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zimovet [89]
3 years ago
15

Which reason best describes why you can divide any number by 100 by moving the decimal point two places to the left? dividing a

number by 100 is the same as subtracting the number 100 times. dividing by 100 is the same as removing a zero. moving the decimal point makes the number smaller. moving the decimal point two places to the left makes the number 1/100 of its original value.
Mathematics
2 answers:
QveST [7]3 years ago
7 0

Answer:

Moving the decimal point two places to the left makes the number 1/100 of its original value.

tigry1 [53]3 years ago
6 0

Answer:

Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.

Step-by-step explanation:

<u>Step 1:  Find the answer</u>

I believe that it is the last choice because a number divide by 100 gives 1/100 of the value.

Example:  Find 4 / 100

\frac{4}{100} =  0.04

4*\frac{1}{100}=\frac{4}{100}=0.04

Answer:  Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.

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How much more is 8 1\8 than 4 3\8
Georgia [21]

Answer:

The answer is 3.75, or as a fraction, 15/4.

Step-by-step explanation:

Do 8 and 1/8 minus 4 and 3/8

4 0
3 years ago
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The formula rho equals m over V, where ρ = density, m = mass, and V = volume, is used to calculate density. Solve this formula f
Tpy6a [65]

Answer:

M will equal 8

Step-by-step explanation:

I got it right

6 0
3 years ago
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Find the exact or approximate area of the shaded region
Lana71 [14]

Answer: 18.24 cm^2

Step-by-step explanation:

the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.

1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12

[r^2(3.14)]/4      pi is substituted by 3.14, and the radius is 8.

50.24 is the area of 1/4 of the circle.

2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.

the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two

this means the triangle is 32 cm^2

3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>

7 0
2 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
The output is one more than six times the input. Answer in this form y=mx+b
stepladder [879]
Y= 6x + 1.
6x represents six times, and the +1 is “one more.”
3 0
2 years ago
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