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kati45 [8]
3 years ago
14

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 inche

s high. How much greater is the volume of the cube-shaped box than the rectangular box? A. 66 cubic inches B. 60 cubic inches C. 56 cubic inches D. 50 cubic inches
Mathematics
1 answer:
olganol [36]3 years ago
7 0
The cube-shaped box has a volume of 216 cubic inches. The rectangular box has a volume of 160 cubic inches. Therefore, the answer is C) 56 cubic inches.
You might be interested in
Y=x(x−2)^3 identify the zeros and their multiplicities.
lawyer [7]
  • The zeros of the function are 0 and 2
  • The multiplicity is the power to which the factors are raised. The multiplicities of the function are 1 and 3.

<h3>Zeros and multiplicities of functions</h3>

Given the function y=x(x-2)^3

The zeros of the function is at the point where y = 0

x(x-2)^3 =0\\x = 0\\(x-2)^3=0\\x-2=0\\x=2

Hence the zeros of the function are 0 and 2

The multiplicity is the power to which the factors are raised. The multiplicities of the function are 1 and 3.

Learn more on zeros and multiplicity here: brainly.com/question/11314797

6 0
2 years ago
13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?
den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

5.4a+7.1 and -1.2a-6.3

Now, adding both the binomials, we get:

5.4a+7.1+(-1.2a-6.3)

Distributing the positive sign inside the second binomial, we get:

5.4a+7.1-1.2a-6.3

Now, combining like terms using the commutative property of addition, we get:

(5.4a-1.2a)+(7.1-6.3)

Simplifying the above expression, we get:

(5.4-1.2)a+0.8\\4.2a+0.8

Therefore, the resulting addition of the given binomials is 4.2a+0.8

Hence, option C is the correct answer.

8 0
3 years ago
Describe the pattern of decay for the sequance.
Georgia [21]
256-192= 64

192-144=48

144-108=36

108-81=27

 81- 60.8=20.2

60.8-45.6=15.2

45.6-34.2= 11.4

34.2-25.6=8.6

25.6-19.2= 6.4

19.2-14.4= 4.8

4 0
2 years ago
jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many a
jekas [21]
Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes


23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45
7 0
3 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two students in t
melomori [17]

Answer:

The system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be'x'.

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = 5+5x

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = 6x

Hence the system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

5+5x=6x

On solving we get;

Combining like terms we get;

6x-5x=5\\\\x=5\ mins

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of x=5 in the system of equations.

so we get;

number of flash cards made by Tristan = 5x+5 = 5\times5+5=25+5=30

number of flash cards made by Josh = 6x =6\times 5 =30

Hence In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

6 0
3 years ago
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