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anyanavicka [17]
2 years ago
6

Can you predict the outcome of multiplying 750 by 0.1 without calculating

Mathematics
1 answer:
9966 [12]2 years ago
8 0

Answer:

750 × 1/10  = 750/10 = 75

Step-by-step explanation:

The best way to really predict the outcome of multiplying 750 by 0.1 without calculator is firstly, converting the decimal to a fraction to easily do the multiplication in your head.

Since one of the multiplicand is a decimal the products will be much complicated therefore, to convert the decimal number 0.1 to a fraction number we shift the point to the right hand side which simply translate to 1/10.  The trick here is the number of times we shift the point will determine the number of zeros the denominator will possess.  Assuming we have 0.12 as the decimal, it is required we shift the point twice and the resulting value we become 12/100. If the decimal is 0.123 it is required we shift the point 3 times , the resulting value will be 123/1000. Not the number of times we shift the point will determine the number of zero's of the denominator.

Finally, the 2 multiplicands are now 750 and  1/10 which is more easier to manipulate in our head.  

750 × 1/10  = 750/10 = 75( you just cancel the zeros)

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ladessa [460]

The linear equation in standard form is:

6x - 7y = -11

Which is the last option.

<h3>How to get the equation of the line?</h3>

The line in slope-intercept form is written as:

y = a*x + b

We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:

a = \frac{2 - (-1)}{1/2 - (-3)}  = \frac{3}{3.5}  = \frac{6}{7}

Then we can write:

y = (6/7)*x + b

To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:

-1 = (6/7)*-3 + b

-1 + 18/7 = b

-7/7 + 18/7 = b

11/7 = b

Then the equation is:

y = (6/7)*x + 11/7

If we multiply both sides by 7 we get:

7y = 6x + 11

Now we move the term with "x" to the left:

7y - 6x = 11

That is the line in standard form.

If we multiply both sides by -1, we get the last option:

6x - 7y = -11

If you want to learn more about linear equations:

brainly.com/question/1884491

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8 0
2 years ago
Read 2 more answers
Keeping in mind the rules for significant figures, determine how many milliliters there are in 0.073 gallons. 1 gallon = 4 quart
andreev551 [17]

we are given

there are in 0.073 gallons

we can see that there are two non-zero places after decimals

so, there are two siginificant figures

step-1: Change gallons to quarts

we know that

1 gallon = 4 quarts

so, we can write as

0.073gallons=0.073*1gallon

0.073gallons=0.073*4quarts

0.073gallons=0.292quarts

step-2: Change into liter

0.073gallons=0.292quarts

we know that

1 liter = 1.057 quarts

or

1 quart=\frac{1}{1.057} litre

0.073gallons=0.292*1quarts

0.073gallons=0.292*\frac{1}{1.057} litre

0.073gallons=0.27625 litre

step-3: Change into millilitre

we know that

1L=1000mL

0.073gallons=0.27625*1 litre

0.073gallons=0.27625*1000 mL

Since, it is asking for only two significant figures

so, we can also write as

0.073gallons=0.28*1000 mL

0.073gallons=280 mL...................Answer


3 0
3 years ago
Write the ratio 15:25 as a fraction in simplest form
jenyasd209 [6]

Answer:

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Step-by-step explanation:

1st step= find out what is the highest command factor

We know it is 5

So we do 15 divided by 5 which is 3

And 25 divided by 5 which is 5

So the answer is 3:5

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3 years ago
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The original price of a computer was $651. The store reduced the price of the computer by 35%.
NeTakaya

Answer:

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Answer: n=-36

Step-by-step explanation:

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