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Charra [1.4K]
3 years ago
8

These guys are here to tax with your mind! What’s the answer to the final equation ?

Mathematics
2 answers:
viva [34]3 years ago
8 0

The <em><u>correct answer</u></em> is:

13

Explanation:

The figure in purple must equal 4. This is because the number is multiplied by itself and equals 16; the only positive number that can be squared and equal 16 is 4.

This makes the vampire equal to 3. This is because 4 multiplied by the vampire and again by the vampire is 36; this means the vampire multiplied by itself must be 9. This makes the vampire equal to 3.

The mummy must be equal to 6. This is because the purple figure multiplied by the vampire multiplied by ;the mummy is 72; this means 4*3*(mummy) is 72; 12(mummy) = 72; the mummy must be 6.

This makes the last sentence 4+3+6= 13.

Dominik [7]3 years ago
7 0
The answer is 13 
Hope this helps!! :)
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Comparing Leaking Pool Problem
Blababa [14]

Answer:

<em>Pool 1 leaks faster than pool 2.</em>

Step-by-step explanation:

<u>Rates of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

We are given two rates of change for two pools that are leaking. The first one loses 2/3 gallon in 15 minutes, and the other loses 3/4 gallon in 20 minutes.

To compare them, we are required to express time in hours. Recall one hour has 60 minutes, or equivalently, one minute has 1/60 hours. Converting both times, we have:

15 minutes = 15/60 = 1/4 hours

20 minutes = 20/60 = 1/3 hours

Now compute both rates of change:

Pool 1:

\displaystyle ROC_1=\frac{2/3}{1/4}=\frac{8}{3}\approx 2.67\ gal/h

Pool 2:

\displaystyle ROC_2=\frac{3/4}{1/3}=\frac{9}{4}= 2.25\ gal/h

Comparing both ratios, it's clear pool 1 leaks faster than pool 2.

8 0
3 years ago
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amo
Vika [28.1K]

The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M = (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L = (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L = M + S .

Substituting the value of L and S , we get

(5/2)S = (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

Learn more about Equation here

brainly.com/question/17026235

#SPJ1

4 0
1 year ago
1. In the number 3687.54 20, what digit is in the hundredths place?
matrenka [14]

The four is in the hundredths place.

Right one to the decimal goes: tenths, hundredths, thousands, etc.

5 0
3 years ago
In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and
timofeeve [1]

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend.  You expect to purchase at least 3 pounds of hamburgers.  

  • Write a system of inequalities to represent this situation.
  • Graph the system of inequalities on the grid.
  • Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

Answer:

A) System of inequalities:

  • 2x + 3y ≤ 30
  • x ≥ 3
  • x ≥ 0
  • y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

  • 3 pounds of hamburgers and 8 pounds of chicken
  • 3 pounds of hamburgers and 0 pounds of chicken
  • 15 pounds of hamburgers and 0 pounds of chicken

Explanation:

<u>A) Write the system of inequalities to represent this situaction.</u>

<u>1. Variables:</u>

  • x: number of pound of hamburgers
  • y: number of pound of chicken

<u>2. Costs:</u>

  • x pounds of hamburgers at $2 per pound: 2x
  • y: pounds of chicken at $3 per pound: 3y

  • total cost: 2x + 3y

<u>3. First constraint:</u>

  • You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.

  • 2x + 3y ≤ 30

<u>4. Second constraint:</u>

  • You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.

  • x ≥ 3

<u>5. Additional constraints:</u>

  • Both, x and y cannot be negative: x, y ≥ 0

<u>6. System of equations:</u>

  • 2x + 3y ≤ 30
  • x ≥ 3
  • x ≥ 0
  • y ≥ 0

<u>B) Graph </u>

You have to graph all the constraints in a x-y coordinate system.

<u>1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30</u>

  • Choose the y-intercept and x-intercept.
  • x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)
  • y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)
  • With two points you can draw the line
  • Clear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

<u>2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).</u>

<u>3. The constraints x ≥ 0 and y ≥ 0 </u>mean that the region is restricted to the first quadrant (including the positive axis).

<u>4. The feasible solutions</u> are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

<u>C) Give 3 possible combinations.</u>

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

  • (3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken
  • (3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken
  • (15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

  • 5 ≥ 0
  • 5 ≥ 3
  • 4 ≥ 0
  • 2(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

7 0
3 years ago
Help me please i don't know what this is ​
sesenic [268]

Answer:

15/4

Step-by-step explanation:

5 = 5/1

Then you just multiply across, 5*3=15 and 1*4=4 so you get 15/4.

7 0
3 years ago
Read 2 more answers
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