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3 years ago

Which pair ordered x’y is a solution to given system of linear equations 3x+y=1 5x+y=3

Mathematics

1 answer:

ohaa [14]3 years ago

7 0

Answer:

(1, -2)

Step-by-step explanation:

Subtracting the first equation from the second gives ...

(5x +y) -(3x +y) = (3) -(1)

2x = 2 . . . . . collect terms

x = 1 . . . . . . . divide by 2

Then substituting into the first equation, we have ...

3·1 +y = 1

y = -2 . . . . . . subtract 3

The solution is (x, y) = (1, -2).

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Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sel

enot [183]

Answer:

72.1 hours

Step-by-step explanation:

Let the number of hours be represented as: x

Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.

Convert 2 7/8 pounds to decimal = 2.875pounds

Hence:

252 - 2.875x

Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.

Convert 3 1/3 pounds to decimal = 3.333 pounds

Hence:

285 - 3.333x

How many hours until they have the same amount of fruit left?

This calculated by equating both equation together

252 - 2.875x = 285 - 3.333x

Collect like terms

-2.875x + 3.333x = 285 - 252

0.458x = 33

x = 33 / 0.458

x = 72.052401747 hours

x ≈ 72.1 hours

They would have the same amount of fruit left after 72.1 hours

6 0

3 years ago

I need help. I am taking a math test and I am stuck on the first question

Leokris [45]

Answer:

Dw! I feel its B)

Step-by-step explanation:

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3 years ago

Larry graphs the inequality x less-than negative 5 using the steps below. Step 1: Draw a number line, and place an open circle a

Yakvenalex [24]

Answer:

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Step-by-step explanation:

5 0

3 years ago

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2. Richmond Appliance repairs washing machines. The revenue that the company earns is given by the function R(h) = 20 + 45h doll

Vesnalui [34]

The number of hours needed for the company to break even happens when
$R(h)=C(h)$

$20+45h= 5h^{2}-30$ , rearranging to make the equation 'zero' on LHS
$0= 5h^{2}-30-20-45h$
$0= 5h^{2}-45h-50$ , divide each term by 5
$0= h^{2}-9h-10$ , factorise
$0=(h+1)(h-10)$ , equate each factor to zero
$h=-1$ and $h=10$

We choose the positive value of $h$

Hence, the number of hours needed to break even is $h=10$

6 0

4 years ago

Please please please help me!

tatyana61 [14]

RQ/circumference = 65/360

RQ = 65*circumference/360
= 65*2*pi*6.48/360
= 117pi/50
= 7.4 inches

3 0

3 years ago

Read 2 more answers