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frez [133]
3 years ago
7

Help! What is 80% of $125???

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0
.8x125=100 your answer is 100

Nataly_w [17]3 years ago
7 0
I hope this helps you

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Jack has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack c
Andrew [12]

Answer:

54 foot long pieces

Step-by-step explanation:

Jack has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create? Come up with two different strategies for solving. (1 yd = 3 ft)

Step 1

Convert yards to foot

1 yd = 3 ft

18 yards = x

Cross Multiply

x = 18 × 3 ft

= 54 ft

Step 2

He wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create?

This is calculated as:

1 foot = 1 piece.

54 feet = x

x = 54 × 1 piece

x = 54 pieces

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2 years ago
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Katyanochek1 [597]

Answer:

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jarptica [38.1K]

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4 0
3 years ago
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m high
Agata [3.3K]

Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

Thus;

x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

We are given that the dock is 1 meter above the bow. Thus, x = 1

Also, the height is not changing and so dx/dt = 0

We are told the dock is 5 feet away from the boat. Thus, y = 5

dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.

Thus;

z = √(1² + 5²)

z = √26

We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1

Plugging all relevant values into the differentiation equation above gives;

2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)

10(dy/dt) = 2√26

Divide both sides by 10 to get:

dy/dt = (√26)/5

dy/dt = 1.02 m/s

5 0
3 years ago
Rearrange The numbers below so that they are listed in numerical order from least to greatest 34.039, 32.94, 34.198 , 32. 102 ,
denis-greek [22]
32.102, 32.94, 33.6, 34.039, 34.198

8 0
3 years ago
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