Find the slope of the line through each pair of points (20, 8), (9, 16)

Answers

Answer 1

Answer: Search on Google, slope of (20,8),(9,16) and click the second thing. It has the answer to your problem.

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1) A hardware company's cost, in thousands of dollars, is represented by the function C(x)=0.5x+900 and its revenue, in thousands of dollars, is represented by the function R(x)=4x. Each package of nuts and bolts is represented by x. How much will the company profit if they sell 80000 packages? Round your answer to the nearest dollar, and do not include the dollar sign in your answer.

Answers

Answer:

Profit = $279,100

Step-by-step explanation:

We know

Profit = Revenue - Cost

Given Cost equation and Revenue equation, we can find profit equation. Shown below:

$Profit=Revenue-Cost\nP(x)=R(x)-C(x)\nP(x)=4x-(0.5x+900)\nP(x)=4x-0.5x-900\nP(x)=3.5x-900$

Where x, is the number of packages.

The company will profit when selling 80,000 packages is:

$P(x)=3.5x-900\nP(80000)=3.5(80000)-900=279,100$

Profit = $279,100

Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?

Answers

Answer:

Diapers costs $11 and formula is $13.

Step-by-step explanation:

Let's name diapers as A and formula as B.

Simply the equations:

1A + 2B = $37(1)

2A + 5B = $87(2)

Clear D from one equation.

A = $37 - 2B(1)

Replace D into the other equation.

2*($37 - 2B) + 5B = $87(2)

$74 - 4B + 5B = $87

$74 + B = $87

B = $87 - $74 = $13

Find A, now knowing B.

A = $37 - 2($13)

A = $37 - $26 = $11

Answer:

Cost of a bag of diapers is $11 and cost of one can of formula is $13.

Step-by-step explanation:

Let cost of each diaper = $D and cost of each cans of formula = $C

Malik shops a bag of diapers and 2 cans of formula.

He spends total of $37.

So the equation will be

D + 2C = 37 -------(1)

Next week he stops and buys 2 bags of diapers and 5 cans of formula.

He spends total $87.

Equation for this purchase will be

2D + 5C = 87 ----------(2)

Multiply equation (1) by 2 and subtract it from equation (2).

2(D + 2C) - (2D + 5C) = 2×37 - 87

2D + 4C - 2D - 5C = 74 - 87

-C = - 13

C = 13

From equation (1)

D + 2×13 = 37

D + 26 = 37

D = 37 - 26

D = 11

Therefore, cost of a bag of diapers is $11 and cost of one can of formula is $13.

Jada lives in a city that has an area of 344.6 square miles. Her friend lives in a town that is one-tenth, or 0.1, that size. What is the area of her friend's town?

Answers

Answer:

The area of her friend's town $= 34.46\text{square miles}$

Step-by-step explanation:

Given : Jada lives in a city that has an area of 344.6 square miles.

Her friend lives in a town that is one-tenth, or 0.1, that size.

To find : The area of her friend's town.

Solution : The area of Jada house = 344.6 square miles.

Her friends house is one-tenth or 0.1 of 344.6 square miles.

Actual area of her friend's house is = 0.1 of Area of Jada house

$= 0.1* 344.6$

$= 34.46\text{square miles}$

Therefore, The area of her friend's town $= 34.46\text{square miles}$

344.6 x 0.1 - as it one tenth the size

= 34.46 square miles

Evaluate the expression

Answers

Answer:

Step-by-step explanation:

In the first step, inside the brackets I took the LCM and then in second step I subtracted 3 from 11 which gave result of8÷8=1 then 1 is multiplied to 2 which becomes 49-2 and 47 is the result

Can you simplify 5 over 36

Answers

No you can not simplify 5 over 36 you can immediately tell if it can be simplified by looking to see if it is a multiple in this case 5 is not a multiple of 36.

It is already simplified you can go any further

Clint bought 3 T-shirts at $9 each and 2 pairs of shorts at $12 each. Explain how to find the total Clint spent.

Answers

total cost=shirtcost+shortscost

shirtcost=number of shirts time cost per shirt
shirtcost=3 times 9=$27

shortscost=number of shirts times cost per short
shortcost=2 times 12=$24

total cost=27+24=51

total is $51

You need to use multiplication.

3 x 9 = 27

2 x 12 = 24

Now add 24 and 27 wich make 51.

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