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Nonamiya [84]
3 years ago
14

A new machine can make 10,000 aluminum cans three times faster than an older machine. with both machines working, 10,000 cans ca

n be made in 9 hours. how long would it take the new machine, working alone, to make the 10,000 cans?
Mathematics
1 answer:
Semmy [17]3 years ago
5 0
It takes at least 12 hours for the newer machine to make 10,000 cans
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Solve for X and Y: <br> Y=2+7x and -2x+6y=-28
Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

  • y=2+7x....... equation (1)
  • -2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

- 2x + 6(2 + 7x) =  - 28 \\

simplify it

- 2x + 12 + 42x =  - 28 \\ 40x + 12 =  - 28

subtract 12 from both sides

40x + 12 - 12 =  - 28 - 12 \\ 40x =  - 40

divide both sides by 40

\frac{40x}{40}  =  \frac{ - 40}{40} \\ x =  - 1

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y =  - 5

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0
1 year ago
103,727,495 in a word form
3241004551 [841]
103,727,495 in word form is: one hundred three million, seven hundred twenty-seven thousand, four hundred ninety-five.
3 0
3 years ago
Use substitution to solve the system.<br><br> X= ?<br> Y= ?<br><br> 5x+4y = -10<br> x = 3y+17
nikklg [1K]

Answer:

x=3.4

y=-6.75

Step-by-step explanation:

5x+4y=-10  (equation 1 )

-5x+3y=-17  (equation 2)

7y=-27

y=-6.75

substitution (equation 1 ) y=-6.75

5x-27=-10

5x=17

x=3.4

4 0
3 years ago
a system of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?
deff fn [24]
<span>A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.
2y - 4x = 6
2y = 4x + 6
2y = 2(2x + 3)
y = 2x + 3
-y = -(2x + 3)
-y = -2x - 3
Hence the other equation is -y = -2x - 3</span>
4 0
3 years ago
Read 2 more answers
Round 7097284 to a tenth of a million
kondor19780726 [428]
The nearest tenth of a million for the number 7,097,284 is 7.1 million. Hope I hlped!

6 0
3 years ago
Read 2 more answers
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