HELP ME Write and solve a proportion to find y.
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
[tex]d'\propto d[/tex]
[tex]d'=kd[/tex]
[tex]\dfrac{d'}{d}=k[/tex]
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
[tex]k=\dfrac{OB'}{OB}[/tex]
[tex]k=\dfrac{36}{16}[/tex]
[tex]k=\dfrac{9}{4}[/tex]
We know that,
[tex]k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}[/tex]
[tex]\dfrac{9}{4}=\dfrac{A'C'}{AC}[/tex]
[tex]\dfrac{9}{4}=\dfrac{27}{y}[/tex]
[tex]9\times y=27\times 4[/tex]
Divide both sides by 9.
[tex]y=\dfrac{27\times 4}{9}[/tex]
[tex]y=3\times 4[/tex]
[tex]y=12[/tex]
Therefore, the value of y is 12.
how do I Round my answer to the nearest whole number?
Answer:
So when you are round here is a trick or easy way to round, if 1-4 then round down. If it is 5-9 then round up.
Step-by-step explanation:
It might take time but when rounding you mostly round Depending on if your question saw round to the nearest tens or ones.
there are 12 boys than girls in a class of 60 find the number of boys and girls
Answer:
boys : 36
girls : 24
Step-by-step explanation:
60 - 12 = 48
48 ÷ 2 = 24 (girls)
24 + 12 = 36 (boys)
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Someone please help
Answer:
help with what?
Step-by-step explanation:
plz tell me the question and i can help :)
In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano?
Answer:
57
Step-by-step explanation:
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
Answer:
In mih's school there are 100 boys
While in Ella's school there are 80 boys
Step-by-step explanation:
X*1/5=20
X=100
X*1/4=20
X=80
See attactched pdf file (trigonometry)
Answer:
Step-by-step explanation:
∠VMC=180-90-48
=42
∠PMV=180-22-90-42
=26
5/sin48=VM/sin90
VM=6.728( correct to three decimal places)
6.728/sin22=PV/sin26
PV=7.873( correct to three decimal places)
Tom wants to invest $500. He invests in a company that predicts his investment will double in value every 3 years. This situation can be modeled by the
function f(x) = 500 -23 where x represents the number of years Tom leaves his money with the company. Which graph models this situation?
Answer:
Graph A bc it's the only graph that shows that every 3 years his investment doubles.
find the length of the missing side
sorrbut is this phythagroas theorm
Answer:
[tex]\sqrt{51}[/tex]
Step-by-step explanation:
It's a right triangle so, [tex]a^{2} +b^{2} =c^{2}[/tex]
a=7
c=10
b=?
49+[tex]b^{2}[/tex]=100
100-49=[tex]b^{2}[/tex]
51=[tex]b^{2}[/tex]
b=[tex]\sqrt{51}[/tex]
[tex]three times the sum of some number and 2 is equal to 15. Find the number?[/tex]three times the sum of some number and 2 is equal to 15. Find the number?
Answer:
Step-by-step explanation:
3(x+2) = 15
X+2 = 5
X = 3
joe bought 8 tickets to indoor trampoline park for 60$
An object of mass 40kg moves with an acceleration of 10m/s2 calculate the force of the object
Answer:
F=Mxa
Step-by-step explanation:
Therefore, Mass of 40kg x 10ms² = 400N
A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)
Answer:
The school has 6 periods a day needs 1 hour for each.
Step-by-step explanation:
8 period =45×8=360 minute
6 perod =360/6=60minute
5 in.
6 in.
5
in.
10 in.
18 in.
How do I find the volume of it
Answer:
545
Step-by-step explanation:
Sally collected 32 coins. The ratio of Sally’s coins to Bill’s coins is 4 : 7. If Sally and Bill each double the number of coins they have now, what is the ratio of Sally’s coins to Bill’s coins?
Answer:
64 S
----
112 B
Step-by-step explanation:
The number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
What is the ratio?
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that Salley collected 32 coins, the ratio of Sally’s coins to Bill’s coins is 4: 7, and Sally and Bill each double the number of coins they have now.
Suppose the number of coins that Sally and Bill will be 4x and 7x respectively.
If Sally has the 32 coins and if she doubles the coins she has 64.
4x = 64
x =16
Sally’s coins,
4x = 4 × 16 =64
Bill’s coins,
7x =7× 16 = 112
Thus, the number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
Learn more about the ratio here:
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12 : 50 : :18: ? what is the answer?
Answer:
6:25:9
Step-by-step explanation:
12:50:18
6:25:9
I think the question is asking for the ratio to be simplified, if so then that's what the answer is.
Answer:
75
Step-by-step explanation:
12 : 50 :: 18 : x
In proportion, Product of extremes = Product of means
12 * x = 50*18
[tex]x =\frac{50*18}{12}=\frac{50*3}{2}[/tex]
x = 25 * 3 = 75
what is 25 divided by 465d
Answer:
0.0537634409. This is your answer.....
Hope it helps!!!!!
Answer:
465 divide 25 = 18.6
25 divide 465 is 0.05347634
Step-by-step explanation:
10. Walter makes a cable payment of $84 each month. Which table
represents the relationship between m, the number of months,
and c, the amount he has paid for cable for that length of time?
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
PLS HELP ME AND MAKE SURE TO SHOW HOW U GOT UR ANSWER
Answer:A.112
each piece of pizza has 28 pieces of pepporoni
so you would do 4*28 to get 112
Step-by-step explanation:
we know 8 x 5 = 40
so which of the following statements are also true.
A: 8 is a factor of 40
B: 5 is a multiple of 8
C: 5 is a factor of 40
Answer:
A and C are true
Step-by-step explanation:
because 8*5=40 so 8 and 5 both are factors of 40
the answer is c
Step-by-step explanation:
if you count by fives. 5 10 15 20 25 30 35 40. you get 40.
A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)
Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
(12.02 HC)
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new
meteor?
Length of Meteors
x x
X X X
Х
х
х
x x
Х
x x
Measurement in inches
O 1 inch
100
inches
o
CON
Inches
3 inches
Answer:
1 3/8 inches
Step-by-step explanation:
Total Length after adding 2 meteors of equal length = 16 inches
Let the length of the added meteor = x
To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;
(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16
13.25 + 2x = 16
13.25 + 2x = 16
2x = 16 - 13.25
2x = 2.75
x = 1.375
1.375 = 1 3/8
180% is equivalent to what decimal value
Answer:
1.80
Step-by-step explanation:
1%=0.01
10%=0.10
100%=1.00
Latoya's piano recital started at 3:51 PM.
It ended at 5:27 PM.
How long did the recital last?
hour(s) and 3 minute(s)
Answer:
1 hour and 36 minutes
Step-by-step explanation:
.) Which ordered pair shows an equivalent ratio
of pounds to dollars?
(24,30)
(20,25)
(25, 20)
(40.36)
Answer:
I think (25, 20) is your answer. hope it helps.
The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The coordinates from graph are (5, 4), (10, 8), (15, 12) and (20, 16).
Equivalent ratios are ratios that can be simplified to the same value by dividing both the values by a common fraction.
Here,
(5, 4)=5(5, 4)=(25, 20)
(10, 8)=2(10, 8)=(20, 16)
(15, 12)=2(15, 12)=(30, 24)
(20, 16)
The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.
To learn more about the ratio visit:
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Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
Slugging Percentages for Leading Major League Baseball Players
0.612 0.612 0.523 0.523
0.606 0.606 0.631 0.631
0.584 0.584 0.592 0.592
0.644 0.644 0.597 0.597
0.639 0.639 0.607 0.607
0.564 0.564 0.673 0.673
Answer:
[tex]s = 0.0394[/tex]
Step-by-step explanation:
Given:
0.612 0.523 0.606 0.631 0.584 0.592 0.644 0.597 0.639 0.607 0.564 0.673
Required
Calculate the sample standard deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]
[tex]\bar x = \frac{7.272}{12}[/tex]
[tex]\bar x = 0.606[/tex]
The sample standard deviation is then calculated using:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]
[tex]\sum (x - \bar x)^2 = 0.017098[/tex]
So, we have:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]
[tex]s = \sqrt{0.00155436363}[/tex]
[tex]s = 0.0394[/tex] -- approximated
Caroline and Chase are working on math homework. They decide to race to see who can finish first. Caroline is on number 12 and can solve 1 math problem in 1.5 minutes. Chase is on number 16 and can solve 1 math problem in 2 minutes. How many minutes will it take before they are on the same problem?
Answer:
It will take 24 minutes before they are on the same problem.
Step-by-step explanation:
Caroline is on number 12 and can solve 1 math problem in 1.5 minutes.
Per minute, she solved [tex]\frac{1}{1.5} = \frac{2}{3}[/tex] of a problem. So, after t minutes, she will be on the problem:
[tex]Ca(t) = 12 + \frac{2t}{3}[/tex]
Chase is on number 16 and can solve 1 math problem in 2 minutes.
Per minute, he solved [tex]\frac{1}{2}[/tex] of a problem. So, after t minutes, he will be on the problem:
[tex]Ch(t) = 16 + \frac{t}{2}[/tex]
How many minutes will it take before they are on the same problem?
This is t for which:
[tex]Ca(t) = Ch(t)[/tex]
So
[tex]12 + \frac{2t}{3} = 16 + \frac{t}{2}[/tex]
[tex]\frac{2t}{3} - \frac{t}{2} = 4[/tex]
[tex]\frac{4t-3t}{6} = 4[/tex]
[tex]\frac{t}{6} = 4[/tex]
[tex]t = 24[/tex]
It will take 24 minutes before they are on the same problem.
12 of the students in the art class like to draw animals these 12 students make up 24% of the art class how many students are in the art class
Answer:
50 students in total or X=50
Step-by-step explanation: 12 is 24% of X
We can make this into a box-like figure
12 24
X 100 X is the missing number
We then multiply 12 by 100 which equals to 1,200.
We then divided the 1,200 by 24, this results in your X which equals to 50.
X=50 students
