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olasank [31]
3 years ago
15

Simplify the expression. 641/3

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:213.7

Step-by-step explanation:

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What is the slope of the line that passes through the points (1, -7), and (3, 1)? -4 - 4
lozanna [386]
I’m not sure what the negative fours are at the end of your problem are for, but the slope of the line passing through those points is 4.

The line itself is y = 4x - 11
4 0
3 years ago
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Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Scorpion4ik [409]

Answer:

Two hours

Step-by-step explanation:

1/4 = 1/2

2/4 = 1

3/4 = 1 1/2

4/4 = 2

4 0
3 years ago
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Ronald is distributing writing supplies to campers. He must give the same number of supplies to each camper and use all the supp
Liula [17]

Answer:

Robert can give writing supplies to at most 7 campers.

Step-by-step explanation:

The problem states that Robert must give the same number of supplies to each camper and use all the supplies. It means that the greatest number of campers that Robert can give writing supplies is the greatest common divisor(gcd) between the number of pencils and the number of note pads.

The gcd between two integers is the largest positive number that divides each of the integers. We can find this value by prime factorization.

The problem states that he has 14 pencils and 21 note pads. So we have to find gcd(14,21).

21 is not divisible by 2, so we try factoring by 3

14 is not divisible by 3, so we try factoring by 5

None of them are divisible by 5, so we move to 7

Both are divisible by 7, so

14 - 21 | 7

2  - 3

2<7, 3<7, so gcd(14,21) = 7.

Robert can give writing supplies to at most 7 campers.

3 0
4 years ago
The team won 18 of its 30 games. What was the team’s won-lost ratio?
NemiM [27]

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

6 0
3 years ago
How many solutions does the following system have?
ale4655 [162]

Answer:

Option D. No solutions

Step-by-step explanation:

we have

3x+2y=1 -----> equation A

-9x-6y=3 ----> equation B

Multiply by -3 both sides equation A

-3(3x+2y)=-3(1)

-9x-6y=-3 -----> equation C

Compare equation B and equation C

Equation B and equation C are parallel lines with different y-intercept

<u><em>Verify</em></u>

For x=0

<em>Equation C</em>

-9(0)-6y=-3 ----->y=0.5

The y-intercept is the point (0,0.5)

Equation B

-9(0)-6y=3 ----->y=-0.5

The y-intercept is the point (0,-0.5)

therefore

Lines do not intersect

The system has no solution

see the attached figure to better understand the problem

6 0
4 years ago
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