This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
(In the diagram shown, assume each square on the grid is 1 centimeter in length.)
What is the area, in square meters, of the actual park?
What is the scale factor?
Answer:
Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]
Area of the actual park = 1200 cm²
Step-by-step explanation:
Length of the rectangular city park = 5 cm
Width of the rectangular park = 6 cm
Using scale factor 1 cm = 20 meters
Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]
[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]
Actual length = 5 × 20 = 100 meters
Actual width = 6 × 20 = 120 meters
Area of the rectangular park = length × width
= 100 × 120
= 1200 square meters
Therefore, Scale factor from actual length to the length in drawing = 1 : 20
Area of the rectangular park = 1200 square feet
Solve for y in the following equation.
Answer: The last one.... -9
hope this helped :>
A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?
Answer:
20%
Step-by-step explanation:
The dollar amount of the discount is $32.00 - $25.60 = $6.40
Now we need to find what percent of $32.00 is $6.40.
To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
part = $6.40
whole = $32.00
percent = $6.40/$32.00 * 100%
percent = 20%
buses to ayton leave the station every 25 mins, buses to bleeford leave the station every 40 mins, buses at both places leave at 9am. what is the next time buses to ayton and bleeford leave the station together??
Answer:12:20
Step-by-step explanation:
40*5=200min
25*8
3hr and 20 min
1)
What number is 4 times as many as 25?
Answer:
100
Step-by-step explanation:
Which shows the algebraic representation of the phrase and its value when n=4.27
"twenty-eight plus the product of five and a number
help!!!!!!!!!!!!!!!!!!!
Answer:
154/350 = n/100
n = 0.51333 or 51.333% (I don't know what decimal your class rounds to but it is 3 repeating)
Jay won 51.333% of the solitaire games he played. Hope this helps!!
Step-by-step explanation:
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Answer:
add 3
Step-by-step explanation:
trust me
Solve x^2 = 64, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answer:
x=8
Step-by-step explanation:
8 times 8 equals 64
PLEASE HELP ME!!! Question says complete the table!
Answer:
8000•1.05 8000(1.05)¹
(8000•1.05)•1.05 8000(1.05)²
((8000•1.05)•1.05)•1.05 8000(1.05)³
(((8000•1.05)•1.05)•1.05)•1.05 8000(1.05)⁴
8000(1.05)^t
The total cost, C, to attend a swim meet for a swimmer competing in x events can be modeled using a linear function. Each swimmer will pay a $3.00 entry fee for each event and $8.00 for lunch. Each swimmer may sign up for a maximum of 5 events. What is the range of the function for this situation?
Answer:
The range is between $11 to $23Step-by-step explanation:
let the total cost be c
let the number of events be x
the linear model is
c=3x+8
therefore for 1 event
c=3(1)+8
c=3+8
c=11
=$11
therefore for 5 events
c=3(5)+8
c=15+8
c=23
=$23
The range is between $11 to $23
1 What is the nature of the roots of the quadratic equation if the value of its discrimman
is zero?
The roots are not real
o the roots are rational and not equal
b. The roots are irrational and not equal d the roots are rational and equal
2. Whal is the ans of symmetry of the parabola y
Answer:
If d is zero, both roots are rational and equal.
Step-by-step explanation:
Quadratic Equations
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The discriminant is defined as:
[tex]d=b^2-4ac[/tex]
The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:
If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.evaluate each expression 5(10-1)
Answer:
the answer is 45 if its is what you need
Step-by-step explanation:
i got 100 on test and had that question
Question 2 What is the slope and y intercept of 4x + 6y = -20?
Answer:
Slope is -2/3. The y - intercept is -10/3.
Step-by-step explanation:
Simplify the equation by using division property of equality.
Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4
Answer:
132
Step-by-step explanation:
The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.
y = 6x^3-6x^2-8
____
x = 2
6(2)^3-6(2)^2-8
6(8)-6(4)-8
48-24-8
24-8
16
____
x = 4
6(4)^3-6(4)^2-8
384-96-8
288-8
280
_____
280-16/4-2 = 264/2 = 132
Write the following equation in slope intercept form.
x-2y=42
y=__ x+__
Answer:
Blank 1: 1/2
Blank 2: -3
Step-by-step explanation:
PLEASE help me with this equation
Answer:
1/25
Step-by-step explanation:
I worked out the equation!
Simply the expression
-8 (5b + 2 ) - 7 ( b -5 ) .
help please
Answer:
= −47b + 19
Step-by-step explanation:
Find he percent of change from 1250 to 1,755mi
One positive integer is 18 more than a second positive integer. If the sum of twice the greater and three times the smaller is 86, find the larger integer
Step-by-step explanation:
euuruuryduduehehehdhddhdu
1 11. What is the constant of proportionality? y = 8x
Answer:
-8
Step-by-step explanation:
lere
The cost of buying x ornaments at $4.25 an ornament.?
A.Proportional
B.Non Proportional
2. In right triangle RST with right angle S the m4R = 24°. What is the
measure of T?*
о
24°
O 56°
0 66°
O 116°
Sum of the interior angles of any triangle equal 180° ;
So :
90° + 24° + T = 180°
114° + T = 180°
subtract both sides 114
T = 180° - 114°
T = 66°
_________________________________
And we're done....
♥️♥️♥️♥️♥️
I need help? I don’t know what to dooooooo
A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?
Answer:
1.22
Step-by-step explanation:
9.76/8
Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory
32.02 feet, how much does he have left?
Answer:
22.55 ft of wood is what mr. webb will have left
if pooh bear got a bucket of honey and hops got one how much do I need to steal from hops >;3
Answer
all of it
Step-by-step explanation:
Answer:
one bucket/all of it
Step-by-step explanation:
yoooo can someone help meeee thanks In advance
Answer:
The slope of F = 5.
Not 100% sure.
1. Yearly membership with the online music club costs $48. Members pay $0.99 per song to download music. Nonmembers may download songs for $1.29 each.
Answer:
160 musics
Step-by-step explanation:
let the total amount/charges be y
let the number of musics be x
For members total
y=48+0.99x-------1
For non-members total
y=1.29x-------------2
we are expected to solve for the number of music where members and non members get to pay the same amount
equating 1 and 2 we have
48+0.99x=1.29x
48=1.29x-0.99x
48= 0.3x
x=48/0.3
x=160 musics
Look at the following numbers:
− 4, −1, 0, 4
Which pair of numbers has a sum of 0?