The perimeter of the smaller polygon from the given ratio is 100 centimeters.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
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.
Given that, the scale factor of two similar polygons is 2:3.
The perimeter of the larger polygon is 150 centimeters.
Let x be the perimeter of the smaller polygon.
Now, 2/3 =x/150
⇒ x=100 centimeters
Therefore, the perimeter of the smaller polygon is 100 centimeters.
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Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
Answer:
we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.
Step-by-step explanation:
As Misty determined the equation of linear function:
[tex]y=-2x+9[/tex]
We need to check whether she has got the correct equation or not.
As the linear equation passes through the points [tex](1, 7)[/tex] and [tex](2, 5)[/tex].
Finding the slope:
The slope between two points [tex](1, 7)[/tex] and [tex](2, 5)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)[/tex]
[tex]m=\frac{5-7}{2-1}[/tex]
[tex]m=-2[/tex]
As we know the point-slope form is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
So, the equation of the line will be:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=-2\left(x-2\right)[/tex]
Add 5 to both sides
[tex]y-5+5=-2\left(x-2\right)+5[/tex]
[tex]y=-2x+9[/tex]
From the above calculation, we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.
Solve for the variable
10 + 25a = 75
Please help
Answer:
a = 2.6
Step-by-step explanation:
10 + 25a = 75
- 10. - 10
25a = 65
÷25. ÷25
a = 2.6
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:13/5 or 2.6
Step-by-step explanation:
(11x + 2y) - (5x – y)
Answer:
the answer is [tex]6x+3y[/tex]
Step-by-step explanation:
[tex]\mathrm{Remove\:parentheses}:\\=11x+2y-\left(5x-y\right)\\\\-(5x-y): -5x+y\\=11x+2y-5x+y\\Simplify:\\11x+2y-5x+y: 6x+3y\\\\=6x+3y[/tex]
hope this helps :)
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
A local florist charges $15 for delivery plus $2.75 per flower for all flower arrangements. When Marcus got the bill for a flower arrangement he ordered, it was less than $50. Which of the following could not represent the number of flowers in the arrangement Marcus ordered?
Answer:
Step-by-step explanation:
Step one:
given
All Charges
$15 for delivery
and $2.75 per flower
let the number of flowers delivered be x
and the total charges for x flowers be y
the linear function for the total charges is
y=2.75x+15
Step two:
when y=$50
50=2.75x+15
50-15=2.75x
35=2.75x
divide both sides by 2.75
x=35/2.75
x=12.72
Note: we are not given the options. We only solved for the flower arrangements
Therefore the number of flowers in the arrangement Marcus ordered
is 12.72 flowers
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95
Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
Task 3
please pa answer na po ngayun (个_个)
Directions: Find the quotient.
1) 75.36 ÷ 0.24 =
2) 1.536 ÷ 0.3 =
3) 6.705 ÷ 0.45 = =
4) 1.875 ÷ 0.05 =
5) 6.048 ÷ 0.8 =
Task 4
Directions: Find the quotient.
1) 1.6 5.136 2) 2.8 7.364
4) 4.8 83.52
3) 3.6 65.52
5) 5.6 3.136
Answer:
eue8whiwhwihdhd123456789101122334
Find the slope of the line between (-7, -2) and (9, 4)
A, B, C, or D?
A) M=-3/8
B) M=3/8
C) M=6/17
D) M=2/5
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
oh ma goawd he on x gaems mode
If a1=5 and an= -5an-1 then find the value of a5.
Answer:
The value of a5 is 3125
Step-by-step explanation:
Recursive Sequence
It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.
The sequence is given as:
[tex]a_1=5[/tex]
[tex]a_n=-5a_{n-1}[/tex]
To find the value of a5, we need to find the previous terms first:
[tex]a_2=-5a_{1}=-5*5=-25[/tex]
[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]
[tex]a_4=-5a_{3}=-5*125=-625[/tex]
[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]
The value of a5 is 3125
I’ll give the brainliest if you help meeeee
22. The cost of renting a pickup truck at Company A is $25 plus 15 cents per mile driven. The cost ol
Renting a truck at Company B is $25 plus 10 cents per mile driven. In the graph of the cost of a
Truck rental, what does the cost per mile driven represent?
A The point of intersection
B The y-intercept
C The x-intercept
D The slope
Answer:
D. The slope
Step-by-step explanation:
0.15 = 3/20
0.10 = 1/10
Given:
company A: y = 3/20x + 25
company B: y = 1/10x + 25
y = mx + b
m is slope
b is y-intercept
3 8 of your income is spent on your monthly bills, 2 5 is spent on food and clothing and 1 10 goes on entertainment. You put the remainder of your monthly income into savings.
Answer:
Fraction of saving = 1/8
Step-by-step explanation:
Given:
Spent on bills = 3/8
Spend on food = 2/5
Spend on entertainment = 1/10
Find:
Fraction of saving
Computation:
Fraction of saving = 1 - Spent on bills - Spend on food - Spend on entertainment
Fraction of saving = 1 - 3/8 - 2/5 - 1/10
By taking LCM
Fraction of saving = [40 - 15 - 16 - 4]/40
Fraction of saving = [5]/40
Fraction of saving = 1/8
You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the dimensions of the room, he tells you the dimensions in rational expressions. The length of the room is fraction numerator x squared minus x minus 6 over denominator x minus 5 end fractionand the width of the room is fraction numerator x squared minus 6 x plus 5 over denominator x plus 2 end fraction. What is the area of the room in terms of x? How much carpet do you need if x = 10?
Answer:
[tex]x^2-4x+3[/tex]
[tex]63\ \text{sq. units}[/tex]
Step-by-step explanation:
l = Length = [tex]\dfrac{x^2-x-6}{x-5}[/tex]
w = Width = [tex]\dfrac{x^2-6x+5}{x+2}[/tex]
Area is given by
[tex]A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3[/tex]
Area of the room is [tex]x^2-4x+3[/tex].
If [tex]x=10[/tex]
Area of the room
[tex]A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}[/tex]
So, the amount of carpet needed would be [tex]63\ \text{sq. units}[/tex].
x ÷ 9 = 4
plz help fast
Answer:
36
Step-by-step explanation:
transpose
x= 4×9
x= 36
Answer:
x = 36
Step-by-step explanation:
If we were to switch around the equation to multiplication, we would have 9 x 4 or 4 x 9 which is 36.
Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Part B). Emily answer 4 questions correctly and 11 incorrectly in the first round what was her score in the first round? Emily answer'd 7 questions correct and 8 incorrect in the second round what was her score in the second round.
Answer
A. -30 points
B. 60 points
Step-by-step explanation:
20 points for correct answer and 10 points deducted for wrong answer
Each deduction is -10 while each correct answer gives + 20
4 questions correctly and 11 incorrectly
= 4(20) + 11(-10)
= 80-110 = -30 points
Second round
7 correct, 8 incorrect
= 7(20) - 8(10)
= 140-80 = 60 points
Moira is a teacher, and she drives to school and back every day from her home. It is 32 miles from her home to work.
How far does Moira drive roundtrip in 5 work days?
Answer:
Here is the answer 160 miles
Step-by-step explanation:
If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320
Evaluate 7 to the power of 2 pls help
Answer:
49
Step-by-step explanation:
Whenever you power something, you are just multiplying that number by itself amount of times you are powering
7 to the power of 2 is 7² = 49
The power (or exponent) of a number define how many times to use the number in a multiplication.
It is written as like a small number to the right and above the base number.
In this example the little "2" says to use 8 two times in a multiplication: 82 = 8 × 8 = 64.
To evaluate 7 to the power of 2.
7² = 7 × 7 = 49
Therefore, 7 to the power of 2 is 49.
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(A U B) n (A n B)
A= {1,3,7,9,10}
B= {2,5,7,8,9,10}
Answer:
{7,9,10}
Step-by-step explanation:
(A U B) ∩ (A ∩ B)
(A U B): {1,3,7,9,10} U {2,5,7,8,9,10} = {1,2,3,5,7,8,9,10}
(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10} = {7,9,10}
(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}
A basketball player made 81 out of 100 attempted free throws. What percent of free throws was made?
Answer:
81%
Step-by-step explanation:
81 out of 100 is 0.81, which is 81%
Hope this helps plz mark brainliest if correct :D
Answer:
0.800
Step-by-step explanation:
Hope it Helps
Find the slope of the line.
Help!
Answer:
if the line is the blue one the answer is y=0
Step-by-step explanation:
A teacher writes the algebraic expression 24푐+5푚+19.99 to represent the cost of supplies. She bought 24 packages of pencils, 5 packages of markers, and a beanbag chair. Identify variables, coefficients, and terms in the expression. Tell what each represents.
A teacher write the algebraic expression 24c + 5m + 19.99 to represent the cost of supplies. She bought 24 packages of pencils, 5 packages of markers, and a beanbag chair. Identify variables, coefficients, and terms in the expression. Tell what each represents.
Answer:
Step-by-step explanation:
The algebraic expression is written by the teacher as:
24c + 5m + 19.99
Purchased product are:
24 packages of pencils, 5 packages of markers, and a beanbag chair.
The variables are;
packages of pencils; packages of markers; a beanbag chair.
The coefficients are;
24, 5 and 19.99
This representation implies that;
The teacher bought:
24 "c"olored pencils;
5 packages of "m"arkers; &
19.99 represent the cost of each beanbag chair.
Fifteen billiard balls are numbered 1 to 15. One billiard ball is selected at random. Determine the odds for and the odds against for (6 Points) a) selecting the number 7 b) selecting a number greater than 10
Answer:
Odds for & against selecting number 7 = 1/14 & 14
Odds for & against selecting number more than 10 = 4/11 & 11/4
Step-by-step explanation:
Odds for event = Prob (event) / Prob (no event)
Odds against event = Prob (no event) / Prob (event)
Odds for selecting number 7Prob (No. 7 chosen) = 1/15 , Prob (No. 7 not chosen) = 14/15
Odds for number 7 = (1/15) ÷ (14/15) = 1/14
Odds against number 7 = (14 / 15) ÷ (1/15) = 14
Odds for selecting number > 10Prob (No. > 10 chosen) = 4 / 15 , Prob (No. > 10 not chosen) = 11/15
Odds for No. > 10 = (4/15) ÷ (11/15) = 4/11
Odds against No. > 10 = (11/15) ÷ (4/15) = 11/4
Can someone please explain how to do this problem for me?
Three people eat 2 pizzas altogether. Both pizzas are the same size. One person eats 2/3 of a pizza. A second person eats 1/2 of a pizza. How much pizza does the third person eat?
Answer: The other person eats 5/6ths of a pizza
Step-by-step explanation:
put it into sixths
Answer:
5 /6
Step-by-step explanation:
may be 5/ 6 is the correct one
What are some other ways the answer can be determined ( other than Multiplication)
Will mark and 5 STARS, THANKS
En la regla de la potencia, durante el proceso de integración, se ________ 1 al exponente, mientras que en la derivación se ________ 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa ________. Al último, agregamos la letra c, que significa constante" *
Answer:
a) adiciona, b) sustrae, c) multiplicando.
Step-by-step explanation:
A continuación, presentamos la respuesta correcta al ejercicio citado:
En la regla de la potencia, durante el proceso de integración, se adiciona 1 al exponente, mientras que en la derivación se sustrae 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa multiplicando. Al último, agregamos la letra C, que significa constante.
Razones
Derivación de una función potencial:
[tex]\frac{d}{dx}(x^{n}) = n\cdot x^{n-1}, n\ne 0[/tex]
Integración de una función potencial:
[tex]\int {x^{n}} \, dx = \frac{x^{n+1}}{n+1}+C,x\ne -1[/tex]
What is the distance between A and B? Round your answer to the nearest tenth.
Answer:
6.4
Step-by-step explanation:
Just plug in the distance formula.
(4+1)^2+(1-5)^2
(5)^2+(-4)^
25+16
41
(square root 41) and get 6.4
Help is Geometry find x
Answer:
x=64
Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64
The volume of a fish tank is given by the function V (x) = (x + 7) (1-4) (2x + 3). Write a function describing a fish tank that has the same height but is
longer in length by 3 units and wider by 2 units.
Answer:
V(x)=(x+9) * (3) * (2x + 6)
Step-by-step explanation:
A fish tank is usually made in the shape of a 3-Dimensional rectangular prism. The volume of this shape can be obtained by using the following formula
V = w * h * l
in this formula w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.
V(x)=(x+9) * (3) * (2x + 6)
Find the sum of 2.005, 35.7 and 406
Answer:
443.705
Step-by-step explanation:
The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 2 miles?
Answer:
1.5 inches
Step-by-step explanation:
half of four miles so half of 3 inches
Find the slope of the line that contains the following ordered pairs. Show all work.
8.
(18,-7) and ( 18, 2)
Formula:
Slope:
Answer:
see below
Step-by-step explanation:
slope = (y₂ - y₁) / (x₂ - x₁) <=== formula
= (2 - (-7)) / (18 - 18)
= 9 / 0
= 0 <=== slope