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3 years ago

Perform the indicated operation. 1 and 2/3 plus 5 and 3/8

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

7 1/24

Step-by-step explanation:

1 2/3+5 3/8=?

first you need to find the least common multiple between 2/3 and 3/8.

the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.

so your new fractions are 1 16/24 + 5 9/24

now you add 16+9=25 (25/24, which becomes 1 1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7

so the answer would be 7 1/24

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2. Determine the sum of the first 400 ODD numbers.

il63 [147K]

Odd numbers take the form $2n-1$ , where $n\ge1$ is an integer. When $n=400$ , the last odd number would be 799. So we're adding

$S=1+3+5+\cdots+795+797+799$

By reversing the order of terms, we have

$S=799+797+795+\cdots+5+3+1$

and we can pair up terms in both sums at the same position to write

$2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)$

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

$2S=400\cdot800\implies S=160,000$

###

We could also make use of the formulas,

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2$

We have

$S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000$

3 0

4 years ago

Write an equation with a variable AND solve it. Mario read 72 pages of his book in class and 13 pages per night, n, until he rea

coldgirl [10]

9514 1404 393

Answer:

72 +13n = 163

7 nights

Step-by-step explanation:

At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:

equation: 13n +72 = 163

To solve this, we can subtract 72, then divide by the coefficient of n.

13n = 91 . . . . . . subtract 72 from both sides

n = 7 . . . . . . . . divide both sides by n

Mario read 7 nights.

6 0

3 years ago

Fill in the square with <, >, or = to make a true statement = 12 or 4.3

Vinvika [58]

Answer:

12 > 4.3

Step-by-step explanation:

7 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST

frozen [14]

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

3 0

3 years ago

A binomial distribution

Alina [70]

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

3 0

3 years ago