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VikaD [51]
3 years ago
10

I need help with number 8,please.

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0
Let x be equal to the number of drinks Yasmine consumed. 
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.  
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
koban [17]3 years ago
4 0
Hi!

Okay, so let's break this down.

Jose drinks twice as many sodas as Yasmine. 
So we know, that..
2j = y

Sally drinks 3 fewer sodas than Jose.
j - 3 = s

The total number of sodas that they consumed is 72.
j + y + s = 72

Now let's try to put in some values. 

Since s = j - 3..
j + y + j - 3 = 72

Simplify..
2j + y - 3 = 72
2j + y = 75

Since y = 2j...
2j + 2j = 75

Simplify..
4j = 75
j = 18.75

Now check our solution. 
18.75 · 2 = s
37.5 = s

18.75 - 3 = y
15.75 = y

18.75 + 15.75 + 37.5 = 72
^the answer

Hope this helps! :)
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A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
Allisa [31]

By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

  • T = amount of water in the tank.
  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

T + 250ml = 12*(P - 250ml)

Then the system of equations is:

P + T = 962 ml

T + 250ml = 12*(P - 250ml)

To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

1,212 ml - P = 12*P - 3,000 ml

1,212  ml + 3,000 ml = 12*P - P

(4,212 ml)/11 = P = 382.9 ml

So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
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Vernon tossed a coin 20 times. The results were 8 head s and 12 tails. What is the experimental probability of tossing heads?
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Answer:

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Step-by-step explanation:

The experimental probability is

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larisa86 [58]

Answer:

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Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

4 0
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ANEK [815]

Answer:

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Step-by-step explanation:

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Hope this helps :)

3 0
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