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Slav-nsk [51]
1 year ago
7

Mai bought eleven 12-ounce bags of

Mathematics
1 answer:
ella [17]1 year ago
5 0

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds

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The side length, s, of a cube is 4x2 3. if v = s3, what is the volume of the cube?
Veseljchak [2.6K]

Answer:

The Volume of the cube is

(64x^{6}+144x^{4}+108x^{2}+27)

Step-by-step explanation:

we know that

The volume of a cube is equal to

V=s^{3}

where

s is the length side of the cube

In this problem we have

s=(4x^{2} +3)

Substitute

V=(4x^{2} +3)^{3}

Remember that

(4x^{2} +3)^{3}=(4x^{2} +3)^{2}(4x^{2} +3)

(4x^{2} +3)^{2}(4x^{2} +3)=[16x^{4}+24x^{2} +9]( 4x^{2} +3)

=64x^{6}+48x^{4}+96x^{4}+72x^{2}+36x^{2}+27

Combine like terms

=64x^{6}+144x^{4}+108x^{2}+27


4 0
1 year ago
Read 2 more answers
A whole number from 1 to 15 inclusive is picked at random.
Helen [10]

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

  • 3/5

8 0
1 year ago
Solve the following addition and subtraction problems. a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam b. 5 sq.km 95 ha 8,994 sq.m + 11 sq.
kipiarov [429]
As a general rule to solve the problem we are going to transform all values to the lower unit.  
a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam
  3,000 m 900 m 90 m 19 m + 7,000 m 70 m = 4,009 + 7,070 = 11,079 m 
  b. 5 sq.km 95 ha 8,994 sq.m + 11 sq. km. 11 ha 9,010 sq. m.
  5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq
9,010 sq m
  5,103,994 sq m + 11,119,010 sq m = 16,223,004 sq m 
 c. 44 m – 5 dm
  44 m - 0.5 m = 43.5 m 
 d. 73 km 47 hm 2 dam - 11 km 55 hm

  73,000 m 4,700 m 20 m - 11,000 m 5,500 m 
77,720 m - 16,500 m = 61,220 m
5 0
1 year ago
figure PQRS is a parallelogram. What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S =
viktelen [127]
I believe it is C (p=140 s=40)
4 0
1 year ago
Read 2 more answers
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
slavikrds [6]

Answer:  50x+250=75x+100

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

C(x)=250+50x

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

c(x)=100+75x

The equation to represent the costs would be the same is given by :_

C(x)=c(x)\\\Rightarrow50x+250=75x+100

4 0
1 year ago
Read 2 more answers
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