Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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what Else would need to be congruent to show
Answer:
A
Step-by-step explanation:
45 + 15(n − 1) for n = 6
Answer:
120
Step-by-step explanation:
45 + 15 (6 -1)
45 + 15 (5)
45 + 75
120
Solve for x
I
(2x +1)° (5x +50°
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
I need help
Indicate the quadrant in which the point belongs.
(-18, -12)
Answer:
3rd quadrant is where the point is
9. If one inch represents 14 feet,
what dimensions would you use
to make a scale drawing of a
building 84 feet by 126 feet?
Answer:
the answer would be 6in. by 9in.
Step-by-step explanation:
you have to divide 84 by 14 and 126 by 14
Translate the equation into a verbal sentence 3y+8=32
Answer:
32 Is Eight More Than 3 Times A Number
Explanation:
32 Is Eight More Than: + 8 = 32
3 Times A Number: 3y
Put Everything Together: 3y + 8 = 32
Step-by-step explanation:
Hey there!
3y+8 = 32 --> The sum of thrice of a number and 8 is 32.
Reason:
When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.
Hope it helps...
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore the lengths of the triangle are:
[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer
Answer:
24
Step-by-step explanation:
Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.
So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .
So we have 24 different HiFi systems are available to purchase from this retailer
Please help D: what’s the answer
20 POINTS AND BRAINLIEST
Two functions are shown.
What is the value of f(4) + g(3)?
f(x) = 64(0.5)*
g(x) = 20x + 12
Enter your response here:
Answer:
g(x) = 20x + 12
Step-by-step explanation:
can i plz have the brainleist
HELP PLEASE IS FOR TODAY
20 points
•Segment A'B' is closer to point C than segment AB.
•Segment A"B'" is closer to point C than segment A'B'
•Segment A'B' is farther from point C than segment AB
•Segment A"B'" is farther from point C than segment AB.
•Segment A"B" is farther from point C than segment A'B'
Answer:
It's A. segment A"B" is closer to segment C than segment A"B".
Step-by-step explanation:
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?
Answer:
the correct answer is -2. I hope this helped
calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s
Answer:
158400 meters
Step-by-step explanation:
multiply 3600 by 22 then multiply by 2
is 42,260 a rational or irriational number
Answer:
rational
Step-by-step explanation:
it can be written as a ratio like 42260/1
brainliest?? please
Answer:
Rational
Step-by-step explanation:
This number is a whole, even number. It does not fit the criteria to be irrational because it can be written as a simple fraction
Find the area of polygon ABCDE (shown below)
5
4
m
20
Answer:
The answer is 24
Step-by-step explanation:
HELP ME PLEASE!!! this is the recipe.
Answer:
Ok... hmmmmm
So im going to assume that this is an adding fractions question so for a half batch it would be 1 1/4 + 2 2/4 which is 3 3/4 cups and for a double batch it would be 15 cups because 10 + 5 is 15.
The first blank probably is 3 3/4
The second blank probably is 15
<3 I already answered this on the other question but I want points so tysm.
Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please
Answer:
-7
Step-by-step explanation:
[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]
Simply replace h(x) with 9 because it is given in the question that h(x)=9
At Al's Pizza they have the Expo Pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. You order a pizza and get charged $29.25. Which equation represents the situation described?
A.29.25 = 17.50 +2.35x
B. 29.25 = 17.50x + 2.35
C. 2.35x = 29.25 + 17.50
D.17.50 +2.35 = 29.25x
Answer:
Compare and contrast the to main candidates
Step-by-step explanation:
Help
A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.
Answer
1- 61.95
2- 82.6
Step-by-step explanation:
V=πr2h divided by 3
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
9x + 3 = 6x - 12 + 3x
0=−15
Step-by-step explanation:
subtract 3 from both sides
9+3=9−12
9+3−3=9−12−3
simplify
9=9−15
subtract 9x from both sides
9=9−15
Simplify again and combine like terms and you should get 0=−15
of two planes intersect is their intersection a point
help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*
Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?
a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g
Answer:
C. 45 + 7h = g
Step-by-step explanation:
This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.
Example:
Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.
45 + 7(3) = g
Now you just have to solve the equation.
45 + 21 = g
Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.
g = 66
in a neighborhood the ratio of houses with swing sets to houses without swing sets is 3 to 5. if the number with swing sets is 270 how many houses do not have swing sets
Answer:
450? why did I get that?
Step-by-step explanation:
The number of houses not having swing sets is 450.
Given that, in a neighbourhood, the ratio of houses with swing sets to houses without swing sets is 3 to 5 and the number with swing sets is 270.
We need to find out how many houses do not have swing sets.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
Let the number of houses that do not have swing sets be x.
So that the proportion is 3/5 = 270/x
⇒3x=270×5
⇒x=450
Therefore, the number of houses not having swing sets is 450.
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can someone please help me with this question
Answer:
60 in^3
Step-by-step explanation:
You just multiply the base by the height.
Answer:600
Step-by-step explanation: hope this helps you
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
The price of Stock A at 9 A.M. Was $14.67. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $15.17. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Price of Stock A at 12 : 00 A.M. is :
A = 14.67 + 0.08×3
A = $14.91
Price of Stock B at 12 : 00 A.M. is :
B = $15.17
Let, after x hours price are same :
[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]
At, 1 : 13 P.M both stocks have same prices.
Hence, this is the required solution.