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Basile [38]
3 years ago
8

What is the value of the sum? - 3/8+ 5/10 -11/16 -1/16 1/16 1/4 -1/4

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0
First, you must convert the decimals to have the same denominator.

Find the least common multiple of both fractions' denominators:

Multiples of 8: {8,16,24,32,40}
Multiples of 10: {10,20,30,40}

The least common multiple of 8 and 10 is 40.

Multiply the fractions by a number that will make their denominator 40:

- \frac{3}{8} \times  \frac{5}{5} = - \frac{15}{40}
\frac{5}{10} \times \frac{4}{4} = \frac{20}{40}

Now you can add these fractions together:

-\frac{15}{40} + \frac{20}{40} = \frac{5}{40}

Simplify this fraction:

\frac{5}{40} \div \frac{5}{5} = \frac{1}{8}

The answer should be 1/8.

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D(n) = 8 - 6(n - 1)d(n)=8−6(n−1)
VikaD [51]

Answer: 2

Step-by-step explanation:

So you distribute the -6 to the n and -1

Resulting info d(n)= 8-6n+6

Combine the 8 and 6. Getting 14

Add 6n in both sides getting

7n=14

Divide by 7

N=2

8 0
3 years ago
What is the slope of the line on the graph?<br> Enter your answer in the box.
Firlakuza [10]

Answer:

I think this is the answer you are looking for. (See below)

Step-by-step explanation:

From the given graph it is noticed that the line is passing through many points.

The coordinates of three given points are (1,5), (-1,-1), (-1,-7)

If a line passing through two points (x1 ,y1) and (x2, y2) , the slope of the lie is defined by, m= y2 - y1/x2 - x1

The line passing through two points (-1,1) and (1,5). So the slope of the line is, m= 5 - 1 / 1 minus -1

m=4/2

Therefore, the slope of the line is 2.

Pls if this is wrong, let me know in the comments. I'm not really good at this topic in math but I hope it helps you. Sorry if it is wrong. Have a good day. :)

6 0
2 years ago
A dessert recipe calls for 6 cups of cereal for every 4 cups of marshmallows. If a baker makes a 25-cup batch of treats using th
Elden [556K]

Answer:  c

Step-by-step explanation:

5 0
2 years ago
20 POINTS!!!!!!!
zavuch27 [327]
So the first one is -0.5 and second is -0.5 the third one is -0.5 and the fourth is -0.25 so I would say that is D
8 0
3 years ago
Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o
olga_2 [115]

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

6 0
3 years ago
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