A number is increased by 20%. Work out the original number of the increase is 600

Answer:

Step-by-step explanation:

b

The volume of a right rectangular prism is given by the formula V = lwh, where l, w, and h represent the length, width, and height of the prism, respectively. Since the prism is right and rectangular, the length and width are perpendicular to each other.

We are given that the height of the prism is 17.5 centimeters and the area of the base is 18 square centimeters. Since the base is rectangular, we can find the length and width by dividing the area by one of the dimensions and multiplying by the other. Let's say the length is x and the width is y, then:

xy = 18   (area of base)

y = 18/x  (solve for y)

Now, we can substitute the value of y in terms of x into the formula for the volume:

V = lwh = xyh = (18/x)(x)(17.5) = 315 cubic centimeters

Therefore, the volume of the right rectangular prism is 315 cubic centimeters.

Answer: If the swimmer can complete 1 lap across a pool in 1/3 minute, she can complete 3 laps in 1 minute.

In 10 minutes, she would complete:

3 laps/minute x 10 minutes = 30 laps

Therefore, the swimmer will have completed 30 laps in 10 minutes if she maintains that pace.

Since 30 laps is greater than 10, it means that the swimmer will complete more than 10 laps in 10 minutes.

Step-by-step explanation:

Answer:

The correct answer is the one on the bottom. The other answers shown are all wrong. The correct answer is J

Step-by-step explanation:

First off, you have to figure out what's the unit rate, so we come across two points, in this case, I came up with the orgin and (10, 2). We did the rise over the run, which gave us a unit rate of 5 of y for every x. In this case, the correct answer would be H. Even though I can't see what H is, every single other one is correct, so we have to come to the conclusion that H is the correct choice for the one that's wrong.

F matches with the unit rate since 2/10 is also equaled to 0.2/1 since it's 0.2 per piece, so the piece is the x and the 0.2 is the y.

G matches with the unit rate because it's 6 workers per 30 children. 6/30 matches with 2/10.

H matches with the unit rate since it's 9 pages per 45 minutes, making the equation 9/45, which indeed, does match 2/10.

J doesn't match with the unit rate since 10 dollars per 2 hours implies that the equation is 10/2, which gives you the unit rate of 5/1 or 5, which is the reciprocal of 1/5.

Answer:

  J.  Richie earns $10 every 2 hours to pet sit for his neighbor

Step-by-step explanation:

You want to identify the situation with the different unit rate.

For proportional relations, such as the ones given in this problem, the unit rate is calculated by dividing a value for the dependent variable by the corresponding value for the independent variable. When the coordinates are expressed as an ordered pair (x, y), the unit rate is y/x.

The graph passes through a couple of grid intersections. One of them has coordinates (10, 2). The unit rate is 2/10 = 0.2.

The unit rate is the rate for 1 unit: $0.20 for 1 piece. The numerical value of the unit rate is 0.20, same as the graph.

The given relation between children and workers is (children, workers) = (30, 6). The unit rate is 6/30 = 0.2, same as the graph.

The relation between minutes and pages is (minutes, page) = (45, 9). The unit rate is 9/45 = 0.2, same as the graph.

The relation between hours and earnings is (hours, earnings) = (2, 10). The unit rate is 10/2 = 5, different from the graph.

The different unit rate is ...

 J.  Richie earns $10 every 2 hours to pet sit for his neighbor

__

Additional comment

Calculating the unit rate as y/x only works when the relation is a proportional one. All of the situations here have proportional relations.

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Answer:

The correct answer is B.

Step-by-step explanation:

First off, if you don't already know what's the vertical line test, you're guaranteed to get this question wrong.

The vertical line test is a visual way to figure out if the function is a function. You just draw a line anywhere on the paper, and see if it intersects on one point or more than one point. If it intersects at only one point, it's a function because at the end of the day, you can have only one output for each input.

Think of this as an actual function. For example, if you go to a vending machine, and you put a dollar in for a single bag of chips, the next time you put a dollar in, you should get only one bag of chips, or else the machine is broken. It won't function.

In this case, it's a function since each input has its own output, or it passes the vertical line test, it's good to go. It's not a linear function since it's not straight, but hey, it at least is a function.

Answer:

Look at Explaination

Step-by-step explanation:

Im very busy rn so i cant provide an answer, but I can easily explain mean median and mode. Mean is all the numbers added up divided by the amount of numbers there are.

Ex: 1,2,3,4,5 is the number list so you add 1,2,3,4, and 5. Then you divide that sum by 5 because there is 5 numbers there.

Median is simply just the middle of the list, for ex 1,2,3,4,5 3 is the median, but if it is 1,2,3,4,5,6 then you would make it 3.5.

Mode is the most repeated number in the list

Ex: 1,1,2,3,4,5,5,5,6,7

The Mode in the list is 5, since it is repeated 5 times. If none repeated then it is N/A if it is tied then put both numbers.

You have to use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), and solve in that order. Your question is:

2 + 32 ⋅ (3 − 1)

First, solve the Parentheses part of the question. 3-1 is 2. Your question is now:

2+32*2

Now, solve the multiplication part of the question. 32*2 is 64. Your question is now:

2+64

This is now an easy problem to solve.

The answer is 66.

Hope this helps! :)

Answer:

0.003

Step-by-step explanation:

0.3 ÷ 100

= 0.003

Answer:

0.003

Step-by-step explanation:

0.3/100

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Answer:

5 ft

Step-by-step explanation:

In order to find the missing side length, we need to take a look at what has been given to us.

From what I see, this shape looks like two rectangles connect at their ends.

What do we know about rectangles?

-Rectangles have 2 sets of sides that are equal length, totaling 4 sides.

So, let's say we know the length of the longest side of the tallest rectangle.

-That side length is 15ft.

Now, we know that the opposite side of that imaginary rectangle has to be of equal length of 15ft. But, only 10 ft are show...

Since we know that there are more than 10 ft we must subtract 10 ft from the 15 ft to get the side length marked as "?", or what should have been left at that side.

15ft - 10ft = 5ft

Answer: 1/2

Step-by-step explanation:

1,2,7 out of 6   3/6=1/2

Answer:

2/6

Step-by-step explanation:

1 and 2 are factors of 14 while the rest are not so that is 2 and there are 6 total sides so it would be 2/6

Answer:

5.6 : 2.4

Step-by-step explanation:

Step-by-step explanation:

1. we can find the slope of the line using this formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y2, y1, x2, x1 are constants from the two coordinates given, so we just plug them into the formula

[tex]\frac{-13-19}{-1-3}[/tex]

now we evaluate on both ends of the fraction

[tex]\frac{-32}{-4}[/tex]

simplify

[tex]8[/tex]

the slope is 8

2. we are given a graph which means we can simply count the slope

the slope means:

[tex]\frac{rise}{run}[/tex]

which is the change in y over the change in x , this means that we can start at a coordinate and count the slope

using this method, we get a slope of 2

3. the slope is the change in y over the change in x. the y values are decreasing by -8 while the x values are increasing by ones

this means our slope is

[tex]\frac{-8}{1}=-8[/tex]

4. we just have to use the aforementioned slope formula above

[tex]\frac{8-(-10)}{0-9}[/tex]

evaluate

[tex]\frac{18}{-9}[/tex]

simplify

[tex]-2[/tex]

the slope is -2

Answer:

Step-by-step explanation

10 raised to the of 7

=10*10*10*10*10*10*10

=10000000

= 2*10000000

=20000000

10 raised to the power of 6

10*10*10*10*10*10

=1000000

=2*1000000

=2000000

S0, 1st year 1st theme park

=20000000

and 2nd year 2nd theme park

=20000000

Comparision of 20000000 and 2000000

SO, the correct answer is option h The first theme park had 10 times as many guests the the first.

Answer:

X × (100-25)

Step-by-step explanation:

Lets take X and then multiply it by its discount, 25% which is (100-25). Your final product will be what you bought divided by 25%.

Hope that helped. Try it with your teacher, might be wrong...

Answer:

1.76

Step-by-step explanation:

Using the PEMDAS order of operations, we get:

0.2 x (5 - 0.7) + 1.8 / 2

= 0.2 x 4.3 + 0.9

= 0.86 + 0.9

= 1.76

So the answer is 1.76

Hope this helps!

I'm Just Guessing At The Possible Answers. Please post a picture of the drop-down answers...

1. Between 3 and 8

2. Well Distrubuted???

3. One Outlier (19.86)

Answer: 258 cubic inches

Answer:

258 cubic inches

hope you like it : )

Answer:

4.64m²

Step-by-step explanation:

Given,

H(known as height) = 3.2m

B(known as base) = 2.9m

In order to find the area we apply the formula

Area of a triangle = [tex]\frac{1}{2}bh[/tex]

                              = [tex]\frac{1}{2} X 2.9 X 3.2\\\frac{1}{2} X 9.28\\4.64m^{2}[/tex]

Answer:

4.64 meters squared

Answer:

The diameter of the cone is 2[tex]\sqrt{6}[/tex] or [tex]\sqrt{24}[/tex]

Step-by-step explanation:

The volume of the cone formula is 1/3hπr².

We already are given the volume and the height, so we can plug those in.

Our formula to find the radius is this: 20π=1/3(10)πr².

Since we have π on both sides, cancel the π on both sides.

We are left with 20=1/3(10)r².

We move 1/3 to the other side, so then we get 60=10r².

We then divide 10 on both sides, so we get 6=r².

Square root both sides to find out the radius.

The result we get is [tex]\sqrt{6}[/tex]=r.

But, we're not done yet.

Diameter=double the radius.

Multiply this radius by 2, and we'll get 2[tex]\sqrt{6}[/tex], or [tex]\sqrt{24}[/tex].

Answer:

Triangle NMO has vertices N(-4,-2), M(-1,-1), and O(-4,-5). To translate the triangle 7 units to the left, we subtract 7 from the x-coordinate of each vertex. This gives us:

N' = (-4 - 7, -2) = ( -11, -2)

M' = (-1 - 7, -1) = (-8, -1)

O' = (-4 - 7, -5) = (-11, -5)

So the image coordinates of N'M'O' are N'(-11, -2), M'(-8, -1), and O'(-11, -5). Therefore, the answer is D. N′(−11, −2), M′(−8, −1), O′ (−11, −5).

Answer:

Step-by-step explanation:

107 is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

5x(x - 4) = 10   X = 6

18 + x = 20      X = 2

18= x X 10 - 22  X = 4

Step-by-step explanation.

Answer:

1. X= 6

2. X= 4

3. X= 2

Step-by-step explanation:

Answer:

D)4 i think because it is the one landed on the most.

Answer:

[tex]m = \frac{725 - 400}{50 - 25} = \frac{325}{25} = 13[/tex]

So the correct answer is J. c = 13p + 75

Answer:

(A) P(5 on die) = 1/6, P(7 on spinner) = 1/8

(1/6)(1/8) = 1/48

(B) P(less than 3 on die) = 2/6 = 1/3

P(greater than 5 on spinner) = 3/8

(1/3)(3/8) = 1/8