MATHEMATICS MIDDLE SCHOOL

How do movable pulleys make it easier to lift an object

Answers

Answer 1
Answer: They decrease the workload by decreasing the amount of energy necessary to lift said object.
Answer 2
Answer: They decreased the work load by decreasing

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Carlos bought 1 pound of carrots how many ounces of carrots did he buy

Answers

There are 16 ounces per lb and since he only has 1 lb, then
16 × 1 = 16 ounces
16 OZ, since one pound equals 16 ounces

In the equation x-4y=2, for what value of x will y=0?

Answers

Put\ the\ value\ of\ y=0\ to\ the\ equation\ x-4y=2:\n\nx-4(0)=2\n\nx-0=2\n\n\boxed{x=2}

$126 to $150 find the percent change

Answers

Initial cost = $126
Final cost = $150
Then
Amount of change = (150 - 126) dollars
                               = 24 dollars
Then
Percentage change = (24/126) * 100
                                 = 2400/126 percent
                                 = 19.05 percent
So from the above deduction we can easily conclude that the percentage change is 19.05%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.
$150 - $126= $24

$24/ $126* (100/100)= 19.05%

The percent change is 19.05%.

The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder? A) 0.26 cubic inches B) 0.52 cubic inches C) 0.79 cubic inches D) 2.66 cubic inches

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

(2)/(2)=1\ in.

But according to question, it is cut 0.25 inches from the base  and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the  formula for "Volume of cylinder ":

Volume=\pi r^2h\n\nVolume=(22)/(7)* 1* 1* 0.25\n\nVolume=0.785\ in^3\n\nVolume=0.79\ in^3

Hence, Option 'C' is correct.

–0.8b2+7.4b+(5.6b–0.2b2)

Answers

In this question, you would be combining like terms

Solve by combining like terms:

-0.8b²+7.4b+(5.6b-0.2b²)

This is the same as:

-0.8b² + 7.4b + 5.6b - 0.2b²

Solve:

-0.8b² + 7.4b + 5.6b - 0.2b²

-1b² + 7.4b + 5.6b

-1b² + 13b

Answer:

-1b² + 13b

Answer:

Simplify the expression.

−1b^{2}+13b

Step-by-step explanation:

What is the value of h?

Answers

Answer:

x = 5√(2)

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = (1)/(√(2) ), then

cos45° = (adjacent)/(hypotenuse) = (x)/(10) = (1)/(√(2) ) ( cross- multiply )

x × √(2) = 10 ( divide both sides by √(2) )

x = (10)/(√(2) ) × (√(2) )/(√(2) )

  = (10√(2) )/(2) = 5√(2)
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