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Sunny_sXe [5.5K]

2 years ago

14

Benjamin finished his triathlon in 12.44 hours. During the race, he drank 460.28 fluid ounces of liquid. How many fluid ounces d

id he drink per hour?

1 answer:

Yakvenalex [24]2 years ago

7 0

So 12.44 hours=460.28 oz

divide
so
oz/hour means hour=1 so divide
460.28/12.44=37/1

the answer is 36 fluid ounces per hour

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three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of

Alecsey [184]

Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for. Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2 (common difference is positive)

Therefore the three numbers of the AP are
{7-2,7,7+2}, or
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2 years ago

Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate.

tiny-mole [99]

Answer:

<u>The system of equation that models the situation is:</u>

<u>w = 4c</u>

<u>w + c = 100</u>

<u>And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Owen wants to make 100 quarts of lemonade

Number of quarts of water 4 times the number of quarts of concentrate

2. Which of the following systems of equations models this situation?

c = number of quarts of concentrate

w = number of quarts of water

Like the alternatives of systems of equations that model the situation were not given, let's write them by ourselves, this way:

w = 4c (Number of quarts of water 4 times the number of quarts of concentrate)

w + c = 100 (Owen wants to make 100 quarts of lemonade)

Now, let's solve for c and w, this way:

w = 100 - c

Substituting w in the first equation, we have:

100 - c = 4c

100 = 5c

c = 20 ⇒ 4c = 20 * 4 = 80

w = 4 * 20

w = 80

<u>The system of equation that models the situation is:</u>

<u>w = 4c</u>

<u>w + c = 100</u>

<u>And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.</u>

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2 years ago

Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compou

AnnZ [28]

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

A = 3000(1 + 0.06/12)^3 × 12

A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

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2 years ago

Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14

Ray Of Light [21]

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

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You will encounter 11 4s.

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2 years ago

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Answer: $\frac{7}{16}hour$

Step-by-step explanation:

You know that the total time was: 7/8 hour

You also know that they spent 1/2 of the time at the beach.

Therefore, to calculate the time Zach and his dog spend at the beach (which you can call x) , you must multiply both fractions (7/8 and 1/2).

Then, you obtain the following result:

$x=\frac{7}{8}hour*\frac{1}{2}\\\\x=\frac{7}{16}hour$

5 0

2 years ago