The area of park in terms of scale drawing is 79200 square yards with scale drawing of a rectangular park is 8 inches wide and 11 inches long.
What is area of rectangle?Area of rectangle=Length * width.
Given:
scale length of rectangular park = 11 inch =
scale width of rectangular park = 8 inch
scale length / actual length of park = scale width/ actual width of park
11/330= 8/ actual width of park
1/30 = 8/ actual width of park
actual width of park = 240
So,
Area = length* width
=330*240
= 79200 square yards
Hence, the area of the actual parking is 79200 square yards.
learn more about area of rectangle here:
brainly.com/question/20693059
#SPJ1
What is the simplified expression for-3cd - d (2c-4)- 4d?
sam ran 3 2/3 miles on friday. on saturday, he ran 2 1/9 more miles than he ran on friday. how many miles did he run on saturday? enter the answer in the box in the simplest fraction form. use "/" for the fraction bar
Answer:
5 7/9
Step-by-step explanation:
3 2/3 + 2 1/9 get the common denominator of 9 by making 2/3 6/9
3 6/9 + 2 1/9 add whole numbers to get 5 and numerators to get 7/9
thus 5 7/9
hope this helps! :)
the function f(x)=(4x-8)^2 is the image of g(x)=x^2 after a set of transformations have occurred. which of the following describes the transformation that occurred to g(x)
The transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
How to describe the transformation that occurred to g(x)?The equation of the functions are given as
f(x)= (4x - 8)^2
g(x) = x^2
Start by stretching the function g(x) horizontally by a scale factor of 4
This is represented as
g'(x) = g(4x)
So, we have
g(4x) = (4x)^2
This gives
g'(x) = (4x)^2
Next, we translate the function down by 8 units
This is represented as
f(x) = g'(x - 8)
So, we have
f(x) = (4x - 8)^2
Hence, the transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
The net price of an article is $79.84. What is the list price if a discount of 23% was allowed?
Answer:
about 61.48
Step-by-step explanation:
100-23= 77% of the original price 79.84x.77= 61.4768 round = $61.48
daniel's parents spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? I NEED HELP FAST!!!!!!! WILL GIVE 100 POINTS I PROMISE!!!!!
Answer: $20 per hour
Step-by-step explanation:
To find the hourly rate, simply divide the total cost by the amount of hours that the object was rented(same for unit price).
160/8=20
The hourly rate for the bounce house rental is $20.
work out 5 x 6 /7-3+2
Answer:
5
Step-by-step explanation:
First we'd need to solve 5 x 6. When we solve 5 x 6 we'd get the answer 30. Then do 7 - 3, when we solve that we'd get the answer of 4. Now we add 4 with 2 and we'd get 6. Now we get the 30 and divide it with 6 and get our answer as 5. Therefore our final answer is 5.
I hope this helps, have a blessed day! :)
Identify the key features of the function f(x)=|x-3|
The key features of the function are
Domain: -∝ < x < ∝Range: [0, ∝)Vertex = (3, 0)How to determine the key features of the function?The function is given as
f(x) = |x - 3|
The above function is an absolute value function, and the key feature are:
DomainRangeVertexGenerally, the domain of an absolute value function is the set of all real values
This means that
Domain: -∝ < x < ∝
An absolute value function is represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
By comparison, we have
Vertex = (3, 0)
a = 1
Because the variable a is positive, the vertex of the function is a minimum
So, the range is [0, ∝)
Read more about absolute value function at
https://brainly.com/question/3381225
#SPJ1
Today Olivia is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/2 of a pound and her lunch weighs 2/3 of a pound, how much weight is in Olivia's backpack?
Weight is in Olivia's backpack is 5/6 pound.
As in the given problem olivia's history book weights 1/2 of a pound and
her lunch weighs 2/3 of a pound.
As both the units are same,
Thus total weight must be summation of both history book and her lunch box.
total weight is =1/2 +2/3 pound
= (3+2)/6
that is equal to 5/6 pound.
Learn more about summation here:
https://brainly.com/question/21021524
#SPJ4
Paul had 84 fliers to post around town. Last week he posted 1/6 of them. This week, he posted 4/7 of the remaining fliers. How many fliers has he still not posted?
The number of fliers that he has not posted is 8
What is proportion?Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
Total number of fliers is 84First week, 1/6 of the floors were postedThis week, 4/7 of the remaining were posted.To determine the number of fliers remaining, we have that;
Remaining fliers for the First week
= 84 × 1/6
Multiply and find the quotient
= 14 fliers
Fliers remaining after the last week
= 14 × 4/7
Multiply and find the quotient
= 56/7
= 8 fliers
Thus, the number of fliers the he has not posted is 8
Learn more about word problem here:
https://brainly.com/question/13818690
#SPJ1
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
When sales representatives for a pharmaceutical company drive to out-of-town meetings that require an overnight stay, they receive $160 for lodging plus $0.50 per mile driven. How many miles did Joe drive if his company reimbursed him $265 for an overnight trip?
The equation is ____. Joe drove ____ miles.
Answer:
1) y=160+0.5x
2) 210 miles=x
50 point help needed Which table represents y as a function of x
Answer:4
Step-by-step explanation:
tbh because i said so
Between 10 pm and 7:36 am, the water level in a swimming pool decreased by 8/25 in. What is the constant rate
Answer:
he waters level dropped inch each hour
Step-by-step explanation:
- Between 10 P.M. and 7:45 A.M., the water level in a swimming pool
decreased by 13/16 inch
- Assuming that the water level decreased at a constant rate
- We need to find the drop each hour that means the unit rate of
decreased of the level of the water
- At first lets hind how many hours between 10 P.M. and 7:45 A.M.
∵ Between 10 P.M. and mid-night 2 hours
∵ Between mid-night and 7:45 A.M. 7 hours and 45 minutes
- Lets change 7 hours and 45 minutes to hours
∵ 1 hour = 60 minutes
∴ 45 minutes = 45 ÷ 60 = hours
∴ 7 hours and 45 minutes = hours
∴ The total hours between 10 P.M. and 7:45 A.M. = 2 + hours
∴ The total hours between 10 P.M. and 7:45 A.M. =
∵ The unit rate of decreased = The decreased level ÷ total hours
∵ The decreased level is inche
∵ The total hours = hours
- Lets change the mixed number to improper fraction
∵ =
∴ =
∵ The unit rate of decreased = ÷
- To solve the division of 2 fractions change the division sign to
multiplication sign and reciprocal the fraction after the division sign
∴ The unit rate of decreases = ×
∴ The unit rate of decreases = inch per hour
The water level dropped inch each hour
Answer:
1/30 inch per hour
Step-by-step explanation:
The time passed was 9 hours and 36 minutes, which is the same as 9.6 hours.
So, the constant rate, in inches per hour, is
[tex]\frac{8/25}{240/25}=1/30[/tex]
A boat traveled 150 miles in 1/2 hours.At this rate,how many miles will the boat travel in 8 hours??
Answer:
Good
Step-by-step explanation:
it is a
Answer:2400 miles
Step-by-step explanation:
150 miles in 1/2 hour. 150x2=300. 300 miles in 1 hour.300x8=2400. 2400 miles in 8 hours.
Write the statement "the sum of a number and 17.3 is at least −2.8" as an inequality.
−2.8 + b > 17.3
b + 17.3 ≥ −2.8
b + 17.3 ≤ −2.8
−2.8 + b < 17.3
The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is option B
We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided
Let the number be b
so, the sum of two numbers would be
b + 17.3
It is given that the sum should be at least - 2.8
this means the sum is either equal to - 2.8 or sum is more than -2.8
So, the linear inequality equation comes to be
b + 17.3 ≥ - 2.8
Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is option B
To know more about Linear Inequality - https://brainly.com/question/11897796
#SPJ1
Answer:
b
Step-by-step explanation:
gimmeeeeee 10000 pointttsss.
A mole is a unit of measurement in chemistry. If 1 mole contains 6.02×1023 particles, how many particles are in 12 of a mole?
The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
What is the number of particles in a separate substance given that one mole contains 6.02×10²³ particles?It follows from the task content that 1 mole contains 6.02×1023 particles, and hence, the number of particles in 12 moles is to be determined.
On this note, it follows from proportion that since 1 mole contains 6.02×1023 particles, then, the number of particles is 12 moles is;
= 12 × 6.02 × 10²³
= 72. 24 × 10²³
= 7.224 × 10²³.
Ultimately, The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.
Read more on proportion;
https://brainly.com/question/1496357
#SPJ1
PLEASE HELP ASAP 40 POINTS
The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.
How to find the procedure error associated to a composition of functions
In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:
f ° g (x) = f [g (x)]
Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:
g ° f (x) = g (f (x))
g ° f (x) = 2 · [(3 · x - 7) / 4] - 1
g ° f (x) = (3 · x - 7) / 2 - 1
g ° f(x) = (3 / 2) · x - 7 / 2 - 1
g ° f(x) = (3 / 2) · x - 9 / 2
g ° f(0) = (3 / 2) · 0 - 9 / 2
g ° f(0) = - 9 / 2
To learn more on composition of functions: https://brainly.com/question/20379727
#SPJ1
how do i find the range of this ??
the range of the graphed relation is just:
R: y ∈ {2, 3, 4, 5, 6}
How to find the range of the given relation?A relation maps elements x into elements y, and for that relation, we define the domain as the set of the possible inputs (values of x) and the range as the set of outputs (set of values of y).
On the table you already wrote we can see that the values of y are:
2, 3, 4, 5, 6
Then the range is just:
R: y ∈ {2, 3, 4, 5, 6}
Where "∈" means "belongs".
If you want to learn more about range:
https://brainly.com/question/10197594
#SPJ1
Please what is the awnser..
i woll proof the answer here
Step-by-step explanation:
J.o.i.n pqp-yuth-ygd
Ken’s seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50. a. If $0.25 per pound is the current price for aluminum at the recycling center, how many pounds of empty cans will the class have to collect?
It is important to have C=200 pounds of empty cans, which is the amount of weight in pounds that the class needs to collect.
This is further explained below.
How many pounds of empty cans will the class have to collect?Generally, the equation for empty cans is mathematically given as
C= books total cost/ current price
Therefore
[tex]C=\frac{50}{(\frac{1}{4})}[/tex]
C= 200
In conclusion, the pounds of empty cans the class has to collect is
C=200 pounds are needed.
Read more about pounds
https://brainly.com/question/27994061
#SPJ1
Find the midpoint of a line segment with endpoints at left parenthesis negative 5 comma negative 4 right parenthesis and left parenthesis 7 comma space 6 right parenthesis.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 7 -5}{2}~~~ ,~~~ \cfrac{ 6 -4}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies (1~~,~~1)[/tex]
A _____ is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.
A pegged currency is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.
A fixed exchange rate, sometimes known as a tagged exchange rate, is a type of exchange rate regime in which a monetary authority fixes or pegs the value of one currency to the value of another, a basket of other currencies, or another measure of worth, such as gold.
An exchange rate stabilization strategy known as a currency peg involves a national government or central bank setting a fixed exchange rate for its own currency with a foreign currency or a basket of currencies.
A pegged currency is one whose value is fixed at a specific exchange rate because it is linked to another currency.
Learn more about peg currency here:
https://brainly.com/question/4384742
#SPJ9
Simplify 2x+3y-2(x-y2)
Answer:
7y
Step-by-step explanation:
2x + 3y -2(x - 2y)
2x + 3y - 2x + 4y
2x - 2x + 3y + 4y
3y + 4y
7y
*Please mark brainliest answer
Which of the following is not a function of x?
The circled graph given at the end of the answer is not a function of x.
What is the missing information?The graphs for which we choose the one which is not a function are missing, and are given at the end of the answer.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
For this problem, we have that:
The circled graphed has vertically aligned points, that is, values of x inside the circle are mapped to multiple values of y, hence the graph is not a function.The other two graphs have no vertically aligned points, meaning that each value of x is mapped to only one value of y, hence they are functions.Hence the circled graph given at the end of the answer is not a function of x.
More can be learned about graphs and functions at https://brainly.com/question/12463448
#SPJ1.
Through (-3, 1), perpendicular to y = 1/2x-5
Find the negative reciprocal of the slope of the original line and use the point-slope formula y-y_(1)=m(x-x_(1)) to find the line perpendicular to y(1)/(2)x-5.
y=-2x-5
Step-by-step explanation:
Sonia will paint a large triangular sign with a base of 14 ft and a height of 8 ft. What is the area of the sign?
Answer:
56
Step-by-step explanation:
1/2 x 14 x 8
use the formula: half times base times height
What are the three ways to represent a proportions
Answer: Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc
a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d
a:b = b:c then b is called mean proportional and b2 = ac
The third proportional of two numbers, a and b, is c, such that, a:b = b:c
d is fourth proportional to numbers a, b, c if a:b = c:d
Step-by-step explanation:
Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.
Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.
Hope This Helps <3
Step-by-step explanation:
Megan's text messaging plan costs $15 for the first 500 messages and 5¢ for each additional text message. If she owes $21.55 for text messaging in the month of May, how many text messages did she send that month?
Answer:
631
Step-by-step explanation:
15+(0.05x131)=21.55
131+500=631
If LN=12X+16, what is the length of LN in units
The length of LN in units is 64 units
How to determine the length of the line LNThe complete question is added as an attachment
From the question, we have the following parameters
LM = 10x + 8
MN = 5x - 4
LN = 12x + 6
The above means that
LN = LM + MN
So, we have
10x + 8 + 5x -4 = 12x + 16
Evaluate the like terms
So, we have
15x +4 = 12x + 16
Collect the like terms
So, we have
15x - 12x = 16 - 4
Evaluate the like terms
So, we have
3x = 12
Divide both sides by 3
x = 4
Next, we substitute x into LN = 12x + 16
So, we have
LN = 12(4) + 16
Evaluate
LN = 64
Hence, the length of LN in units is 64 units
Read more about length at:
brainly.com/question/11562184
#SPJ1
what is 5/7 of 4/5 of 28/29
Answer: The least common denominator (LCD) is 1015.
The Japan Trench is 9 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
−17 km, and the Japan Trench is deeper
−1 km, and the Peru-Chile Trench is deeper
1 km, and the Japan Trench is deeper
17 km, and the Peru-Chile Trench is deeper
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The difference of depth between them is 1km.
1. −17 km, and the Japan Trench is deeper is False.
2. −1 km, and the Peru-Chile Trench is deeper is False.
3. 1 km, and the Japan Trench is deeper is True.
4. 17 km, and the Peru-Chile Trench is deeper is False.
Given that,
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench.
Based on the difference in depth between the Japan Trench and the Peru-Chile Trench, which is 1 km deeper, the Japan Trench is deeper.
The trench that is lower to sea level has a deeper depth. In other words, it is the one that is lower than the others by a wider amount.
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The Japan Trench is hence deeper as a result.
The difference is 9-8=1 km
Therefore, the difference of depth between them is 1km and 3rd option is True which is 1 km, and the Japan Trench is deeper.
To learn more about depth visit: https://brainly.com/question/13804949
#SPJ1
Answer:
c
Step-by-step explanation: