What is 1 whole and 5/8 as a decimal
What is 1 whole and 5/8 as a decimal - 1

Answers

Answer 1
Answer:

Answer:

1 whole and 5/8 as a decimal is 1.625

Answer 2
Answer: Answer: 1.265
Steps: Convert 1 5/8 to a improper fraction-> 13/5 and dived the numerator by the denominator. 13/5= 1.265

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A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

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4. Simplify the following.
3
a. 2-X5-:11
3
x5
5
6
7​

Answers

Answer:

1 (1)/(4)

Step-by-step explanation:

2 (3)/(7)  *  5(5)/(6)   / 11 (1)/(3)

Convertthemixednumbertoanimproperfraction

(17)/(7)  *  (35)/(6)  /  (34)/(3)

Todividebyafraction,multiply thereciprocalofthatfraction

(17)/(7) *  (35)/(6)  *  (3)/(34)

Reducethe number withtheG.C.F7

17 *  (5)/(6)  *  (3)/(34)

Reducethe numberswiththeG.C.F17

(5)/(6)  *  (3)/(2)

Reducethe numberswiththeG.C.F3

(5)/(2)  *  (1)/(2)

Multiplythe fraction

(5)/(4)

Inmixed fraction:

1 (1)/(4)

Hopethis helps..

Goodluck on your assignment...

100pts: Convert the following expression into postfix notation: 4*(5/2^3-4)+4*(9-2)

Answers

Answer:

  4 5 2 3 ^ / 4 - × 4 9 2 - × +

Step-by-step explanation:

Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.

Conversion algorithm

Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.

__

Given example

For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...

  4 5 2 3

and the operator stack is

  ( * ( / ^ . . . . . top item is on the right

When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...

  output: 4 5 2 3 ^ /   operator stack: ( * ( -

Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.

The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...

  output: 4 5 2 3 ^ / 4 - *   operator stack: ( +

The output string so far completes the evaluation of the first term of the input expression.

Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...

  4 5 2 3 ^ / 4 - × 4 9 2 - × +

_____

The result is 14.5.

Hope This Helps!!!

Have a great day!!!

Solve the
equation:
6x = -78

Answers

Answer:

Step-by-step explanation:

6x= -78 you just solve it algabraicly

  6x= -78

    /6x  /6x

    x= -13

Answer:

x = 13

Step-by-step explanation:

Divide both sides of the equation by the same term

6x/6 =78/6

Simplify

Cancel terms that are in both the numerator and denominator

6x/6=78/6

x=78/6

Divide

x=78/6

x=13

Hope this helps!

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Answers

Answer:

Bottom left

Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.

Answers

The estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones using linear interpolation.

Linear interpolation can be used to estimate the demand at a price of $1.50 per cone based on the given data points.

Let, the price as "P" (in dollars) and the demand as "D" (in cones).

Given data points:

Price = $1.20, Demand = 50 cones

Price = $2.20, Demand = 30 cones

We want to estimate the demand at Price = $1.50.

First, calculate the demand change between the two price points:

Demand change = Demand at $2.20 - Demand at $1.20

Demand change = 30 - 50 = -20 cones

Now, calculate the price difference between the target price ($1.50) and the lower price ($1.20):

Price difference = Target Price - Lower Price

Price difference = 1.50 - 1.20 = 0.30

Next, calculate the proportional change in demand due to the price difference:

Proportional change = (Price difference / Price change) * Demand change

Proportional change = (0.30 / 1.00) * (-20) = -6 cones

Finally, estimate the demand at the target price:

Demand at target price = Demand at lower price + Proportional change

Demand at target price = 50 - 6 = 44 cones

Therefore, the estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones using linear interpolation.

Learn more about interpolation here:

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Final answer:

Using linear interpolation, the estimated demand for ice cream cones at a price of $1.50 per cone is 44 cones.

Explanation:

To estimate the demand at a price of $1.50 per cone using linear interpolation:

  1. Calculate the slope or rate of change of the demand by using the formula: slope = (change in demand) / (change in price).
  2. Using the given data, calculate the slope as (30-50) / ($2.20-$1.20) = -20 / $1.00 = -20.
  3. Then, use the slope and one of the given points to find the equation of the linear demand function. Let's use the point (50, $1.20).
  4. The linear demand function is given by: demand = slope * (price - given price) + given demand.
  5. Substituting the values, we have demand = -20 * (price - $1.20) + 50.
  6. Finally, substitute the given price of $1.50 into the demand function: demand = -20 * ($1.50 - $1.20) + 50 = -20 * $0.30 + 50 = 44 cones.

Learn more about Linear Interpolation here:

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