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spayn [35]
3 years ago
15

In a class of 90 students, 50 study mathematics, 48 study physics and 24 study both. find the number that study maths only and t

he number that study physics only.​
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

n(u)=90

n(m)=50

n(p)=48

n(mnp)=24

now,

n. (m) =n(m)-n(mnp)

=26

n. (p) =n(p)-n(mnp)

=24

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The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is .
Iteru [2.4K]

Answer:

(-5) is smallest integer to be added.

Step-by-step explanation:

In the given expression we have to identify the smallest integer to be adeed so that it is divisible by (m+1).

If we divide the expression then we get quotient (-2m²+3m-4) and the remainder is +5.

Therefore we can say that if we subtract 5 from the given expression it will be divisible by (m+1).

So the answer is (-5) is the smallest integer to be added.

5 0
3 years ago
two pounds of grapes cost $6 . complete the table showing the price of different amounts of grapes at this rate
Degger [83]

Answer:

Table shown below

Step-by-step explanation:

To solve this problem let's use proportions.

If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price

For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.

Simplifying the fraction, we get 1/3 or 0.33 pounds

6 0
3 years ago
Your friend borrows $100 from you and promises to pay you back $109 in 8 months. What annual percentage rate (A.P.R.) are you ch
NNADVOKAT [17]

Answer:

12.0\%=0.12

Step-by-step explanation:

We have been given that your friend borrows $100 from you and promises to pay you back $109 in 8 months.

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Convert 8 months to year:

\frac{8}{12}\text{ year}=\frac{2}{3}\text{ year}

108=100(1+r*\frac{2}{3})

108=100+r*\frac{2}{3}\times 100

108-100+r*\frac{200}{3}

108-100=100-100+r*\frac{200}{3}

8=r*\frac{200}{3}

8\times \frac{3}{200}=r*\frac{200}{3}\times \frac{3}{200}

\frac{24}{200}=r

r=\frac{24}{200}

r=0.12

Convert to percent:

0.12\times 100\%=12\%

Therefore, you are charging 12% APR to you friend.

6 0
3 years ago
Simplify the expression. 7m^3 + 2 3/4 - 6m^3​
Greeley [361]

Answer:

m^3 + 2 3/4

Step-by-step explanation:

Change the order

7m^3 - 6m^3 + 2 3/4

m^3 + 2 3/4

5 0
3 years ago
A newborn weighs 3,874 grams at birth and 3,465 grams just prior to discharge from the hospital 2 days later. Knowing that newbo
BlackZzzverrR [31]

Answer:

10.55%

Step-by-step explanation:

Given:

Initial weight of the new born baby = 3,874 grams

final weight of the baby = 3,465 grams

Now,

the current percentage of the weight loss will be calculated as:

Weight loss percentage = \frac{\textup{Loss in the weight}}{\textup{Initial weight of the baby}}\times100%

on substituting the respective values, we get

Weight loss percentage = \frac{(3874-3465)}{3874}\times100%

or

Weight loss percentage = 10.55%

4 0
4 years ago
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