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3 years ago

Thirty and 25 hundredths in decimal form

1 answer:

4 0

30.25. Thirty is the whole number, therefore it goes before the decimal. The 25 hundredths come after the decimal. The first Slot after the decimal is the tenths. And the second is the hundredths. .25 is twenty five hundredths.

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For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the v

Svetradugi [14.3K]

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 = n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 = (n - 1)*2

1000/2 = (n - 1)2/2

500 = n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum = 251001

Answer

m - n = 251001 - 250500 = 501

6 0

3 years ago

Find four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth

tatuchka [14]

All four consecutive integers will be 9, 10, 11, and 12 and can be found out by high common sense.

<h3>What is the pattern?</h3>

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

Given that,

8 times the sum of the first and the third = 8( 1st + 3rd)

40 greater than 10 times the fourth = 40 + 10(4th)

So,

8( 1st + 3rd) = 40 + 10(4th)

Now if we look right and side then it will come out as any number with the unit placed as 0.

So it means on the left side also the unit place must be 0.

By thinking of 1st + 3rd = 10 /20 because at 45 it will be 40 which is not equal to the right-hand side.

Now by hit and trial method, we need to guess it 20 = 9 + 11

Then

8(9 + 11) = 40 + 10(12)

One equation can never give us three unknowns hence it will be the correct way.

Hence so the four consecutive integers will be 9, 10, 11, and 12.

For more information about the pattern

brainly.com/question/14013716

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6 0

2 years ago

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number o

Margaret [11]

Answer:

Mark has 13 marbles

Don has 40 marbles

Step-by-step explanation:

Let the number of Mark's Marbles = M

Let the number of Don's Marble = D

D = 1 + 3M - - - - (1) (Don has 1 more than 3 times the number of marbles Mark has)

D + M = 53 - - - - - (2) (total number of marbles is 53)

puttin the value of D from equation (1) into equation (2)

(1 + 3M) + M = 53

1 + 3M + M = 53

1 + 4M = 53

4M = 53 - 1 = 52

4M = 52

M = 52 ÷ 4

M = 13

finding D by putting the value of M (M = 13) into equation 1

D = 1 + 3M - - - - (1)

D = 1 + 3 (13)

D = 1 + 39

D = 40

∴ Mark has 13 marbles

Don has 40 marbles

4 0

4 years ago

How Many L/min are in 105.6 L/h

Irina18 [472]

To change it into minutes you want to do unit analysis

105.6 L / h × 1h / 60 minutes

so 105.6L times 1h divided by 60 gives you:

1.76L / minute

4 0

3 years ago

Please help me with #5

nlexa [21]

The answer is C, 25% increase. To find the increase, subtract starting value (780) from the final value (975). It equals out to be 195. Divide 195 by the starting value which turns out to be 0.25. Then, multiply 0.25 by 100 which equals out to be 25.

5 0

3 years ago