Answers
Step-by-step explanation:
you don't understand what the multiplication or division with 10 (or a higher power of 10) does ?
or you don't know. what 10² means ?
this means 10 to the power of 2 or 10 squared and is simply 10 multiplied with itself 2 times : 10×10.
and 10×10 is ... 100.
as you can imagine, this is not restricted to the number 2 (and 10). "power of" can be any number and just indicates how often the base number is multiplied with itself.
a surcharge case is "power of 0", which is simply 1.
now that we understand that, let's have a quick look at how the numbers we are dealing with (in daily life as well as in class and in science) are actually built :
when I write e.g the number
1234
then this actually means
4×10⁰ + 3×10¹ + 2×10² + 1×10³
when I multiply this now by e.g. 10 this becomes
4×10⁰×10 + 3×10¹×10 + 2×10²×10 + 1×10³×10 =
4×10¹ + 3×10² + 2×10³ + 1×10⁴
as you can see, the previous "single" position 4 now becomes a 40.
and the result looks in short form :
12340
so, a multiplication by 10 adds a 0 at the low end of the number.
a multiplication by 10² or 100 (= 10×10) adds then 2 0s at the low end. and so forth.
a division by 10 does the opposite and removes a 0 at the low end of the number.
but what if we don't have any 0 at this position of the number ? then we enter the system of the decimal point.
because on the right side of the decimal point we continue to countdown the exponent of 10 below 0.
the first position right of the decimal point stands for 10^‐1, the second position for 10^‐2, and so forth. and that is nothing else than tenths, hundredths, thousandths, ...
so, in short, a multiplication by 10 moves the decimal point one position to the right. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the right.
and a division by 10 moves the decimal point one position to the left. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the left too that are then showing up on the right side of the decimal point.
now, I think we covered all the basics and we can look at the question here :
10² × 18.72
10² = 100 = 10×10
so, we are multiplying twice by 10 and move the decimal point therefore 2 positions to the right.
the result is then
1872
as a little guide : when it is clear that the number has to get bigger by the operation (like a multiplication by 10 or 100), you need to move the decimal point in the direction that makes the number bigger (which is to the right).
and if the operation is clearly trying to make the number smaller, then you have to move the decimal point in the direction to make the number smaller (to the left).
Related Questions
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answers
Answer:
y=12x+51
Step-by-step explanation:
A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?
Answers
Answer:
3 is 37.5% of 8 so the answer is about 37%
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
Three male and five female.
So, we need to find out the mall.
We can divide this out of 8.
3/8 and 5/8.
Male - 37.5%
Female - 62.5%
I am a decimal number between 0.3 and 0.5. The digit in my hundredths place is 5 greaterthan the digit in tenths place, if the number in tenths place is 4 what will be the number?
Answers
Answer:
0.4
Step-by-step explanation:
it's between 0.3 and 0.5 and the number in tenth is 4 so the answer is 0.4
WILL GIVE BRAILIEST, HELP! :(
Land in Wisconsin is for sale to property investors. A 232 acre lot is listed for sale for 200,500, assuming the same price what size lot could you purchase at 100,000?
-120 acres
-182.9 acres
-115.72 acres
-120.71 acres
Answers
Answer:
115.72 acres
Step-by-step explanation:
232/200,500 = 0.001157
100,000*0.001157 = 115.7 acres
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answers
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
what is -18 1/2 plus 27 3/5?
Answers
Step-by-step explanation:
so if I did it wrong
(5x-3=3x+29 )what is the value of X?
Answers
Answer: x=16
Step-by-step explanation:
Move the variable to the left-hand side and change its sign
5 x - 3- 3 x =29
Move the constant to the right-hand side and change its sign
5 x - 3 x = 29 + 3
Collect like terms
2 x = 29+ 3
Add the numbers
2x= 32
Divide both sides by 2
and you get x=16
Step-by-step explanation:
5x - 3 = 3x + 29
5x - 3x = 29 + 3
2x = 32
x = 32/2 = 16
x = 16 ans
therefore, value of x is 16.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
1 + 1 PLEASE HELP AN EXPERT CANT EVEN ANSWER THIS
Answers
Answer:
1+1=2!!!!!!!!
YAY HAHAHAHAHAHA
50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answers
Answer:
A(-3,2)B(3,7) and C(4,-4)
Step-by-step explanation:
these are the new coordinate
(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.
Answers
Using a system of equations, it is found that the simplified equation is y = 6x - 5.
Ada is x years old.Bill is y years old.Last year, Ada was x - 1 years old and Bill was y - 1 years old.
Bill was 6 times as old as Ada, hence:
[tex]y - 1 = 6(x - 1)[/tex]
[tex]y - 1 = 6x - 6[/tex]
[tex]y = 6x - 6 + 1[/tex]
[tex]y = 6x - 5[/tex]
The simplified equation is y = 6x - 5.
For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803
find the length of x in the figure below. round your answer to 3 significant figure
Answers
Answer:
where is the figure? or tell us the area and width of the figure
Help very quick ! thank youuuuuuuuuuuuuu
Answers
hope this helps
She spent 2 hours and 45 minutes.
HELP!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: A
Step-by-step explanation:
The easiest way to solve this would be to convert everything into a fraction.
9.5, 9 3/8, 9.125, 9 3/4
=
9 4/8, 9 3/8, 9 1/8, 9 6/8
So from greatest to least,
9 3/4, 9.5, 9 3/8, 9.125
So, A
Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )
Step-by-step explanation:
From greatest to least.
1) 9 3/4 = 9.75
2) 9.5 = 9.50 ( 9 1/2)
3) 9 3/8 = 9.37
4) 9.125 = 9.12 ( 9 1/8)
Find the cost per roll if a bag of five lunch rolls is $2.50.
Answers
*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answers
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase
Answers
Answer:
1.26 is the single decimal multiplier
Step-by-step explanation:
Answer:
Answer: 1.26 is the single decimal multiplier.
Step-by-step explanation:
The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.
Drag the money below to show how much each friend will get.
Answers
Answer:
Each friend gets $20.25
So $20.25 each
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)
Answers
Answer:
780
Step-by-step explanation:
divide 4 from 3120 to find how many pop-its are made per hour/ unit rate
3x+2x=20. What is the answer dor this equation.
Answers
Divide 5 by each side
x=4
can someone pls help me
Answers
Answer:
The independent variable is the week's, the dependent variable is the height in inches.
Step-by-step explanation:
The independent variable is the variable that when changed, something changes because of it. So for example, for plant A, in 2 weeks (independent) thevplant will grow 2 inches (dependent). The dependent variable is the variable that changes because of the independent.
Extra Information is below
Y-intercept: The y-intercept is when the line crosses with the line when the x-axis is 0. For example, plant B is by 0 weeks, it was 4 inches. The y-intercept will be 4 inches because that is where the plant started before any change in the independent variable.
Slope: Y = mx + b. To get the answer for this equation, you first need to find out the constant, the constant if we're using plant A, is 6. The constant is also the y-intercept. The equation will look like Y = mx + 6. The m is the number that when multiplied with the independent variable, then added with the constant, you get y. The m for plant A is 1, the equation should look like y = 1x + 6. Now change the x with the independent variable in the table. The independent variable is 2, so y = 1(2) + 6, y = 2 + 6, y = 8.
If I saved 100 dollars every week from now until June how much money will I have ?
Answers
Answer:
2800 dollars probably because it's about 28 weeks and 2 days from now to June so if you multiply 100 by 28 the answer is 2800$
Answer:
Now we're the 14th of Nov 2021. The first week of June 2022 is in 28 week from now, so it's 100 dollars x 28 weeks = 2800 dollars
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
Answers
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
Read more: https://brainly.com/question/22851088
I would appreciate if you answered!
Answers
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
-8 less than a number is no more than 12
Answers
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
464.93 to the nearest millions
Answers
Answer:
It can not be rounded to the nearest millionths bc there is not millionths place in the decimal
Step-by-step explanation:
2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp
Answers
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answers
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?
Answers
The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
Find out more information about inequality here:
https://brainly.com/question/20383699
#SPJ2
Factor the expression
n^2-15n+56
Answers
Answer:
(n-8)(n-7) this is the answer I hope it helped you
Answer:
(x - 7)(x - 8)
Step-by-step explanation:
Factor this into the form:
(x +/- a)(x +/- b)
As the third term is a positive and the second is negative, we know that the two operators are subtract:
(x - a)(x - b)
Find the factors of 56:
1 56
2 28
4 14
7 8
The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:
(x - 7)(x - 8)
Hope this helps!
Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records their temperature using a digital thermometer. what type of test would they conduct to test this claim?
Answers
Answer:
I think its one mean, if it's not I'm very sorry
In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.
What's Test Statistic?A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.
Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.
A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.
The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.
Learn more about test statistic here:
brainly.com/question/16695849
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