Mathematics Middle School



What is 8.61×10−8 in decimal form?

0.000000861
0.0000000861
8,610,000
861,000,000

Answers

Answer 1
Is  10 to -8 power? Or not




Related Questions

The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.

Answers

Hi!

240*.75 = 180
180*.9 = 162

$162

Hope this helps!

 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?

Answers

I think the answer would be $3.06.

Answer:

3.06

Step-by-step explanation:

   

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?

Answers

x represents the amount of hours
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

You put $550 in an account that earns 4.4% simple interest per year how much interest do you earn in six months

Answers

I=PRT
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

Number 3 and how you got the answer

Answers

You have the correct steps and final answer. The area of the room is 196 square feet, so each side is sqrt(196) = 14. The perimeter is 14*4 = 56 feet. You'll need 6 boards (each 10 ft long) to get 60 ft total. You'll have 60-56 = 4 ft of board left over. This is assuming that there isn't any other type of waste or mistakes made in cutting. 

Nice work on getting the correct steps and final answer.

4k-(2k-6) simplify the expression

Answers

Hope this helps you out . Of solving for k then just set it equal to zero

What's twenty and fifteen thousandths in standard form HELP PLSSSSS

Answers

20.015

Because there are 3 numbers before a thousand so 3 numbers behind the decimal are the thousandths.

Sale price is $75 it was 20% off what was the original price

Answers

Since it was 20% off, 75% is 80% (100-20) of something. We then want to find 10%, and multiply that by 10 to find the original price. Since 10% is 1/8th of 80, we divide 75 by 8 to get 9.375. Multiply that by 10 to get 93.75 dollars, the original price

Solve the equation for Y 13x+y=4

Answers

Simplify 13x13x.
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
If you're solving for y, you isolate it:

13x + y = 4

y = 4 - 13x

OR IN SLOPE FORM

y = -13x + 4


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.

Answers

To find Ashley's rate of speed in miles per hour, you will use the formula

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.

8x(30+2)=(8x_____)+(8x2) what is the missing number

Answers

30 is the missing number
30 would be the correct answer

47,57,66,74,81,87,92 what is the pattern

Answers

The next numbers are 
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.

#SPJ2

square root of 12 is between

Answers

Since the whole squares that are surrounding 12 are 9 and 16, and their square roots are 3 and 4, we know that the square root of 12 must be in between 3 and 4.

Convert -3.7 (with a line over the 7)to a mixed number

Answers

The answer is -3 7/9.

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

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.

Answers

https://brainly.com/question/5027087

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]

2/3x + 1/6 = -3/4 x + 1

Answers

Multiply all terms by 12/1 to get rid of fractions.
8x+2= -9x+12

Add 9x to both sides
17x+2=12

Subtract 2 from both sides
17x=10

Divide both sides by 17
x=10/17

Final answer: x=10/17

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

Answers

Hollis travels 0.05 miles per minute faster than Charmaine. First, convert to the same units for both Hollis and Charmaine. So Hollis takes 18.5 minutes and Charmaine takes 0.5*60 = 30 minutes. Both girls travel 2.4 miles, so calculate how many miles per minute each takes Hollis = 2.4 / 18.5 = 0.13 miles per minute. Charmaine = 2.4 / 30 = 0.08 miles per minute. Finally determine the difference in speed between the two girls. 0.13 - 0.08 = 0.05 miles per minute.

how to solve this question


b/5-1=10

Answers

Our goal is to isolate the variable, which is b. What you do to one side must also be done to the other side since we need to maintain equality.

Add 1 to both sides
b/5=11

Then multiply both sides by 5
b=55

Final answer: b=55

Someone please help me with my long division homework in return I will answer Spanish questions

Answers

the answer is 345 :) hope this helps u
8 goes into 27 (3 times).
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

write 1.25 in expanded form

Answers

1. 25 in expanded form is this:
1 + 0.2 + 0.05

What's the answer to 2+{8-2[32+5(1+2)]}

Answers

2+{8-2[32+5(1+2)]}
2+{8-2[32+5(3)]}
2+{8-2[32+15]}
2+{8-2[47]}
2+{8-94}
2+{-86}
-84

All info in attachment. Please help! Thanks :)

Answers

Since K is in the interior of the angle, this means we can use the angle addition postulate. 

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.

What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?

The equation of the line in slope-intercept form is y = x +

Answers

y = x + 10 has slope = 1
perpendicular lines, slope is opposite and reciprocal
so perpendicular line slope = -1
passes through the point (15, –5)
y = mx + b 
-5 = -1(15) + b
b = -5 + 15
b = 10 
y -intercept : 10

The equation of the line in slope-intercept form is y = -x + 10

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

Answers

If a 1m beam supports x amount of weight, then if 1m=x we can multiply both sides by 2 to get 2m=2x=410. To find x, we simply divide all sides by 2 to get 1m=x=205

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 ?

Answers

188.8 meters because you have to add 103.2+85.6 = 188.8 meters
Final answer:

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.

How many solutions does this equation have 3(x+11) = 6(x+ 33)

Answers

divide both sides by 3

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.

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

Answers

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

A car is changing speed from 11 m/s to 26 m/s in a time interval of 3.0 s.

What is the acceleration of the car?
Answer Options with 4 options
A. 0.2 m/s,superscript,2,baseline,
B. 3.4 m/s,superscript,2,baseline,
C. 5.0 m/s,superscript,2,baseline,
D. 8.7 m/s,superscript,2,baseline,

Answers

You can use the acceleration equation
(11 - 26)/ (3.0) = 5.0

What are 5 numbers that have 5, 11, and 2 as prime factors

Answers

110, 220, 330, 440, 550

hope this helps

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?

Answers

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


Add all the numbers up which equals up to 11.96. Then divide 11.96 into 4. it equals 2.99 so each friend is gonna pay 2.99
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