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3 years ago

7. 4 = 8X + 5Y _____________________________

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

As the equation does not consists like terms we can only get x , y equations.

Step-by-step explanation:

Firstly, they are not like terms.

If the value to be is found is X then,

8x+5y=4

Now subtract 5y on both sides

8x+5y-5y=4-5y

here both positive 5y and negative 5y get cancelled

Now divide by 8

x=(4-5y)/8

If we need y value then,

subtracting both sides by 8x

5y=4-8x

Now dividing with 5 on both sides

y=(4-8x)/5 =>y=4/5 -8x/5

According to Y=mx+c

slope = m = 4/5

y-intercept = -8x/5.

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A cook used all of a two-pound chunk of cheese in making three recipes. Recipe I used one-third as much cheese as Recipe II did,

skelet666 [1.2K]

Answer:

Recipe I uses 10% of the whole chunk of cheese.

Recipe II uses 30% of the whole chunk of cheese.

Recipe II uses 60% of the whole chunk of cheese.

Recipe I uses 0.2 pounds of cheese.

Recipe II uses 0.6 pounds of cheese.

Recipe II uses 1.2 pounds of cheese.

Step-by-step explanation:

Total amount of cheese = 2 pounds

Recipe I used one-third as much cheese as Recipe II did, and Recipe II used one-half as much cheese as Recipe III.

Let the amount of cheese used by recipe I, II and III be x, y and z respectively.

Total amount of cheese = 2 pounds

x + y + z = 2 (eqn 1)

Recipe I used one-third as much cheese as Recipe II did

x = (1/3)y

y = 3x

Recipe II used one-half as much cheese as Recipe III.

y = (1/2)z

z = 2y

z = 2y = 2(3x) = 6x

Substituting all of these into eqn 1

x + y + z = 2

x + 3x + 6x = 2

10x = 2

x = 0.2 pounds of cheese

y = 3x = 0.6 pounds of cheese

z = 6x = 1.2 pounds of cheese.

Recipe I uses (0.2/2) = 10% of the whole chunk of cheese.

Recipe II uses (0.6/2) = 30% of the whole chunk of cheese.

Recipe II uses (1.2/2) = 60% of the whole chunk of cheese.

Hope this Helps!!!

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3 years ago

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3 years ago

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jolli1 [7]

Answer:

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3 years ago

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IgorC [24]

Answer:

Interest rate, R = 244%

Step-by-step explanation:

Given the following data;

Principal = $270

Simple interest = future amount - principal = 309.60 - 270 = $39.60

Time = 22/360 = 0.06 years

To find the interest rate?

Mathematically, simple interest is calculated using this formula;

$S.I = \frac {PRT}{100}$

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

$39.60 = \frac {270*R*0.06}{100}$

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Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.

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3 years ago

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