08.03 MC) The ages of two groups of dance students are shown in the following dot plots: A dot plot shows Age in years on the horizontal axis. For Group X, there are 3 dots on 4, 1 dot on 5, 5 dots on 8, 2 dots on 10, 3 dots on 12, and 2 dots on 16. For Group Y, there are 2 dot on 5, 3 dots on 7, 1 dot on 9, 3 dots on 11, 1 dot on 13, 2 dots on 14, 1 dot on 15, 1 dot on 18, 3 dots on 20, 1 dot on 22, and 2 dots on 24. The mean absolute deviation (MAD) for group X is 3.07 and the MAD for group Y is 5.25. Which of the following observations can be made using these data?

Answers

Answer 1

Answer:

FLVS ANSWR!!!!!!

Step-by-step explanation:

Group X has less variablility

Answer 2

Answer:

What the guy above me said.

Step-by-step explanation:


Related Questions

Does this graph represent a function? Why or why not?

Answers

Answer:

B

Step-by-step explanation:

it is not a function because it fails the vertical line test,

A vertical line intersect the graph no more than once.

Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -1. PLEASE HELP MEEE : (

Answers

Answer:  y = (1/4)x - 1 which is the same as [tex]y = \frac{1}{4}x-1[/tex]

Explanation:

We have the general slope intercept form y = mx+b. All we do is replace m with the given slope 1/4, and replace b with the y intercept -1.

So we have y = mx+b turn into y = (1/4)x+(-1) which simplifies to y = (1/4)x-1.

Can someone help me understand this please

Answers

Answer:

Step-by-step explanation

[tex]\frac{-9}{-15}[/tex]÷ [tex]\frac{x^{-1} }{x^{5} }[/tex] ÷[tex]\frac{y^{-9} }{y^{-3} }[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-1} -5[/tex]÷ [tex]y^{-9} -(-3)[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]x^{-6}[/tex] ÷ [tex]y^{-9} +3[/tex]

[tex]\frac{3}{5}[/tex] ÷[tex]x^{-6}[/tex] ÷[tex]y^{-6}[/tex]

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{1}{x^{6} }[/tex]÷[tex]\frac{1}{y^{6} }[/tex]

[tex]\frac{3}{5x^{6}y^{6} }[/tex]

Pleaseee helppppppppppppppppppp

Answers

To find Angle A we use cosine

cos ∅ = adjacent / hypotenuse

From the question

The adjacent is 17

The hypotenuse is 38

So we have

cos A = 17/38

A = cos-¹ 17/38

A = 63.4

A = 63° to the nearest degree

To find Angle C we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 17

The hypotenuse is 38

So we have

sin C = 17/38

C = sin-¹ 17/38

C = 26.57

C = 27° to the nearest degree

Hope this helps you

(sec A + tan A) (1 - sin A) = cos A prove​

Answers

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

(sec(A) + tan(A)) (1 - sin(A)) = cos(A)

Write secant as 1/cosine and tangent as sine/cosine:

(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)

Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):

(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)

Multiply both sides by cos(A):

(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2

(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:

1 - sin(A)^2 = ^?cos(A)^2

cos(A)^2 = 1 - sin(A)^2:

1 - sin(A)^2 = ^?1 - sin(A)^2

The left hand side and right hand side are identical:

Answer: (identity has been verified)

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           Hi my lil bunny!

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Let's do this step by step.

Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1

Solving L.H.S

sec A ( 1 - sin A) ( sec A + tan A)

[tex]= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})[/tex]

[tex]= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })[/tex][tex]= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}[/tex]

We know that [tex]( a - b) ( a + b) = a^2 - b^2[/tex]

[tex]= \frac{( 1^2 - sin^2 A)}{cos^2 A}[/tex]

[tex]= \frac{( 1 - sin^2 A)}{cos^2 A}[/tex]

[tex]= \frac{cos^2 A}{cos^2 A}[/tex]                         [tex]| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |[/tex][tex]1 - sin^2 A = cos^2 A[/tex]

[tex]= 1[/tex]

[tex]= R . H. S[/tex]

Thus, L.H.S = R.H.S

Hence proved.

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 1: How many area codes are possible if the first digit can't be 0? Use your keyboard and the keypad to enter your answer. Then click Done.

Answers

Answer:

1-9, 1929

Step-by-step explanation:

You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu  

George spent $40.80 on 3 identical files and 2 identical pencil cases. Each file cost $5.40 less than a pencil case. How much did George pay for each file?​

Answers

Answer:

He spent $6 on each file

Step-by-step explanation:

Hello,

To solve this question, we need to bring out our variables from the equation.

He spent $40.80 for 3 files and 2 pencil cases

Let x represent the file

Let y represent the pencil case

But the file is $5.40 less than each pencil case

x = y - 5.40.....equation (i)

40.80 = 3x + 2y .......equation (ii)

Substitute equation (i) into equation (ii)

40.80 = 3(y - 5.40) + 2y

40.80 = 3y - 16.20 + 2y

Collect like terms

40.80 + 16.20 = 3y + 2y

57 = 5y

Solve for y

y = 57 / 5

y = 11.4

The pencil case costs $11.4 each.

Put y = 11.4 into equation (i)

x = 11.4 - 5.40

x = 6.0

The file costs $6 each

the length of a rectangular plot of land exceeds the width by 7 m if the area pf the plot is 198 m square what is the length

Answers

Answer:

28.142m

Step-by-step explanation:

area of rectangle=width x lenght

so; (rotating the formula with what is given)

area of rectangle/width=lenght

197/7=lenght

28.142m =lenght

Answer:

Length is 18 m and width is 11 m

Step-by-step explanation:

So based on the information given length is seven cm more than your width, and since we don’t know the values of these, we can plot this information into a formula that looks like this: (x+7)(x)=198, which is basically how you take the area of the plot of land.

If you multiply your values, you will get a quadratic equation that looks like this x²+7x-198. If you follow the quadratic formula to solve this equation, the positive result you will get for x is 11, this is your width. And since length exceeds by 7, you just add 7 to 11 to find the length, which ends up being 18.

to verify, you can simply multiply these two values

consider the function y= -2 cos(x- pi). what effect does "-2" have on the basic graph? A) horizontal stretch by the factor 2 then flip over vertical axis b) vertical stretch by factor 2 then flip over horizontal axis c) vertical compression by factor 2 d) horizontal compression by factor 2

Answers

Answer:

The correct option is;

b) Vertically stretches by a factor 2 then flip over horizontal axis

Step-by-step explanation:

In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y

Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.

A track coach is trying to improve the 50 -meter-dash times of the track team. He times each student and then implements a month-long training program. At the end of the program, he timed each of the students again. The box plots show the number of seconds it took the students to run the 50 -meter-dash before and after the program. Using the plots, how much did the median change?

Answers

Answer:

-5

Step-by-step explanation:

Given the two box plots showing the number of seconds the students completes the 50-meter-dash race before and after the program, we are to determine the difference between the median value of seconds before and after the program.

Median in a box plot is represented by the vertical line that divides the rectangular box in a box plot.

Thus, the median before the program = 15 seconds

The Median after the program = 10 seconds

The median change = 10 - 15 = -5 seconds.

This means, after the program, most of the students now finish the 50-meter-dash faster, about 5 seconds less the former seconds used before the program.

Answer:

-5

Step-by-step explanation:

i did it on Imagine Math and i got it correct!

If anyone doesn't mind helping may you plz help me

Answers

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

SAS Postulate

we know that the triangles (as a whole) as vertical angles meaning they are congruent. We also know FD and BD are congruent to themselves by the reflexive property. And the last side is already congruent (it’s given) :))

What is the domain of the function f(x) 2/5 startroot x = ? all real numbers all real numbers less than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0

Answers

Answer:

[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]

Step-by-step explanation:

The domain of a function is all possible values for x.

[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]

There are restrictions on x.

The square root of a number can be undefined if that number is less than 0.

The value of x is all real numbers greater than or equal to 0.

The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = (2/5)√x

The value under the square root should not be negative. Then the equation is given below.

x ≥ 0

Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.

Then the correct option is C.

More about the function link is given below.

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The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4 % 4\% 4% on Tuesday, 4 % 4\% 4% on Wednesday, 4 % 4\% 4% on Thursday, 8 % 8\% 8% on Monday, and 12 % 12\% 12% on Friday. The Company manufactures an equal amount of ball bearings ( 20 % 20\% 20%) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday?

Answers

Answer:

The probability that a defective ball bearing was manufactured on a Friday is 0.375.

Step-by-step explanation:

The conditional probability of an events X given that another event A has already occurred is:

[tex]P(X|A)=\frac{P(A|X)P(X)}{P(A)}[/tex]

The information provided is as follows:

P (D|M) = 0.08

P (D|Tu) = 0.04

P (D|W) = 0.04

P (D|Th) = 0.04

P (D|F) = 0.12

It is provided that the Company manufactures an equal amount of ball bearings, 20% on each weekday, i.e.

P (M) = P (Tu) = P (W) = P (Th) = P (F) = 0.20

Compute the probability of manufacturing a defective ball bearing on any given day as follows:

[tex]P(D)=P(D|M)P(M)+P(D|Tu)P(Tu)+P(D|W)P(W)\\+P(D|Th)P(Th)+P(D|F)P(F)[/tex]

      [tex]=(0.08\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.12\times 0.20)\\\\=0.064[/tex]

Compute the probability that a defective ball bearing was manufactured on a Friday as follows:

[tex]P(F|D)=\frac{(D|F)P(F)}{P(D)}[/tex]

             [tex]=\frac{0.12\times 0.20}{0.064}\\\\=0.375[/tex]

Thus, the probability that a defective ball bearing was manufactured on a Friday is 0.375.

n unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and

Answers

Answer:

Add the equations to eliminate x.  

Step-by-step explanation:

(1)  y = 10 + x

(2) y =   3 - x

An easy way to solve this problem is to add the two equations to eliminate x.

(3) 2y = 13

From here, you can calculate y and then x.

Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =

Answers

Answer:

x = 4 or x = - [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Given

(2x - 8)(7x + 5) = 0

Equate each factor to zero and solve for x

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4

7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]

Question 8 of 10
A T-shirt vendor is thinking about changing the number of T-shirts he brings to
an event. To make sure he doesn't run out, he plans to bring more of the size
most likely to be sold.
The table shows the number of T-shirts of each size sold at his last event and
the number he had for sale.
Sold
Number for sale
180
Small
126
Medium
220
270
284
315
Large
X-Large
95
135
Which size should he bring more of?
A. Small
B. Medium
C. Large
D. X-Large

Answers

Large-size shirts should be brought more of which is more likely to be sold.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

                  Sales       Sold

Small            180          126

Medium        220          270

Large            284           315

x-large           95            135

Now,

The percentage of small size sold.

= 126/180 x 100

= 70%

The percentage of medium size sold.

= 220/270 x 100

= 81.5%

The percentage of large size sold.

= 284/315 x 100

= 90%

The percentage of x-large size sold.

= 95/135 x 100

= 70%

Thus,

Large-size shirts are sold more.

Learn more about expressions here:

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An oblique cylinder has a radius of 10 units and slant length of 26 units. An oblique cylinder has a radius of 10 units and a slant length of 26 units. What is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units

Answers

The volume of the oblique cylinder with the given parameters is: 2,400π

What is the Volume of an Oblique Cylinder?

Volume of an oblique cylinder = πr²h

r is the radius, h is the height of the cylinder.

Given the following:

r = 10 unitsSlant height (l) = 26 unitsh = √(26² - 10²) = 24 units  [Pythagorean Theorem]

Volume of oblique cylinder = π(10²)(24)

Volume of oblique cylinder = 2,400π

Learn more about the volume of oblique cylinder on:

https://brainly.com/question/15940389

Answer: a

Step-by-step explanation:

BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Find the 15th term: 3, 1, -1, -3, -5... Find the 14th term: 3, 1, -1, -3, -5...

Answers

Answer:

-25 and -23

Step-by-step explanation:

The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.

Explicit formula: aₙ = a₁ + (n - 1) * d

Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5

a₁₅ = -2 * 15 + 5 = -25

a₁₄ = -2 * 14 + 5 = -23

Answer: -25 and -23

Step-by-step explanation:

Please answer this question now

Answers

Answer:

d = 8.5

Step-by-step explanation:

The following data were obtained from the question:

Angle D = 100°

Opposite D = d

Opposite E = e = 6

Opposite F = f = 5

Thus, we can obtain the value of d by using the cosine rule as shown below:

d² = e² + f² – 2ef Cos D

d² = 6² + 5² – 2 × 6 × 5 × Cos 100°

d² = 36 + 25 – 60 × Cos 100°

d² = 61 – – 10.419

d² = 61 + 10.419

d² = 71.419

Take the square root of both side.

d = √71.419

d = 8.5

Therefore, the value of d is 8.5


Which expression is equivalent to
-21/4over -2/3

Answers

Answer:

[tex]\frac{9}{4}/\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{4}[/tex] is equilavalent to [tex]-\frac{9}{4\\}[/tex].

[tex]-\frac{2}{3}[/tex] can stay put.

The equation is division so neither answers #2 and #3 are the correct ones because when dividing fractions the second fraction has to be flipped in order to continue multiplying instead.

In addition, when two negatives are put together the answer must always be positive.  

Hence the answer is [tex]\frac{9}{4}/\frac{3}{2}[/tex].

In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval for the population proportion

Answers

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]

[tex]p_{hat}[/tex] is the proportion:

[tex]p_{hat}[/tex] = [tex]\frac{1455}{2957}[/tex]

[tex]p_{hat}[/tex] = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576.[tex]\sqrt{\frac{0.49(1-0.49)}{2957} }[/tex]

0.49 ± 2.576.[tex]\sqrt{\frac{0.49*0.51}{2957} }[/tex]

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answers

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

Answer:

B

Step-by-step explanation:

Solve for x: (-1/2) x = 6

Answers

Answer: x = -12

Step-by-step explanation:

-1/2x=6

Divide by -1/2

x = -12

Hope it helps <3

Solve, graph and give the solution in interval notation 3x+6<12

Answers

Answer:

Step-by-step explanation:

3x + 6 < 12

     -6      -6

3x < 6

x < 2

    x < 2

  <------------o  

                  2

What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2

Answers

Step-by-step explanation:

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The cylinder shown has a lateral surface area of about 400 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi.

Answers

Answer:

r = 1.59inch

the radius of the cylinder is

1.59inch

Step by step Explanation

lateral surface of a cylinder can be calculated using the below formula

Surface Area= 2 πr h

We were given area as 400inch^2 and height as 40inch then substitute we have

400 = 2 ×π × r ×40

400= 2×22/7×40

Then do the calculation, where, π

=22/7

400 = r × 251.2

Make r subject of formula we have

r = 400 / 251.2

r = 1.59inch

Therefore, the radius of the cylinder is

1.59inch

CHECK THE ATTACHMENT FOR THE FIGURE

HELP PLEASE Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68

Answers

Answer:

679=49

Step-by-step explanation:

3838 is the one for 928 cause 666

A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon. Write your answer as a fraction in simplest form.

Answers

Answer:

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Step-by-step explanation:

Given

[tex]Red = 9[/tex]

[tex]Blue = 2[/tex]

[tex]Yellow = 5[/tex]

Required

Probability of Red or Blue

First, it should be noted that the event described in the question are mutually exclusive or disjoint events;

Meaning that the probability of one have no effect the other;

Having said that; the Probability of Red ot Blue is as follows

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

Calculating [tex]P(Blue)[/tex]

[tex]P(Blue) = Number\ of\ blue\ crayon / total\ crayon[/tex]

[tex]P(Blue) = \frac{2}{9+ 2 + 5}[/tex]

[tex]P(Blue) = \frac{2}{16}[/tex]

Calculating [tex]P(Red)[/tex]

[tex]P(Red) = Number\ of\ red\ crayon / total\ crayon[/tex]

[tex]P(Red) = \frac{9}{9+ 2 + 5}[/tex]

[tex]P(Red) = \frac{9}{16}[/tex]

Substitute these values in the formula given above

[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]

[tex]P(Red\ or\ Blue) = \frac{9}{16} + \frac{2}{16}[/tex]

Take LCM

[tex]P(Red\ or\ Blue) = \frac{9 + 2}{16}[/tex]

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

Hence, the probability of a red or blue crayon is

[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]

How do I know the following equation is true:

Answers

Answer:

The equation is true

Step-by-step explanation:

The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.

Mathematically we know that pi = 180 degrees

So pi/8 = 22.5

and pi/4 = 180/4 = 45

So let’s make our check.

Insert pi = 22.5 and pi = 45

So we have;

tan 22/5 = √(1-cos45)/(1+cos45)

Now let’s evaluate this using a calculator.

tan 22/5 = 0.414213562373

The term in the root; 0.171572875254

The square root of this number is 0.414213562373

This is exactly as what is obtained with the tan 22.5

So we conclude that what we have is true

PLs help asap will make brainlist I need to finish this

Answers

Answer:

B. 33

Step-by-step explanation:

45/30 = x/22

3/2 = x/22

2x = 3 * 22

x = 3 * 11

x = 33

Answer:

B. 33

Step-by-step explanation:

39 / 26 = 1.5

45 / 30 = 1.5

22 x 1.5 = 33

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