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4 years ago

Isaiah put a 100 gram weight on a pan balance. how many 10 gram weights does he need to balance the scale

Mathematics

1 answer:

erik [133]4 years ago

7 0

Answer=10 10gram weights
10*10grams=100grams
therefore the weight would be even on both sides

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Decompose x^2+4x-3/x-2

mariarad [96]

Answer:

$\dfrac{x^3-2x^2+4x-3}{x-2}$

Step-by-step explanation:

The given equation is :

$x^2+\dfrac{4x-3}{x-2}$

We need to decompose this equation.

We have,

$x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}$

So, $\dfrac{x^3-2x^2+4x-3}{x-2}$ is the decomposed form of the given expression.

5 0

3 years ago

One half of the students in the U.S. walk to school, one fourth of the remainder ride their bikes to school. What fraction of th

solniwko [45]

Answer:

1/4 or 25% of the student population travel by neither method

Step-by-step explanation:

1/2=2/4

1/4+2/4=3/4

1-3/4=1/4

7 0

4 years ago

The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building

lesya692 [45]

Answer:

The correct answer is A) -19 1/2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Alona [7]

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

Speed is what it means. the speed of a change in an object's location in any direction.
Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
Speed is a scalar quantity because it just has a direction and no magnitude.

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

Speed = distance/time

then,

x + y = 26/2

x + y = 13

x = 13 - y

In return trip took him time "6.5 hours",

x - y = 26/6.5

x - y = 4

By substituting the value of "x", we get

13 - y - y = 4

13 - 2y = 4

2y = 13 - 4

2y = 9

y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

x = 13 - a

x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

Learn more about speed

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4 0

1 year ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

Anastasy [175]

Answer: 19.4

Step-by-step explanation:

Given

Profit is given in terms of the selling price

$y=-5x^2+194x-900$

to get the maximum price, differentiate y w.r.t x

$\frac{\mathrm{d} y}{\mathrm{d} x}=-5\times 2x+194$

Put $\frac{\mathrm{d} y}{\mathrm{d} x}=0$ to get maximum value

$10x=194\\x=19.4$

Thus, the company must sell it at 19.4

8 0

3 years ago