The table shows the values of a function f(x).

An instructional video is 4.2 minutes long. How long is the video in seconds? How long is it in hours?

valkas [14]

First we convert it in seconds.

Number of seconds in 1 minute = 60 seconds
Therefore,
Number of seconds in 4.2 minutes = 4.2 x 60 = 252 seconds.

Next we convert it in hours.

60 minutes make up an hour. So we can write,
Number of hours in 60 minutes = 1 hour
Number of hours in 1 minute = 1/60 hour
Number of hours in 4.2 minutes = 1/60 x 4.2 = 0.07 hour

Therefore, the video is 252 seconds or 0.07 hour long.

5 0

3 years ago

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ALGEBRA 1 HELP!! Andrea buys 4 bags of granola and 3 bags of dried fruit. She spends $51.50. Carter buys 2 bags of granola and 4

timurjin [86]

Answer:

Granola is $6.95/bag and Dried Fruit is $7.90/bag.

Step-by-step explanation:

Let G and F stand for the cost of 1 bag Granola and 1 bag dried Fruit.

We learn that Andrea's total was $51.50. Her purchase can be written as the sum of the cost of 4 bags granola (4G) and 3 bags fruit (3F):

4G + 3F = $51.50

We can do the same for Carter:

2G + 4F = $45.50

We have two equations and two unknowns, so we should be able to solve for both unknowns. To do this, we need to find a way to eliminate one of the unknows in a single equation. Let's rearrange Carter's equation to isolate G on one side:

2G + 4F = $45.50

2G = $45.50 - 4F

G = ($45.50 - 4F)/2

Now use this expression for G in Andrea's equation:

4G + 3F = $51.50

4(($45.50 - 4F)/2) + 3F = $51.50

2($45.50 - 4F) + 3F = $51.50

($91.00 - 8F) + 3F = $51.50

-5F = - $39.5

F = $7.90 One bag of dried fruit is $7.90.

Now use this value for F in either equation for find G:

2G = $45.50 - 4F

2G = $45.50 - 4($7.90)

2G = $13.90

G = $6.95 One bag of granola is $6.95

---------------

Check to see if these values work:

Andrea:

4G + 3F = $51.50 :

4($6.95) + 3($7.90) = $51.50 ?

$51.50 = $51.50 YES

Carter:

2G + 4F = $45.50

2($6.95) + 4($7.90) = $45.50 ?

$45.50 = $45.50 YES

4 0

2 years ago

What is the percentage discount when a stereo is reduced from $258 to $199?

worty [1.4K]

Answer:

22.9%

Step-by-step explanation:

8 0

2 years ago

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Three rectangular prisms have a combined value of 518 cubic feet. Prism A has one-third the volume of Prism B. Prism B+Prism C.

irga5000 [103]

Volume of A = 74 ft3 , Volume of B = 222 ft3 and Volume of C = 222 ft3

8 0

3 years ago

Anya is saving her allowance to purchase a bike.Anya started her savings with $10 and is saving $5 per week.Let y represent the

sergeinik [125]

Answer:

y = 10 + 5x

Step-by-step explanation:

The question seem incomplete as the question requirement is not stated.

However, I'll solve for the equation and also plot the graph that illustrates the equation.

From the question, we have the following.

Base Amount = 10

Additional = 5 (weekly)

Let y represents her savings at any given weeks and x represents the number of weeks

y is calculated using

y = Base Amount + Additional * weeks

y = 10 + 5 * x

y = 10 + 5x

Next, it to plot the graph.

Take x = 0

y = 10 + 5 * 0

y = 10 + 0

y = 10

Take x = 3

y = 10 + 5 * 3

y = 10 + 15

y = 25

So, the graph must pass through

(0,10) and (3,25)

See attachment for graph.

3 0

2 years ago