A marching band has 64 members. The band director

There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an

ollegr [7]

Answer:

369 students have taken a course in either calculus or discrete mathematics

Step-by-step explanation:

I am going to build the Venn's diagram of these values.

I am going to say that:

A is the number of students who have taken a course in calculus.

B is the number of students who have taken a course in discrete mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and $A \cap B$ is the number of students who have taken a course in both calculus and discrete mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

188 who have taken courses in both calculus and discrete mathematics.

This means that $A \cap B = 188$

212 who have taken a course in discrete mathematics

This means that $B = 212$

345 students at a college who have taken a course in calculus

This means that $A = 345$

How many students have taken a course in either calculus or discrete mathematics

$(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369$

369 students have taken a course in either calculus or discrete mathematics

4 0

1 year ago

Drag each tile to the correct box. Not all tiles will be used.

Zina [86]

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years -> $124.74

$1,025 at 2.8% for 5 years -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

5 0

2 years ago

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check all that apply. T

Naddik [55]

Answer:

The answer for edgednuity is

The length of side AD is 8 units.

The length of side A'D' is 4 units.

The scale factor is 1/2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB

SpyIntel [72]

Determine the slope of line AB
m = 5

Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5

Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.

The answer is first option.

4 0

2 years ago

Select the correct answer.

slamgirl [31]

Answer:

The graphs are missing, but we can find the inequality for this problem:

She has $60.

The price of a T-shirt is $10, the price of a sweatshirt is $14.

If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:

T + S ≥ 5 (because she wants to buy at least 5 items)

T*$10 + S*$14 < $60 (because she wants to spend under $60)

Those two inequalities define the number of T-shirts and sweatshirts that she can buy.

5 0

2 years ago

Read 2 more answers