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Zielflug [23.3K]
3 years ago
6

A proportional relationship betweeof potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the

graphed line.
Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price.

Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words.)
Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0
4/3 = 1/x.....4 lbs potatoes to $3 = 1 lb of potatoes to $x
cross multiply
(4)(x) = (3)(1)
4x = 3
x = 3/4
x = 0.75....so 1 lb of potatoes cost 75 cents


(8,6)...this means 8 lbs of potatoes cost $6
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A tank holds 50 gal of water, which drains from a leak at the bottom, causing the tank to empty in 20 min. The tank drains faste
kirza4 [7]

Answer:

(a) V(0) = 50 gal, V(20) = 0 gal

(b)At t= 0 the tank is full.

At t=0 the tank is empty

(c)

Time       volume

 0               50 gal

 5                37.5 gal

 10              25 gal

 15             12.5 gal

20                0 gal

(d)

Net change of volume = 50 gal

Step-by-step explanation:

Given that the capacity of the tank is 50 gal.

Torricelli's Law gives the volume of water remaining in the tank after t minutes as

V(t)=50(1-\frac{t}{20})^2

(a)

To find V(0), we put t = 0 in the above equation

V(0)=50(1-\frac{0}{20})^2

        =50(1-0)^2

        = 50 gal

To find V(20), we put t =2 0 in the above equation

V(20)=50(1-\frac{20}{20})^2

        =50(1-1)^2

        = 0 gal

(b)

At t= 0 the tank is full.

At t=0 the tank is empty.

(c)

Time                                          V(t)

  0                                  50(1-\frac{0}{20})^2=50 \ gal

  5                                  50(1-\frac{5}{20})^2=37.5 \ gal

 10                                  50(1-\frac{10}{20})^2=25 \ gal

 15                                 50(1-\frac{15}{20})^2=12.5 \ gal

 20                                50(1-\frac{20}{20})^2=0

(d)

Net change of volume = V(0) -V(20)

                                     =(50-0) gal

                                    = 50 gal

3 0
3 years ago
Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675
kvv77 [185]

Answer:

Part a)

Mean: 13155.6

Mode:None

Median: 12700

Step-by-step explanation:

12700 : 1

15478: 2

12675: 3

11850: 4

13075: 5

Mean :  

=\frac{Sum of all values}{Total no. of values} \\=\frac{12700 + 15478 + 12675 + 11850 + 13075}{5}\\=\frac{65778}{5}\\= 13155.6

Mode:

All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.

Median:

Arrange the values in ascending order:

11850 , 12675, 12700, 12075, 15478

The mid value is median: 12700


Part b)

It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.

The reason is that there is a potential outlier in the data  i.e 15478. In case of outlier median tends to give better predictions.

6 0
3 years ago
One hundred times the quantity seven plus two
Mandarinka [93]

"seven" means ' 7 '

"two" means ' 2 '

"the quantity seven plus two" means  ' (7 + 2) '

"one hundred times the quantity ..." means  ' <em>100 (7 + 2)</em> ' 
That's the expression.

One of the rules for handling these things is that you should always
take care of anything inside parentheses first.  So do that.

         (7 + 2)  =  9

Now you can can write the expression like this:    ' 100 (9) ' .

That's just  <em>900 .

</em>
8 0
4 years ago
A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for Pi.
LenaWriter [7]

Answer:

18.84 ft

Step-by-step explanation:

2*3.14*3=18.84 ft

7 0
3 years ago
A store has two different brands of laundry detergent. Brand A can do 105 loads of laundry and costs $21.99. Brand B does 80 loa
coldgirl [10]

Answer:

B. Brand A $0.21

Step-by-step explanation:

                                    (round to nearest cent)

Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)

Brand B: 17.99/80 = .2248 = .22    ( .2248 rounds to .22)

Therefore Brand A is a better buy for $0.21 per load

3 0
3 years ago
Read 2 more answers
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