the value of x is 5.

Answer: D. 1 Month, 1/12 =1÷12 = 0.08

Step-by-step explanation:

Hi, to answer this question we have to convert the fraction into decimals and compare:

A. Three Months, 1/4 = 1÷4 = 0.25

B. Six Months, 6/12 = 6÷12 =0.5

C. Nine Months, 9/12 = 9÷12 = 0.75

D. 1 Month, 1/12 =1÷12 = 0.08

The option that matchs the rate 0.08 is D.

Feel free to ask for more if needed or if you did not understand something.

Answer: $80536.9

Step-by-step explanation:

From the question, at the end of a year, the total debt of a country stood at about $24 trillion and the country has a population of 298 million.

To calculate the amount in dollars per person, we divide the gross debt by the population. This will be:

= 24 trillion ÷ 298 million

= 24,000,000,000,000 ÷ 298 000 000

= 80536.9

The amount in dollar per person will be $80536.9

Answer:

The solution to the system of linear equation is (0,2)

The solution to the system of linear equation is (2.-3).

Simultaneous linear equations can be defined as the two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

3x-y=9 - - - -(1)

4x+y=5 - - - - (2)

Adding equations 1 and 2

7x = 14

x = 2

Now, we have

3(2) - y = 9

-y = 9 - 6

-y = 3

y = -3

Thus, the solution of the given simultaneous equations are x = 2 and y = -3.

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Answer:

(IQR) interquartile range = 5

Step-by-step explanation:

Lower quartile: 48

Upper quartile: 53

Median: 52

Lowest value: 46

Highest value: 55

(IQR) interquartile range: Upper quartile - Lower quartile = final answer

(IQR) interquartile range: 53 - 48 = 5

Answer: C, E, F

Step-by-step explanation:

Answer:

C, E, and F

Step-by-step explanation:

Substitute each pair in for the variables and see which pairs are true.

Answer:

No, it is not in scientific notation. The first factor is not greater than or equal to 1.​

Step-by-step explanation:

Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.

Answer:

last option

Step-by-step explanation:

In scientific notation the number being multiplied by the power of 10 has to be in between 1 and 10, and since 0.11 doesn't satisfy this the answer is it is not in scientific notation because the first factor is not greater than or equal to 1.

Answer:

1 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 [tex]\frac{1}{2}[/tex] ÷ 5 = [tex]\frac{1}{2}[/tex]

Thus to obtain the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]

2 [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{1}{4}[/tex]

Answer:

2.5

Step-by-step explanation:

The standard equation representing quantities in proportion is

y = kx ← k is the constant of proportionality

y = 2.5x ← is in standard form

with k = 2.5

Answer:

2.5

Step-by-step explanation:

Y = 2.5x

then you would have put in with x

so i got x =2.5

Answer:

19

Step-by-step explanation:

To write an equation for the first situation, you need to determine which factors can be changed.  The bus will not change since you can have multiple people in one.  The ticket to the museum is per person.  This will change depending on how many people there are.

450 + 15.75x

For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person.  Set the equation equal to $40 per person and solve.

450 + 15.75x = 40x

450 = 24.25x

x = 18.56

Round up to 19 since you can't 0.56 of a person.

Answer:

Option 2

Step-by-step explanation:

To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!

Answer:

x = 14/3

Step-by-step explanation:

4(2x-3)+8(x-4)=2(2x+6)

Distribute

8x -12 +8x - 32 = 4x +12

Combine like terms

16x -44 = 4x+12

Subtract 4x

16x-4x -44 = 4x+12-4x

12x -44 =12

Add 44 to each side

12x-44+44 = 12+44

12x = 56

Divide each side by 12

12x/12 = 56/12

x = 14/3

Answer:

[tex]x=\dfrac{14}{3}[/tex]

Step-by-step explanation:

[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]

Expand parentheses:

[tex]8x-12+8x-32=4x+12[/tex]

Combine similar terms:

[tex]16x-44=4x+12[/tex]

Subtract 4x and add 44 to both sides:

[tex]12x=56[/tex]

Divide both sides by 12:

[tex]x=\dfrac{14}{3}[/tex]

Hope this helps!

Answer:

128 oz

Step-by-step explanation:

recall that 1 lb is 16 oz

hence 8 lbs = 8 x 16 = 128 oz

Answer:

7(5c+2b-1)

Step-by-step explanation:

GCF stands for greatest common factor, so you need to find a common factor between 35, 14, and -7. Use a method of your choice to find the GCF and you should find that it's 7. Then, you take the 7 "out" and put parentheses around the original equation while dividing every "term" by 7.

Answer:

k

Step-by-step explanation:

Answer:

2y meters

Step-by-step explanation:

The first x meters are cancelled with the last x meters because after turning right two times they walk in the opposite direction that each of them started to walk.

The y meters each of them walk are also in the opposite direction, so given that each of them walked y meters, the distance between them is 2y meters.

Answer:

Condition A.  

A rectangle with four right angles  

There can be many quadrilaterals satisfying this condition.

Condition B.

A square with one side measuring 5 inches

There can be only one quadrilateral satisfying this condition.

Condition C.

A rhombus with one angle measuring 43°

There can be many quadrilaterals satisfying this condition.

Condition D.

A parallelogram with one angle measuring 32°

There can be many quadrilaterals satisfying this condition.

Condition E.

A parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches.

There can be only one quadrilateral satisfying this condition.

Condition F.

A rectangle with adjacent sides measuring 4 inches and 3 inches.

There can be only one quadrilateral satisfying this condition

Step-by-step explanation:

Answer:

No Triangles:  A, C

One Triangle:  D, F

Many Triangles:  B, E  

Step-by-step explanation:

Did it on Edmentum and got it right.

Answer:

O 25,600r ft

Step-by-step explanation:

Volume =πr2h

=  π×82×100

=  6400π

=  20106.192982975 feet ^3

Answer:

6,400π ft3

Step-by-step explanation:

took test and got it right

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator  1 + √3 is 1 - √3

[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]

Answer:

D) About 2,700 in^2

Step-by-step explanation:

Equation for area of a circle is A=3r² (it would usually be A=πr² but we are using the approximation)

The diameter is 60, we want to find the radius for the equation. We can use the equation d=2r to find the radius of the circle.

60=2r

30=r

Put radius into the area equation.

A=3(30)²

A=3(900)

A=2700

Answer:

2,700 in^2 ; Option D

Step-by-step explanation:

If it is known that the diameter of Circle B ⇒ 60 inches,

[tex]Diameter - 60 inches,\\\\Radius - 60 / 2 = 30 inches,\\\\Area of Circle B ( \pi stands for 3 ) - \pi * ( r )^2 = ( 3 ) * ( 30 )^2 = ( About ) 2,700 square inches\\\\Solution; 2,700 square inches[/tex]

( About ) 2,700 square inches; Option D

Answer:

[tex][1250,1350)[/tex].

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., [tex]1250\leq x\leq 1300[/tex]     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., [tex]1300\leq x<1350[/tex]       ...(2)

On combining (1) and (2), we get

[tex]1250\leq x < 1350[/tex]

1350 is not included in the error interval for x.​

Interval notation is [tex][1250,1350)[/tex].

Therefore, the error interval for x is [tex][1250,1350)[/tex].

Answer:

8.880,8.808,8.018,8.008

The numbers 8.008, 8.018, 8.088, 8.88, and 8.808 are in ascending order will be 8.008, 8.018, 8.088, 8.808, and 8.88.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given

8.008, 8.018, 8.088, 8.88, and 8.808.

Then we are arranging in ascending order, then we have

8.008, 8.018, 8.088, 8.808, and 8.88.

More about the ascending order link is given below.

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Answer:

190

Step-by-step explanation:

550 + 25 = 575

575 - 100 = 475

475 - 202.5 = 272.5

272.5 - 82.5 = 190

The account balance at the end of the month would be; 190 dollar.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have given that Grant had an account balance of $550 in her checking account.

Then he deposits $25,

550 + 25 = 575

So he pays his annual credit card fee of $100.00,

575 - 100 = 475

Then he makes ATM withdrawals of $200.00

475 - 202.5 = 272.5

Then $80.00 from an ATM that charges a $2.50 fee per transaction.

272.5 - 82.5 = 190

Therefore, the account balance at the end of the month would be; 190 dollar.

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Answer:

yes because they have equal sides

It can also be called a polygon because they have congruent sides.

[tex]\text{Simplify:}\\\\13y + x - 7y\\\\\text{Combine like terms}\\\\13y + x - 7y\\\\6x+y\\\\\text{Since you can't combine anything else, that will be your answer}\\\\\boxed{6y+x}[/tex]