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3 years ago

Even though the elimination method is easy I still have trouble with it

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

2x -4y= -6

Add the equations together

x+4y = 9

2x -4y= -6

-------------------

3x +0y = 3

3x=3

Divide by 3

3x/3 = 3/3

x=1

Now find y

x+4y = 9

1 +4y =9

Subtract 1 from each side

4y = 8

Divide by 4

4y/4 = 8/4

y =2

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2 years ago

What number should be added to both sides of the equation to complete the square? x^2 – 6x = 5

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3 years ago

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

3 years ago

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

den301095 [7]

Set up the conversion factor like this:

$\frac{3in}{1} * \frac{1ft}{12in}$

The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.

4 0

3 years ago

Read 2 more answers

Three singers are chosen at random from a group of 5 Chinese, 4 Indians and 2 British singers.

slega [8]

<h2>Answer:</h2><h3>14 ways.</h3>

Please see the attached picture for full solution..

Hope it helps...

Good luck on your assignment...

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3 years ago