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marusya05 [52]
3 years ago
14

Show that the system has no solution. x + 2y = -4 y = -1/2x - 4

Mathematics
1 answer:
erica [24]3 years ago
7 0

Step-by-step explanation:

TO show that this system has no solution, use the y value in the second equation and put it in for y in the first. Then solve.

x + 2y = -4

x + 2(-1/2x - 4) = -4

x  - x - 8 = -4

-8 = -4

Because this is an incorrect statement, we can tell there is no solution.

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Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?
marin [14]

Answer:

\boxed {\tt 5 \ oranges}

Step-by-step explanation:

Let's set up a proportion.

\frac{oranges}{minutes} =\frac{oranges}{minutes}

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}

\frac{125 \ }{300 \ }=\frac{x \ }{12 }

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12

12*\frac{125 \ }{300 \ }=x

12*0.416666667=x

5=x

Rob can peel 5 oranges in 12 minutes.

6 0
3 years ago
Read 2 more answers
Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk.
Snezhnost [94]

Answer:

20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Step-by-step explanation:

We are given the following in the question:

Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.

Thus, we can write the equation:

6\%\times x + 3\%\times y = 4\%\times 60\\6x + 3y = 240

Total amount of 3% butterfat milk = 60

Thus, we can write the equation:

x+y = 60

Solving the two equation, we get,

6x + 3y-(3x+3y) = 240 - 3(60)\\3x = 240-180\\3x = 60\\x = 20\\y = 60-20 = 40

Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

3 0
2 years ago
if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
likoan [24]

Answer:

40

Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

y=40

or in an easier way

-138/-6 =23

23+17=40

simply reversing the question to get the answer

7 0
2 years ago
The graph below can be used to solve which equation? 1x + 2– 5= -(x - 1)(x - 3) 8 5 x + 2 - 5 = (1 - 1)(x - 3) 3 2 1 2-21-5= -(2
o-na [289]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
Which mathematical property is demonstrated?
RSB [31]

Answer:

The commutative property states that you can rearrange the order of the numbers and get the same result. The commutative property states that you can rearrange the order of the numbers and get the same result. The addition properties are the exact same, but replace multiply with add. Your answer is D.

Step-by-step explanation:

All the problem is doing is switching the numbers to different sides of the equation. You will still get the same answer.

5 0
3 years ago
Read 2 more answers
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