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fiasKO [112]
3 years ago
6

Write the prime factorization of 20 using exponents

Mathematics
1 answer:
otez555 [7]3 years ago
4 0
Here you go

2 to the second power times 5
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Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will mr.Allen
BartSMP [9]

Answer:

30 mL

Step-by-step explanation:

Mr. Allen needs 100 mL of a solution that is

  • 30% vinegar,
  • 15% lemon juice,
  • 55% water.

Thus, there are

100\cdot 0.3=30\ mL of vinegar,

100\cdot 0.15=15\ mL of lemon juice,

100\cdot 0.55=55\ mL of water.

6 0
3 years ago
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Four friends paid a total of 32 dollars for movie tickets. What is the ratio 32 dollars for4 people written as a unit rate
coldgirl [10]
8 is the ratio for the unit rate
3 0
3 years ago
1) A family consisting of three persons—A, B, and C—goes to a medical clinic that always has a doctor at each of stations 1, 2,
crimeas [40]

Answer:

Step-by-step explanation:

Let us record the station number 1, 2 or 3 for each family member A, B or C.

I am attaching a table containing total outcomes. Outcomes are presented along rows while the assigned station to each member is written along columns. For ease of understanding, 1 3 2 in the table should be interpreted as family member A being assigned to station 1, member B to station 3 and member C to station number 2, respectively.

From table it is clear that the total outcomes possible are 27.

We know that, probability can be defined as,

PROBABITILY = \frac{NUMBER\;OF\;DESIRED\;OUTCOMES}{TOTAL\;NUMBER\;OF\;OUTCOMES}

a) All Members Assigned to the Same Station.

Cases for all members being assigned to same station are as follows:

[1 1 1], [2 2 2], [3 3 3] (outcome number 1, 14 and 27 in the table).

Therefore,

PROBABILITY\;(Case\;a) = \frac{3}{27}\\\\PROBABILITY\;(Case\;a) = 0.111

b) At Most Two Members Assigned to the Same Station.

It means that maximum of 2 members can have the same station. Cases for this situation are as follows:

[1 1 2], [1 1 3], [1 2 1], [1 2 2], [1 3 1], [1 3 3], [2 1 1], [2 1 2], [2 2 1], [2 2 3], [2 3 2],

[2 3 3], [3 1 1], [3 1 3], [3 2 2], [3 2 3], [3 3 1], [3 3 2]

(outcome number 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 23, 24, 25 and 26 in the table).

Therefore,

PROBABILITY\;(Case\;b) = \frac{18}{27}\\\\PROBABILITY\;(Case\;b) = 0.666

c) All Members Assigned to a Different Station.

For this scenario, we have the following results:

[1 2 3], [1 3 2], [2 1 3], [2 3 1], [3 1 2], [3 2 1] (outcome number 6, 8, 12, 16, 20 and 22 in the table).

Therefore,

PROBABILITY\;(Case\;c) = \frac{6}{27}\\\\PROBABILITY\;(Case\;c) = 0.222

3 0
4 years ago
How do i solve -2y=8
Viefleur [7K]
If you're trying to solve for y
-2y = 8
Divide -2 to both sides
\frac{-2y}{-2} =  \frac{8}{-2}
Cancel out the -2 on the left, Divide the -2 to the 8 on the right so
y = -4
4 0
3 years ago
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1. Which point is on the circle described by (x - 2)2 + (y + 3)2 = 4?
dlinn [17]

Answer:

(1,-4)

Step-by-step explanation:

7 0
3 years ago
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