Figure 1 is dilated to get Figure 2.
What is the scale factor?
Enter your answer, in simplest form, in the box.
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Related Questions
Number 5 and a. b. 6. a. b. is difficult who can help me?
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5a. Okay. So $90 were paid for the two tickets, that's $45 per ticket. 452.50 was the amount per ticket. First, let's subtract 45 from 52.50. 52.50 - 45 is 7.5. That's $15 for two tickets, and $7.50 of a markdown per ticket.
5b. For this all we have to do is divide the difference by the original price. Let's do the cost per ticket. There is a difference of 7.5. The original price was $52.5. 7.5/52.5 is 0.142857 and other numbers behind it, or 14% when converted to percent and rounded to the nearest whole number. You can divde the difference for two tickets by the original price for two tickets and get the same answer. There. The percent markdown is approx.14%.
For this part, in order to find the sale price, what we have to do is subtract the markdown from 100%, and then multiply the remainder by the original price. This is because while you do get a discount, you still have to pay a portion of the original price.
6a. The discount is 35%. That means you pay 65% of the original amount, because 100 - 35 is 65. Let's multiply. 4,200 * 65% (0.65) is 2,730. There. The sales price is $2,730.
6b. The discount is 44%, 100 - 44 is 56. So 56% of the original price is paid. Once again, multiply the percent and the original price together. 5,000 * 56% (0.56) is 2,800. There. The sale price is $2,800.
Please anyone help me simplify the answer
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tyler wants to buy a new television that costs $312. He has already saved $96. He plans to save $24 per week over the next few weeks. Which shows the number of weeks Tyler will need to save to be able to buy the television?
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216 divided by 24= 9
He will need 9 weeks until he can buy the television
Madison is building a toy box that measures 2‘ft by 5‘ft by 3.5 ft. What is the volume of the toy box?
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so 2*5*3.5=35
35 should be the answer
2 * 5 * 3.5 =
the answer is 35
hope this helps
Choose the equation of the horizontal line that passes through the point (−5, 9).
y = −5
y = 9
x = −5
x = 9
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Answer:
y = 9
Step-by-step explanation:
A horizontal line will stay at the same height across the entire domain. This means that while its x-coordinates change, its y-coordinate does not.
Since it passes through the point (-5, 9), this means the y-coordinate is 9. It will be y=9 throughout the entire graph; this means the equation is y=9.
The equation of the horizontal line that passes through the point (−5, 9) is y=9. The correct option is B.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
For a horizontal line, the value of the slope of the line is 0. Therefore, the value of m is 0. Given the point (-5,9) through which the equation passes, therefore, the value of the constant in the equation of the line can be found by substituting values in the equation.
Therefore, the equation can be written as,
y = mx + c
9 = 0(-5) + c
c = 9
Now, substitute the value of slope and constant in the equation of the line.
y = mx + c
y = 0(x)+ 9
y = 9
Hence, the equation of the horizontal line that passes through the point (−5, 9) is y=9.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
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How do you do 11 I really need help
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Area of a circle:
A = π*r²
where r is the radius
Area of a square:
A = s²
where s is the length of one side
The height and width of the figure are both 4 times the radius of the circle, which is (20 ft)/4 = 5 ft. The side of the square is the diameter of the circle, 10 ft.
The total area is that of 2 full circles of radius 5 ft and one square of side length 10 ft.
.. A = 2*π*(5 ft)² + (10 ft)²
.. = (50π +100) ft²
.. ≈ 257.1 ft²
Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes did it take Derrick to ride his bicycle to the park?
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Since we don't know how many hours it took, we'll say 9 mph = 3 miles/x hours. To solve, we multiply both sides by x. 9x = 3 Dividing both sides by 9, we get that it took 3/9 hours or 1/3 hours. How many minutes are 1/3 hours? 20, so it took Derrick 20 minutes. Hope this helps! :)
Hugs!
- Nicole
Jane altered by using 3/4 of the amount of butter called for the recipe.Jane used 6 tablespoons of butter How many cups of butter did the recipe call for?
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the amount she used is 6 tablespoons.
This means that 6 tablespoons is equivalent to 3/4
4/4 is 1 whole
3/4 --> 6
1/4 --->6/3
4/4 --> 6/3 x 4 = 8 tablespoons
we are told that 16 tablespoons is 1 cup
then 1 tablespoon is - 1/16 cups
therefore 8 tablespoons - 1/16 x 8 = 1/2 cup
answer is C. 1/2 cup
Answer: The correct option is (C) [tex]\dfrac{1}{2}.[/tex]
Step-by-step explanation: Given that Jane altered by using [tex]\dfrac{3}{4}[/tex] of the amount of butter called for the recipe and she used 6 tablespoons of butter.
We are to find the number of cups of butter that the recipe call for.
Let x represents the total number of teaspoons of butter that the recipe call for.
Then, according to the given information, we have
[tex]\dfrac{3}{4}x=6\\\\\Rightarrow 3x=24\\\\\Rightarrow x=8.[/tex]
So, the total number of tablespoons of butter that the recipe call for is 8.
Now, 16 tablespoons = 1 cup.
Therefore, we get
[tex]8~\textup{tablespoons}=\dfrac{1}{16}\times 8=\dfrac{1}{2}~\textup{cups}.[/tex]
Thus, the recipe call for [tex]\dfrac{1}{2}[/tex] cup of butter.
Option (C) is CORRECT.
resolva a seguinte equaçao -8x-13 = 3 por favor preciso da conta
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Here is your answer:
The proper answer to this question is "x-=2".
-8x-13=3
Add 13 both sides:
13+3=16
Divide 8 on both sides:
16/8=2
X=2!
If you need anymore help feel free to ask me!
Hope this helps!
What does this mean I don’t quite get it.
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To find circumference, the formula is
[tex]2\pi \times r[/tex]
So, the answer to this problem would be 31.42
How can you tell Without dividing that the first digit of the quotient 2874÷3 is in the hundreds place
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Jemma wants to teach her son to say thank you, jemma praises him and gives him a hug. Which reinforcement schedule is this?
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This is a clear example of positive reinforcement. Positive reinforcement involves the addition of a positive stimulus that act as a reinforcement to a desired behavior in order to make the behavior more likely happen again in the future. When Jemma praises and hugs his baby, she is using positive reinforcement, so her baby associates the behavior of saying “thank you” with a reward making him more inclined to say thank you again in the future.
We can conclude that Jemma's reinforcement schedule is positive reinforcement.
There are (53)2 ⋅ 50 hens in a bird enclosure. What is the total number of hens in the enclosure?
a) 0
b) 55
c) 56
d) 530
Answers
Answer:
c) [tex]5^{6}[/tex]
Step-by-step explanation:
We have been given that there are [tex](5^3)^2\cdot 5^0[/tex] hens in a bird enclosure. We are asked to find the total number of hens in the enclosure.
Using exponent property [tex]a^0=1[/tex], we will get:
[tex](5^3)^2\cdot 1[/tex]
[tex](5^3)^2[/tex]
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we will get:
[tex]5^{3\cdot 2}[/tex]
[tex]5^{6}[/tex]
Therefore, there are total number of hens in the enclosure would be [tex]5^{6}[/tex].
A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m
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A= 1/2 (b+B)/h
Put values
A=1/2 (12+18)6
A=6/2(30)
A=3(30)
A=90 m²
Answer: 90 m²
HELPPPPPPPPPP PLEASSSEEEE
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2w = 122
This is because there are two bookshelves. w represents the width of each and 122 is the greatest length of the combined shelves. Let's divide by 2 to isolate the w. 2w/2 cancel out. 122/2 is 61. There. w = 61 centimeters. The remaining bookshelves can be 61 centimeters max.
julis needs 2 pounds of beef to make 20 servings of his famouse chili if 5 more people decide to attent the party how many pounds of beef will julius need to make enough chili
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Which equation does the graph represent?
A) y = 2x
B) y = 1/2x
C) y = 1/2 + x
D) y = 2 + x
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y-int = 0
The graph represents equation y = ½x.
The correct answer is B. y = ½x.
Which is the best estimate for the length of a park bench?
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graph the linear equation find three points that solve the equation then plot on the graph -3y=2x-7
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[tex] - 3y = 2x - 7 \\ y = - \frac{2}{3} x - \frac{7}{3} [/tex]
[tex] \binom{1}{2} \: \: \: \: \: \: \binom{5}{ - 1} \: \: \: \: \: \: \binom{8}{ - 3} [/tex]
this is the line
Ten children in a kindergarten class own a dog. Fourteen children in the class do not own a dog. Find the ratio of the number of children who own a dog to the number of children in the class. Express the ratio as a simplified fraction.
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The ratio of the number of children who own a dog to the total number of children in the class is [tex]\frac{ 5 }{ 12}[/tex], after simplifying the fraction [tex]\frac{ 10 }{ 24}[/tex] by dividing both the numerator and denominator by 2.
The question asks to find the ratio of the number of children who own a dog to the total number of children in the class. Ten children own a dog and fourteen do not, making the total number of children in the class twenty-four. To find this ratio, we divide the number of children who own a dog by the total number of children:
Ratio = number of children who own a dog ÷ total number of children in the class
Ratio = [tex]\frac{ 10 }{ (10 + 14)}[/tex]
Ratio = [tex]\frac{ 10 }{ 24}[/tex]
The simplified form of this ratio is found by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
Simplified Ratio = [tex]\frac{ 5 }{ 12}[/tex]
1.At a video arcade , Jenny buys 25 tokens.She uses two tokens for each game She plays.
a ) Write an expression for the number of tokens Jenny left after playing g games.
b) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
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b) 25-2(1)=23
25-2(4)=17
25-2(6)=13
25-2(10)=5
25-2(12)=1
Answer:
The required expression is [tex]25-2g[/tex]
She left with 23 tokens after playing 1 game.
She left with 17 tokens after playing 4 game.
She left with 13 tokens after playing 6 game.
She left with 5 tokens after playing 10 game.
She left with 1 tokens after playing 12 game.
Step-by-step explanation:
Consider the provide information.
Part (A)
At a video arcade, Jenny buys 25 tokens. She uses two tokens for each game She plays.
Let the number of games she plays represented by g.
For each game she need to use 2 tokens.
Thus for g games she will use 2g tokens.
Thus, the required expression is: [tex]25-2g[/tex]
Part (B) Find the number of tokens Jenny has left after playing 1,4,6,10 and 12 games.
The number of tokens Jenny has left after playing 1, is:
[tex]25-2(1)[/tex]
[tex]25-2[/tex]
[tex]23[/tex]
Hence, she left with 23 tokens after playing 1 game.
The number of tokens Jenny has left after playing 4, is:
[tex]25-2(4)[/tex]
[tex]25-8[/tex]
[tex]17[/tex]
Hence, she left with 17 tokens after playing 4 game.
The number of tokens Jenny has left after playing 6, is:
[tex]25-2(6)[/tex]
[tex]25-12[/tex]
[tex]13[/tex]
Hence, she left with 13 tokens after playing 6 game.
The number of tokens Jenny has left after playing 10, is:
[tex]25-2(10)[/tex]
[tex]25-20[/tex]
[tex]5[/tex]
Hence, she left with 5 tokens after playing 10 game.
The number of tokens Jenny has left after playing 12, is:
[tex]25-2(12)[/tex]
[tex]25-24[/tex]
[tex]1[/tex]
Hence, she left with 1 tokens after playing 12 game.
Are these answers correct? Please help!
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The yearbook staff enlarges a picture with a length of 5 inches and a width of 7
inches by a scale factor of 3. The staff decides the enlarged picture is too large and reduces it by a scale factor of 0.5. Will the final image of the picture fit in an area of 80 square inches?
No, the area of the picture is 315 square inches.
Yes, the area of the picture is 35 square inches.
No, the area of the picture is 157.5 square inches.
Yes, the area of the picture is 78.75 square inches.
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present dimensions = 5*7
dimensions after scaling with factor 3 = 15*21
dimensions after reducing by scale factor 0.5 = 7.5*10.5
area of rectangle = length * breadth
so area of yearbook = 7.5*10.5 = 78.75
because, 78.75<80
so, the yearbook will fit in area of 80 inches^2
Find the surface area plz
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If we want to find the surface area of a cube, we need to find the area of one surface first, and then multiply that by 9, since there are 9 sides/surfaces on a cube.
Since each side of a square is the same, we first find the area of one surface:
9 × 9 = 81
Then, to find the surface area, we multiply 81 by 6:
81 × 6 = 486
The surface area is
[tex] 486 \: {in}^{2} [/tex]
which measurement is closest to the volume of the cone in cubic inches . the height is 7.5 & the radius is 5.62 . show work please ?
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Final answer:
The volume of the cone with a height of 7.5 inches and a radius of 5.62 inches is calculated using the formula V = (1/3)πr²h and is approximately 589.05 cubic inches.
Explanation:
To find the volume of a cone with a height of 7.5 inches and a radius of 5.62 inches, you use the formula for the volume of a cone, which is V = (1/3)πr²h. Here, r represents the radius and h represents the height of the cone.
First, calculate the area of the base (A) which is π times the radius squared:
A = π × (5.62 in)²
This gives us the area of the base. Then, multiply by the height (7.5 inches) and divide by 3 to find the volume:
V = (1/3) × A × h = (1/3) × π × (5.62 in)² × 7.5 in
Now, plug in the value for π (approximately 3.14159) and calculate:
V ≈ (1/3) × 3.14159 × (5.62²) × 7.5
V ≈ 589.05 cubic inches (rounded to two decimal places).
Therefore, the volume of the cone is approximately 589.05 cubic inches.
Paul bakes loaves of bread and bread rolls in the ratio of 2:5. If he bakes 750 bread rolls, how many loaves will he bake? A recipe for 24 chocolate chip cookies requires: 200 g sugar 100 g butter 1 egg 1 tsp vanilla extract 180 g flour 140 g melted chocolate 170 g chocolate chips
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Answer:
He will bake 300 loaves of bread.
Step-by-step explanation:
Paul bakes loaves of bread and bread rolls in the ratio of 2 : 5
Suppose, the number of loaves of bread he will bake [tex]=x[/tex]
Given that, he bakes 750 bread rolls.
So, according to the given ratio, we will get......
[tex]\frac{loaves\ of\ bread}{bread\ rolls}=\frac{2}{5}\\ \\ \frac{x}{750}=\frac{2}{5}\\ \\ 5x=1500\ [by\ cross\ multiplication]\\ \\ x=\frac{1500}{5}\\ \\ x=300[/tex]
So, he will bake 300 loaves of bread.
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Find the width and length.
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Let the length of rectangle be l
breadth be b
so ,
b+5 = l
perimeter = 2 × ( l+b) = 150
2b + 5 = 75
b = 35
so l = 40
This system of equations represents Reese’s pocket change. Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket. n + d = 11 5n + 10d = 70 How many dimes are in Reese’s pocket?
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Answer: 3 dimes
Step-by-step explanation:
Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket.
Given system : [tex]n+d=11........(1)\\5n+10d=70............................(2)[/tex]
Divide equation (2) by 3 on both sides, we get
[tex]n+2d=14................................(3)[/tex]
Subtract equation (1) from (3), we get
[tex]d=3[/tex]
Hence, there are 3 dimes in Reese's pocket.
Answer:
3 dimes are in Reese's pocket.
Step-by-step explanation:
Here, n represent the number of nickels and d represent the number of dimes.
Given the system of equations:
[tex]n+d = 11[/tex] .....[1]
[tex]5n+10d = 70[/tex] .....[2]
Multiply both sides by 5 in [1] we have;
[tex]5n+5d=55[/tex] .....[3]
Subtract equation [3] from [2] we have;
[tex]5d = 15[/tex]
Divide both sides by 5 we have;
d = 3
Therefore, 3 dimes are in Reese's pocket.
Please help show work
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Volume of a cuboid:
.. V = l*w*h
.. = (38")*(10")*(1")
.. = 380 in³
Volume of a cylinder:
.. V = (π/4)*d²*h
.. = (3.14/4)*(1")²*(12")
.. = 9.42 in³
Total volume = Volume of cuboid + Volume of cylinder
.. = 380 in³ +9.42 in³
.. = 389.42 in³
The volume of the coat rack is approximately 389.42 in³.
Peter walked for 2/5 mile to Fred's house in then a half a mile to the park how can he write 2/5 and 1/2 as a pair of fractions with a common denominator. Plz show steps