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3x / y = 12 + 4z ..multiply both sides by y
3x = y(12 + 4z)
3x = 12y + 4yz...now divide both sides by 3
x = (12y + 4yz) / 3 <=== answer is B
Related Questions
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 traffic cone is 19 inches tall and has a radius of 5 inches. find the lateral area
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write 1.25 in expanded form
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1 + 0.2 + 0.05
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.
Number 3 and how you got the answer
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Nice work on getting the correct steps and final answer.
complete the paragraph proof given: <1 and <2 are supplementary and <2 and <3 are supplementary Prove: <1 is congruent to <3
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Angles <1 and <3 are proven to be congruent because they are both supplementary to the same angle <2, thus having the same measure as per the transitive property of equality.
When given that <1 and <2 are supplementary and that <2 and <3 are supplementary, we can prove that <1 is congruent to <3 through a series of logical steps. By definition, supplementary angles add up to 180 degrees. Therefore, if <1 and <2 are supplementary, we can write this as: m<1 + m<2 = 180 degrees (1). Similarly, if <2 and <3 are supplementary, that looks like: m<2 + m<3 = 180 degrees (2). By transposing m<2 from equation (1) to (2), we get m<1 = m<3, which implies that <1 is congruent to <3, as they have the same measure. This reflects the transitive property of equality where if a = b and b = c, then a = c. This conclusion demonstrates the Theorem 12, which states that if two angles are congruent to each other, their supplementary angles are also congruent.
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
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.
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
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]
ben is making a dessert that requires 2.5 pound of strawberries and 1.5 pounds of blueberries. The straw berries cost $1 less per pound. Ben paid a total of $9.50 on the fruit what was the price per pound of each fruit?
Answers
x = y - 1
2.5(y - 1) + 1.5y = 9.50
2.5y - 2.5 + 1.5y = 9.50
2.5y + 1.5y = 9.50 + 2.50
4y = 12
y = 12/4
y = 3 <== blueberries cost $ 3 per lb
x = y - 1
x = 3 - 1
x = 2 <== strawberries cost $ 2 per lb
George is driving at an average speed of 62 miles per hour. Write an expression that would give his distance traveled for h hours. Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.
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3 186 mi
5.5 341 mi
7 434 mi
8.8 545.6 mi
Answer:
Given : George is driving at an average speed of 62 miles per hour.
To Find : Write an expression that would give his distance traveled for h hours.
Solution:
Speed = 62 miles/hour
Time = h hours
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 62h[/tex]
So, an expression that would give his distance traveled for h hours is [tex]Distance = 62h[/tex]
Now we are supposed to Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.
So, At h = 3
[tex]Distance = 62(3)[/tex]
[tex]Distance = 186[/tex]
So, At h = 5.5
[tex]Distance = 62(5.5)[/tex]
[tex]Distance = 341[/tex]
So, At h = 7
[tex]Distance = 62(7)[/tex]
[tex]Distance =434[/tex]
So, At h = 8.5
[tex]Distance = 62(8.5)[/tex]
[tex]Distance =527[/tex]
So, Table :
Hours Distance (miles)
3 186
5.5 341
7 434
8.5 527
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
Answers
what is the simplified form of each expression (3/4)^5
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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
The area of a square is 121 square inches.Find the perimeter
Answers
Hope this helped!
And the length = length.
So to find one side, just find the square root of 121.
The square root of 121 is 11.
So one side = 11.
Since there are four sides in a square,
11 * 4 = 44
So the perimeter is 44 inches.
How would I write 4/m/12 ?? (4 divided by m divided by 12)
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4/m / 12
4/m * 1/12
4/12m
1/3m
Hope this helps!
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
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
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:)
660 is 10 times as much as 600 true or false
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how many rainbow six events has there been since beta?
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If the greatest value of n is 9, which inequality best shows all the possible values of n?
n ≤ 9
n ≥ 9
n < 9
n > 9
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Answer:
The answer is n with the less than sign with it underlined and then 9 on the left side
Step-by-step explanation:
The reason why it is the less than sign with it underlined is because the problem says the greatest value and that sign mean at most which is also the greatest.
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
How does estimation help you place the decimal Point in a product correctly
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Then you move the decimal don that very spot.
Estimation helps to place the decimal point in a product correctly by counting the numbers of figures after the decimal points prior to finding the product, then shifting the decimal point from the back to the front in the order with which you've earlier counted it after the finding the product.
Estimation is used to approximate a large number of a particular number to its nearest whole number or significant figures.
The use of decimal points in estimation helps to separate the fractional part from the whole number.
For example, if we want to find the product of 4.23 and 2.1, we have three numbers altogether after the decimal point.
So;
4.23
× 2.1
4 2 3
8 4 6
8 8 8 3
So, starting from the back to the front, we will shift the decimal point in three places. Then the product of 4.23 and 2.1 is 8.883
Therefore, we can conclude that we've fully understood how estimation help you place the decimal Point in a product correctly.
Learn more about estimation here;
https://brainly.com/question/16099852?referrer=searchResults
Sale price is $75 it was 20% off what was the original price
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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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4k-(2k-6) simplify the expression
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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