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2 years ago

11-x+3y=8 solve for y

Mathematics

2 answers:

Greeley [361]2 years ago

7 0

Answer:

y= −1 + x/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Eduardwww [97]2 years ago

7 0

Answer:

y = 1/3x -1

Step-by-step explanation:

11 -x +3y = 8

3y = x -3

divide by 3

y = 1/3x -1

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most repre

kakasveta [241]

Answer:

Step-by-step explanation:

You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor

3 0

2 years ago

Write an expression for the sequence of operations described below. triple v, then subtract 7 from the result Do not simplify an

oee [108]

Given:

The sequence is defined as "triple v, then subtract 7 from the result".

To find:

The expression for the given sequence.

Solution:

Triple v means 3 times of v, i.e., 3v.

So, the result is 3v.

Then subtract 7 from the result. So, the expression for the sequence is

$3v-7$

Therefore, the required expression is $3v-7$ .

6 0

3 years ago

Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 434 pounds of apples, 514 cups of f

Tamiku [17]

This question was not written properly

Complete question;

Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

Answer:

To serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

Step-by-step explanation:

The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

For Apples

Serving for 6 = 4 3/4 pounds of apples

Serving for 15 =

= 15 × 4 3/4 pounds/6

= 11 7/8 pounds of apples

For flour

6 servings = 5 1/4 cups of flour,

15 servings =

15 × 5 1/4 cups/6

= 13 1/8 cups of flour

For Margarine

6 servings = 1/6 cups of margarine

15 servings =

= 15 × 1/6 cups/6

= 5/12 cups of margarine

For Sugar

6 servings = 2 7/8 cups of sugar

15 servings =

15 × 2 7/8 cups/6

= 7 3/16 cups of sugar

For Cinnamon

6 servings = 2 teaspoons of cinnamon

15 servings =

15 × 2/6

= 5 teaspoons

Therefore, to serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

5 0

3 years ago

Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3

Masteriza [31]

To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                   -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 + (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

8 0

3 years ago

Read 2 more answers