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2 years ago

6

Brady bought 3 pieces of chicken that cost x dollars each, a salad for $3 and a drink for $2. If he spent $ 14, how much was eac

h piece of chicken?

1 answer:

zzz [600]2 years ago

4 0

Answer:9$

Step-by-step explanation:14-3+2=9

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Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

Concesion tables contain ratios that can be used to convert units of length, weight, or capacity. You must multiply the

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

yard; the ratio of feet to yards is

7 0

3 years ago

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Anna35 [415]

<h3>Answer: Choice C) </h3><h3>The system can only be independent and consistent</h3>

===========================================================

Explanation:

Let's go through the answer choices

A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
C) We'll get back to this later
D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

6 0

3 years ago

Read 2 more answers

Complete the ordered pair for the given equation. (_,-1);y=-3/5x-7

Fiesta28 [93]

Hi!

So for this problem, we're given the y-coordinate and we can plug that in for y in the equation. So let's do that

-1 = -3/5x - 7
6 = -3/5x
30 = -3x
-10 = x

The missing coordinate would be x, assuming that the equation was y = (-3/5)x - 7

3 0

3 years ago

3. The odds of winning a bike is 7:15. The probability of winning a remote control car is 50%. For

Elenna [48]

50% - .5
7/15 - .46

the remote control car

5 0

2 years ago