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
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
AnnZ [28]

Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

\mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

X_E : Z \to R be the characteristic function of E.

∴

X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

For XE(2)

\mathbf{X_E (2) =  1}  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

\mathbf{X_E (-2) = 0 }   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

E = {2,4,6,8,10 ....∞}

5 0
3 years ago
If E = [9, -6], what is the length of E.
Marrrta [24]

Answer:

16

Step-by-step explanation:

Interval E contains (9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6)

so the numbers of the interval equals 16

3 0
3 years ago
Read 2 more answers
What should be the first step in adding these equations to eliminate y?
ElenaW [278]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Y = - 3x + 6
dusya [7]

Answer:

Step-by-step explanation:

systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.

7 0
3 years ago
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
docker41 [41]

Answer:

<u>k = 220</u>

Step-by-step explanation:

<u>Proportion of y and x</u>

  • y = kx

<u>Given</u> :

  • y = 55
  • x = 1/4

<u>Solving</u> :

  • 55 = k/4
  • k = 55 x 4
  • <u>k = 220</u>
4 0
1 year ago
Other questions:
  • Determine the value of x for which a || b if m&lt;30=80-x and m&lt;7=90-2x.
    7·1 answer
  • Solve for x: 4(x + 2) = 3(x − 2) −2 −4 −10 −14
    15·2 answers
  • Two automobiles start together from the same place and travel along the same route. The first averages 40 miles
    10·2 answers
  • Consider a political discussion group consisting of 4 ​Democrats, 4 ​Republicans, and 5 Independents. Suppose that two group mem
    6·1 answer
  • Kim was walking down a rocky path.For 4 minutes, the elevation dropped steadily.All together it dropped 8 feet. What was the cha
    13·1 answer
  • Kedar is comparing the costs of phone plans. For phone plan A, the cost is $15.00 to connect and then $0.02 per minute. For phon
    15·2 answers
  • A clock radio phone cost 83.95. Tax is $4.49 for each radio phone how much do 3 clock radio phones cost
    12·1 answer
  • 284 + 0 = 284 is an example of which property
    10·2 answers
  • PLEASE HELP 30 cm
    7·1 answer
  • Questions are in file/pictures! <br><br> (as you can see all my questions are from math lol)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!