Answer:
The image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
Step-by-step explanation:
Let suppose the given point is A(18, 9)
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 1/3 centered at the origin
P(x, y) → P'(1/3x, 1/3y)
Here, P'(1/3, 1/3y) 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 1/3.Thus,
A(18, 9) → A'(1/3(18), 1/3(9)) = A'(6, 3)
Therefore, the image of A(18, 9) after dilation by a scale factor of 1/3 will be: A'(6, 3).
A bag has 2 blue, 3 red, and 5 yellow tiles. Find the probability of picking a blue tile.
Given:
A bag has 2 blue, 3 red, and 5 yellow tiles.
To find:
The probability of picking a blue tile.
Solution:
We have,
Number of blue tiles = 2
Number of red tiles = 3
Number of yellow tiles = 5
Total number of tiles = [tex]2+3+5[/tex]
= [tex]10[/tex]
Now, the probability of picking a blue tile is
[tex]P(\text{Blue})=\dfrac{\text{Number of blue tiles}}{\text{Total number of tiles}}[/tex]
[tex]P(\text{Blue})=\dfrac{2}{10}[/tex]
[tex]P(\text{Blue})=0.2[/tex]
Therefore, the probability of picking a blue tile is 0.2.
simplify each expression.
1. 3x + 2(5x - 7)
2. 9 - 3(2x - 4)
3. 8x - 6(3 - 2x)
4. -5 + 5(x + 4)
5. 4 (6n + 9) - 10n
6. 14 - 3(4n - 1)
7. -8n + 8(4 + 2n)
8. 7k - 2(3k + 1) - 9
9. k + 1 - 4(2k - 9)
10. -6 + 5(8 - k) - 8k
11. -10k - 3 + 2(5 + 6k)
12. 8 + 9x + 4(11 - 2x)
13. -4(2x - 7) + 6x - 7
14. 9 + 3(4 - 3x) + 12x
15. 5(2y - 4) + 2(y + 9)
16. -4(3u - 1) +7(3 - 2u)
17. 6(-5u + 1) - 3(4u - 12)
18. -3(u + 5) + 8(2u + 1)
Answer:
1. 13x - 14
2. 21 - 6x
3. 20x - 18
4. 15 + 5x
5. 14n + 36
6. 9 - 12n
7. 8n + 32
8. k - 11
9. -7k +37
10. 36 - 13k
11. 2k + 7
12. 52 + x
13. -2x -21
14. 21 + 3x
15. 12v - 2
Step-by-step explanation:
Answer:
Below ↓
Step-by-step explanation:
[tex]1)\:\sf 3x + 2(5x - 7)[/tex]
[tex]\sf 3x+10x-14[/tex]
[tex]\sf 13x-14[/tex]
____________
[tex]\sf 2)\: 9 - 3(2x - 4)[/tex]
[tex]\sf 9-6x+12[/tex]
[tex]\sf -6x+21[/tex]
____________
[tex]\sf 3)\: 8x - 6(3 - 2x)[/tex]
[tex]\sf 8x-18+12x[/tex]
[tex]\sf 20x-18[/tex]
____________
[tex]\sf 4)\: -5 + 5(x + 4)[/tex]
[tex]\sf -5+5x+20[/tex]
[tex]\sf 5x+15[/tex]
____________
[tex]\sf 5) \:4 (6n + 9) - 10n[/tex]
[tex]\sf 24n+36-10n[/tex]
[tex]\sf 14n+36[/tex]
____________
[tex]\sf 6)\:14 - 3(4n - 1)[/tex]
[tex]\sf 14-12n+3[/tex]
[tex]\sf -12n+17[/tex]
______________
[tex]\sf 7) \: -8n + 8(4 + 2n)[/tex]
[tex]\sf -8n+32+16n[/tex]
[tex]\sf 8n+32[/tex]
______________
[tex]\sf 8)\:7k - 2(3k + 1) - 9[/tex]
[tex]\sf 7k-6k-2-9[/tex]
[tex]\sf k-11[/tex]
______________
[tex]\sf 9)\: k + 1 - 4(2k - 9)[/tex]
[tex]\sf k+1-8k+36[/tex]
[tex]\sf -7k+37[/tex]
_______________
[tex]\sf 10)\:-6 + 5(8 - k) - 8k[/tex]
[tex]\sf -6+40-5k-8k[/tex]
[tex]\sf 34-13k[/tex]
__________________
[tex]\sf 11)\: -10k - 3 + 2(5 + 6k)[/tex]
[tex]\sf -10k-3+10+12k[/tex]
[tex]\sf 2k+7[/tex]
__________________
[tex]\sf 12)\: 8 + 9x + 4(11 - 2x)[/tex]
[tex]\sf 8+9x+44-8x[/tex]
[tex]\sf x+52[/tex]
_________________
[tex]\sf 13)\: -4(2x - 7) + 6x - 7[/tex]
[tex]\sf -8x+28+6x-7[/tex]
[tex]\sf -2x+21[/tex]
_________________
[tex]\sf 14)\: 9 + 3(4 - 3x) + 12x[/tex]
[tex]\sf 9+12-9x+12x[/tex]
[tex]\sf 3x+21[/tex]
_________________
[tex]\sf 15)\: 5(2y - 4) + 2(y + 9)[/tex]
[tex]\sf 10y-20+2\left(y+9\right)[/tex]
[tex]\sf 10y-20+2y+18[/tex]
[tex]\sf 12y-2[/tex]
____________________
[tex]\sf 16)\: -4(3u - 1) +7(3 - 2u)[/tex]
[tex]\sf -12u+4+7\left(3-2u\right)[/tex]
[tex]\sf -12u+4+21-14u[/tex]
[tex]\sf -26u+25[/tex]
___________________
[tex]\sf 17)\: 6(-5u + 1) - 3(4u - 12)[/tex]
[tex]\sf -30u+6-3\left(4u-12\right)[/tex]
[tex]\sf -30u+6-12u+36[/tex]
[tex]\sf -42u+42[/tex]
___________________
[tex]\sf 18)\: -3(u + 5) + 8(2u + 1)[/tex]
[tex]\sf -3u-15+8\left(2u+1\right)[/tex]
[tex]\sf -3u-15+16u+8[/tex]
[tex]\sf 13u-7[/tex]
______________________________________________
Please Help!!
1. Name the corresponding angels, are they equal?
2. Name the alternate angle, are they equal?
3. Name the interior angels, are they supplementary?
Answer:1 acute and obtuse angles
Step-by-step explanation:
Point j to n to m makes one angle and point f to m to e makes another one
Helpppp plzzz
Thank you
Answer:
a) GCF = 8
Step-by-step explanation:
b)
Subject : Maths
Level : High school
Topic : Surds
Points : 72
Answer:
a = 5Step-by-step explanation:
Simplify:
√5(√8 + √18) =√5*8 + √5*18 =√40 + √90 =√4*10 + √9*10 =2√10 + 3√10 =(2 + 3)√10 =5√10The value of a:
a√10 = 5√10a = 5Which paint costs the most per quart? TWO pints = ONE quart FOUR quarts = ONE gallon
Glide Paint: 1 gallon for $28.92
Smooth Paint: 3 quarts for $22.75
One-Coat Paint: 4 pints for $15.00 7.5 is the answer to this one when it's 1 quart
these are the choices
1. One-Coat Paint
2. Smooth Paint
3. Glide Paint
Answer:
2. Smooth paint
Step-by-step explanation:
Im pretty sure that's the answer, good luck!
Answer:
B. Smooth paint
Step-by-step explanation:
Glide Paint is $3.61 per pint
Smooth Paint is $3.79 per pint
One Coat is $0.26 per pint
Multiply the binomials. (3x-y)(x+2y) and (x +6)^2
Answer:
tt
Step-by-step explanation:
boi
Examine the system of equations.
2x − 4y = 6
x − 2y = 3
How many solutions does this system of equations have?
Answer:
Infinite
Step-by-step explanation:
maf
30 POINTS PLZ HELP
Which graph represents the function g(x)=(3.5)^x−1?
Answer:
top left graph
Step-by-step explanation:
I plugged the equation into Desmos and got it
Mrs. Palma took her coworkers out to dinner yesterday and their subtotal was $72.39
If the sales tax is 5% and she plans to leave a 20% gratuity after the tax it is added, how much will Mrs. Palma spend total on dinner?
A) $82.54
B) $86.87
C) $90.48
D) $91.21
Answer:
C) $90.48
Step-by-step explanation:
72.39*.2=14.478
72.39*.05=3.6195
14.478+3.6195=18.0975
18.0975+72.39=90.4875
What is RS? Please help will give Brainlyest.
Answer:
RS = 47Step-by-step explanation:
RV=VU and SW=WT ⇒ [tex]VW=\dfrac{RS+UT}{2}[/tex]
Therefore:
[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}[/tex]
3x + 5 = 4x - 11 {subtract 5 from both sides)
3x = 4x - 16 {subtract 4x from both sides)
-x = -16 {divide both sides by (-1)}
x=16
So:
RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47
compare the slopes of parallel lines and perpendicular lines?
Answer: C
Step-by-step explanation: l-7&!:
Simplify the expression-1/2 (-5/6 +1/3)
Answer:
The first option 5/12 - 1/6
Step-by-step explanation:
5/12 - 1/6
Just open the parenthesis and be careful of the signs.
Need answer fast please
Answer:
c. -8
Step-by-step explanation:
How much did joe earn caddying if he got 35$ plus a 20% tip
The graph shows quadrilaterals Q and R.
BH
6
4
2
2 4 6
-8 -6 -4 -2
-21
-4
-6
Which statement justifies whether or not the two quadrilaterals are congruent?
O A. Yes, because R is the result of reflecting Q across the x-axis.
B. Yes, because R is the result of reflecting across the line y = x.
OC. No, because R can only be obtained from Q by a series of rigid transformations.
OD. No, because R cannot be obtained from Q by a series of rotations and translations.
OE. Yes, because R is the result of rotating Q by 90° counter-clockwise about the origin.
Answer:
i think it is B!
Step-by-step explanation:
im doing the test right now and its realistically the only one that makes sense
Please help brainiest will be award !!
Answer:
served a greater variety of ages and then range
hope it helped!
Step-by-step explanation:
Which statement is true? A. All rhombuses have all sides equal. All quadrilaterals are rhombuses, so they have all sides equal. B. All quadrilaterals have four sides. All rhombuses are quadrilaterals, so they have four sides. C. All rhombuses have opposite sides parallel. All quadrilaterals are rhombuses, so they have opposite sides parallel D. Some quadrilaterals have four night angles. All rhombuses are quadrilaterals, so they have four right angles
Answer:
A
Step-by-step explanation:
It should be A
How do mathematical expressions and mathematical equations differ ?
Answer:
An equation has an equal sign.
Step-by-step explanation:
Expressions are things such as 3/4 +6. Or even 3 < 4
An equation would be 4+1 = 5 or 3x +2y=0.
An equation is two expressions connected by a =
Answer: See explanation
Step-by-step explanation:
An expression consists of a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
Hope this helped!
A system of linear equations is given by the graph. Okie what is the system shown?
A.
Y = 2/3x
Y = -2/4x - 5
B.
Y = -2/3x
Y = 3/4x - 5
C.
Y = 3/4x
Y = -2/3x - 5
D.
Y = -3/4x
Y = 2/3x - 5
Answer:
I think the answer is A.
Step-by-step explanation:
all of the other ones dont seem to line up with the graph.
Answer:
its B, (your A answer is entered wrong)
Step-by-step explanation:
f the ratio 3x : 5y equals the ratio 7 : 11, then the ratio x : y equals what?
2.3 : 2.2
Given:3x : 5y and 7 : 11
Step-by-step solution:3x : 5y
7 : 11
To find x:
3x = 7
x = 7/3 (Bring 3 over to 7 to divide)
x = 2.3 OR 2/1/3
To find y:
5y = 11
y = 11/5 (Bring 5 over to 11 to divide)
y = 2.2 OR 2/1/5
So,
x = 2.3
y = 2.2
Therefore, the answer is:
x : y = 2.3 : 2.2
What is the measure of angle Y?
Answer:
Y=70
Step-by-step explanation:
For starters, all the interior angles inside a pentagon add up to 540. This number can be found for any polygon with the forumla (n-2)180. N stands for the number of sides and then you plug it into the equation. For instance, if we wanted to find it for a triangle, we would see that the triangle has three sides and plug it into the formula. (3-2)180 which equals 180. For the ptenagon we take the fact that it has five sides and add it into the equation. (5-2)180 which equals 540. So now that we know all the interior angles are supposed to add up to 540, we can find the value of Y. So let's start by finding what amount we already have.
T=110
A=150
D=120
O=90 (this is beacuse of the right angle square placed which equals 90 degrees)
All those angles add to 470 degrees. So to find the last angle, you would subtract our total of 470 from our interior angle total of 540.
540-470=70
Y=70.
Which expressions represents the algebraic phrase twelve times the sum of a number and seven tenths
A 12y+7/10
B 12(y+7/10
C 7/10y+12
D y(7/10+12)
Answer:
b. 12(y+7/10)
Step-by-step explanation:
hope it helps :)
Answer:
B.
Step-by-step explanation:
sorry that it's late but hopefully it'll help someone
Write in slope-intercept form an equation of the line that passes through the given points.
(1, 2), (−2, −1)
HELPPPPPPPPPPPPPPPPPPPP
Answer:
x=-1
Step-by-step explanation:
i think thats what you mean
50m.cloth costs 2500$.so how much meters will be bought in 1000$
Step-by-step explanation:
50m.cloth costs=2500$
we can write,
2500$cost for=50m.
1$ costs for=[tex]\tt{\dfrac{50}{2500} }[/tex] ⠀
=[tex]\tt{\dfrac{\cancel{50}}{\cancel{2500}} }[/tex]m. ⠀
=[tex]\tt{\dfrac{1}{50} }[/tex] m.⠀
So,
1000$ cost for ,
=[tex]\tt{\dfrac{1}{50}×1000 }[/tex]
=[tex]\tt{\dfrac{1}{\cancel{50}}×\cancel{1000 }}[/tex]
=[tex]\tt{20m. }[/tex] ⠀
[tex]\therefore[/tex] 20m. Will be bought in 1000$⠀
Answer:
The 20m of cloth will be bought in $1000.
Step-by-step explanation:
Given that :-
The cost of 50m cloth is $2500.
We need to find :-
How much meters of cloth will be bought in $1000.
Let us assume :
We bought x meters of cloth in $1000.
According to the question
50 = 2500
x = 1000
Using cross multiplication method.50 × 1000 = 2500 × x
50000 = 2500x
Divide both side by 2500.[tex]\frac{50000}{2500} \\ [/tex] = [tex]\frac{2500x}{2500} \\ [/tex]
Reduce the fractions.20 = x
Hence,
The 20m of cloth will be bought in $1000.
In the garden the total number of pepper plants is 15 and the total number of tomato plants
is 12. What is the ratio of pepper plants to tomato plants in the garden?
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146
Answer:
the 30th term is 239
Step-by-step explanation:
The computation of the 30th term is as follows:
As we know that
a_n = a_1 + (n-1)d
where
a_1 is the first number is the sequence
n = the term
And, d = common difference
Now based on this, the 30th term is
= 152 + (30 - 1) × 3
= 152 + 29 × 3
= 152 + 87
= 239
Hence, the 30th term is 239
Mr. Bradley purchased 20 trays of flowers. Each tray had 3 dozen flowers. Mr. Bradley's total for all the flowers was 273.60. All the flowers were the same price. How much did each flowers cost?
Answer: Each flower costs $0.38.
Step-by-step explanation:
1 dozen = 12 units
Flowers in each tray = 3 dozen = 3 x 12 = 36
Flowers in 20 trays = 20 x 36 = 720
Price of 20 trays = $ 273.60
Price of each flower = (Price of 20 trays ) ÷ (Flowers in 20 trays)
= 273.60 ÷ 720
= $ 0.38
Hence, each flower costs $0.38.
What is this expression in simplified form?
Hope you have a good day, Loves!~ <3
Also please tell me if I'm wrong or not...
Also also if I'm right can I please have Brainliest?
I think it's A
cause I said so
Please help me!! Thank you.