Given:
[tex]OA=3[/tex] units
[tex]OA'=9[/tex] units
To find:
The scale factor of the dilation.
Solution:
From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,
[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]
Putting the given values, we get
[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]
[tex]\text{Scale factor}=3[/tex]
Therefore, the scale factor of the dilation is 3.
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Tiana Lott
Write Single Inequality from Context
Jan 15, 11:07:31 AM
?
Michael has n nickels and d dimes. He has no more than 20 coins altogether. Write
this situation as an inequality.
Anstrer
Setomít. Arower
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what are the common denominators for 2/12 and 7/8
plz help
Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
Please help
Need working for 2 and 3
Answer:
Question 3:
51/16
As a mixed number =
3 3/16
Step by step explanation:
You have to convert the fraction into improper fractions so 8 ½ = 17/2
and 2⅔ = 8/3
then you do 17/2 ÷ 8/3 which =
51/16 theb turn this number into a mixed number which is
3 3/16
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
Find the value of θ in radius
Step-by-step explanation:
the answer is explained above
A pair of shorts regularly cost $35 are on sale for 20% off what is the price of the shorts?
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
could someone please help me with this
Answer: i think it would be D
Step-by-step explanation:
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Pls help and explain why!
Answer:
A, SSS
Step-by-step explanation:
the 3 sides are equal with the other triangle
Answer:
SSS
Step-by-step explanation:
The triangles have three of the same sides, so it would be SSS.
Hope this helps!
Please mark me brainliest if possible. :)
24x0. 6x1. 21x2. 11x5
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
estimate the value of
[tex] \frac{ \sqrt{2\pi} }{ \sqrt{5} } [/tex]
PLEASE HELP MEEEE!!!!!!!
Answer:
its a black picture...?
Step-by-step explanation:
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?
Answer:
The density of the marble is 2,000 kg/m³
Step-by-step explanation:
The given parameters for finding the density of the marble are;
The volume of water in the graduated cylinder, v₁ = 20 ml
The mass of the marble dropped into the graduated cylinder, m = 8 g
The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml
Therefore, the volume of the marble, v = v₂ - v₁
Substituting the known values gives;
The volume of the marble, v = 24 ml - 20 ml = 4 ml
Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³
Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;
[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml
1 g/ml = 1 kg/l = 1,000 kg/m³
∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.
Tessa likes to carve bird and cat figures out of wood. She has carved 4 times as many bird figures as cat figures. If Tessa has carved 24 bird figures, how many figures has she carved altogether?
Tessa carved a total of 30 figures including bird and cat figures.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
let, The number of cat figures is 'x'.
Given, She has carved 4 times as many bird figures as cat figures.
Therefore, 4x = 24.
x = 24/4.
x = 6.
So, Tesaa carved 6 cat figures and hence she carved a total of
24 + 6 = 30 figures.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
$9000 principal earning 5% compounded annually, after 6 yr
Answer:
the answer is
$12,130.64
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
GIVING THE BRIANLEIST FOR THE CORRECT ANSWER TO HELP ME WITH MY QUESTIONS!!!
1.
you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe. How much sugar do you need to make this fraction of the recipe?
1/12 Cups
7/12 Cups
3/4 Cups
4/3 Cups
-------------------------------------------------------------------------------------------------------------------
2.
You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?
1/8
1/4
1/2
2/1
------------------------------------------------------------------------------------------------------------------
3.
Your class of 32 students is divided into fourths to create groups to answer a set of questions together. Then, one-fourth of each group has to go to the front of the classroom and read off the group's answers. How many students go up to the classroom for each group?
2
4
6
8
SHOW YOUR WORK PLSSSSS
Answer:
2
Step-by-step explanation:
32 divided by 4 is 8
1/4 of 8= 2
Need help this is my last one i need can anybody help i don't get it thanks if you do help
Answer:
its c
Step-by-step explanation:
Hope this Helps!!!
10. What is the value of xin the equation below?
4
2
+
7
2