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qaws [65]
3 years ago
5

An emperor penguin made 460 dives in 12 hours. At this rate, how many dives did the penguin make in 3 hours?

Mathematics
2 answers:
Reil [10]3 years ago
7 0
This question is ratio based.
So 460:12
        ? : 3
To get from 12 to 3, you divide by 4 (3 is 1/4 of 12)
So...
Divide 460 by 4 too
460/4 = 115 dives in 3 hours
Elenna [48]3 years ago
4 0
Proportionality, assuming constant rate. 460 dives/12 hours = x dives/3 hours. Solve for x.
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Scores on a national math test are Normally distributed, with a mean score of 490 and a standard deviation of 50. Which test sco
alisha [4.7K]

Answer:

532

Step-by-step explanation:

The score that represents the top 20% = A score = 80%

Z score for 80% percentile = 0.842

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ??

μ is the population mean = 490

and σ is the population standard deviation = 50

Hence:

0.842 = x - 490/50

Cross Multiply

0.842 × 50 = x - 490

x = 0.842 × 50 + 490

x = 42.1 + 490

x = 532.1

Approximately = 532

Therefore, the test score = 532

7 0
3 years ago
Read 2 more answers
Michael breeds chickens and ducks. Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This mont
GenaCL600 [577]
Let the cost of a chicken be x and the cost of a duck, y, then

50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)

(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)

(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8

From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5

Therefore, the price of a chicken is $8 and the price of a duck is $5.
4 0
3 years ago
You put $400 in an account. The account earns $18 simple interest in nine months. What is the annual interest rate
chubhunter [2.5K]

Answer:

6%

Step-by-step explanation:

Simple Interest formula:

S.I=P×R×T/100

where

S.I is simple interest

P is principle amount

R is Annual interest rate

T is time period

[usually represented as (number of months)/12]

so

$18=$400×R/100×9/12

simplify

$18=$3600R/1200

$18=$3R

so R=$18/$3

=6

Therefore,

The Annual Interest Rate is 6%

7 0
2 years ago
Graph the inequality x>-8 using the steps
Yuki888 [10]
Hey!


Your point on the graph would be ( -8, 0 ).

We shade the right side of the graph because the inequality shows that x is greater than -8.

*SEE THE GRAPH BELOW*

Hope this helps!


- Lindsey Frazier ♥

3 0
3 years ago
What is the total value in cents of x quarters, y nickels, and z pennies?
lesya692 [45]

Answer:

25x + 5y + z cents

Step-by-step explanation:

1 quarter is worth 25 cents.

1 nickel is worth 5 cents.

1 penny is worth 1 cent.

Therefore, x quarters, y nickels and x pennies will be worth:

(x * 25) + (y * 5) + (z * 1)

= 25x + 5y + z cents

4 0
3 years ago
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