A rectangular pool in your friend’s yard is 150 ft. × 400 ft. Create a scale drawing with a scale factor of 1 600. Use a table or an equation to show how you computed the scale drawing lengths.
Answers
The scale drawing of the pool should be 3 x 8 inches.
Since a rectangular pool in your friend’s yard is 150 ft. × 400 ft, to create a scale drawing with a scale factor of 1 to 600, the following calculation must be performed:
150/600 = 1/4 = 0.25 400/600 = 2/3 = 0.66 1 foot = 12 inches 12 x 0.25 = 3 12 x 0.666 = 8
Therefore, the scale drawing of the pool should be 3 x 8 inches.
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Related Questions
What is the solution to this system of linear equations?
2x + y = 1
3x - y = -6
A. (-1,3)
B. (1,-1)
C. (2,3)
D. (5,0)
Answers
Answer:
A. (-1 , 3)
Step-by-step explanation:
2x + y = 1
plus 3x - y = -6
------------------------------
5x = -5
x = -1
y = 1 - (2*-1) = 3
What are the coordinates of the point (-9, 4) after a 90 degree rotation followed by a translation 3 units right?
Answers
The coordinates of the point (-9, 4) after a 90 degree rotation followed by a translation 3 units right are (8,9) (for clockwise rotation) and (0,-9) (for counterclockwise rotation)
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 2: If the point is in second quadrant:Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 3: If the point is in third quadrant:Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 4: If the point is in fourth quadrant:Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 5: For points on axesYou can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
Case 6: On originNo effect as we assumed rotation is being with respect to origin.
For this case, the point (-9,4) (present in second quadrant) is rotated by 90 degrees.
This rotation can be either clockwise, or counterclockwise.
Thus, for each case, we have:
case 1: Clockwise rotation:Then (x,y) → (y, -x), therefore, (-9,4) → (4, 9)
case 2: Counterclockwise rotation:Then (x,y) → (-y, x), therefore, (-9,4) → (-4, -9)
Now, when shifting to right by 4, that means, we're making no changes vertically, but old x-coordinates are increased by 4 to make them shift to right side as value of x increases as we go more and more to the right side with respect to the origin and in defaultly oriented cartesian space.
Thus, we have:
case 1: Clockwise rotation:
After translation of 4 units right:
(4, 9) → (4+4, 9) = (8,9)
case 2: Counterclockwise rotation:After translation of 4 units right:
(-4, -9) → (-4+4, -9) = (0,-9)
Thus, the coordinates of the point (-9, 4) after a 90 degree rotation followed by a translation 3 units right are (8,9) (for clockwise rotation) and (0,-9) (for counterclockwise rotation)
Learn more about rotation of a point with respect to origin here:
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Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation
01.d + 0.25q = 12.5.
1. If Jada has 4 quarters, how many dimes does she have?
2. If Jada has 10 quarters, how many dimes does she have?
3. Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.
Answers
1. 115. If q=4, then the equation tells us that 0.1d+(0.25)⋅4=12.5. Subtracting 1 from both sides gives 0.1d=11.5, so d=115.
2. 100. If q=10, then the equation tells us that 0.1d+(0.25)⋅10=12.5. Subtracting 2.5 from both sides gives 0.1d=10, so d=100.
3. Yes. If you know the number of quarters, then you can determine the number of dimes from the equation. We can even write the equation in a way that shows this: d=125−2.5q. The expression 125−2.5qrepresents the output—it is the rule that determines the output d from a given input q.
Answer:
1. 115. If q=4, then the equation tells us that 0.1d+(0.25)⋅4=12.5. Subtracting 1 from both sides gives 0.1d=11.5, so d=115.
2. 100. If q=10, then the equation tells us that 0.1d+(0.25)⋅10=12.5. Subtracting 2.5 from both sides gives 0.1d=10, so d=100.
3. Yes. If you know the number of quarters, then you can determine the number of dimes from the equation. We can even write the equation in a way that shows this: d=125−2.5q. The expression 125−2.5qrepresents the output—it is the rule that determines the output d from a given input q.
A computer salesman gets a commission for each sale he makes. If he makes 1.0% commission on a sale of $2,000, how much commission does he make?
A) $2,020
B) $200
C) 20
D) $2,000
Answers
1% commission=0.01
2000x0.01=200
therefore, B is the correct answer :))
Solve the equation and show all of your steps!
8 + 3x = 14
Answers
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Step-by-step explanation:
This is a linear equation, and we will need to get the variable by itself.
Let's calculate!
[tex]8+3x=14\\3x=14-8\\3x=6[/tex]
Now we divide both sides by 3. Dividing 3 by 3 is just 1, and we don't need to write the 1, and 6 divided by 3 is two! So your equation will look like this:
[tex]3/3x = 6/3\\x=2\\[/tex]
Hope that helps! :)
the speed of light is approximately 3 x 10 to the 8th power meters per second, while the speed of sound is approximately 3.4 meters per second. How many times faster is the speed of light than the speed of sound?
Answers
Answer:
The speed of light is 8.8x10⁵ times faster than the speed of sound.
Step-by-step explanation:
We can find how many times faster (R) is the speed of light than the speed of sound as follows:
[tex] R = \frac{c}{v_{s}} [/tex]
Where:
c: is the speed of light = 3x10⁸ m/s
[tex]v_{s}[/tex]: is the speed of sound = 340 m/s (the value given in the statement, 3.4 m/s, is wrong)
[tex]R = \frac{3 \cdot 10^{8} m/s}{340 m/s} = 8.8 \cdot 10^{5}[/tex]
Hence, the speed of light is 8.8x10⁵ times faster than the speed of sound.
I hope it helps you!
plz plz plz plz help me 20 pt
Answers
Answer:
3 1/4 x 2/3=2.16
Step-by-step explanation:
carl the cannonballer can make the bestest splashes of anyone at the local swimming pool. his splashes are legen...wait for it..dary! carl used to be the splash 40 people with cannon ball but now he has increased the number of people can be splash by 45%. what is the new number of people carl can splash?
A).53 people C).63 people
B).58 people D).68 people
Answers
Answer: is it B.
Explanation:
Select ALL expressions that are equivalent to -6. *
-7 + 13
-10 - (-4)
26 - 32
16 - 10
3 - ( - 3)
Answers
Answer:
The terms equivalent to - 6 are
- 10 - ( - 4)
26 - 32
Answer:
Only the 2nd and 3rd expressions are equal to -6
Step-by-step explanation:
The only way to do this is evaluating ot actually doing each expression:
Some key skills needed are subtraction with negative numbers, distributing the negative properly, and addition.
The first one is -7+13. This can be rewritten as 13-7. And this is 6, so it is not equal to -6. The 2nd one is -10-(-4). You have to distribute that minus sign after the -10 to the -4. Think of the subtraction symbol I mentioned as -1. -1(-4) is 4 since the negative signs cancel out. It would then be -10 + 4 which -6. So this works. This one is 26 - 32. You have to subtraction here. 26 - 32 is the opposite of 32 - 26. 32 - 26 is 6, so 26 - 32 would be -6. So the 3rd one is another one eqial to -6. This is simple subtraction. 16 - 10 is 6, so this one definitely does not work. This uses the same skill as number 2. Think of the minus sign after the positive 3 as a -1. -1(-3) is 3, so it would be 3 + 3 which is 6.Only the 2nd and 3rd ones work. Hope you understood and have a nice day!!
9. Each share of a certain stock lost a total of $1.50 in value over several weeks. Over how many weeks, w, did the stock lose value if each week it lost $0.25 per share? *
Answers
Answer:
Did you ever get the answer?
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
your welcome :) Hope this helps you!
please mark me as brainliest if you can
Giving brainliest please help with math
Answers
Answer:
the many solutions i think
Sorry I do not have time to explain but I will explain later. (If you graph the points while in slope intercept form, it will be easy. That way you can find out where the points intersect and that is your answer)
Hope you have a blessed day! :))
Choose the inequality that represents the following graph. It's On khan academy
Answers
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Thats a closed dot, which means its greater than or equal to
Help ASAP
Which of the following correctly simplifies the expression 2 to the power of 2 multiplied by 6 to the power of 0 whole over 7, the whole cubed.? (5 points)
Question 4 options:
1)
2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 1 cubed over 7 cubed. = 32 over 343.
2)
2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 0 over 7 cubed. = 0
3)
2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 1 cubed over 7 cubed. = 64 over 343.
4)
2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 0 over 7 cubed. = 0
Answers
Answer:
(2^2 * 6^0) / 7)^3 =
(2^6 * 1^3) / 7^3 =
(64 * 1) / 343 =
64/343
Step-by-step explanation:
I hope this helps!
PLLSSSSS HELLLP
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burnt was 0.3 inches per hour instead of 0.5 inches per hour, will the relation continue to be a function? Explain your answer using input and output values. (3 points)
Answers
Answer:
Part A: 0,6 1, 5.5 2,5.0 3,4.5 4,4.0 5,3.5 6,3.0
Step-by-step explanation:
Part B: This would be a function, it has a constant rate of change.
Part C: 0,6 1,5.7 2,5.4 3,5.1 4,4.8 5,4.5 6,4.2, this would still be a function, just at a slower rate of speed.
Pls answer.hurry pls.will give brainlest.Thank you
Answers
Answer first and I will mark brainliest
Answers
Answer:
A 6660 it decreases by 820 so 8,300-820=7480 and then 7480-820=6660
$6,660
Answer: The cost after 7 years should be $5740.
Step-by-step explanation:
If you find the ammoun that the value decreases each year, and multiply that by your 7 years you get your answer.
Joe has a picture that measures 8 centimeters by 12 centimeters. He creates four enlargements of the picture. The
table below shows the width and the length of each enlargement.
What is the constant of proportionality between the width and the length of the pictures?
Answers
Answer:
1.5
Step-by-step explanation:
Because 15 divided by 10 equals 1.5
Please Help !!!!!!!!!!!
Answers
Answer:
its A the cost increases $2.50
Step-by-step explanation:
A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.
Answers
Answer:
60 yards
hope that helps
Step-by-step explanation:
One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters.
What is the length of the hypotenuse? Round to the nearest tenth if necessary.
A ) 2.5 cm
B ) 4.7 cm
C ) 8.9 cm
D ) 6.5 cm
Answers
Answer is 6.5cm
Multiply. Write in simplest form. 1/2 * 24
Multiply. Write in simplest form. 2/13 * 26
Multiply. Write in simplest form. 2/5 * 17
Multiply. Write in simplest form. 18 * 1/4
Multiply. Write in simplest form. 1/15 *18
Answers
Answer:
1. 12
2. 4
3. 6.8
4. 4.5
5 1.2
Step-by-step explanation:
help me with this please
Answers
Answer:
The answer is 2 3/4
If you simplify 2 3/4 then its 5/6
Hope this helps
ASAPPPP WITH EXPLANATION!!!
Answers
K12 students help !!!!!!!!!!!!
Answers
Answer:
D i think
Step-by-step explanation:
can somebody pls help me with this question I dont get it
Answers
Answer:
1. 195=6.50·c
2. 30
Step-by-step explanation:
195=6.5·c
Divide both sides by 6.5
30=c
A bag of sugar contains 9 cups. A batch of muffins uses ¾ cups of sugar. How many batches of muffins can you make if you use all of the sugar?
Answers
Answer:
answer choices. 4. 3 4/6. 4 1/4. 1 1/4
Step-by-step explanation:
theres your answer my guy
Answer:
12
Step-by-step explanation:
9/(3/4) = x
It will be much easier to do and understand if you change 3/4 to 0.75. Now look at the problem
9/(0.75) = 12
12 batches of cookies can be made
k12 students help please!!!!!!!!!!!!
Answers
Answer:
[tex] 35 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the triangle
[tex] = \frac{1}{2} \times 14 \times 5 \\ \\ = 7 \times 5 \\ \\ =35 \: {units}^{2} [/tex]
HELP ME PLZ THIS IS SO IMPORTANT
Answers
Answer:
4
Step-by-step explanation:
4(6)/ 3+3
24/6
=4 Jushsgsghss
Answer:
11
Step-by-step explanation:
hope that helps :)))))
morganville and newton are 24, miles apart. on a map. the two cities are 3 inches apart? What is the map scale?
Answers
Answer:
Step-by-step explanation:
we have 24/3=8
1 inch is 8 miles
1in:8miles
If Adam and his family travel for 8 hr. at a constant rate of 50 mph, how many miles will they drive on the first day of their vacation?
A. 120 mi.
B. 400 mi.
C. 660 mi.
D. 800 mi.
Answers
Answer:
B. 400 Miles
Step-by-step explanation:
Just take 8hrs and multiply it by 50mph to get an answer of 400.
Hope this helps :)
Answer:
B 400
Step-by-step explanation:
50 x 8 = 400