MATHEMATICS MIDDLE SCHOOL

The sum of 5 consecutive integers is 505.What is the third number in this sequence ?

Answers

Answer 1
Answer:

Answer: 101

Step-by-step explanation:

1st integer: x

2nd integer: x + 1

3rd integer: x + 2

4th integer: x + 3

5th integer: x + 4


x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 505

5x + 10 = 505

5x = 495

x = 99


3rd integer: x + 2   = (99) + 2   = 101

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7x + 17 = 3x + 21

Answers

Answer:

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What is the means-to-MAD ratio of the two data sets, expressed as a decimal?Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

Answers

You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.

Match each expression to the correct verbal description.

Answers

Answer with explanation:

1)

          7x^3+8

we first cube a number x i.e. x^3

and then multiply it by 7 and then finally add 8 to the resulting expression.

2)

       (7x+8)^3

We first multiply the number x by 7 and then add 8 to it and then cube the resulting expression.

3)

                (7x)^3+8

We first multiply x by 7 to get 7x and then cube the number and finally add 8 to it.

4)

               7(x+8)^3

We add 8 to  a number x to get x+8 and then cube it and finally multiply 7 to the resulting expression.

       

(7x)3+8 8 added to the cube of 7x

(7x+8)3 The cube of the sum of 7x and 8

7(x+8)3 7 times the cube of the sum of x and 8

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A cup of cereal has 12 grams of fiber, which is 40% of the recommended daily amount. What is the recommended daily amount?

Math item stem image
CLEAR CHECK
grams

Answers

The recommended daily amount of fiber is 30 grams.

Step-by-step explanation:

Quantity of fiber in one cup = 12 grams

It is 40% of our daily recommended amount.

Let,

x be the quantity of fiber recommended daily.

40% of x = 12

(40)/(100)*x=12\n

0.4x=12

Dividing both sides by 0.4

(0.4x)/(0.4)=(12)/(0.4)\nx=30

The recommended daily amount of fiber is 30 grams.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

A shopper bought shoes marked $40. The sale tax is 8%. How much did the shopper pay in all?

Answers

so she payed 40 plus 8% of tax, that is:
total = 40 + (8%)(40)
total = 40 + (0.08)(40)
total = 40 + 3.2 = 43.2
that is the total pay

What is 5256 divided by 52

Answers

The answer is 101r4

101r4
52/5256
52
-----
5
0
---
56
52
-----
4
the answer is 101.0769236761231
but just write 101 because i think the others are no need to write and
if you want to divide use your calculator 
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