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Evgesh-ka [11]
2 years ago
14

Freddy the frog is climbing up a well. Every day he climbs up 3 m but some nights he falls asleep and slips back 4m at the start

of the 16th day he has climbed a total of 29 m. On how many nights was he asleep?
Mathematics
1 answer:
Anarel [89]2 years ago
7 0

Answer: The frog fell asleep for 4 nights.

Step-by-step explanation: First, he climbs up 3m every night. there are 16 nights before he gets to 29m. He has not climbed up for the 16th day so 15*3= 45. 45-29= 16. 16/4=4. The frog slept for 4 nights.

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Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
MakcuM [25]

Answer:

The cost is $9.70 per kilogram.

Step-by-step explanation:

This can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:

1 pound - xkg

2.2 pound - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45kg

Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?

$4.40 - 0.45kg

$x - 1kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The cost is $9.70 per kilogram.

6 0
2 years ago
What is the answer to 13p12=
tiny-mole [99]

Answer:

156p

Step-by-step explanation:

13p×12

multiply the numbers

= 156p

8 0
2 years ago
Read 2 more answers
Bilal's fishing line was on a spool with a radius of 4 \text{ cm}4 cm4, start text, space, c, m, end text. Suddenly, a fish pull
Fantom [35]

Answer:

The distance the fish pulled the fishing line is <u>401.92 cm.</u>

Step-by-step explanation:

Given:

Radius of fishing spool = 4 cm.

Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.

Now, to find the distance the fish pulled the fishing line.

So, to get the circumference of the spool first we put formula:

Radius(r) = 4 cm.

Value of π = 3.14.

Circumference = 2\pi r

Circumference=2\times 3.14\times 4

Circumference=25.12\ cm.

<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>

Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:

16\times 25.12\\\\=401.92\ cm.

Therefore, the distance the fish pulled the fishing line is 401.92 cm.

3 0
2 years ago
10 times as many as 1 ten is ______ tens.
anyanavicka [17]
Same 10 tens I guess
5 0
2 years ago
The difference between 907 sixteens and 856 twelves=
Stella [2.4K]
(856/12) - (907/16) = 14.645833


So the difference is, 14.645833.
6 0
2 years ago
Read 2 more answers
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