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xxMikexx [17]
3 years ago
14

Height is a proportional to foot length. A person whose foot length is 10 inches is 67 inches tall. A human-like creature has a

foot length of 25 inches. Use a proportion to find the height of the creature.
Mathematics
1 answer:
padilas [110]3 years ago
8 0
Your answer would be
   <span>h/f = k constant
67/10 = k = 6.7
H/21 = 6.7
H = 6.7 × 21 = 140.7 </span>
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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

1.40x - x = y

0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

6 0
3 years ago
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In e
Helen [10]

Answer:

  (a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

__

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

6 0
2 years ago
Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5%
sergey [27]
<span>You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds. 

Amount collected
= $5,600 * 0.90
= $5,040

Commision
= $5,040 * 0.25
= $1,260

Net Proceeds
= $5,040 - $1,260
= $3,780 </span>
7 0
3 years ago
There are 110 monkeys at the zoo. They each hug every other monkey. How many hugs were there?
Nutka1998 [239]

Answer:

5995 hugs

Step-by-step explanation:

This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:

C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995

So the total number of hugs is 5995

5 0
3 years ago
Read 2 more answers
Which of the following is a feature of a credit card?
vovikov84 [41]
Where’s the following answers to pick from
6 0
3 years ago
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