Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B) + n(C)

Answer:

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

Answer:

8.513 is the answer

Step-by-step explanation:

The value of 5 in 0.5 is the tenths place, hence if we look at all other options, the values of 5 are 5(ones place), and 0.05(Hundredth), so the option of 8.513 suits the question's answer. Hope this helped, Thank you.

Answer:

$11,357 is withheld for taxes

Answer:

1/3

Step-by-step explanation:

3 1/3 divided 10 = 1/3

Answer:

21n=

n-number and since its a number (n) and 21 you would put 21n

Answer:

[tex]\boxed {\tt 21n}[/tex]

Step-by-step explanation:

We want to write the product of a number and 21 as an algebraic expression.  Let's define "a number" as the variable n.

We know that "product" means multiplication. The product of a number, n, and 21 is equal to multiplying n and 21.

[tex]n*21[/tex]

21 and n can be flipped due to the commutative property of multiplication.

[tex]21*n[/tex]

[tex]21n[/tex]

The product of a number and 21 is 21n.

Answer:

-5 > x

Step-by-step explanation:

-80>16x

Divide each side by 16

-80/16>16x/16

-5 > x

Answer:

0.072

Step-by-step explanation:

0.09 × 0.08

Here's the diagram/ explanation

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

Answer:

x<1/3

Step-by-step explanation:

Answer:

The answer is -4-2 = -6

Answer:

-6 is the answer hope that helps

Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Step-by-step explanation:

A really simple conditional statement can be written as:

If P, then Q

Where P is the hypothesis, and Q is the conclusion.

In this case, we know that:

"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"

This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66

Then we can write a conditional statement:

If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Answer:

n = -8

Step-by-step explanation:

[tex]- 5n - 2 = 38[/tex]

Collect like terms and simplify

[tex]-5n = 38+2\\\\-5n = 40[/tex]

Divide both sides of the equation by -5

[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]

Simplify

[tex]n = -8[/tex]

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

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Precision is how detailed a measurement is.

7.033 has 3 digits after the decimal point

6.91 has 2 digits after the decimal point

7.1 has a single digit after the decimal point.

Since 7.033 has the most digits after the decimal point, it is more precise than the others.

Answer:

A: paying for some or all of your medical costs while you are insured.

Step-by-step explanation:

Health insurance helps to protect you from financial loss by: a. paying for some or all of your medical costs while you are insured.

Health insurance is an insurance coverage that help to cover your medical costs or medical expenses incase of unforeseen circumstance such as:

Health insurance is important as it help to save cost which means that you will spend less when it come to medical care because you are insured.

Hence, your health insurance company or insurance provider will be responsible for paying for your medical expenses in as far as you are still insured by them.

Inconclusion health insurance helps to protect you from financial loss by: a. paying for some or all of your medical costs while you are insured.

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[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]

[tex]\hrulefill[/tex]

To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.

[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]

To find how far the car will travel in a certain time, just multiply the speed by the time.

[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]

[tex]\large\boxed{3\ \text{km}}[/tex]

Answer:

4.13 miles

Step-by-step explanation:

i believe

Answer:

4.1285714286

Step-by-step explanation:

Answer:

( 1, 8 )

Step-by-step explanation:

The distance between (5,0) and (3,4) is (-2,4).

As M is the midpoint we add the distance of half the line to it to get the full line.

(3,4) + (-2,4) is (1,8) which is S

Answer:

bruhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

Given

We can see from the equations that

So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.

Is the equation set to indicate use of the units A and B

Solving we get

It this case all the units are used and profit is maximum

Answer:

This is the answer

Answer: B

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

180-95=85

180-(85+60)=35

Answer:

.525

Step-by-step explanation:

Five hundred twenty-five thousandths is a decimal number will be 0.525.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.

The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-

Five hundred twenty-five thousandths = 0.525

Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.

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Answer:

Option (A)

Option (D)

Step-by-step explanation:

From the graph attached,

Values of function have been plotted on y-axis for every input value of 'x' on x-axis.

Graph clearly states that the function is positive (positive y-values or y > 0) in the two intervals,

-5 < x < 0 and 3.5 < x < 5

Therefore, option (A) and Option (D) will be the correct options.

Answer:

The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).

Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Answer:

Step-by-step explanation:

Area: 28.26

Circumference: 12.56