The length of the field in the drawing is 81 cm
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Scale of the drawing : Length in meters is in the ration 3 cm : 4 m
Length of the soccer field is 108 m
Now , length of 108 m soccer field in scale of drawing = x
From proportion formula , we can deduce that
3 : 4 : : x : 108
So ,
3/4 = x/108
Multiply by 108 on both sides , we get
( 3 x 108 ) / 4 = x
x = 3 x 27 cm
x = 81 cm
Hence , length of the field in the drawing is 81 cm
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Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis
Step-by-step explanation:
Plot the point.
-1+3=2 and -2-5=-7
this is your new plot, (2,-7)
move the dot an equal distance across the x-axis, which is up and down.
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)
Answer:
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5o3
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
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The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-
The total amount of revenue on the 23rd day is 322.65
Given the following parameters:
purchases made p(d) = 15d + 45sales made s(d) = 0.15d² – 4d + 80The revenue will be exprssed as:
r(d) = s(d) - p(d)
r(d) = 0.15d² – 4d + 80 - (15d + 45)
r(d) = 0.15d² – 19d + 35
Hence a function R(d) to model the total daily revenue is r(d) = 0.15d² – 19d + 35
To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function
r(d) = 0.15d² – 19d + 35
r(23) = 0.15(23)² – 19(23) + 35
r(23) = 79.35 - 437 + 35
r(23) = -322.65
Hence the total amount of revenue on the 23rd day is 322.65
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Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?.
The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
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solve -(-7x+9)+(3x-1)=0
Answer: x = 1
Step-by-step explanation:
A group of ten friends played a number guessing game. They were asked to pick a number between 1 and 20. The person closest to the target
number wins. The ten people made these guesses:
Guess
2
15
10
8
12
19
20
Ол
7
9
9
Absolute Guessing Error
a. The actual number was 14. Which table correctly shows the absolute guessing errors? Select Choice
Answer:
Step-by-step explanation:
69
find the equation of the line.
y=[ ]x+[ ]
Answer:
y = -2x + 5
Step-by-step explanation:
Slope = -2
m = slope
y-intercept = 5
b = 5
y = mx + b
y = -2x + 5
A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?
ASAP NOW!
The pre-sale price of the wedding gown is £224.
A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost pay 75%(100 - 25%) of the pre-sale price.
This equation can be used to determine the pre-sale price of the wedding gown: discounted price / 75%
£168 / 0.75 = $224
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Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?
Answer:
more than 23.3 $
Step-by-step explanation:
if we say she will work minimum 4 hours in day that mean it will be 28 hours
so she left 7 hours behind
and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$
Catryna has 15 coins in nickels and quarters, totaling $3.75. How many quarters does she have?
Answer: 15 Quarters
Step-by-step explanation:
4Q = $1
12Q = $3
3Q = $0.75
12Q + 3Q = $3.75
mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please
your friend has owned a dog for 9 year this is one year less than as
you just answered your own question
Can I get some help? I’ve been struggling on this for a while now. Plz and thank you
Answer:
65.4 degrees
Step-by-step explanation:
cos(x) = 5/12
x = arccos(5/12), which is approximately 65.3756816 (on calculator). to the nearest tenth that is 65.4
Find the difference between 1/6 and 1/2
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
are these lines perpendicular explain
Answer:
Yes because the slopes are negative reciprocals of each other.
Step-by-step explanation:
The slope of line B is: 1/3
(-2, -4) and (1, -3)
(-3+4)/(1+2) = 1/3
The slope of line A is: 3
(-3, 0) and (-2, -3)
(-3-0)/(-2+3) = -3
What is the answer to this?
Answer:
56
Step-by-step explanation:
Answer:
i think its 140 because u got to add all the sides in order to subtract from 180
i dont know if its right but that is what i think UwU
HURRRYYY PLEASEEEE ANSWERRRR
Answer:
27*10⁵ is basically 270000.
hope you get it
{2x−y=4
y−x=4
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x-y=4 [2] y-x=4
Equations Simplified or Rearranged :
[1] 2x - y = 4 [2] -x + y = 4
Graphic Representation of the Equations :
y + 2x = 4 y - x = 4
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 4
// Plug this in for variable y in equation [1]
[1] 2x - (x +4) = 4 [1] x = 8
// Solve equation [1] for the variable x
[1] x = 8
// By now we know this much :
x = 8 y = x+4
// Use the x value to solve for y
y = (8)+4 = 12
Solution :
{x,y} = {8,12}
What is the slope of a line that passes through the points (5, 6) and (−11, 14)
Answer:
m = -1/2
Step-by-step explanation:
let me know if it helped
(too lazy to write a explanation)
A number w is greater than-3
Answer:
w>-3
Step-by-step explanation:
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
For 8 b, draw 36 squares and for 8 c, it would be 144:)
I’m stuck on this question, can anybody help?
Answer: 1/4
Step-by-step explanation:
Noon is 12:00
Supposing that each number is one hour
15 minutes = 1/4 hrs
And therefore 12:15 PM is represented as 1/4
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?
Answer:
18 glue sticks are left.
Step-by-step explanation:
There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!
If January 20 falls on a Tuesday, then February 15 of that same year falls on which day of the week? (January has 31 days)
Answer: Sunday
Step-by-step explanation:
The 27th would be tuesday
The 3rd would be tuesday
The 10th would be tuesday
The 15th would be sunday
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
3x+4y=12 find x-intercept and y- intercept
Answer:
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
x = 4
y = 3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
slope = -0.750
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
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Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
Parallel lines : mastery test
Answer:
I can't see much so take one more than I can help
Find the value of the variables.
Answer:
x = 90 degrees
y = 50 degrees
Step-by-step explanation:
The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.
