1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.

Answer:

10

Step-by-step explanation:

Answer:

12

f = function

your functions are the 1st box and your outputs are the second box

Answer:

Decrease

Step-by-step explanation:

Answer:

roughly 9 times

Step-by-step explanation:

each side on a standard 6 sided die has a 1/6 chance of landing. you you multiply (1/6)×54 you would get the answer 9 so theoretically you would get a "4" 9 times

Answer:

c

Step-by-step explanation:

Given the2 equations

y = x + 4 → (1)

x + y = 2 → (2)

Substitute y = x + 4 into (2)

x+ x + 4 = 2

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = - 1 + 4 = 3

solution is (- 1, 3 ) → c

Answer: h= 6

Step-by-step explanation:

Answer: non- proportional

Step-by-step explanation:

doesn't go through (0,0)

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

To find the slope of a line, we would need to use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]. These points can be any two points that fall on the line.

In the graph, two points we can use to find the slope is (1, 2) and (-2, 0).

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\frac{0-2}{-2-1} \\= \frac{-2}{-3} \\= \frac{2}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].

I hope this helps!

Answer:

D. x2 = 52 + 32 – 2(5)(3)cos(140°)

Step-by-step explanation:

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.

The distance, x, from the starting point is;

From the cos law ;

x² = a² +b²-2ab cosΘ

From the digrame it is obtained that;

a =5

b =3

Θ = 180 ° +70° -30°

Θ = 180°- 40°

Θ = 140°

Substitute the values;

x² = a² +b²-2ab cosΘ

x²=5²+3²-2(5)(3)cos(140°)

The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).

Hence option B is corect.

To learn more about the distance refer to the link;

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Answer:

-1 , I think it is correct , if not plz forgive

Step-by-step explanation:

a -4b

7-4×2

7- 8

=-1

Answer:

Annual deposit= $4,699.46

Step-by-step explanation:

Giving the following information:

Future value (FV)= $25,000

Number of periods (n)= 5 years

Interest rate (i)= 3.1% = 0.031

To calculate the annual deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (25,000*0.031) / [(1.031^5) - 1]

A= $4,699.46

Divide $85.50 by 6

$85.50/6 = $14.25

Therefore, the rate per hour for renting the scooter is $14.25

Answer:

It might just be me but the pic is super blurry could you possibly get a better one?

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Corey has saved an amount of 24 dollars, if they have saved up a total of $78.00.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's assume that Corey has saved an amount of x dollars.

Given that Jasper and Corey have saved up a total of $78.00.

Jasper has saved 6 dollars more than twice as much as

Corey.

As per the given condition, the algebraic form is:

(6 + 2x) + x = 78.  

Rearrange the terms of variables of x in the above equation,

6 + 2x + x = 78

Apply the addition operation,

6 + 3x = 78

Subtract 6 from both sides in the equation,

3x = 72

Now divide both sides by 3 in the equation,

x = 24

Therefore, Corey has saved an amount of 24 dollars.

Learn more about the equation here:

brainly.com/question/10413253

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Answer:

A.

Step-by-step explanation:

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.  

Answer:

see explanation

Step-by-step explanation:

Writing an expression for the perimeter (P) of the triangle

P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum

P = 3(x - 4.5) ← as a product

Answer:

56mL of oil for every 21mL of vineger

Step-by-step explanation:

56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!

Answer:

(14, 4)

Step-by-step explanation:

The question is not well structured and incomplete.

Restructured

Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)

Substitute the given vector into the expression for vec t.

Recall that: vec t = 4 vec u +6 vec v

vec t = 4(-1,4)+6(3,-2)

vec t = (4(-1), 4(4)) + (6(3), 6(-2))

vec t = (-4, 16) + (18, -12)

vec t = (-4+18, 16+(-12))

vec t = (14, 16-12)

vec t = (14, 4)

Hence an ordered pair to represent vec t in the equation is (14, 4)

Note that the vec v was assumed. Any other vector coordinate can also be used

Answer:

not a function

Step-by-step explanation:

trust

Answer:

45

Step-by-step explanation:

∡L ≅ ∡M, given  

ΔKLM is isosceles because base angles are congruent

KM ≅ KL and KM = KL

KL = 12

∡K =∡J = 60°, given

∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°

∡M = 60

∡K =∡J =∡M =  60°

ΔKJM is is equilateral because all angles have the same measure.

KM = 12

KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal

ML = 9, given

The perimeter of JKLM is the sum of the sides

P = ML +KL +KJ +MJ

P = 9 + 12 + 12 +12 = 9 +36 = 45

Answer:

8.33%

Step-by-step explanation:

We are told to:

Express the first quantity as a percentage of the second

a. 80cents of $9.60

The first quantity is 80 cents, the second quantity is $9.60

Step 1

We convert 80 cents to a dollar

100 cents = $1

80 cents = $x

$x = 80/100 = $0.8

Step 2

We express $0.8 as a percentage of $9.60

Hence, we have:

$0.8/$9.60 × 100

= 8.33%

Answer:

$45

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

If they are 25% off, they are now wroth 75% of original price

0.75 * $60 = $45

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Answer:

The percentage of people who are satisfied with this car model is 30%.

Step-by-step explanation:

Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :

1,900 = 100

570 = X

((570 x 100) / 1,900) = X

57,000 / 1,900 = X

30 = X

Therefore, the percentage of people who are satisfied with this car model is 30%.

Answer:

Fourth choice, 1/6

Step-by-step explanation:

15 + 8 + 10 + 12 + 15 = 60

Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6

Answer:

$48.75

that is the answer

Answer:

Jazmine will pay only $40 for both discounts.

Step-by-step explanation:

First we need to add the two discounts, 35% + 25% = 60%.

Now we need to convert 60% into a decimal, which is 0.60.

Now we need to multiply the regular price, $100, by 0.60.

$0.60 × $100 = $60.

Now we subtract the discount by the amount, $100 - $60 = $40.