The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?

Answer:

y = -1/12x + 11

Step-by-step explanation:

An ordered pair is the form (x,y)  Us the x and y from the point and the slope to find the y intercept and then you can write the equation.

Use o for x and  11 and or y and - 1/12 for m

y = mx + b

11  = (-1/12)(0) + b

11 = b

y = -1/12x + 11

Answer:

Y = -1/12 x + 11

Step-by-step explanation:

Start with point (0,11)   slope ( -1/12)  form :

(y-11) = -1/12 (x-0)

      re-arrange to slope intercept form just by adding 11 to both sides

y = -1/12 x + 11    

Answer:

Step-by-step explanation:

r stands for a. rate: the percent that interest is paid annually as a decimal.

The formula given in question is of simple interest. Rewriting the formula, along with definition of each value.

S. I. = p × r × t. In this formula, S.I. is simple interest, p refers to principal amount, r refers to rate of interest and t refers to time period.

Principal amount is the original amount of money, which person has from beginning. Rate of interest is the indicative of charge on principal amount, that has to be paid back. It can be charged annually, monthly, quarterly or as specified. Time period is amount of time for which the principal amount is taken. Interest will be calculated for this time period.

Learn more about simple interest -

https://brainly.com/question/25793394

#SPJ4

Answer:

0.5L

Step-by-step explanation:

240ml = 1 cup

120ml = 1/2 cup

80ml = 1/3 cup

60ml = 1/4 cup

^ add together and get 500ml, change unit to liters and your set will hold 0.5l

Answer:

***4.4+ 1.5 * 2 / 0.5*** = 10.4

***3-2.5/3+1 1/3*** = 3.5

Step-by-step explanation:

Answer:

x/12

Step-by-step explanation:

In terms of x with no dollar numbers provided, the amount LESS for 4 people versus 3 would be x/3 - x/4.  Getting 12 as the LCD and subtracting gives x/12 less to pay.

Answer:

y = m(x) + t

Step-by-step explanation:

Pretty sure this is the right answer...

Hope this helps! :D

Answer:

6.2

Step-by-step explanation:

Convert the equation to absolute value

[tex]14.4\pm-8.2[/tex]

Simplify

[tex]\\14.4-8.2\\6.2[/tex]

Answer:

b

Step-by-step explanation:

Answer:

2/19

Step-by-step explanation:

Rewrite the mixed number as an improper fraction. Frist, multiply 2x8 then add that to 3 to get 19/8. Now you have 1/4 / 19/8. Multiply by the reciprocal of the denominator. Now you have 1/4 x 8/19. 1 x 8 = 8. 4 × 19= 76. This gives you 8/76. You can simplify this by dividing the numerator and denominator by 4. This would give you 2/19.

Answer:

13 • -2 = -26

Step-by-step explanation:

-13 + -13= -26

Answer:

a) 3

b) draw a rectangle

Step-by-step explanation:

___

|___| combine the rectangle (3 bottom lines, 3 top lines, 2 left lines, 2 right lines)

Using the motion equation we can get:

a) s = -16*t^2 + 1028

b) 992 feet above the ground.

c) after 8 seconds, the coin will hit the ground.

First, we know that the general height equation is:

s = -16*t^2 + v0*t + s0

In this case, the coin is dropped, so the initial velocity v0 is zero.

And the coin is dropped from a height of 1028 ft, then s0 = 1028

Replacing that in the equation we get:

s = -16*t^2 + 1028

b) The height after 1.5 seconds is what we get by evaluating the height equation in t = 1.5

s = -16*(1.5)^2 + 1028 = 992

This means that the height after 1.5 seconds is 992 ft above the ground.

c) The coin will strike the ground when s = 0, then we need to solve:

s = 0 = -16*(t)^2 + 1028

Solving that for t, w eget:

16*t^2 = 1028

t^2 = 1028/16

t = √(1028/16) = 8

This means that the coin will hit the ground after 8 seconds.

If you want to learn more about motion equations:

https://brainly.com/question/19365526

#SPJ1

Answer:

[tex] \large \sf \: 6y - 8[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

8y−2(y+4)

Distribute:

=8y+(−2)(y)+(−2)(4)

=8y+−2y+−8

Combine Like Terms:

=8y+−2y+−8

=(8y+−2y)+(−8)

=6y+−8

=6y−8

Answer:

6y - 8

Step-by-step explanation:

This is a simplifying problem, so we just need to separate and link the like terms.

First we start with the parenthesis by distributing

-2*y + -2*4

-2y - 8

We can the put it back into the equation

8y - 2y + 8

8y and -2y are like terms so we can put them together to get 6y

6y +8

The approximate length of string lights the staff needs to decorate the ceiling is 40.25

The complete question is added as an attachment

From the attached figure, we have the following coordinates

A = (5, 16)

B = (17, 10)

C = (14, 4)

D = (2, 10)

Calculate the lengths AB and BC using the following distance formula

d = √[(x2 - x1)^2 + (y2 - y1)^2]

This gives

AB = √[(5- 17)^2 + (16- 10)^2] = 13.4

BC = √[(14- 17)^2 + (4- 10)^2] = 6.7

The approximate length of string lights the staff needs to decorate the ceiling is then calculated as

P = 2 * (AB + BC)

This gives

P = 2 * (13.4 + 6.7)

Evaluate

P = 40.2

Hence, the approximate length of string lights the staff needs to decorate the ceiling is 40.25

Read more about perimeter at:

https://brainly.com/question/19819849

#SPJ1

Answer: 40.25

Step-by-step explanation:

The nut that has the higher unit price is pecans.

The pecans cost $0.65 more than cashews.

Looking at the table of the cost of pecan, it can be seen that the cost of pecan increase by $10 for every 1 pound increase in weight.

Cost of one pound of pecan : $5 / 0.5 = $10

A linear function is a function that has one dependent variable and one independent variable. A linear function represents a straight line on a coordinate plane.

A linear function has the form: a + bx

Where:

y = 9.35x

Cost of one pound of cashew : 9.35 x 1 = $9.35

Difference in cost = $10 - $9.35 = $0.65

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

Answer:

$16

Step-by-step explanation:

Let x =  how much money Bob has. (x)

Bob has twice as much money as Bob. (2x)

Paul has $12 more than Bill. (2x+12)

To find out how much money Bob has, we can add our expressions for each person and set them equal to 92.

x + 2x + 2x + 12 = 92

To simplify this equation, we first need to find the like terms and add them.

1x + 2x + 2x = 5x

5x + 12 = 92

Now that we have done that, we can find how much money Bob has by solving for x. First, we subtract 12 on both sides of the equation.

5x + 12 - 12 = 92 - 12

5x = 80

Then we divided by 5 on both sides of the equation.

5x/5 = 80/5

x = 16

Since x = 16, we know that Bob has 16 dollars.

The solution of the graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

What is Inequality?

To compare two or more mathematical expression in a relation is called an Inequality.

Given that;

The solution sets are;

y < 2x - 8

y > -1/2 x - 3

Now, We draw graph of inequalities.

Then we get,

The graph of the solution set y< 2x - 8 and y > -1/2 x - 3 is shown in image by purple shade.

Learn more about the inequality visit:

https://brainly.com/question/11234618

#SPJ1

Answer: 25 hours long time"

Yan po yung sagot pa brainliest po

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

step 1 : exapnding 2(x+4) will give you 2x +8 , the student made an error in expanding

so it should then be 2x+8 = 6x-12

and then if you move the letters to one side and the numbers to the other you will get :

-4x = -20

x=5

hope this works :)

x=5

Step-by-step explanation:

the student added a minus in 2x and 8 when it's suppose to be an addition that is the error

2(x+4)=6(x-2)

2x+8=6x-12

2x-6x=-8-12

-4x=-20

x= -20/-4= 5

x=5

The typical pace of change since the slide's start, -14/3.

Let, the average rate of change is k

(x1,y1) (x2,y2), k= (y2-y1)/(x2-x1)

=10-80/15

=-70/15

k=-14/3

Average = -14/3

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in measurable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The average rate of change is a measure of how quickly on average one quantity changes in relation to another. It provides a general sense of the function's change in value per unit throughout the specified time period. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another. Let's take a closer look at the average rate of change formula.

To know more about average rate visit:

https://brainly.com/question/96116

#SPJ4

Answer:

Julie, by one word per minute.

Step-by-step explanation:

Marie can type 42 words per minute, because 546/13 is 42. Julie can type 43 words per minute, because 602/14 is 43. Therefore, Julia is faster by one words.

Here is a simple example of set-builder notation set builder notation it says " the set of all x's, such that X is greater than 0".

Answer

this question is impossible!11!1!!!!

Step-by-step explanation:

none

From the given linear function, it is found that each descent by 88 meters was 11 seconds long.

The graph of the linear function is missing, and it is given at the end of the answer.

A linear function is modeled by:

y = mx + b

In which:

Given two points on the graph, the slope is given by change in y divided by change in x. For this problem, the points are given as follows:

(0, 440) and (40,0).

Hence the slope is:

m = (0 - 440)/(40 - 0) = -11.

Meaning that in each minute, he descended 8 meters. Thus the time to descend 88 meters is given by:

t = 88/8 = 11 seconds.

Each descent by 88 meters was 11 seconds long.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

I think the answer is Answer: 1.17 per cup

Step-by-step explanation:

Work  

If one 1-pint is 2 cups

Then  2 *  8 = 16 cups

so then  $18.72 divided by 16

1.17 US

Hope this help pls like

Step-by-step explanation:

20 USD = about 2,859.72 yen

20 USD= about 17.55 pound silver

1USD = 142.99 yen

1USD = 0.88 pound

Answer:

I deleted my answer because I didn't see that someone already answered this question.

Greetings from Brasil...

Using set theory to solve this question

Let

D = Dogs Set

C = Cats Set

R = Classroom Set

n(D ∪ C) = n(D) + n(C) - n(D ∩ C)

n(D ∪ C) = 14 + 11 - 3

n(D ∪ C) = 22

Then,

Total = n(D ∪ C) + 24

Total = 22 + 24

Answer:

83/100

Step-by-step explanation:

To turn a decimal into a fraction, place decimal number over its place value.

Place value = 100

Decimal number = 83