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3 years ago

A 2 pound box of salt sells for $.89 and a 5 pound box sells for 2.09. What is the linear equation for this?

1 answer:

4 0

Y = ax + b;

0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;

y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.

You might be interested in

If Dante spins the spinner below 75 times, how many times should he expect it to land on "U"?

Fed [463]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve making assumptions

$Spinner = 10\ segments$

$U = 1$

$n=75$

Required

Number of times to land on U

First, calculate the theoretical probability of U

$Pr(U) = \frac{U}{Spinner}$

$Pr(U) = \frac{1}{10}$

The expected number (E) of time to land on U is then calculated as:

$E = Pr(U) * n$

$E = \frac{1}{10} * 75$

$E = 0.10 * 75$

$E = 7.5$

Approximate

$E = 8$

8 times

Follow the above steps, and you will arrive at your answer

3 0

2 years ago

The sum of digits of a cetain two - digit number is 7. Reversing its digits increases the by the number nine. what is the number

const2013 [10]

The number is 34.
3 + 4 = 7
43 - 34 = 9

7 0

2 years ago

Original: $300; new: $200

andre [41]

You lost $100 because 300-200 is 100.

7 0

3 years ago

Read 2 more answers

According to records from 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probabil

Brrunno [24]

Record of june temperature of last 50 years

Probability of June temperature being above 80° F from last 50 years

$=\frac{2}{3}$

It means , out of 30 days ,there are only 20 days , in which temperature is above 80°F.

⇒Probability that it will be above 80° F for 20 or more days this June

$=\frac{20+x}{30}$

where, x is the number of extra days after 20 days in month of june, when temperature is above 80°F.

Value of this Probability will be in between

$\frac{2}{3}\leq P \leq 1$

Now, what Azul wants

To find the probability that it will be above 80° F for 20 or more days this June.

The Simulation given is

⇒There are 30 days in June. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80° F and 5-6 as a temperature 80° F or below.

Total number of numbers on number cube ={1,2,3,4,5,6}

Favorable Outcome={1,2,3,4}=Temperature above 80° F

Temperature 80° F or below ={5,6}

⇒Probability of getting number {1,2,3,4} on the number cube when rolled once,that is Temperature above 80° F

$=\frac{4}{6}\\\\=\frac{2}{3}$

⇒Probability of getting number {5,6} on the number cube when rolled once, that is Temperature 80° F or below

$=\frac{2}{6}\\\\=\frac{1}{3}$

This is Incorrect Simulation, as there are chances that , there can be more than 20 days out of 30 days when Temperature goes above 80° F.But Here we have got Probability of temperature being above 80° F for 20 days only, not more than 20 days, which is $=\frac{2}{3}$

Not,a number

$\frac{2}{3}< \text{Probability} \leq 1$ .