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ladessa [460]
2 years ago
9

There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the cl

ass
Mathematics
1 answer:
Ber [7]2 years ago
8 0

Answer:

Step-by-step explanation:

If the males make up 60% of the class then

The females make up 100 - 60 = 40% of the class.

Females = 40% * x        where x = the class size.

380 = 40/100 * x

380*100 =38000

38000 = 40  x

38000/40 = x

x =950

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Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
KarlaPurchase a swimsuit on Amazon the original price of the coat was 75.50 she use the coupon code to receive a 25% discount th
DochEvi [55]

Answer:

Step-by-step explanation:

The initial price of the swimsuit that Karla purchased at Amazon was 75.5

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Therefore, the discounted price of the swimsuit is 75.5 - 18.875 = 56.625

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The percentage by which the amount that Karla paid was lesser than the original price would be

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8 0
3 years ago
Is (2, 3) a solution to the inequality y > 6x + 3?
Sindrei [870]

Good morning

Answer:

NO

Step-by-step explanation:

Here we just substitute x and y by their values and see if the inequality still true or not

y = 3

6x + 3 = 6(2) + 3 = 15

since 3 < 15 then the inequality y > 6x + 3 is wrong.

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3 years ago
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Step-by-step explanation:

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Answer:

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