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2 years ago

99×101 has the same value as (99×100)+1 (99×100)-(99×1) (99×100)+(99×1) (99×100)(99×1)

Mathematics

2 answers:

Nuetrik [128]2 years ago

6 0

99 * 101=

99 * (100+1)

= 99 * 100 + 99*1

(99×100)+(99×1)

liberstina [14]2 years ago

4 0

The answer is (99 * 100) + (99 * 1)

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Explain the steps for dividing decimals. Write three or four sentences.

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Move the decimal point in the divisor and dividend.

Turn the divisor (the number you’re dividing by) into a whole number by moving the decimal point all the way to the right. At the same time, move the decimal point in the dividend (the number you’re dividing) the same number of places to the right.

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

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2 years ago

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Solve the simultaneous equation 3x²-xy=0, 2y-5x=1

ratelena [41]

Answer:

(x, y) = (0, 1/2) or (1, 3)

Step-by-step explanation:

The first equation factors as ...

x(3x -y) = 0

This has solutions x=0 and y=3x.

x = 0

Using this in the second equation gives ...

2y -0 = 1

y = 1/2

(x, y) = (0, 1/2) is a solution

y = 3x

Using the expression for y in the second equation, we get ...

2(3x) -5x = 1

x = 1 . . . . . . . . . simplify

y = 3x = 3 . . . . using x=1 in the first equation

(x, y) = (1, 3) is a solution

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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be anything. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.

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2 years ago

An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot

Aleksandr-060686 [28]

Answer:

$P_{bottom}=\frac{1}{4}=0.25$

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4 again), the probability of taking a specific path is the multiplication of the probability of these two steps:

$P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}$