What % of 400 is 85?

There are 100 students at a college who have taken a course in calculus, 110 who have taken a course in discrete mathematics, an

vesna_86 [32]

Answer:

110 students

Step-by-step explanation:

The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

$C =100 -50\\C= 50\ students$

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

$D =110 -50\\C= 60\ students$

The number of students that have taken a course in either calculus or discrete mathematics is:

$E = C+D = 50+60\\E= 110\ students$

7 0

3 years ago

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0

2 years ago

Travis can afford a $260-per-month car payment, and he is interested in either a compact car, which costs $10800, or a coupe, wh

ludmilkaskok [199]

Answer: travis can afford the compact car but not the coupe

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the anwser to the problem

torisob [31]

8 ) 712

8 goes into 71 8 times; the product of 8 and 8 is 64.

Subtracting this 64 from 71, we get 7, to which we append 2: 8 ) 72.

8 divides evenly into 72: 9.

Thus, the desired quotient is 89.

6 0

3 years ago

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)

Anika [276]

Answer:

x=25

Step-by-step explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

7x-6x-8 = 6x-6x+17

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

x=25

5 0

3 years ago