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uranmaximum [27]
3 years ago
8

I have a mix of 12 nickels and dimes in my pocket. All together I have $1 . How many nickles and dimes do I have?

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

Step-by-step explanation:

n + d = 12

0.05n + 0.1d = 1    ║ × ( - 10 )

n + d = 12 ..... <em>(1)</em>

- 0.5n - d = - 10 ..... <em>(2)</em>

<em>(1)</em> + <em>(2)</em>

0.5n = 2 ⇒ n = 4

d = 12 - 4 = 8

There are <em>4 nickels</em> and <em>8 dimes</em> in the pocket.

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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!

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Artemon [7]

Answer:

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Answer:

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irga5000 [103]
One of the ways to find the answer is to find how much 1 percent of 150 is. To do that we just have to divide 150 by 100:

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Now we can divide 9 by 1.5 to know how much percent of 150 it is:

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Let's check it:

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Answer:

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Step-by-step explanation:

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