Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
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The scale factor is 3.
Related Questions
help with geometry please
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Add 3 to both sides to get 2x=x+7.
Subtract x from both sides to get x=7.
To set up the equation, you would do: 2x - 3 = x + 4.
Let's add 3 from the left side to the right, it would then be: 2x = x + 7.
We then want that "x" from the right side to be with the "2x", so we will subtract "x" from the right to cancel it out, and then we will subtract "x" to other side too.
After you do that, the equation should be: x=7. This is the final answer. Hope this helps!
May
Selena babysit on the weekends. The equation is Y equals 13x represents the amount of money she earns. What is the constant of proportionality
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Help now get lots of points
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-2/3x + y = 3
2x - 3y = -9
-----------------
6 - y = -5x + 8
5x - y = 8 - 6
5x - y = 2
----------------
y - 3 = 4(x - 3)
y - 3 = 4x - 12
y = 4x - 12 + 3
y = 4x - 9
-4x + y = -9
4x - y = 9
---------------
-7/6x + 1 = y
-7/6x - y = -1
7x + 6y = 6
Answer:
A. y = 2/3x + 3 --> 2x - 3y = -9
B. 6 - y = -5x + 8 --> 5x - y = 2
C. y - 3 = 4(x - 3) --> 4x - 9 = y
D. -7/6x + 1 = y --> 7x + 6y = 6
Find the percent of each number 350% of 96
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Yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute? Enter your answer in the box.
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we know that
Yousef typed a [tex]36[/tex]-word paragraph in [tex]2/3[/tex] minute
so
by proportion
Find the number of words typed in one minute
[tex]\frac{36}{(2/3)} \frac{words}{minutes} =\frac{x}{1} \frac{words}{minute}\\ \\x=36*\frac{3}{2}\\ \\x= 54\ words[/tex]
therefore
the answer is
Yousef typing speed, in words per minute is equal to
[tex]54\frac{words}{minute}[/tex]
The typing speed of Yousuf in words per minutes is [tex]54\;\rm words\;per\;minute[/tex].
Yousuf typed 36 words in [tex]\dfrac{2}{3}\;\rm minutes[/tex].
By Unitary method, calculate the speed of typing by Yousuf as-
[tex]\dfrac{2}{3} \;\rm minutes \rightarrow 36\;\rm words\\1\;\rm minute \rightarrow \dfrac{36}{(\frac{2}{3})}\;\rm words\\1\;\rm minute \rightarrow \dfrac{36\times 3}{2}\;\rm words\\1\;\rm minute \rightarrow 54\;\rm words[/tex]
Hence, the typing speed of Yousuf in words per minutes is [tex]54\;\rm words\;per\;minute[/tex].
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Simplify negative 2 over 3 ÷ negative 7 over 4.
a. negative 7 over 6
b. negative 8 over 21
c. 8 over 21
d. 7 over 6
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Answer:
B 8/21
Step-by-step explanation:
What is the procedure for multiplying by a one digit number?
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How many times greater is 7,000 than 70
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To find out how many times greater 7,000 is than 70, one needs to perform a division operation. In this case, it would be 7,000 divided by 70 which equals 100. Hence, 7,000 is 100 times greater than 70.
Explanation:To determine how many times greater 7,000 is than 70, one must use division. This is done by dividing 7,000 by 70. The equation would look like this: 7,000 ÷ 70. If you solve the equation, the answer is 100. Therefore, 7,000 is 100 times greater than 70.
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Relationship A has a lesser rate than Relationship B. This table represents Relationship B.
Hours worked 2 4 5 8
Amount paid ($) 36.50 73 91.25 146
Which equation could represent Relationship A?
Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
y = 18.1x
y = 18.6x
y = 18.3x
y = 18x
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Answer:
y = 18.1x ; and y = 18x
Explanation:
The rate of change in Relationship B can be found by using the formula for slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points, we have
[tex]m=\frac{73-36.50}{4-2}=\frac{36.50}{2}=18.25[/tex]
We know that Relationship A has a lesser rate than this. The choices given for Relationship A are written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in this case b = 0).
The slope of the first equation is 18.1; this is less than 18.25.
The slope of the second equation is 18.6; this is greater than 18.25.
The slope of the third equation is 18.3; this is greater than 18.25.
The slope of the fourth equation is 18; this is less than 18.25.
Answer:
Option A and D.
Step-by-step explanation:
If a linear function passes through two points, then the rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table it is clear that the Relationship B have two ordered pairs (2,36.50) and (4,73). So, the rate of Relationship B is
[tex]m=\dfrac{73-36.50}{4-2}[/tex]
[tex]m=\dfrac{36.50}{2}[/tex]
[tex]m=18.25[/tex]
The rate of relation B is 18.25.
Let hours worked is represented by x and amount paid is represented by y. So the Relationship B is defined as
[tex]y=kx[/tex]
Where, k is the rate of relationship A.
It is given that Relationship A has a lesser rate than Relationship B.
[tex]k<18.25[/tex]
We know that
[tex]18.1<18.25[/tex], [tex]18.6>18.25[/tex], [tex]18.3>18.25[/tex] and [tex]18<18.25[/tex].
The relationship A could be
[tex]y=18.1x[/tex] and [tex]y=18x[/tex]
Therefore, the correct options are A and D.
Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amount of time it takes for Roscoe to ride his bike m miles is represented by a function. t(m) = m/10.5 What is the practical domain of the function?
Answers
Answer:
all real numbers from 10 to 30, inclusive
Step-by-step explanation:
The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.
Domain of function is defined as the set of input values for which the function is defined i.e. the set of its possible inputs,
The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
[tex]t(m) = m/10.5[/tex]
Where m represent, number of miles he can ride.
Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.
Therefore, Domain of function is from 10 miles to 30 miles.
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What is 9 divided by 261
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Hope i helped
A blue print for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
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3 inches = (3 * 10) = 30 ft long <==
5.5 inches = (5.5 * 10) = 55 ft wide <==
Answer:
Length= 30 feet, breadth = 55 feet.
Step-by-step explanation:
Length of building in blue print= 3 inches
Breadth of building in blue print= 5.5 inches
It is given that 1 inch on the blue print is equivalent to 10 feet in actual building
We have to convert the dimensions
So Length of building in blue print in feet= 3 inches= 3×10=30 feet
Breadth of building in blue print in feet= 5.5 inches= 5.5×10= 55 feet
Hence the correct answer is Length= 30 feet, breadth = 55 feet.
math question down below
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To do this you flip the second fraction (3/1) around and you multiply:
3/1 = 1/3
- 4*1/5*3 = - 4/15
This means he went - 4/15 miles down,
Hope this helps! :)
Carmen has 18 connecting cubes. She wants to model a house shaped like a rectangle. If the model has a height of one connecting cube, how many different ways can Carmen model the house using all 18 connecting cubes?
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To determine the number of ways Carmen can model the house using all 18 connecting cubes, considering them as distinguishable objects and applying permutations is essential.
Explanation:Carmen has 18 connecting cubes and wants to model a house shaped like a rectangle with a height of one connecting cube. To find the number of ways to model the house using all 18 cubes, we can approach it using combinatorics. One way to visualize this is by considering the cubes as distinguishable objects and applying permutations.
One approach could involve fixing the base of the rectangle, which will have a length of 16 cubes, leaving 2 cubes for the width. The 2 remaining cubes can be placed in 2! = 2 ways. So, the total number of ways to model the house would be 16!×2.
Answer:
There are 3 ways.
Step-by-step explanation:
Let each cube be 1 cm on the side.
The volume of each cube is 1 cm³.
volume = length × width × height
We are told the height is 1.
The volume is 18 cubes, so volume = 18 cm³.
length × width × height = 18 cm³
length × width × 1 cm = 18 cm³
length × width = 18 cm³
There are 3 ways to factor 18 into integer factors:
1, 18
2, 9
3, 6
Carmen can make the model 18 cubes long by 1 cube wide,
or 9 cubes long by 2 cubes wide, or 6 cubes long by 3 cubes wide.
Answer: There are 3 ways.
Andrew lives 1.7 kilometers from soccer field. He rode his bike 0.9 of the distance to the field. How much farther does Andrew need to ride to reach the soccer field. Include an area model in your answer.
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10% of 1.7 km is 0.17 km
Hope this helps!
when is the diffrence of two decimals an interger
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Answer:
The diffrence is that 2 placed decimals are not a whole number being contained into an equation/expression.
Step-by-step explanation:
12.45 - 7.33 = 5.12
12-7=5
What is the solution to the inequality 2(x + 3) ≥ –10 – 4x? solve step by step, please.
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Here are the steps:
2(x + 3) ≥ –10 – 4x
=2x+6≥-10-4x
=2x+6-6≥-10-4x-6
=2x≥-4x-16
=2x+4x≥-4x-16+4x
=6x≥-16
=6x/6≥16/6
=x=-8/3
You and your friends decide to take a survey to try to convince mall managers to add a new store. You split up to survey parts A, B, and C of the mall. If you survey part B what percent of the will you survey
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Kelly has 3/4 of a pie left. She wants to slip the pie with 3 of her friends.How much pie will each person get?
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6 times the sum of 12 and 8
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12 + 8 = 20
6 × 20 = 120
6 × (12 + 8) = 120
After a 90% reduction, you purchase a new soft drink machine on sale for 72$. What was the original price of the soft drink machine?
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Original price = Sale price/(1 - percentage reduction)
$72/(1-.90) = $720
So, the original price for the drink machine was $720.
Find the slope. Is it positive,negative,zero or undefined? Show your work. Y=-1/8x+12
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Write a real-word problem where you have to multiply 120 and 75.
Please help best answer will be marked as braniiest
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He makes $120 a day and Bob needs to make a certain amount of money to pay his bills at the end of three months. Bob has to pay $8675 for his bills. If Bob worked 75 days, does he have enough to pay his bills?
(answer)
Yes.
(work)
120 x 75 = 9000
9000-8675
I hope this helped!
In a cinema with 120 rows and 75 seats in each row, we can find the total number of seats by multiplying these two numbers together. This results in 9000 total seats.
Explanation:The subject of this question is related to a real-world mathematical problem. Suppose there is a cinema having 120 rows and each row consists of 75 seats. We want to find out the total number of seats in the cinema hall.
To solve this, we need to use multiplication. In mathematics, multiplication is one of the four elementary mathematical operations, with the other three being addition, subtraction, and division. By multiplying 120 (the number of rows) with 75 (the number of seats in each row), you can find out the total number of seats in the cinema hall.
So, 120 * 75 = 9000. Hence, there are 9000 seats in the cinema.
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Steven recorded the growth of a plant over 10 weeks for his science project. He made a graph that shows how much the plant grew each week. The plant was 2 in. tall when Steven started his project. At week 5, the plant was 8 in. tall.
Which equation represents Steven’s situation, where x is the number of weeks and y is the height of the plant?
A. y= 8/5x+2
B. y= 6/5x+2
C. y= 5/8x+2
D. y= 5/6x+2
Answers
If you substitute the points (5,8) you get:
8 = 6/5 × 5 + 2
8 = 6 + 2
Answer:
Answer is option B.
Step-by-step explanation:
Given information:
Assume the growth of plant is linear
When Steven started his project [tex](x_1=0)[/tex] , growth of plant is[tex](y_1=2 \rm in)[/tex]
At week 5,[tex](x_2=5)[/tex], growth of plant is [tex](y_2=8 \rm in)[/tex]
We know, equation of line is,
[tex](y-y_1)=m\times (x-x_1)[/tex],where [tex]m[/tex] is the slope of equation
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{8-2}{5-0}=\frac{6}{5}[/tex]
On substituting [tex]m[/tex],
[tex](y-2)=\frac{6}{5}\times (x-0)[/tex]
[tex]y=\frac{6}{5}x +2[/tex]
So, answer is option B.
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i need some help with solving inequalitys 9x-9 greater thab or equal to 2(8x-15)
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Which state's ratification guaranteed the constitution's approval?
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the volume of 10 000 drops of liquid is 1 fluid ounce. what is the volume of 1000
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sophie is trying to see how thick her pile of paper is. She has 50 pieces of paper that are each 4.5×10^-4. How thick is the whole stack?
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50x4.5x10^-4
=225x10^-4
Move decimal two times to the left
=2.25x10^-2
probabiltiy can be used to determine the likelihood of specific ---------------- ( a:games,b:occurrences,c:questions,d:opportunities
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The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?
y – 3 = –(x + 8)y + 3 = –(x – 8)y + 8 = –(x – 3)y – 8 = –(x + 3)
Answers
Answer:
Option 4 - [tex]y-8=-(x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of the equation of a line that passes through point (–3, 8) is [tex]y =-x+ 6[/tex].
The general form of slope intercept is [tex]y=mx+c[/tex]
where, m is the slope and c is the y-intercept.
On comparing,
m=-1 and c=6
The point slope form of the equation of a straight line is
[tex]y-y_1=m(x-x_1)[/tex]
Point is [tex](x_1,y_1)=(-3,8)[/tex]
Substitute the values,
[tex]y-8=-1(x-(-3))[/tex]
[tex]y-8=-(x+3)[/tex]
The point-slope form of the equation for this line is [tex]y-8=-(x+3)[/tex]
Therefore, Option 4 is correct.