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1 year ago

9x - 3y = -42 and -9x + 8y =22

Mathematics

1 answer:

ASHA 777 [7]1 year ago

8 0

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

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22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwitho

Nitella [24]

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = $\dfrac{12}{4}=3$

The number of pieces of rolls in each plate = $\dfrac{16}{4}=4$

So, the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

7 0

1 year ago

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

Alchen [17]

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = $2(\pi )r$ or $(\pi)d$

Re-arranging the formula:

⇒ $(\pi)d = Circumference\ (C)$

⇒ $(\pi )d =C$

⇒ $\frac{\pi\times d}{d}=\frac{C}{d}$

⇒ $\pi =\frac{C}{d}$

Plugging the numeric values:

⇒ $\pi =\frac{43.96}{14}$

So the expression for π is 43.96/ 14,and option C is the correct choice.

4 0

1 year ago

when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t

Alina [70]

Answer:

R(t)=42-0.7t

Step-by-step explanation:

7 0

2 years ago

If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22

madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years

Annual rate = 0.078

Quarterly= 0.078 ÷ 4 = 0.0195

Effective annual rate = (1.0195^4) - 1 = 0.0803113041

Now applied the formula which is given below

= -FV(RATE;NPER;PMT;PV)

After applying the above formula, the future value is $501,049.37

7 0

1 year ago

Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in hi

Molodets [167]

Answer:

$s = \frac{4p}{3} -100$

Step-by-step explanation:

Given

$p = \frac{3(s + 100)}{4}$

Required

Solve for s

$p = \frac{3(s + 100)}{4}$

Multiply both sides by 4

$4 * p = \frac{3(s + 100)}{4} * 4$

$4 * p = 3(s + 100)$

$4p = 3(s + 100)$

Open bracket

$4p = 3s + 300$

Subtract 300 from both sides

$4p -300= 3s + 300 -300$

$4p -300= 3s$

Divide both sides by 3

$\frac{4p -300}{3}= \frac{3s}{3}$

$\frac{4p -300}{3}= s$

$s = \frac{4p -300}{3}$

Split

$s = \frac{4p}{3} -\frac{300}{3}$

$s = \frac{4p}{3} -100$

5 0

1 year ago