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fomenos
3 years ago
13

You make 10 cups of pudding and pour it into 6 containers how many cups of pudding are in each container

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
1.67 cups.
10 divided by 6, then round.
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I need help 6x-2y=10 x-2y=-5 solve by elimination
dem82 [27]
<h3><u>Explanation</u></h3>
  • Given the system of equations.

\begin{cases} 6x - 2y = 10 \\ x - 2y =  - 5 \end{cases}

  • Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

\begin{cases} 6x - 2y = 10 \\  - x  +  2y =  5 \end{cases}

There as we can get rid of the y-term by adding both equations.

(6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x =  \frac{15}{5}  \longrightarrow  \frac{ \cancel{15}}{ \cancel{5}}  =  \frac{3}{1}  \\ x = 3

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

x - 2y =  - 5 \\ 3 - 2y =  - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\  \frac{8}{2}  = y \\ y =  \frac{8}{2} \longrightarrow  \frac{ \cancel{8}}{ \cancel{2}}  =  \frac{4}{1}  \\ y = 4

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

  • Answer Check by substituting both x and y values in both equations.

<u>First</u><u> </u><u>Equation</u>

6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10  = 10 \longrightarrow \sf{true} \:  \green{ \checkmark}

<u>Second</u><u> </u><u>Equation</u>

x - 2y =  - 5 \\ 3 - 2(4) =  - 5 \\ 3 - 8 =  - 5 \\  - 5 =  - 5 \longrightarrow  \sf{true} \:  \green{ \checkmark}

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

<h3><u>Answer</u></h3>

\begin{cases} x = 3 \\ y = 4 \end{cases} \\  \sf \underline{Coordinate \:  \: Form} \\ (3,4)

8 0
3 years ago
Please help!!!!!!!!!!!!!!!!!
nadya68 [22]

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

3 0
3 years ago
4. Suppose 11 out of 17 students said they were attending the football game. How many students out of 875 would you expect to at
SCORPION-xisa [38]

We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

6 0
3 years ago
Grade 8 Math
zavuch27 [327]
Question #1 = <span>the amount of snow that falls each hour
question #2 = the starting amount of snow
algebra sucks, keep up the good work

</span>
5 0
3 years ago
Read 2 more answers
At the fast food restaurant, an order of fries costs $1.05 and a drink costs $1.07. How much would it cost to get 3 orders of fr
trasher [3.6K]

Answer:

$7.43

Step-by-step explanation:

f (fries) = 1.01

d (drinks) = 1.07

1.05f + 1.07d = ?

To solve this problem, you need to replace the variable with the amount of each item.

1.05(3) + 1.07(4) = ?

Now we can solve by multiplying and adding:

3.15 + 4.28 = ?

<u>7.43</u>

5 0
2 years ago
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