Find a conversion factor between square feet and square yards. Write it in three forms.
Select one:
A. 1 yd^3 = (3 ft)^3 = 27 ft^3
B. 1yd^3 = (3 yd)^3 = 27 yd^3
C. 1 yd^2 = (3 ft)^2 = 9 ft2
5 D. 1ft^2 = (3 yd)^2= 9 yd^2
Answers
By dimensional analysis and the conversion factor between feet and yards, we find that a square yard is equal to a quantity of 3² square yard, that is, a quantity of 9 square feet. (Correct choice: C)
What is the conversion factor between two quantities in area units?
In accordance to dimensional analysis, area units are equal to the square of length units, that is, length unit multiplied by length unit. That is:
[A] = [L] × [L] = [L]²
Where:
L - Length unit
A - Area unit
If a yard is equal to a quantity of three feet, both length units, then a square yard is equal to a quantity of 3² square feet, that is, a quantity of 9 square feet, both area units. Therefore, we can construct the following conversion factor:
1 square yard = (3 feet)² = 9 square feet
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Related Questions
What do you use to isolate a variable
Answers
Answer:
please specify
Step-by-step explanation:
In a network of 30 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 9 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (
Answers
The probability that all 4 computers with the critical file fail in this incident
P(x=4)=0.00085
This is further explained below.
What is the probability that all 4 computers with the critical file fail in this incident?Generally, is mathematically given as
\($H \rightarrow(n, m)$\)
p.d.F. of Hyper Geometric distribution
given, $N=39, n=4, M=8, x=4$
\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)
\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)
In conclusion, P(x=4)=0.00085
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Pls help this is due soon
Answers
Answer:
180⁰ 8. 20⁰ 3. rays and angle
Step-by-step explanation:
need ko po ang sagot
What is the absolute
value for:
|-771
Answers
Answer:
771 is the absolute value of -771.
Step-by-step explanation:
The absolute value is the distance of that number from 0. Therefore, negative or not, the number shown will always be the positive number that it is.
Examples:
|-8| = 8.
|2|=2
|-9912|=9912
|236|=236
Continued explanation:
Because the absolute value is the distance of that number from zero, the value will always be positive. And then the distance is going to be the same number.
I hope this helps!
-No one
6. 53 x 63
Use to partial products
Answers
Answer:
411.39
Step-by-step explanation:
6.53 x 63 = 411.39
Chase and Sara went to the candy store. Chase bought 5 pieces of bobble gum for of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum , g.
Answers
Hope this helps! :)
2/3 of a class are girls. What is the ratio girls to boys in the class? What is the ratio boys to girls in the class?
Answers
Answer:
If a class has 2/3 girls.
Lets ask ourselves, what does this mean?
It means that 2/3 of the class are girls and therefore 1/3 of the class are boys. I.e. for every 2 girls in the class there is 1 boy in the class.
Therefore the ratio of girls to boys is
2 : 1
A floor 10m by 40m is covered by square tiles 20cm. How many tiles are needed to cover the floor?
Answers
Answer:
10,000
Step-by-step explanation:
We can find the area of the floor in cm^2 and divide by the are of 1 tile in cm^2.
1 m = 100 cm
10 m = 1000 cm
40 m = 4000 cm
area of floor = LW = 1000 cm * 4000 cm = 4,000,000 cm^2
area of tile = s^2 = (20 cm)^2 = 400 cm^2
number of tiles = 4,000,000/400 = 10,000
Answer: 10,000 tiles
Move each inequality to the table to match the appropriate situation describing x. HELPP FAST
Answers
Answer:
1. x < 10
2. x ≥ 10
3. x ≤ 10
4. x > 10
Step-by-step explanation:
1. Tiana read a book in less than 10 days.
Let
x = number of days Tiana read her book
x < 10
2. Charlie plans to run at least 10 miles this week
Let
x = number of miles Charlie plans to run
x ≥ 10
Jessica can spend at most 10 dollars on lunch
Let
x = amount of money Jessica can spend on lunch
x ≤ 10
Andre needs to buy more than 10 balloons for the party
Let
x = number of balloons Andre needs to buy
x > 10
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answers
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
5/8 ÷ 3/4
I Need help?
LIKE NOW!!!
Answers
Answer: 5/6
Step-by-step explanation:
5/8 / 3/4
5/8 * 4/3= 20/24
20/24 / 4/4 = 5/6
A car manufacturing firm wishes to introduce a new line of tires into its product range. It costs them $50,000 to introduce the new line, and $1.20 per tire. If they have a budget of $300,000 to introduce the new line, how many tires can they make? Give your answer to the nearest thousand.
Answers
Answer:
208333 tires can be made with a budget of $ 300000.
Step-by-step explanation:
The total budget (\(C\)), in monetary units, is the sum of fixed costs (cost of introducing the new line) (\(C_{o}\)), in monetary units, and variable costs (cost of producing tires) (\(C_{v}\)), in monetary units:
\(C = C_{o} + C_{v}\) (1)
If we know that \(C = \$\,300000\) and \(C_{o} = \$\,50000\), then variable costs are:
\(C_{v} = C-C_{o}\)
\(C_{v} = \$\,300000 -\$\,50000\)
\(C_{v} = \$\,250000\)
And the variable cost can be defined by the following formula:
\(C_{v} = r\cdot n\) (2)
Where:
\(r\) - Production cost of a tire, in monetary units per tire.
\(n\) - Amount of produced tires, in tires.
If we know that \(C_{v} = \$\,250000\) and \(r = \$\,1.20\,\frac{1}{tire}\), then the amount of produced tires:
\(n = \frac{C_{v}}{r}\)
\(n = \frac{\$\,250000}{\$\,1.20\,\frac{1}{tire} }\)
\(n = 208333\,tires\)
208333 tires can be made with a budget of $ 300000.
Answer: 208,000
Step-by-step explanation:
round it to the nearest thousand
Ezra applied the distributive property to the expression 8(y+2) . He then used the commutative property.
correctly complete the statement
After applying the distributive property, Ezra's expression was ________
After he used the commutative property, his expression was __________
answers: 2+8y, 8y+2, 8y+16, 16+8y, 8y + 1 x 2, 8y + 1 x 16
Answers
Answer:
After applying the distributive property, Ezra's expression was 8y + 16
After he used the commutative property, his expression was 16 + 8y
Step-by-step explanation:
Distributive property rule: a(x+y) = ax + ay
Not much to explain here
Commutative property rule: a + b = b + a or xy = yx
We use addition rule in this case, simply place 16 in front of 8y
2. What is the slope of a line that is perpendicular
to y - 4 = (x + 2)
Answers
Answer:
-x?
Explanation:
1. y - 4 = (x + 2) would be y= x+6 in y=mx+b form.
2. I used a graphing calculator and found out that an equation that would be perpendicular to y= x+6 when graphed is y=-x-6.
3. The slope of y=-x-6 is -x.
4. -x
Smokey Joe's charges a $25.00 delivery fee, how will this impact the pricing?
Answers
Answer:
it will increase the total cost price of purchasing the product
Step-by-step explanation:
HELPP!! The transformation functions R, S, T, U, and V are shown below
Answers
Answer:
Point T(x, y) is translated 71 units up and then rotated 180° about the origin
Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.
Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).
If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).
If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).
If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).
If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
Answers
Answer:
\(300\; \rm lb\).
Step-by-step explanation:
Let \(x\) represent the mass (in pounds) of that \(15\%\) copper alloy required, such that the final mixture would contain \(25.5\%\) copper by mass.
Consider: if \(x\) pounds of that \(15\%\) copper alloy is mixed with \(700\) pounds that \(30\%\) copper alloy, what would be the mass of copper in the mixture?
Mass of copper in \(x\) pounds of that \(15\%\) copper alloy: \((0.15\, x)\; \rm lb\).Mass of copper in \(700\) pounds of that \(30\%\) copper alloy: \(700 \times 0.30 = 210\; \rm lb\).Therefore, the mixture would contain \((210 + 0.15\, x) \; \rm lb\) of copper.
The mass of that mixture would be \((700 + x)\; \rm lb\). The mass fraction of copper in that mixture would be:
\(\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%\).
This ratio is supposed to be equal to \(25.5\%\). These two pieces of equations combine to give an equation about \(x\):
\(\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%\).
\(\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255\).
Simplify and solve for \(x\):
\(210 + 0.15\, x= 0.255\, (700 + x)\).
\((0.255 - 0.15)\, x= 210 - 0.255 \times 700\).
\(\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300\).
Therefore, \(300\; \rm lb\) of that \(15\%\) alloy would be required.
Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. Sienna wants to know the probability that at least 2 of the colors will be the same. Which of the following is the best simulation? Explain your reason for your answer.
A. Roll a standard number cube 5 times for each trial. Let each number represent a different color. Run 50 trials and find the fraction of times that at least two of the same number are rolled.
B. Create a spinner with 5 equal sections. Label each section with a different color. Spin the spinner 7 times to see if it lands on the same color two or more times.
C. Create a spinner with 7 equal sections. Label each section with a different color. Spin the spinner 5 times for each trial. Run 50 trials and find the fraction of times the spinner lands on the same color two or more times.
D. Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Answers
The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.
So, the probability of picking any color at random is
P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.
Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:
P(X ≥ 2) = 1 - P(X < 2).
The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.
Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
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Find the length of side a.
Answers
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Find the length of side a.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Okay, so to solve these type of questions we need to use the pythagoras property, which is ⇨ Hypotenuse² = Base² + Altitude².
Here,
Hypotenuse (the longest side) = 5Altitude (height) = 4Base (the bottom line) = aSo, we have to find the base of the triangle .
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
Hypotenuse² = Base² + Altitude²
(5)² = (a)² + (4)²
25 = a² + 16
25 - 16 = a²
9 = a²
√9 = a
3 = a
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
The length of side a is A. 3﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
NOTE :-\(\downarrow\)\(\downarrow\)
We used the pythagoras property to solve this question because the given triangle is a right angled triangle. Note that the pythagoras property only works in the case of right angled triangles.Answer:
The answer is "A" (3)
Hope it helps! be safe and tell me if im wrong! :D
please help!!! thank you!!!
Answers
uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...
9(2n+1) help please brooooooo
Answers
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
A bag contains 3 gold marbles, 8 silver marbles, and 30 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
What is your expected value if you play this game?
Answers
Answer: To calculate the expected value, we need to multiply each possible outcome by its probability and then add up the results.
The probability of selecting a gold marble is 3/41, the probability of selecting a silver marble is 8/41, and the probability of selecting a black marble is 30/41.
The winnings/losses associated with each outcome are $3 for gold, $2 for silver, and -$1 for black.
Step-by-step explanation:
Therefore, the expected value can be calculated as follows:
(3/41) x $3 + (8/41) x $2 + (30/41) x (-$1)
= $0.073
The expected value is $0.073, which means that on average, you can expect to win $0.073 per game if you play this game many times.
Therefore, if you play this game, you can expect to win a small amount of money on average, but it is not a guaranteed win.
References:
Grinstead, C.M. and Snell, J.L. (2006). Introduction to Probability. American Mathematical Society.
"Expected Value," Investopedia, accessed May 14, 2023, https://www.investopedia.com/terms/e/expectedvalue.asp.
The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain
At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?
Show your work in the box below.
Answer _____________ price per gram of gold
Answers
Answer:
THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL
Step-by-step explanation:
bug s is slow and bug f is fast. both bugs start at 0 on a number line and move in the positive direction. the bugs leave 0 at the same time and move at constant speeds. four seconds later, f is at 12 and s is at 8. how many units apart are bugs f and s thirty seconds after leaving point 0.
Answers
After 30 seconds the bugs will be apart by (x -y) = 30 units
What is speed?The speed of an object, aIso known as "v" in everyday speech and kinematics, is a scaIar quantity that measures how much its position changes over time or how much it changes per unit of time.
The distance traveIIed by an object during a time intervaI is equaI to the duration of the intervaI divided by the object's speed, with the instantaneous speed being the upper Iimit of the average speed as the intervaI's duration gets cIoser to zero. VeIocity differs from speed. Distance divided by time is the formuIa for measuring speed. A metre per second (m/s) is the metric unit of speed.
a) The speed of F is 12 units in 4 seconds, or 3 units per second.
x = 3t
The speed of S is 8 units in 4 seconds, or 2 units per second.
y = 2t
b) x-y = 3t -2t = t
After 30 seconds the bugs will be apart by (x -y) = 30 units
c) x - y = 100 = t
The bugs will be 100 units apart after 100 seconds.
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The distance between bug f and bug s after 30 seconds is: distance = 90 - 60 = 30 units.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
When bug s and bug f leave point 0, they are initially at the same location, which is at position 0 on the number line. After four seconds, bug s has traveled a distance of 4v_s units from point 0, and bug f has traveled a distance of 4v_f units from point 0. We know that bug f has traveled 12 units in this time, so:
4v_f = 12
Solving for v_f, we get:
v_f = 3 units per second
Similarly, we know that bug s has traveled a distance of 8 units in four seconds, so:
4v_s = 8
Solving for v_s, we get:
v_s = 2 units per second
Now we can find out how far apart the bugs are after 30 seconds. Bug f has traveled a distance of 30v_f units from point 0, which is:
30v_f = 30 x 3 = 90 units
Similarly, bug s has traveled a distance of 30v_s units from point 0, which is:
30v_s = 30 x 2 = 60 units
Therefore, the distance between bug f and bug s after 30 seconds is:
distance = 90 - 60 = 30 units.
So the bugs are 30 units apart after 30 seconds.
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Find the length of the third side. If necessary, round to the nearest tenth. 8 12
Answers
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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What is the value of the expression 6\ times10+4^36×10+4
3
Answers
The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.
What is the value of the expression 6 × 10 + 4³?It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.
Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;
Since the given expression is;
6 × 10 + 4³
Since the exponent, so that we have;
6 × 10 + 64
Next, solve the multiplication, so that we have;
60 + 64
= 124.
On this note, the value of the expression is; 124.
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plz help me im really getting annoyed
Answers
Answer: 2592 square inches. To find the area, multiply the length and the width together. When a question says ___ by ___, they are saying ____ units long and ____ units wide. Here, 72 by 36 means 72 inches long and 36 inches wide, so multiply those together to get your area.
Answer:
2592 square inches
Step-by-step explanation:
The formula to find the area of something is Length x width so i times the 72 by the 36 and got 2592
The Bainters want to know how much they would pay on their
loan each year as well as how much they would pay on their loan
after 5 years, 10 years, 15 years, and 30 years. They also want to
determine how much they would pay in interest on their loan
when they repay the entire loan.
What are the amounts?
Your answer should include (remember to show or explain your
calculations)
the total amount paid in loan payments after 1 year
the total amount paid in loan payments after 5 years
the total amount paid in loan payments after 10 years
the total amount paid in loan payments after 15 years
the total amount paid in loan payments after 30 years
the total amount of interest paid on the loan when it is
repaid
Answers
The total amounts paid are displayed in the image below:
What is an Interest Rate?The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
How to calculate interest rates
Using S.I:
Simple Interest: The formula for simple interest is I = P x R x T, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.
For example, if you borrow $1,000 at a simple interest rate of 5% per year for 3 years, the interest would be calculated as follows: I = $1,000 x 5% x 3 = $150.
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Can someone help me ?
Answers
Answer:
Write a composition in French about a market day