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3 years ago

Harriet brought 4 pies,which she plans to share with a group of friends.If there is exactly enough to give each member of the gr

oup 1/6 of a pie, how many people are in the group

Mathematics

1 answer:

VikaD [51]3 years ago

4 0

$4 \times \frac{1}{6} what \: is \: the \: \\$

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Just question 1, please.

ANTONII [103]

Step-by-step explanation:

We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.

To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or

(7.5-1.25)/(100-50) = 6.25/50

= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.

Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get

1.25 = 50(0.125) + b

1.25 = 6.25 + b

subtract both sides by 6.25 to isolate the b

-5 = b

Therefore, we can write our equation as

y = 0.125 * x - 5

In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.

To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.

For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone

For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars

For (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee

6 0

2 years ago

The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?

BARSIC [14]

1. Domain.

We have $x^2-2x-3$ in the denominator, so:

$x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\
(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}$

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

$f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}$

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)

6 0

3 years ago

Read 2 more answers

Streak

Monica [59]

Answer: Not 100% sure but this is what I think.

-4/5

Step-by-step explanation:

(5, -1) (15, −9)

1Y - 2Y / 1X - 2X = SLOPE

-1 + 9 / 5 - 15 = 8/-10 = -8/10 = -4/5

7 0

2 years ago

What is the value of y

Reil [10]

All angles in a triangle add up to 180
So 79+37=116
180-116=64
Y=64
Hope this helps

5 0

3 years ago

2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability o

coldgirl [10]

Answer:

$\frac{11}{25}$

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

$\frac{33}{75}$ or 0.44

This fraction can also be simplified to its simplest form of $\frac{11}{25}$ which is obtained by dividing both the numerator and denominator by 3

5 0

2 years ago