Answer:
5.33333333333
Step-by-step explanation:
2/3= 0.66666666666
0.66666666666 x 8= 5.33333333333
:)
Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?
The length of segment A'B' from the triangle A'B'C' is 6 units.
Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
In the given triangle ABC, AB=3 units
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
2=Dimensions of the new shape/3
Dimensions of the new shape=6 units
Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.
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https://brainly.com/question/22312172.
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simplify the following 6(1/2+1/3)
Answer:
5
Step-by-step explanation:
use the distributive property
6 * 1/2 = 3
6 * 1/3 = 2
3 + 2 = 5
Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!
-Lil G
If 3 cans of orange juice cost $2.15, what will 9 cans cost?
Answer: $6.45
Step-by-step explanation:
Take the total cost of 3 cans of orange juice
$2.15
Now multiply $2.15 by 3
$2.15x3
You will get
$6.45
Answer:
3 : $2.15
9 : ? (more)
9/3 × $2.15 = $6.45
find the value of x pleaseee
Answer:
57 degress
Step-by-step explanation:
alternate angles theorem
-4x-16=2x+2 does anyone know what this would be
Answer:
-3
Step-by-step explanation:
-4x-16=2x+2
-4x-2x= 16+2
-6x = 18
x = 18/-6 = -3
I hope im right!!
Answer:
Step-by-step explanation:
-4x-16=2x+2
-4x-16+16=2x+2+16
-4x=2x+18
-4x-2x=2x+18-2x
-6x=18
{-6x over {-6} = {18} over {-6}
simplify
x=-3
Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the percent of increase in the number of students from the beginning of the year to the end of the year?
Answer: 15%
Step-by-step explanation:
Answer:
Step-by-step explanation:
A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Factorise the expressions.
Answer:
7 ([tex]y^{2}[/tex] + 6[tex]Z^{2}[/tex])
3a (x - 2y) - 4b(2y - x)
pq(p - 1) - [tex]r^{2}[/tex]( p - 1)
Step-by-step explanation:
(ii) 7y^2+35Z^2
=7(y^2+5Z^2)
(v) 3ax-6ay-8by+4bx
=x(3a+4b)-2y(3a+4b)
=(3a+4b)(x-2y)
viii)p^2q-pr^2-pq+r^2
=pq(p-1)-r^2(p-1)
=(p-1)(pq-r^2)
3. Tim had 253 dollars to spend on 7 books. After
buying them he had 15 dollars. How much did each book cost?
Answer:
each book costs $34
Step-by-step explanation:
assuming that all the books cost the same,
253-15=238
238/7=34
Answer: Each book cost $34.
Step-by-step explanation:
First subtract 253-15.
253-15=238.
Then divide 238/7.
238/7=34
Hope this helps :)
Prove that if a^x=b^y=ab^xy then x+y=1
Answer:
Below.
Step-by-step explanation:
Prove that if
a^x = b^y = (ab)^(xy) then x + y = 1.
From the second equation:
y = 1 - x
So we have:
a^x = b^y = b^(1-x)
Taking logs:
x ln a = (1-x)ln b
x ln a + x ln b = ln b
x = ln b / ( ln a + ln b)
x = ln b / ln ab.
This is true if x + y = 1.
Now consider b^y = (ab)^(xy):
b^(1 - x) = (ab)^(x(1- x)
ln b - x ln b = x(1 - x)ln ab
ln b - x ln b = x ln ab - x^2 ln ab
Now we substitute for x = ln b / ln ab in this expression.
If left side = right side then we have proved this identity and therefore the original one.
Left side = ln b - (ln b / ln ab) * ln b = ln b - (ln b)^2 / ln ab.
Right side = (ln b / ln ab) * ln ab - [(ln b)^2 / (ln ab)^2] * ln ab
= ln b - (ln b)^2 / ln ab.
Left side = right side so this identity is true, and so the original one
( x + y = 1) is true also.
Here are Xavier's bowling scores:
132, 140, 130, 190, 112, 200, 185, 172, 163,
151, 149
What is the upper quartile?
helppp
Answer:
UQ = 185
Step-by-step explanation:
the median separates the data set into the lower quartile and upper quartile
The median of this data set is 151
The lower quartile is the median of the lowest five values, or 132
The upper quartile is the median of the highest five values, or 185
The upper quartile score for highest half of the score is 185.
What is median?
A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
For the given situation,
Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.
Arrange this scores in the ascending order to find the median.
⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].
There are totally 11 scores.
So the median is middle most number, that is 5th score in the list.
The median is [tex]151[/tex].
The scores after 151 are highest half scores. Now there are five scores.
Upper quartile scores list are [tex]163,172,185,190,200[/tex].
Thus, the middle most score [tex]185[/tex] is the upper quartile score.
Hence we can conclude that the upper quartile score for highest half of the score is 185.
Learn more about median here
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please help me its hard!
Answer:
600
Step-by-step explanation:
Consider ABC and ACD as two triangles. And AC as a base to both of them
so,
AC = AO + OC
= 15 + 25
= 40
Now the area of ABC =
[tex]\frac{1}{2}\times AC\times OB\\= \frac{1}{2}\times 40 \times 10\\= 200[/tex]
In the same way, the area of ACD =
[tex]\frac{1}{2}\times AC\times OD\\= \frac{1}{2}\times 40 \times 20\\= 400[/tex]
Both added together 400 + 200 = 600
A jury pool has 18 people that are married and 22 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.)
plot the flowing points on the number line without measuring.
Answer:
1/4, 3/5, 8/10
Step-by-step explanation:
3/5 is greater than 1/4
(2/4 is equal to 2.5/5---that should give you a visual picture why)
8/10 is greater than 3/5
3/5 multipled by 2 is 6/10
so, 6/10<8/10
Answer:
1/4 then 3/5 then 8/10
Step-by-step explanation:
i did this and got a 100%
Martin’s running ability is measured by this proportion: StartFraction 1 over 7 EndFraction = StartFraction 3 over 21 EndFraction Use the proportion to identify the values of the variables that complete the rate table
Answer:
A=49
B=10
C=105
Step-by-step explanation:
Hope this helps :D !!
Answer:
I am doing edg and A=49 B=10 and C =105 i guessed and i got them correct hope this helps
Step-by-step explanation:
Help me please please help me
Graph the line x = 3.
Answer: this my graph
Step-by-step explanation:
Please helpppp!!!! Thanks
Answer:
I think it would be the first choice however I may be wrong
Step-by-step explanation:
1.4x + 3.5y
help! 6th grade :)
Answer:
Step-by-step explanation:
Simplifying
1.4x + 3.5y = 0
Solving
1.4x + 3.5y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3.5y' to each side of the equation.
1.4x + 3.5y + -3.5y = 0 + -3.5y
Combine like terms: 3.5y + -3.5y = 0.0
1.4x + 0.0 = 0 + -3.5y
1.4x = 0 + -3.5y
Remove the zero:
1.4x = -3.5y
Divide each side by '1.4'.
x = -2.5y
Simplifying
x = -2.5y
a man gets $312 for working 48 hours a week. how much does he get when he works 36 hours a week?
Answer:
$234
Step-by-step explanation:
Create a proportion where x is the amount he gets working 36 hours
[tex]\frac{312}{48}[/tex] = [tex]\frac{x}{36}[/tex]
Cross multiply and solve for x
48x = 11232
x = 234
So, when he works 36 hours a week, he will get paid $234
Answer:
assuming he is paid hourly?
312÷48= 6.50/hour
so, 6.50÷36= $234
Analyze the results of the correlation using the given residual plot.
Answer:
Last one
Step-by-step explanation:
Answer:Analyze the results of the correlation using the given residual plot.
Residual
Step-by-step explanation:
If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?
Answer:
[tex]4x+6[/tex] units
Step-by-step explanation:
Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms
1) To solve this problem, you need to understand the perimeter formula, and that is:
--> [tex]P = 2(L+W)[/tex]
P = Perimeter
L = Length
W = Width
2) Based on that, we are given that:
[tex]L = x[/tex] (since the length is x)
[tex]W = x+3[/tex] (since the width is x+3)
3) After that, we substitute in the values:
[tex]P = 2(L+W)[/tex]
[tex]P = 2(x+(x+3))[/tex]
[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)
so: [tex]P=2(2x+3)[/tex]
Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]
get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]
[tex]2(2x) = 4x[/tex]
[tex]2(3) = 6[/tex]
So: [tex]P = 4x+6[/tex]
Hope this helps and have a nice day!! :) :]
What is one half to the fifth power?
Find the lettered angles.
The function f(x) = -(x + 5)(x + 1) is shown.
What is the range of the function?
10
8
O all real numbers less than or equal to 4
O all real numbers less than or equal to -3
O all real numbers greater than or equal to 4
O all real numbers greater than or equal to -3
6
2
-10
-8
4
-2
2
4
8
8
10
X
4
-6
8
-10
Answer:
a
Step-by-step explanation:
f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)
=-(x+3)^2+4
Range: all numbers ≤4
Find the Surface area S of each prism (the numbers are 3,5,4,8)
Answer:
Did u ever get the answer to this?
Step-by-step explanation:
the slide at the playground has a height of 6 feet. the base of the slide measured on the ground is 8 feet. what is the length of the slide?
Answer: 10 feet
Step-by-step explanation:
given that f(x)=2x-5, find the value of x that makes f(x)=15
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x - 5
f(x) = 15
Step 2: Solve for x
Substitute in f(x) [Function]: 15 = 2x - 5[Addition Property of Equality] Add 5 on both sides: 20 = 2x[Division Property of Equality] Divide 2 on both sides: 10 = xRewrite: x = 10Please Help
Are 7n -2 and 2 - 7n equivalent expressions?
The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5
Answer:
x = 2/3
Step-by-step explanation:
Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:
[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])
Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:
[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]