The two right triangular prisms are similar solids.The scale factor of the larger prism to the smaller prism
is 3/2. How do the volumes compare?

Answer:

A) Mean

Step-by-step explanation:

The mean of a data set is one of the ways to calculate the center of tendency, center of data, or the "average".

Example of a set of data: 4, 2, 1, 6

Mean = sum of data / number of data

= (4 + 2 + 1 + 6) / 4

= 13 / 4

= 3.25

Other incorrect answers:

Range - this shows the difference between highest and lowest values in a data set.

Using our example:

highest = 6; lowest = 1

Range = highest - lowest

= 6 - 1

= 5

Median - this shows the "middle" of data if you lined them up from least to greatest, and found the number in the middle.

Using our example:

4, 2, 1, 6

1, 2, 4, 6           Reorder from least to greatest

1, 2, 4, 6           Focus on the middle

(2 + 4)/2 = 3      Find the mean of the two middle numbers

Median = 3

Outlier - this names a piece of data that is far off from what the rest of the numbers are

In our example, we have no outliers.

However, if the data was 4, 2, 1, 6, 20

Then the outlier would be 20.

Answer:

10y

Step-by-step explanation:

Answer: the answer would be 10y

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

[tex]x+y=53[/tex] -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

[tex]y=3x-15[/tex] ----> equation B

substitute equation B in equation A

[tex]x+(3x-15)=53[/tex]

solve for x

[tex]x+3x=53+15\\4x=68\\x=17[/tex]

Find the value of y

[tex]y=3(17)-15=36[/tex]

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Final answer:

To solve the problem, we set up an equation where x represents the number of 7th graders and solved it to find that there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Explanation:

The problem states that there are 53 students in total on the Jackson Middle School basketball teams, with the number of 8th graders being 15 fewer than three times the number of 7th graders. Let's denote the number of 7th graders as x. Thus, the number of 8th graders is 3x - 15. The total number of students on the basketball teams is the sum of the 7th and 8th graders, which can be represented by the equation x + (3x - 15) = 53.

Solving the equation:
4x - 15 = 53
4x = 68
x = 17 (number of 7th graders)
3x - 15 = 3(17) - 15 = 51 - 15 = 36 (number of 8th graders)
So, there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.

Given:

The given function is

[tex]y = 200(1.06)^x[/tex]

To find whether the function is growth or decay and the growth of decay.

Formula:

The function [tex]a(1+r )^x[/tex] is said to be an exponential growth, if the value of a > 0 and r > 0

Again, the function [tex]a(1-r )^x[/tex] is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.

Now,

[tex]y = 200(1.06)^x[/tex]

[tex]y = 200(1+0.06)^x[/tex]

Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.

Therefore,

The given function is an exponential growth function.

Step-by-step explanation:

Can you post the picture of the question or add more details?

Answer:

7 + 9i

Step-by-step explanation:

Given

(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis

= 3 + 7i + 4 + 2i ← collect like terms

= 7 + 9i

Answer:

7+9i

Step-by-step explanation:

Final answer:

To find three ratios equivalent to 3:12, we simplify the ratio to 1:4 and then scale it up. The three equivalent ratios are 2:8, 3:12 (the original ratio), and 4:16.

Explanation:

To find three ratios equivalent to the ratio 3:12, we need to simplify or scale the given ratio up or down. Given that 3:12 simplifies to 1:4 (by dividing both numbers by their greatest common divisor, which is 3), any multiple of this simplified ratio will also be equivalent to 3:12.

These three equivalent ratios show the concept of scaling a ratio up while maintaining the proportional relationship between the two quantities.

Just substitute r with 357 and solve.

= 1/7(357) + 3(1/7(357))

= 51 + 3(51)

= 51 + 153

= 204

Therefore, Eliza read 204 in those 3 days.

Best of Luck!

Answer:

Part A: 204 pages

Step-by-step explanation:

Eliza reads of her book on Monday by [tex]\frac{r}{7}[/tex] pages, where r is the total number of pages in the book.

On Tuesday and Wednesday combined,  she reads three times as much as she reads on Monday i.e. [tex]\frac{r}{7} * 3 = \frac{3r}{7}[/tex] pages.

So, combining Monday, Tuesday and Wednesday she reads [tex]( \frac{r}{7} + \frac{3r}{7} ) = \frac{4r}{7}[/tex] number of pages.

Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads [tex]\frac{4*357}{7} = 204[/tex] pages.

please give me brainliest

Answer:

$56

Step-by-step explanation:

$40+$16(that is, 8+8)=56 and 50+6=56

Answer:

2 miles per day

Step-by-step explanation:

The length of the road built is 1/3 miles, so let's call L = 1/3

The time spent to build this length is 1/6 days, so let's call D = 1/6

To find the unit rate in miles per day, that is, the speed that this length of the road was built, we just need to divide L by D (speed is distance over time). Let's call the speed S:

S = D/T

S = (1/3) / (1/6)

S = (1/3) * 6

S = 2 miles per day

The unit rate, which is the rate of distance built per day, is 2 miles per day. Calculated by dividing the total distance by the total time, multiplying 1/3 by the reciprocal of 1/6.

This question involves the concept of unit rates. A unit rate tells us how one quantity relates to one unit of another quantity. In this case, we are asked to find the number of miles of road that can be built in one day (the unit rate).

To find the unit rate, we need to divide the total distance (1/3 miles) by the total time (1/6 days). When we divide fractions, we multiply the first fraction by the reciprocal of the second.

So, the calculation should be (1/3) ÷ (1/6) = (1/3) * (6/1) = 2.

So, the construction crew can build 2 miles of road in one day.

https://brainly.com/question/22607023

#SPJ3

Answer:

Step-by-step explanation:

15

Answer:

the answer is the first one

Step-by-step explanation:

the easiest way is to look at the constant. negitive three multiplies with 2 to get -6. Then it is multiplied with 2 again to get -12. Then add 10 to get -2.

Answer:

2A/h = b

Step-by-step explanation:

A = 1/2bh​

Multiply each side by 2

2A = 2*1/2bh​

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

Answer:

B = 2[tex]\frac{A}{H}[/tex]

Step-by-step explanation:

A = 1/2 BH

Divide by H on both sides.

To get: A/H = 1/2B

Multiply 2 on both sides.

To get 2[tex]\frac{A}{H}[/tex]= B

D. Equivalent Fractions

Answer:

D: equivalent fractions

Step-by-step explanation:

hope this helped :)\

stay safe

brainliest is appreciated

Answer:

You can represent most things with a partial fraction, anything in the form:

[tex]\frac{f(x)}{(x+\alpha )(x-\beta )}=\frac{A}{(x+\alpha )}+\frac{B}{(x- \beta )}[/tex]

Notice how the roots of the equation from the denominator on the left hand side are used to form the denominations of fractions on the right hand side.

We can now multiply both sides by the denominator on the left hand side.

[tex]f(x)=A(x-\beta )+B(x+ \alpha )[/tex]

We can now setup 2 simultaneous equations by substituting [tex]x[/tex] for your values of [tex]-(- \beta )[/tex] and [tex]-\alpha[/tex] to make [tex]A[/tex] or [tex]B[/tex] 0, allowing you to find the other [tex]A[/tex] or [tex]B[/tex] value.

[tex]f(-\alpha ) = A(-\alpha - \beta) + 0\\f(\beta ) = 0 + B(\beta + \alpha )[/tex]

Answer:add 3+5+7

Step-by-step explanation:

3×5×7×4=420

Answer: 420 outfits

Answer:

L X W=338

Step-by-step explanation:

divid by W so you get L= 338/W

Answer:

a) ([tex]\sqrt[n]{x}[/tex]) the n will be 5 the x will be (-32/243)^2.

b) written the same as a. except the c will replace the n and x will be (2y)^b.

c) the answer will be 0.4^3.

d) the answer would be (st)^v/u.

Hope this helps!

Brainliest?

Answer:

400 yellow 600 blue 1000 pink

Step-by-step explanation:

30 yellow balls, 45 blue balls, and 75 pink balls

initial sample = ratio of 2:3:5

Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink

2+3 + 5 = 10            1) We add up the ratio

2000/10 = 200       2)We apply the ratio total to shipment total

                                   and divide.

2 x 200 = 400        3)We multiply by 200

3 x 200 =600

5 x 200 = 1000

Simple as that.

Answer:

The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:

P(yellow) =30/150 = 20%

P(blue) =  45/150= 30%

P(pink) =75/150 = 50%

If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.

PLATO ANSWER

Answer:

15 inches^2

Step-by-step explanation:

The area of a triangle can be found using:

a=1/2 bh

We know the base (b) is 6, and the height (h) is 5, so we can substitute them in

a= 1/2 (6)(5)

a=1/2 (30)

a=15

The area is 15 inches^2

Answer:

1 foot and a half lol

Step-by-step explanation:

step

by

step

The objects which are more than 1 foot but less than 2 feet are of the measurements 1.1 feet, 1.2 feet, 1.25 feet, and so on.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given that,

We have to find the object which has the length of more than 1 foot but less than 2 feet.

Those objects will be having the measurements in between 1 foot and 2 feet.

1 foot is approximately 30.5 cm.

So, the object will be having the length of 30.5 cm to 61 cm.

Hence the required objects will be having the length in between 30.5 cm to 61 cm.

Learn more about Measurements here :

https://brainly.com/question/17118357

#SPJ2

Answer: Fewer

Step-by-step explanation:

Answer:

fewer

Step-by-step explanation:

as you can see in the graph august was at peak of its potential and from there it was going down hill so September came and December so fewer people started attending the public pool.

Answer:

s= 11.3 units

Step-by-step explanation:

[tex]s= \frac{ \frac{3\pi}{5} }{2\pi} \times 2\pi \: r \\ \\ s = \frac{{3\pi}}{5 \times 2\pi} \times 2\pi \: \times 6\\ \\ s= \frac{{3}}{5} \times \pi \: \times 6 \\ \\ s= \frac{{18}}{5} \times 3.14 \\ \\ s= \frac{{56.52}}{5} \\ s= 11.304 \: units \\ \huge \red {\boxed{s= 11.3 \: units}}[/tex]

Answer:

24x + 64y = 384

The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) and cans of vegetables (y) processed at different rates. We can check the equation by plugging in values of x and y.

The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) processed at a rate of 24 cans per minute and the number of cans of vegetables (y) processed at a rate of 64 cans per minute. The left side of the equation represents the total number of cans processed, and the right side represents the total number of cans in the order, which is 384. We can check this equation by plugging in the values of x and y to ensure that it satisfies the condition of the order. For example, if we plug in x = 4 and y = 3, we get 24(4) + 64(3) = 384, which is true.

For more about Linear Equations:

https://brainly.com/question/32634451

#SPJ3

Answer:8 ft

Step-by-step explanation:base is equal to 8ft and the area is 64ft so

Area of parallelograms =base×height

64=8×height

64÷8=HEIGHT

8

Answer:

Your real answer is

16

10

160

Answer:

4/5

Step-by-step explanation:

M=rise/run

Answer:

30 dolls

Step-by-step explanation:

First, divide 100 by the percentage, which is 20, to get the number you need to multiply 6 by. 100/20 = 5. Then, multiply 6 by that number. 6*5 = 30. So, the total number of dolls in Anitas collection is 30.

To check, find 20% of 30 (and make sure it equals 6). To do so, convert 20% to a decimal, which is 0.2. 0.2*30 = 6. So, you have the correct answer.

Answer:

Anita has 30 dolls

Step-by-step explanation:

Let the number of dolls with Anita be x

20% of x = 6

[tex]\frac{20}{100}*x=6\\\\\frac{1}{5}*x=6\\\\x=6*\frac{5}{1}\\\\x=30[/tex]

Anita has 30 dolls

Answer: 2x^3 + 2x

Step-by-step explanation:

[tex](x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)\\\\x^4+x^3+x^2+x-x^4+x^3-x^2+x\\\\2x^3+2x[/tex]

Answer:

90° rotation around (0,0)

Answer:

90 rotation around (0, 0)

Step-by-step explanation: