9. Mark drinks one cup of coffee everyday. He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. He is starting to think that he might buy a Keurig and k-cups instead. The Keurig is $150 and each k-cup costs $0.50. How many cups of coffee will it take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups?

Answers

Answer 1
Answer:

Answer: 50 cups of coffee

Step-by-step explanation:

Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.

The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.

For the ordering cost to be the same, it means that

3.5x = 150 + 0.5x

3.5x - 0.5x = 150

3x = 150

x = 150/3

x = 50


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Ten measurements of impact energy on specimens of A238 steel at 60 ºC are as follows: 64.1, 64.7, 64.5, 64.6, 64.5, 64.3, 64.6, 64.8, 64.2, and 64.3 J. a. Use the Student’s t distribution to find a 95% confidence interval for the impact energy of A238 steel at 60 ºC. b. Use the Student’s t distribution to find a 98% confidence interval for the impact energy of A238 steel at 60 ºC.

Answers

Answer:At 95% confidence interval, the lower end is 64.306 and the upper end is 64.614

At 98% confidence interval, the lower end is 64.268 and the upper end is 64.652

Step-by-step explanation:

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change as −4 1/2 ounces. She noticed that he had lost the same amount of weight each week. What is Herman's weight change each week of the diet? Enter your answer in the box.

Answers

Answer: -1 1/8

Step-by-step explanation: When you have a problem like this, you have to divide.

So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.

-103  

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

A candy company is designing the packaging for its new candy bar. The bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long. How many of these cartons can they pack into the shipping crate which is 5 ft long, 12 ft wide, and 4 ft high?show your work.

Answers

Answer:

240 cartons

Step-by-step explanation:

If the bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long, the volume of the carton will be expressed as shown;

Volume of carton = Length * Breadth * Height

Volume of carton = 1ft*1ft*1ft

= 1ft³

Given the dimension of shipping crate to be 5 ft long, 12 ft wide, and 4 ft high, the volume of the tank will be 5*12*4 = 240ft³

Number of cartons they pack into the shipping crate = Volume of the shipping crate/volume of one carton

Number of cartons they pack into the shipping crate = 240ft³/1ft³

= 240 cartons

Answer:

number of cartons that can be packed in the shipping crate = 240 cartons

Step-by-step explanation:

The cartons are cube since the face all have the same dimension . The length = 1 ft, width = 1 ft and height = 1 ft.

The shipping crate is a rectangular prism or cuboid . The dimension is given as follows.

length = 5 ft

width = 12 ft

height = 4 ft

The number of the cartons that can be packed in the shipping crate can be calculated as follows.

volume of the cubed carton = L³

where

L = length

volume of the cubed carton = 1³ = 1 ft³

Volume of the shipping crate = LWH

where

L = length

W = width

H = height

Volume of the shipping crate = 5 × 12 × 4

Volume of the shipping crate = 240  ft³

number of cartons that can be packed in the shipping crate = 240/1 = 240 cartons

Hey can you please help me posted picture of question

Answers

Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 G (x) = f (x + h)
 G (x) = (x + 5) ^ 2
 Answer:
 
The graph of G (x) is given by:
 
G (x) = (x + 5) ^ 2
 
option D
From the graphs we can observe that G(x) is 5 units to the left of F(x). 

This means a horizontal translation of 5 units to the left of F(x) will result in G(x). Such a translation can be obtained from adding 5 to each x in the equation.

So,

G(x) = F(x+5)

F(x) = (x+5)²

So the correct answer is option D

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the wall by pulling out the bottom of the ladder by 5 feet?

Answers

the ladder would now be 15 feet long

4x<-2 como se desarrolla esta desigualdad

Answers

Answer:

x<-0.5

Step-by-step explanation: