How is twelve divided by fifteen equal to eight.
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When dividing numbers, the easiest way is to imagine the values as a fraction, and then reduce that fraction. If it reduces to a core fraction (ones that you should know their decimal value without thinking), then you have your answer.
[tex] \frac{12}{15} = \frac{4}{5} = 0.8 [/tex]
We simplified our fraction by dividing the numerator and denominator by 4, which left us with [tex] \frac{4}{5} [/tex], which we know is equal to 0.8.
You may be confused thinking that 0.8 is the same as 8. 0.8 is actually a tenth of the value of 8. This makes them very different values.
Below, I have also included a picture to help you memorize your common/core fractions. I recommend learning these as they will help you get through all sorts of math, from Geometry to Calculus!
Related Questions
A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meters did he descend ?
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The scuba diver descended 17.6 meters.
Explanation:To find the distance the scuba diver descended, subtract the starting depth from the ending depth. In this case, the starting depth is 85.6 meters below the surface and the ending depth is 103.2 meters below sea level. So, the distance the scuba diver descended is 103.2 - 85.6 = 17.6 meters.
write 1.25 in expanded form
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1 + 0.2 + 0.05
Convert -3.7 (with a line over the 7)to a mixed number
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Here's the pattern that will help you:
1/9= 0.11111...
2/9= 0.22222...
3/9= 0.333....
This patern continues down to 7/9= 0.777... and so on
What are 5 numbers that have 5, 11, and 2 as prime factors
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hope this helps
Number 3 and how you got the answer
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Nice work on getting the correct steps and final answer.
How many solutions does this equation have 3(x+11) = 6(x+ 33)
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expand
subtract x from both sides
simplify 2x + 66 - x to x + 66
subtract 66 from both sides
simplify 11 - 66 to -55
switch sides
x = -55
Answer: this equation 3(x + 11) = 6(x + 33) has only ONE solution and that would be x = -55.
three less than "x" is equal to 13
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The weight that a horizontal beam can support varies as the length of the beam suppose that a 2m beam can support 410kg how many kg can a 1 m beam support
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how many rainbow six events has there been since beta?
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Solve the equation for Y 13x+y=4
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x3+y=4x3+y=4
Since yy does not contain the variable to solve for, move it to the right side of the equation by subtracting yy from both sides.x3=−y+4x3=-y+4Solve for xx.
x=−3y+12
13x + y = 4
y = 4 - 13x
OR IN SLOPE FORM
y = -13x + 4
1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
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peppy pets 15 + 3x
happy hounds 21 + x
15 + 3x = 21 + x
subtract x from both sides
15 + 2x = 21
subtract 15 from both sides
2x = 6
divide each side by 2
x = 3 hours
Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.
The total fee charged by the companies will be the same in 3 hours.
Let's represent the number of hours as :h
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:$15 + $3 x h
15 + 3h ..........Equation 1
Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:$21 + $1 x h
21 + h ..........Equation 1
We equate both equations to each other
Equation 1 = Equation 2
15 + 3h = 21 + h
Collect like terms
3h - h = 21 - 15
2h = 6
Divide both sides by 2
2h/2 = 6/2
h = 3
Therefore, the total fee charged by the companies will be the same in 3 hours.
To learn more, visit the link below:
https://brainly.com/question/19631146
Ashely walks 2 1/2 miles around a lake around three times a week. If Ashley walks around the lake in 3/4 hour,what is her rate of speed? (Hint: Use the formula r= d/t, where the r is rate, d is distance, and t is time.
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Rate = Distance/Time.
First, you should fill in what you know. In this case, you know the distance is 2.5 miles, and the time is 0.75 hours. Now, you simply plug in the known variables to the formula to get Rate = 2.5 miles / 0.75 hours. After dividing, you reach the answer Rate = 3.333333 (or 3 and 1/3) miles/hour.
Sale price is $75 it was 20% off what was the original price
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Hollis and Charmaine are curious about which mode of transportation gets them from their apartment to the mall faster. Hollis takes public transportation and gets to the mall in 18.5 minutes. Charmaine rides her bike and gets to the mall in 0.5 hours. The mall is 2.4 miles away from their apartment. Use the formula for distance traveled, distance=rate⋅time, to find each rate of travel in miles per minute. What is the difference between Hollis' rate of travel on the bus and Charmaine's rate of travel on the bike? In other words, how much faster is it to take the bus in miles per minute? Enter your answer as a decimal, rounded to the nearest hundredth, if necessary, like this: 42.53 50 pts
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The distance between Cameron and jonesville is 80 miles . the scale on the map is 0.75 in : 10 miles . How far apart are the cities on the map
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Answer:
6,751.76 miles
Step-by-step explanation:
Given
distance between Cameron and jonesville = 80 miles
scale on the map is 0.75 inches (10 miles)
To determine the Distance apart of the cities on the map we use a proportion
Therefore
Let x represent the distance apart
0.75 inches/10 miles = 80 miles/ x miles
Cross multiply
0.75x = 80 miles × 10 miles
x = 800 miles/0.75 inches
Convert 0.75 inches to miles = 1.184 × 10-5 mile
Therefore 800miles/1.184 × 10-5 mile
x = 6,751.76 miles
47,57,66,74,81,87,92 what is the pattern
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96, 99, 101
The complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
What is pattern of numbers?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
The given sequence of numbers are 47, 57, 66, 74, 81, 87, 92.
Here, 47+10=57
57+9=66
66+8=74
74+7=81
81+6=87
87+5=92
92+4=96
96+3=99
99+2=101
101+1=102
So, the next 4 terms of the given pattern are 96, 99, 101, 102
Therefore, the complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
Learn more about the pattern here:
https://brainly.com/question/23136125.
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Karen has scored 29, 23, 19, 25, and 25 points in her five basketball games so far. How many points does she need to score in her next game so that her average (mean) is 24 points per game?
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Hope this helped:)
What is 5.8 x 10^6 seconds in minutes?
Just to clarify ^x means exponent.
A. 3.48 x 10^8 minutes
B. 9.67 x 10^4 minutes
C. 9.67 x 10^8 minutes
D. 3.48 x 10^4 minutes
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Answer: here you go (PIC)
ITS Bhope it helps
Answer:
B
Step-by-step explanation:
I took the test and I got it correct
4k-(2k-6) simplify the expression
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On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time.
About how many milliliters of gasoline are burned per minute by commercial airplanes in flight in the United States?
Enter your answer in the box.
1.2 x 10 (to what power) mL
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3.9 x 5.1 = 19.89
10^3 x 10^3 = 10^6
19.89 x 10^6
move decimal point
1.989 x 10^7
What's twenty and fifteen thousandths in standard form HELP PLSSSSS
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Because there are 3 numbers before a thousand so 3 numbers behind the decimal are the thousandths.
You put $550 in an account that earns 4.4% simple interest per year how much interest do you earn in six months
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P=princiapl=amount put in
r=rate in decimal
t=time in years
so
P=550
r=4.4%=0.044
t=6/12=1/2 yr
so
I=(550)(0.044)(1/2)
I=(275)(0.044)
I=12.10
you earn $12.10 interest in 6 months
square root of 12 is between
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Someone please help me with my long division homework in return I will answer Spanish questions
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3 times 8 is 24.
Subtract 24 from 27 is 3.
Bring down the 6 and it makes 36
8 into 36 is 4.
8*4= 32
36-32=4
bring down the 0
it makes 40.
8 into 40 is 5
8*5= 40
40-40=0
there are no remainders
answer is 345
Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.99. If the four friends split up the cost of the snacks equally, how much should each friend pay?
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2.99 because you add the total cost up, which would be 11.96. So then you would divide 11.96 by 2.99 which gives you 2.99
how to solve this question
b/5-1=10
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Add 1 to both sides
b/5=11
Then multiply both sides by 5
b=55
Final answer: b=55
What's the answer to 2+{8-2[32+5(1+2)]}
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2+{8-2[32+5(3)]}
2+{8-2[32+15]}
2+{8-2[47]}
2+{8-94}
2+{-86}
-84
The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
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Answer:
3.06
Step-by-step explanation:
All info in attachment. Please help! Thanks :)
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Angle LMN = (angle LMK) + (Angle KMN)
Angle LMN = (52 degrees) + (12 degrees)
Angle LMN = (52 + 12) degrees
Angle LMN = 64 degrees
See the attached figure for an example of what this could look like.
Unit 1: Scientific Notation Constructed Response Assignment
Number Properties. explanations, according to the Scientific Notation Constructed Response Assignment Rubric. Completely respond to all parts below. When you have finished, submit your completed assignment to the Unit 1: Scientific Notation Constructed Response Assignment folder in your Math OMS course.
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters. The diameter of a human hair is about 0.000025 meters.
Part A (2 points): What is the diameter of a human hair written in scientific notation?
Part B (2 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Part C (2 points): Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work.
Part D (2 points): The smallest known bacteria are from the genus Mycoplasma and can measure as small as 300 nanometers in diameter. Given that 1 meter = 1 x 109 nanometers, what is the diameter of the smallest bacteria, in meters? Give your answer in scientific notation and show your work.
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Let C, S and H be the diameters of cell, sand and hair
Diameter of a cell: [tex] C=1 \cdot 10^{-5}m[/tex]
Diameter of a grain of sand: [tex]S=2 \cdot10^{-4}m[/tex]
Part A:
[tex]H=0.000025=2.5 \cdot 10^{-5}[/tex] meters, because it takes 5 movements right of the decimal dot, until there is only one digit to its left.
Part B:
we are comparing [tex]S=2 \cdot10^{-4} m [/tex] to [tex] C=1 \cdot10^{-5} m [/tex] ,
[tex] \frac{S}{C}= \frac{2 \cdot 10^{-4}}{1 \cdot 10^{-5}}=\frac{20 \cdot 10^{-5}}{1 \cdot 10^{-5}}=20[/tex]
thus S is 20 times larger than C
Part C
[tex]1m=1 \cdot10^9nm[/tex]
thus,
[tex]H=2.5 \cdot 10^{-5}m=2.5 \cdot 10^{-5} \cdot 1 \cdot 10^9nm=2.5 \cdot 10^{-5+9}=2.5\cdot10^4nm[/tex]
Part D.
[tex]1m=1\cdot 10^9nm\\\\1nm=\displaystyle{ \frac{1m}{10^9}=1\cdot 10^{-9}m} [/tex]
thus 300 nm are written in meters as follows:
[tex]300nm= 300\cdot 1\cdot 10^{-9}m=3\cdot 10^2 \cdot 10^{-9}m=3\cdot 10^{-7}m[/tex]