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Molodets [167]
3 years ago
12

What is the prime factorization of 84? A. 2•3•7 B. 3•4•7 C. 2•2•21 D. 2•2•3•7

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

D. 2•2•3•7

Step-by-step explanation:

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The patriot diner sells 2 cheeseburgers and one soda for $11.00 and 3 hamburgersand 2 sodas for $18.00. What is the cost of a ch
kvasek [131]

Answer: the cost of a cheeseburger is $4

Step-by-step explanation:

Let x represent the cost of one cheeseburgers.

Let y represent the cost of one Soda.

The patriot diner sells 2 cheeseburgers and one soda for $11.00. It means that

2x + y = 11 - - - - - - - - - - - 1

She also sells 3 cheeseburgers and 2 sodas for $18.00. It means that

3x + 2y = 18 - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

6x + 3y = 33

6x + 4y = 36

Subtracting, it becomes.

- y = - 3

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 3 = 11

2x = 11 - 3 = 8

x = 8/2 = 4

6 0
3 years ago
An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if t
notsponge [240]

Answer:[m, m+d, m+2d, - - - - -, n]

Step-by-step explanation:

We know the formula for arithmetic progression is a_(n) = a_(1) + (n-1)d

Where a_(n) is the nth term of the sequence

a_(1) is the first term of the sequence

n is the number of the term like if we are talking about 7th term so the n is 7.

d is the difference between two successive terms.

For this problem we know our first term that is m, our last term that is n and our difference that is d.

For second term we will use the formula

a_(2) = m + (2-1)d

a_(2) = m + (1)d

a_(2) = m + d

Similarly,

a_(3) = m + (3-1)d

a_(3) = m + (2)d

a_(3) = m + 2d

3 0
3 years ago
A bag contains a mixture of identical coloured balls.
Amiraneli [1.4K]

Answer:

72 yellow balls

Step-by-step explanation:

80% of 90 is (0.80*90) = 72 yellow balls.

5 0
2 years ago
Each hour hanna is able to run 4 kilometers. If she has already run 2 kilometers, what will her total distance be after 8 hours?
Vlada [557]

Answer:

34km

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone please help on number 19. WILL MARK YOU AS BRAINIEST!!!
liraira [26]

Answer: the width is 150

Step-by-step explanation:

5 0
3 years ago
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