Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.

a) Find the length of the side of each case


b) Is the length of the table enough for the 3 cases? Explain


c) Is the width of the table enough for the 3 cases? Explain

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

Answer:

You cant have a negative square root

Explanation:

The answers will always be positive or a perfect square

Hope this Helps

Answer:

if 3 children go to the water park, 4 adults can go: TRUE

if 6 children go to the water park 3 adjults can go: FALSE

no adults, 6 children: TRUE (even 9 children can go)

no children, 6 adults: TRUE

10x is indeed the cost of the children

15y is indeed the cost of the adults

Explanation:

We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.

So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.

Answer:

The answer is 83°

Step-by-step explanation:

by the sum of iner and outer angle=180°

180-126= 54°

x=180-43+54

x=180-97

x=83°

hope that helped.?<3

the area of the rectangle is 0.1 square meter

Answer:

38

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

Answer:

75 cents

Step-by-step explanation:

We can use a ratio to solve

8 lemons      1 lemon

------------- = ------------

6 dollars        x dollars

Using cross products

8x = 6*1

8x = 6

Divide by 8

8x/8 = 6/8

x = .75

One lemon costs .75

__________

[tex] \: [/tex]

6x - 9 = 5x + 10

6x - 5x = 10 + 9

x = 19✔

Answer:

20

Step-by-step explanation:

63 - 43 = 20

Answer:

20 students

Step-by-step explanation:

because 43+s=63

63-43=20

s=20

so it have 20 students on the playground

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

Answer:

2q-1

Step-by-step explanation:

Add:

Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.

Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q

5/4q-1/4q is q

q+q is 2q

Now do the same thing with the numbers that doesn't have variables

1-4+2=-1

So the answer is 2q-1

Hope this helps!

Answer:

2q -1

Step-by-step explanation:

(5/4q + 1) + (q - 4) + (-1/4q + 2)

5/4q + 1 + q - 4 - 1/4q + 2

5/4q + q - 1/4q + 1 - 4 + 2

2q -1

Answer:

6.5

Step-by-step explanation:

5.98÷0.92= 6.5m

Answer: how to stop deppreshon

Step-by-step explanation: The mainstay of treatment is usually medication, talk therapy, or a combination of the two. Increasingly, research suggests these treatments may normalize brain changes associated with depression.

Answer:

1 9/16

Step-by-step explanation:

F(1/4) means u plug in 1/4 for x

so the equation would be

f(1/4)=1/4^2+2 1/4 + 1

f(1/4)=1/16+1/2+1

f(1/4)= 9/16 +1

f(1/4)= 1 9/16

its not nine teen its one and 9 over 16 just clarification

Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

Answer/Step-by-step explanation:

To find the absolute difference, we simply have to see by how much pounds the estimation was off.

The real measure was 152 pounds, the estimated weight was 150.

D = 152- 150 = 2 pounds.

For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error.  So,

%D = 52 / 152 = 0.0034, so 0.34%  

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

Answer:

15 cups

Step-by-step explanation:

2:3

10:?

2x5:3x5

10:15

Answer:

[tex]m=-\frac{1}{26}[/tex]

Step-by-step explanation:

Formula:

----------------------------------------------------------------------------------------------------------------

Work:

[tex]m=\frac{-15-(-16)}{-7-19}\\\\m=-\frac{1}{26}[/tex]

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

Answer:

3.3

Step-by-step explanation:

1/4*3 = 3/12 (find lcd lowest common factor )

5/6 *2 10/12 figure out how many time 3 goes into 10 about 3.3 repeating

Answer:       [tex]\right] \left[\begin{array}{ccc}0.3 cups\\\end{array}\right] \\[/tex]

Step 1: Write the problem as a mathematical expression.

1/4 and 5/6

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

0.3 cups

Definitions:

A. Fraction- A number used to name a part of a group or a whole. The number below the division line is the denominator, and the number above the division line is the numerator.

B. Expression- A mathematical symbol, or combination of symbols, representing a value, or relation.

Have a great day!

Answer:

i do not know what it all says

Step-by-step explanation:

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

Answer:

16

Step-by-step explanation:

N equals 12, so

4 + 12 = 16

Answer:

4 + n = 16

Step-by-step explanation:

n = 12 so 4 + 12 is 16

Answer:

2n + 9 = 23

Step-by-step explanation:

let the number be n then double the number is 2n and adding 9 gives

2n + 9 ( the result is 23 ) , so

2n + 9 = 23 ← is the equation modelling the statement

Answer:

because, it will completely change the slope

Step-by-step explanation:

It does not matter which point you choose when writing the

equation of the line in point-slope form because the slope of the line remains same.

A slope can be thought of as rate of change of y axis with respect to x axis.

We have been asked in this statement that why it doesn't matter that which point we choose when writing the equation in point slope form.

Let us understand this with an example,Suppose we have two pair of points. (x₁,y₁) = (2,3) and (x₂,y₂) = (5,9).

We know slope(m) is = (y₂-y₁)/(x₂-x₁).

Slope(m₁) = (9-3)/(5-2)

               = 6/3

               = 2.

Now if interchange the points  (x₁,y₁) =  (5,9) and  (x₂,y₂) =  (2,3).

Slope(m₂) = (3-9)/(2-5)

                = -6/-3

                = 2.

So, even when interchanging the points the slope m₁ = m₂ this is the reason why it doesn't matter which point we choose.

learn more about slope here :

https://brainly.com/question/837699

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{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.

{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.

{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.

{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.

For a relation to be a function, every x value must have only one y value.

Given angles are supplementary.

[tex]\\ \sf\longmapsto 2x-22+5x-8=180[/tex]

[tex]\\ \sf\longmapsto 7x-30=180[/tex]

[tex]\\ \sf\longmapsto 7x=180+30=210[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{210}{7}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]