How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently

Answers

Answer 1

Answer:

974

Step-by-step explanation:

Let assume that:

The set of student that took part in Calculus be = C

Those that took part in discrete mathematics be = D

Let those that took part in data structures be = DS; &

Those that took part in Programming language be = P

Thus;

{C} = 507

{D} = 292

{DS} = 312

{P} = 344

For intersections:

{C ∩ DS} = 14

{C ∩ P} = 213

{D ∩ DS} = 211

{D ∩ P}  =43

{C ∩ D} = 0

{DS ∩ P} = 0

{C ∩ D ∩ DS ∩ P} = 0

According to principle of inclusion-exclusion;

{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}

{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0

{C ∪ D ∪ DS ∪ P} = 974

Hence, the no of students that took part in either course = 974


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Answer:

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Step-by-step explanation:

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is 5 a solution to 7x-4+x=12? Explain

Answers

Answer:

No, 5 isn't a solution to 7x - 4 + x = 12

Step-by-step explanation:

7x - 4 + x = 12

combine common x-values

8x - 4 = 12

add

8x = 16

solve for x

x = 2

Answer:

No, 5 is not the solution...

Step-by-step explanation:

7x-4+x=12

7x+x=12+4

8x=16

x=16/8

x=2  is the solution

ABC is a straight line. Work out the size of the angle marked x

Answers

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

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Answer:

?

Step-by-step explanation:

Solve this equation:
945 = 210T

Answers

Answer:

T=9/2 alternate form T=4 1/2, T=4.5

Step-by-step explanation:

you have to divide both side

T = 4.5
explanation: u divide

7n-4=31

what does n stand for?

Answers

Answer:

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Step-by-step explanation:

At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?

Answers

The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98

The cost of 2 pounds of cashews will be;

⇒ $9.98

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the grocery store,

Henry bought c pounds of cashews for $4.99 per pound.

Now,

Since, Henry bought c pounds of cashews for $4.99 per pound.

Hence, The cost of 1 pound of cashews = $4.99

So, The cost of 2 pounds of cashews = 2 × $4.99

                                                          = $9.98

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Answers

Answer:

- 10

Step-by-step explanation:

Evaluate f(3) by substituting x = 3 into f(x) , that is

f(3) - 7 = - (3)² + 2(3) - 7 = - 9 + 6 - 7 = - 10

Fill in the table using this function rule.
y = -5x+1
Fill out the y values

Answers

a) -5(-1)+1
y=6
b) -5(0)+1
y=1
c)-5(1)+1
y=-4
d)-5(2)+1
y=-9

Find the number that makes the ratio equivalent to 1:4.
7:
Submit

Answers

Answer:

2 : 8

Step-by-step explanation:

Will mark Brianliest please answer :)

Answers

Answer:

3.5×10^4=35000

Step-by-step explanation:

Consider the value

3.5

we are saying that we are counting in units (1's) in that we have

3

1

2

of 1's

'.....................................................................................

Consider the value

3.5

×

10

. Now we are saying we have

3

1

2

of tens. That is; 3 lots of 10 is 30 and

1

2

of 10 is 5 so we have

30

+

5

=

35

'.................................................................................

Note that

10

2

is 100

Consider the value

3.5

×

10

2

. Now we are saying we have

3

1

2

of

100

'

s

So if we are counting in 100's then the decimal point stays where

it is and we move the number of 3.5 to the left until the

3 becomes hundreds.

Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.

3.5

×

10

2

−−−−−−−−−−−−−−−−−−→

slide to the left 2 places

350.0

i need help so.. help me please? :)

Answers

Answer:

29.7079632679

Step-by-step explanation:

(31.415926535898/2)+8+6

what is $2,609.75 in
expanded notation​

Answers

Answer:

twenty-three thousand nine hundred fifty-eight

Step-by-step explanation:

have a great day! also use the "expanded form calculator"

if this is not right, sorry!! <:-)

HELP ME PLSLSS I WILL MARK BRAINLEST

Answers

Answer:

1017.36cm^3

Step-by-step explanation:

9^2pi*4=1017.36

11. A rate written as 80 miles per hour is an example of a
(2 points)

A.Ratio

B.Equivalent Ratio

C.Unit Rate

Answers

The answer for this is c

2 x 5/6

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Answers

Answer:   1.66666666667

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I hope this helps!

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

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n= 12

Time = 16 years

The expression for compound interest is

A=P(1+r/n)^nt

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A=5632(1+0.02/12)^12*16

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A=5632*1.375

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Answers

LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL quadratic form 11
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Answer:

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Step-by-step explanation:

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Opposite sides are congruent opposite angles are congruent

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Answer:

y = x + 11

Step-by-step explanation:

x = Number of donuts Dave sells

y = Total amount of donuts Alex sells

Amount earned by Alex = $11 more than Dave's earning

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Total amount of donuts Alex sells = Number of donuts Dave sells + $11

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7. The price of a bike at Store A is 5/6 the price at store B. The price at store A is $150.60. Write and solve an equation to find out how much the bike is at store B. How much did you save by buying the bike at Store A.​

Answers

As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.

Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.

[tex]\frac{5}{6}[/tex] * b = 150.60

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[tex]\frac{5b}{6}[/tex] * 6 = 150.60 * 6

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Divide both sides by 5 to get rid of b's coefficient:

[tex]\frac{5b}{5}[/tex] = [tex]\frac{903.6}{5}[/tex]

b = 180.72

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Step-by-step explanation:

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Answer:

p-3=8.25

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Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

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find the value of x and y​

Answers

If your question is as made by me then the solution is given with it . Hope you find it useful.

The realtion of y is alternative angle.

Please give me the answer nothing else

Answers

Answer:

h = 45.5 ÷ 7

Step-by-step explanation:

-
Evaluate the expression for m
=7 and n = 10.
m + n =

Answers

Answer:

7 + 10 = 17

Step-by-step explanation:

Hey there!

m + n


= 7 + 10


= 10 + 7

= 17


Therefore, your answer is: 17


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find the value of b. Round your answer to the nearest tenth.

Answers

Answer:

[tex]x = 29.65 \\ = > x = 30[/tex]

Od
33
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women
in the PTA is 2 more than four times the number of men. How many women are in the
PTA?
a
42
38
ОООО
30
d
35

Answers

Answer:

38 women

Step-by-step explanation:

Question 9 (1 point)

In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the

PTA?

Let the number of men = x

Let the number of women = y

x + y = 47

y = 2 + 4x

We substitute

x + 2 + 4x = 47

Collect like terms

5x = 47 - 2

5x = 45

x = 45/5 = 9

y = 2 + 4x

y = 2 + 4 × 9

y = 2 + 36

y = 38

Therefore, the number of women = y = 38 women

I just need to drag the degrees to their corresponding parts attached (Angles in Circles) please help I don’t which ones would be correct

Answers

9514 1404 393

Answer:

DF = 75°FBE = 105°FC = 60°CBE = 45°DAC = 225°ABE = 135°AFE = 225°ABF = 120°

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

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