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3 years ago

-x+3y=6 x+3y =18 elimination

Mathematics

1 answer:

prohojiy [21]3 years ago

8 0

Answer:

(x,y) = (6,4)

Step-by-step explanation:

-x+3y=6

x+3y =18

using elimination method

eliminate 1 variable, by adding equations

add the equations vertically

6y = 24

divide by 6 on both sides

6y/6 = 24/6

y = 4

NOT DONE YET!

substitute the y value

-x + 3(4) = 6

x = 6

(x,y) = (6,4)

CHECK:

-6 + 3(4) = 6

6 + 3(4) = 18

6 = 6

18 = 18

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Is 5/y a monomial? Explain.

monitta

Answer:

Step-by-step explanation:

A monomial is a single term which can have variable, numbers, exponents, and multplication. It cannot have division as an operation.

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3 years ago

There is only one city in Delaware county and that is dunston. The population of dunston is 6549. There are 43118 people living

WARRIOR [948]

Honestly this makes no logical sense but you should take 43,118+6,549=49,667

6 0

4 years ago

Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide a

sukhopar [10]

Answer:

0.42 ft

0.92 ft

Step-by-step explanation:

Width of mural on painting = 5 inches

Height of mural on painting = 11 inches

12 inches of the painting represents 1 foot of the mural

1 inch of the painting represenets $\dfrac{1}{12}$ foot of the mural.

$5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}$

$11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}$

The width of the mural is 0.42 ft and height of the mural is 0.92 ft.

5 0

3 years ago

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther

rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle Dimes Quarters

2 3

2 5

So, it becomes ,

Nickle : Dimes : Quarters

2×2 : 3×2 : 3×5

4 : 6 : 15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

According to question,

$4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20$

So, number of nickels is given by

$4x=4\times 20=80$

Number of dimes is given by

$6x=4\times 20=120$

Number of quarters is given by

$15x=4\times 20=300$

As we know that

$1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents$

So, According to our question, we get

$80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.$

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.

7 0

3 years ago

You normally pay your line cooks $22 per hour, but one has worked overtime and should be paid time and a half. What is

GalinKa [24]

Answer:

$33 per hour

Step-by-step explanation:

"Time and a half" means the overtime rate is 1 1/2 times the base rate.

overtime rate = (1 1/2) × $22/hour = $(22 +1/2(22))/hour = $33/hour

The correct overtime rate is $33 per hour.

8 0

2 years ago