Simplify and determine the coefficient of (- 2/3 x)(3y)(-2x).
4
-4
1/3
1

The range of distance between Aaron and Clara is 7<d<23.

The range of possible distance from Aaron to Clara:

So, the range is: 7<d<23

Therefore, the range of possible distance from Aaron to Clara is 7<d<23.

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Answer:

  z^2/(x^3y)

Step-by-step explanation:

We assume you want to simplify ...

  \(\dfrac{x^{-2}y^0z^2}{xy}=x^{-2-1}y^{0-1}z^2=x^{-3}y^{-1}z^2\\\\=\boxed{\dfrac{z^2}{x^3y}}\)

_____

Comment on the given expression

What you have written is ...

  (x^-2y^0z^2/x)y = yz^2/x^3

The order of operations requires that division and multiplication be done in the order of appearance, so a/xy means (a/x)y unless you put parentheses on the denominator product. Typesetting the expression lets you use the fraction bar for grouping, so parentheses are not needed when that form is used.

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

Answer:

2 boxes

Step-by-step explanation:

8 cupcakes in 1 box = 16 cupcake in x box

We Take

16 ÷ 8 = 2 boxes

So, the answer is 2 boxes.

Answer:

see below

Step-by-step explanation:

y = a cos ( bx)

The amplitude is |a|

y = -2cos (3x) so the amplitude is |-2| = 2

The period is  2pi/b

period is  2pi/3

Answer:

im so sorry

Step-by-step explanation:

Answer:

(1/3)*(5 1/2) = 1.83333333333 or 1.8

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

percentage for corn =30

total no. of acres of the land=48

=30 × 48

100

=14.4

Answer:

The correct answer is D. y = 3.35x + 73.96.

Step-by-step explanation:

D. y = 3.35x + 73.96

Answer:

2400

Step-by-step explanation:

x+y+z=147

x+(x+1)+(x+2)=147

3x+3=147

3x=144

x=48

The three consecutive positive numbers are 48, 49, and 50.

48 • 50 = 2400

Answer:

2400 just believe me I’m correct

Let:

x = Number of road bikes

y = Number of town Cruisers

A maximum of 60 hours a week is set aside to complete the essay for both types of bike

so:

After assembly for safety reasons the assembly needs to be checked and tested it takes 1/2 hour to check and test the road bikes in 1/4 hour to check and test the time Cruisers a maximum of 20 hours per week is set aside to complete these tasks for both types of bike, so:

Therefore, the system is given by:

Answer:

y=1.164x+0.885

Step-by-step explanation:

np

The length of time it would take to make 5 bags is 20 minutes.

The rate at which Sean makes the bags of candies have to determined. The rate is the total bag made in  minutes divided by time.

Rate = total bags / time

4 / 16 = 0.25 bag / minute

The second step is divide total bags by the rate.

Time = bags / rate

5 / 0.25 = 20 minutes

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To beat the school long jump record, John must jump an additional 5 1/4 inches

From the given question, we are to determine how farther John must jump in order to break the record

From the given information,

"A high school track team's long jump record is 23 ft 1 3/4 in"

and

"John's best long jump is 22 ft 8 1/2 in"

First, we will convert the distances to inches

NOTE: 1 ft = 12 inches

23 ft 1 3/4 in = 276 + 1 3/4 in = 277 3/4 in

22 ft 8 1/2 in = 264 + 8 1/2 in = 272 1/2 in

Now, to determine how farther John must jump, we will subtract the distances

277 3/4 in - 272 1/2 in = 5 1/4 in

Hence, he must jump 5 1/4 in farther

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Answer:

s=P-b/2

Step-by-step explanation:

P-b=2s

P-b/2=s

The solution for the variable s in the equation P = b + 2s is s = (P - b) / 2.

To solve the equation P = b + 2s for the variable s, we need to isolate s on one side of the equation.

Here's the step-by-step process:

P = b + 2s

Subtract b from both sides:

P - b = b - b + 2s

P - b = 2s

Divide both sides by 2:

(P - b) / 2 = (2s) / 2

(P - b) / 2 = s

Therefore, the solution for s is (P - b) / 2.

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Answer:

34

Step-by-step explanation:

4(2)-2(7)+40

8-14+40

-6+40=34

4a-2b+40

4x2-2x7+40

8-14+40

-6+40

34 is the answer.

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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Answer:

3

Step-by-step explanation:

distance from -2 to 2  is xf - xi = 2 - (-2) = 4 units

change of f(-2) to f(2) = yf - yi = 4 - (-8) = 12 units

average rate of change

m = Δy/Δx = 12 / 4 = 3 units/unit

Answer:*

Step-by-step explanation:

Answer:

113

100

Step-by-step explanation:

63           50  

100         100

       113

       100

Answer:

113/100 or 1 13/100

Step-by-step explanation:

convert the 10 in 5/10 into 100 by multiplying 10x10 and do this repeatedly with 5, 5x10 and you will get 50/100, 50/100 x 63/100 is 113/100 or 1 13/100

hoped this helped <3

expression: 63/100+5/10 =x/100=5x10=50=50/100+63/100=113/100=1 13/100 x=50

have a great day!! :))

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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If the initial time was 60 seconds and 18 seconds have passed,

There would be 42 seconds left.

Answer:

thank you it means a lot

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

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Answer:

im sorry i took long im not the best at math but since 10 equals r im not sure what you need to know but i think its 3+5r=80 i hope this help

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

18 is the correct answer

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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The volume of the cuboid whose sum of all perimeters is 96 cm and the ratio among its dimensions is 1:2:3 is 24,576 cm³.

Volume refers to the space occupied by a three-dimensional object.

Mathematically, the volume of a cuboid is the product of the multiplication operation of its length, width, and height.

The sum of all perimeters of a cuboid = 96 cm

The ratio among the dimensions = 1:2:3

Volume = length x width x height

Let the ratio of its length = 3

Let the ratio of its height = 2

Let the ratio of its width = 1

The sum of ratios = 6 (3 + 2 + 1)

Length = 3/6 x 96 = 48 cm

Height = 2/6 x 96 = 32 cm

Width = 1/6 x 96 = 16 cm

Volume = 24,576 cm³ (48 x 32 x 16)

Thus, the volume of the cuboid is 24,576 cm³.

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