A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist's average rate of speed in miles per hour?


8:00 A.M. --> 3.5 ---> 8:14 A.M. -------> 8.5 -----> 8:48 A.M.

The average rate of speed is ___
miles per hour.

In 2000 and 2007, quarters and dimes cost less to produce than they are worth while nickels and pennies cost more in 2007. The increased cost to produce 50 of each coin in 2007 vs 2000 can be calculated by multiplying the increase in production cost for each coin by 50 and summing up the totals.

In Part A, you're asked to compare the face value of each coin to its production cost. For a quarter, the face value is 25 cents which is higher than the production cost of 4.38 cents in 2000 and 9.78 cents in 2007. This is true for the dime as well, face value of 10 cents compared to production costs of 1.92 cents in 2000 and 4.09 cents in 2007. Hence, quarters and dimes cost less to make than they are worth. Nickel and Penny cost more than they are worth in 2007 since their production cost exceeds their face value (5 cents for Nickel and 1 cent for Penny).

For Part B, you need to calculate the difference in the production cost for each coin between 2007 and 2000, and then multiply that by 50. For example, the cost for a quarter increased by 5.4 cents from 2000 to 2007 (9.78-4.38). Multiplied by 50, that's an increase of 270 cents (or $2.70). Do the same for each coin and sum up all the increases to get the total increased cost for 50 of each coin.

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It's a horizontal line y = -9.

Look at the picture.

Answer: B.

6 rows empty

1127=16 total rows

707=10 rows full

16−10=6 rows empty

Answer:

a) The original price of music player is $170.66

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.

Step-by-step explanation:

Let the original price be x

A hand-held digital music player was marked down by 1/4 of the original price.

So, Discount = [tex]\frac{1}{4}x[/tex]

So, Sale price =[tex]x-\frac{x}{4}=\frac{3x}{4}[/tex]

We are given that  the sales price is $128.00

So, [tex]\frac{3x}{4}=128[/tex]

[tex]x=\frac{128 \times 4}{3}[/tex]

[tex]x=170.66[/tex]

a) The original price of music player is $170.66

The item was marked up by 1/2 before it was placed on the sales floor.

So, Cost = [tex]170.66+\frac{1}{4} \times 170.66[/tex]

Cost = [tex]213.325[/tex]

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

The trignometric ratios are [tex]\downarrow[/tex][tex]\downarrow[/tex]

[tex]\begin{gathered}\begin{gathered}\begin{array}{||c|c|c||} \\ \rm sin \: A & \dfrac{\sf\:Opposite\: side\: of\: angle\: A }{\sf\:Hypotenuse \: } & \dfrac{\sf\:BC}{\sf\:AC} \\ \\ \rm cos \: A & \dfrac{ \sf\: Adjacent \:side \:of\: angle \:A }{\sf\: Hypotenuse} & \dfrac{\sf\: AB}{ \sf\: AC} \\ \\ \rm tan A & \dfrac{\sf\: Opposite \:side \:of \:angle\: A}{ \sf\: Adjacent \:side \:of \:angle \:A } & \dfrac{\sf\:BC}{ \sf\: AB}\\ \\ \rm cosec A & \dfrac{\sf\: Hypotenuse}{\sf\: Opposite\: side \:of\: angle\: A}& \dfrac{\sf\:AC}{ \sf\:BC } \\ \\ \rm sec A & \dfrac{\sf\: Hypotenuse}{ \sf\: Adjacent \:side\: of\: angle \:A}& \dfrac{\sf\:AC}{\sf\:AB}\\ \\ \rm cot A & \dfrac{\sf\: Adjacent \:side\: of \:angle \:A}{\sf\: Opposite\: side \:of\: angle\: A} & \dfrac{\sf\:AB}{ \sf\: BC} \end{array}\end{gathered}\end{gathered} \\ \\ - \bf \: Lucazz \: (brainly.com)[/tex]

The answer is 19 and 2 45ths g trust me this is the answer

Step-by-step explanation:

Using the formula 'Time = Distance / Speed', the train traveling from New Orleans to Memphis at a constant speed of 79 mph would take approximately 5.0 hours to cover the distance of 395.1 miles.

The subject of this task is about calculating travel time given a certain speed and distance. In this case, we have a train traveling from New Orleans to Memphis at a constant speed of 79 mph, and we're asked to find out how long it would take for the train to cover the distance of 395.1 miles between the two cities.

The principle used to find this is a basic mathematical concept involving time, speed, and distance, represented in this formula: Time = Distance/Speed. For this question, the distance is 395.1 miles and the speed is 79 mph.

Applying this information into the formula, the calculation becomes: Time = 395.1 miles / 79 mph = 5 hours. Rounded to the nearest tenth, the time it takes for the train to get to from New Orleans to Memphis at a constant speed of 79 mph is approximately 5.0 hours.

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The equation representing the total number of books, including those on three shelves and in a stack, is 84 + x = 85. By solving this equation, we find that there is 1 book in the stack.

The question involves formulating an equation to represent the total number of books given the number of books on shelves and in a stack. Since there are three shelves each with 28 books, we first calculate the total number of books on the shelves. Then, we let x represent the number of books in the stack. The equation that represents the total number of books is:

3 shelves × 28 books per shelf + x books in the stack = 85 books total

This simplifies to:

84 + x = 85

To solve for x, we subtract 84 from both sides:

x = 85 - 84

Thus, x = 1, meaning there is 1 book in the stack.

Answer:

The answer is C

Answer:

each person gets 1/8 pounds of almonds

Step-by-step explanation:

Four persons will divide ½ pound of almonds in four pieces, one piece for everyone, so translating this to an equation is:

X = [tex]\frac{1}{2}[/tex] ÷ 4

Where X represent how much of almonds will have everyone.

For divide fractional numbers we do a multiplication in cross, that means that the higher number in the first fraction will be multiplicated with the lowest number of the second fraction ( if the second number is not a fraction, we will assume that have a the number 1 is the lowest part) and the lowest number of the first fraction will be multiplicated with the highest number of the second number.

Then, we can rewrite the initial equation and solve as:

X= [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{4}{1}[/tex]

[tex]X=\frac{1*1}{2*4} = \frac{1}{8}[/tex]

So, each person is going to get 1/8 pounds of almonds.