Please help. I just need to know what the missing side is.

The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210

From the question, we are to write an equation for the given problem

From the given information,

n = Tom's weight in pounds

If Jim weighs 30 pounds less than Tom

Then,

Jim weighs (n - 30)

Thus,

The sum of their weight is

(n-30) + n

∴ (n-30) + n = 210

Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210

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Using the quotient rule, the derivative of [tex]y[/tex] is

[tex]y' = \dfrac{(x^2-1) x' - x(x^2-1)'}{(x^2-1)^2} = \dfrac{(x^2-1) - x(2x)}{(x^2-1)^2} = -\dfrac{x^2+1}{(x^2-1)^2}[/tex]

as you're shown in the picture.

If [tex]y[/tex] has any local extrema, they occur at critical points where [tex]y'=0[/tex] or possibly when [tex]y'[/tex] is undefined.

In this case, [tex]y'[/tex] is undefined when [tex]x=1[/tex], but this is outside the domain of [tex]y[/tex] anyway, so we can ignore that.

That leaves us with the zero-case. For [tex]x\neq1[/tex], the denominator is always positive, so the numerator must be zero. But this never happens, since

[tex]-(x^2+1) = 0 \implies x^2 = -1[/tex]

but [tex]x^2\ge0[/tex] for all real [tex]x[/tex]. Therefore [tex]y[/tex] has no critical points and thus no extrema.

Answer:

19/20

Step-by-step explanation:

He got 4 incorrect, meaning he got 80-4 correct.

80-4 = 76.

Fraction = 76/80 = 38/40 = 19/20.

Answer:

19/20

Step-by-step explanation:

[tex]\frac{80-4}{80} =\frac{76}{80} =\frac{19}{20}[/tex]

Hope this helps

Using the disk method, the volume of the solid is

[tex]\displaystyle \pi \int_3^8 \left(\dfrac1{2x-1}\right)^2 \, dx = \pi \int_3^8 \frac{dx}{(2x-1)^2}[/tex]

Substitute [tex]u = 2x-1[/tex] and [tex]du=2\,dx[/tex].

[tex]\displaystyle \pi \int_3^8 \frac{dx}{(2x-1)^2} = \frac\pi2 \int_5^{15} \frac{du}{u^2} \\\\ ~~~~~~~~ = -\frac\pi2 \frac1u \bigg|_5^{15} \\\\ ~~~~~~~~ = -\frac\pi2 \left(\frac1{15} - \frac15\right) = \boxed{\frac\pi{15}}[/tex]

Answer:

9/20

Step-by-step explanation:

Total number of candies =60

Number of Green candies, n(G)=36

Number of candies with caramel, n(C)=45

Since the events are independent, the probability of selecting two candies where the first is green and the second has caramel is given by:

P(GC)=P(G) X P(C)

\begin{gathered}=\dfrac{n(G)}{n(S)} X \dfrac{n(C)}{n(S)} \\=\dfrac{36}{60} X \dfrac{45}{60}\\ =\dfrac{9}{20}\end{gathered}=n(S)n(G)Xn(S)n(C)=6036X6045=209

The probability in its lowest form is 9/20.

Answer:

20

Step-by-step explanation:

According to Euclidian theorem:

h^2 = AD*CD (h is the height, DB in this case)

rewrite the equation by using given values

10^2 = 5*CD find the square value of 10

100 = 5*CD divide both sides by 5

20 = CD

Answer:

54y+78

Step-by-step explanation:

6*3y+ 18y

6*7=42

4*9=36

4*9y=36y

18y+36y+42+36= 54y+78

The required value of function F(x), when x=18 is -2

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table
x     = 2   3   5   6  7  8  9
F(x) = 21  10 10  8  9  5  6

What is line?
line, is curve showing the shortest distance between 2 points.

Now, putting x = 18 in f(x) ≈ −0.86x + 13.5
f(x) ≈ −0.86(18) + 13.5

= -1.98
≅ -2 (approximation)

Thus, the required values of x=18 in a line of best fit is -2.

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Step-by-step explanation:

1825%

and percentage means 100

so 1825/100=73/4

The interest you will earn from the loan of 500 dollars at rate of 6% and 6 months is $15.

He borrowed $500 and she will pay at the end of 6 months.

The interest rate is 6%.

Therefore,

I = prt / 100

where

Therefore,

I = 500 × 6 × 0.5 / 100

I = 1500 / 100

I = $15

Therefore, the interest you will earn from the loan is $15.

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Answer:

$9.66 isb15% of $64.40

Step-by-step explanation:

64.40×15%

See the graph in the attached image.

Answer:

[tex] \large{ \boxed{ \tt{ - 20a {z}^{2} - 2 {z}^{3} - 2 {a}^{3} + 11 {a}^{2} z }}}[/tex]

- Please see the attached picture for full solution!:)

----------------- HappY LearninG <3 --------------

Answer:

(y - x)/(y + x)

Step-by-step explanation:

(1/x - 1/y)/(1/x + 1/y) =

= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)

= (y - x)/(y + x)

Using the x-intercept concept, the function has x-intercept of 4 when c = -2.

The x-intercepts of a function are the values of x when y = 0.

In this problem, the function is:

cx - 5y + 8 = 0.

When y = 0, we have that:

cx + 8 = 0

x = 4, hence:

4c = -8

c = -2.

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Answer:

its 20, because I said it

Step-by-step explanation:

so 5+5=10

30-10=20

Answer:

Step-by-step explanation:

To find the total perimeter of the parallelogram we must add 200+200+150+150

This equals 700. Then, since squares have side lengths that are all equal, we have to divide by 4.

700 / 4 = 175

So, the length of a side of a square having this perimeter would be 175mm

Hope this helps!

Answer:

corresponding angles

Step-by-step explanation:

i dont cap

The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees

Start by solving the acute part of angle A using the following sine function

sin(Ax) = (30 - 4)/32

Evaluate the quotient

sin(Ax) = 0.8125

Take the arc sin of both sides

Ax = 54.3

The measure of angle A is then calculated as:

A = 90 + Ax

This gives

A = 90 + 54.3

Evaluate

A = 144.3

Hence, the measure of angle A is 144.3 degrees

In (a), we have:

Ax = 54.3

This represents the angle where the molding would be cut

Hence, the angle to cut the molding is 54.3 degrees

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The 8% of us states have names that start with the letter w the answer is 8%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The complete question is:

Of the 50 us states 4 have names that start with the letter w what percentage of us states have names that start with the letter w.

The percentage of the US states that have names that start with the letter W can be calculated:

Percentage = (No of US states starting with W/Total no of US states)×100

Percentage = (4/50)×100

Percentage = 8%

Thus, the 8% of us states have names that start with the letter w the answer is 8%.

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The midrange of the weekly salaries is $902.50.

Midrange is a measure of variation of a data set. Midrange is the mean of the lowest and highest salary.

Midrange + (lowest salary + highest salary) / 2

(692 + 1113) / 2 = $902.50

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The amount of paper that are needed to line the bottom of 3 drawers with paper is equal to 2,160 square inches.

First of all, we would calculate the area of the bottom of each drawer as follows:

Area = length × width

Area = 36 × 20

Area = 720 square inches.

Next, we would multiply this area by 3:

Total area = 720 × 3

Total area = 2,160 square inches.

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Complete Question:

A decorator wants to line the bottom of 3 drawers with paper. If the bottom of each drawer measures 36 inches by 20 inches, how many square inches of paper are needed?

A. 1,040

B. 1,080

C. 2,040

D. 2,160

The graph is shown in the attached image.

Answer:

  the numbers are 3, 5, 4

Step-by-step explanation:

The given relations can be written as a system of equations. These are conveniently solved using elimination.

Let the three numbers be represented by x, y, z. The given relations are ...

  x +y +z = 12

  x -y +z = 2

  x +y -z = 4

Subtracting the second equation from the first gives ...

  (x +y +z) -(x -y +z) = (12) -(2)

  2y = 10 . . . . . . . . . simplify

  y = 5 . . . . . . . . divide by 2

Subtracting the third equation from the first gives ...

  (x +y +z) -(x +y -z) = (12) -(4)

  2z = 8 . . . . . . . . . simplify

  z = 4 . . . . . . . . divide by 2

Using these values of y and z in the first equation lets us find x:

  x +5 +4 = 12

  x = 3 . . . . . . . . . subtract 9

The numbers, in order, are (3, 5, 4).

Answer:

248.00

Step-by-step explanation:

A = P(1 + rt)

A = the future value

P = the initial principal

r = annual interest rate (decimal)

t = the time in years

A=200(1+0.2*12)

Answer:

75

Step-by-step explanation:

1) given

2) given

3) Definition of linear pair

4) If alternate interior angles are congruent, then the lines are parallel.