1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
8

All first-year students at Red State University must take calculus, English composition, or both. If half of the 2,400 first-yea

r students at Red State University take calculus and half do not, and one-third of those who take calculus also take English composition, how many students take English composition?
A) 400
B) 800
C) 1,200
D) 1,600
E) 2,000
Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer:

The correct option is D) 1,600.

Step-by-step explanation:

Consider the provided information.

Half of the 2,400 first-year students at Red State University take calculus and half do not.

That means 1200 students take only English.

One-third of those who take Calculus also take English Composition, we can say

1200 take calculus and one third of it is: \frac{1200}{3}=400

400 take Calculus also take English Composition.

Thus, the total number of students taking English Composition = 400 + 1200 = 1600

Hence, the correct option is D) 1,600.

You might be interested in
Latoya bought an item for $66. Before that, she had $402.44. How much money does Latoya have now.
andre [41]

Answer:

$336.44

Step-by-step explanation:

$402.44 - $66 = $336.44

8 0
2 years ago
Factorise: a squared +8a -20
Vaselesa [24]
Factor out the 4 in both equations
8a^2-20^2=(2^2 times a^2 times 2)-(2^2 times 5)
therefor it is also equal to
(2a)^2 times 2-(2^2 times 5)
we can force it into a difference of 2 perfect squares which is a^2-b^2=(a-b)(a+b)
(2a√2)^2-(2√5)^2=((2a√2)-(2√5))((2a√2)+(2√5))


8 0
3 years ago
Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33​
Brrunno [24]

\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}

To solve for x, we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}

\sqrt{33} cannot be simplified, so we'll leave it as-is.

Add 4 to both sides to fully isolate x.

x=\pm\sqrt{33}+4

Expand the solution by making two solutions, one where \sqrt{33} is positive and one where it's negative.

x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}

5 0
2 years ago
Read 2 more answers
Which expression is equivalent to the following complex fraction?
True [87]

Answer:

<h2>A. -2y+5x/3x-2y</h2>

Step-by-step explanation:

Given the complex fraction;

-\frac{2}{x} +\frac{5}{y} / \frac{3}{y} - \frac{2}{x} \\

First we will find the LCM of the numerator and the denominator as shown below;

\frac{-2y+5x}{xy} /\frac{3x-2y}{xy}

Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;

= \frac{-2y+5x}{xy} * \frac{xy}{3x-2y}  \\= \frac{-2y+5x}{3x-2y} \\

This gives the required answer

5 0
3 years ago
A circular garden has a circumference of
omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: 2\pir. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

d\pi

So, solving for both the radius and the diameter gives us:

d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2

So, the length of thes traight path that goes through the center of the guardain is just 8xy^2, and we can use the radius for the next part of the problem.

The area of a circle is \pi r^2, which means we can just plug in the radius and find our area:

A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4

So, we have found our area(16 \pi x^2 y^4) and the problem is done.

6 0
3 years ago
Other questions:
  • Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13.
    8·1 answer
  • I need help on this question.
    10·2 answers
  • Express the following in expanded form by all three method​
    5·1 answer
  • Can someone help me with these two or at least explain it pls
    9·1 answer
  • Answer the following please :)
    5·1 answer
  • 8.075 x 10-4 in standard form
    14·1 answer
  • PLEASE I WILL GIVE YOU BRAINLIEST JUST HELP ME I LOVE YOUUUUUUUU
    12·1 answer
  • Solve for θ. Please help me!!
    10·1 answer
  • What value is equivalent to 32 · 43?
    11·2 answers
  • I have no clue what to do
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!