Answer:
It is
Scale Factor = Ratio of Side Lengths
= 12/8 = 9/6 = 1.5.
Step-by-step explanation:
Hope this helped have an amazing day!
The two rectangles are similar and the scale factor is 3/2.
Given data:
The first rectangle is represented as ABCD
The second rectangle is represented as PQRS
Now, the dimensions of ABCD is 8 cm x 6 cm
The dimensions of PQRS is 12 cm x 9 cm
So, the scale factor is represented as k and the value of k is :
k = length of PQRS / length of ABCD
So, k = 12 / 8
k = 3/2
Hence , the similar rectangles have a scale factor of 3/2
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There are 240 children at summer camp. They will travel by bus on a field trip. Each bus will hold a total of 50 students.
What is the minimum number of buses they will need?
Bill charges $12 per hour for a plumbing job. Write the equation that shows the relationship between the numbers of hours Bill work's,h, and the amount of money he makes, m?
Answer:
m = 12h
Step-by-step explanation:
Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.
So that;
m = 12h
Thus if Bill works for 6 hours, his amount of money would be;
m = 12 (6)
= 72
m = $72
Bill would make $72 after working for 6 hours.
Find the length of DE using the distance formula. d =
Answer:
d = 10units
Step-by-step explanation:
The question is incomplete. Find the complete question attached
The formula for calculating the distance between two points is expressed by the formula;
d = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate points (-4, 2) and (4, -4)
d = √(4-(-4))²+(-4-2)²
d = √(4+4)²+(-6)²
d = √(8)²+(-6)²
d = √64+36
d = √100
d = 10
Hence the distance between the points DE is 10units
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
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I need help thank you
Answer:
c)
Step-by-step explanation:
x - 2 ---------------> members in the band with the absentees.
So, x will give the number of members in the band
Which point could represent 5/5
.A
.B
.C
.D
Answer:
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What is the equation for the graph?
Answer:
Standard Form:
[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
Another Form:
[tex]y = (x - 1)^{3} - 3[/tex]
Step-by-step explanation:
The type of graph or function is called Cubic Function
The type of graph is represented by the equation of y = a(x-h)³+k
Thus our equation for the graph is
[tex]y = {(x - 1)}^{ 3} - 3[/tex]
In case if you want standard form.
Simplify the expression.
[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]
[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]
PLSSS HELP IM DESPERATE!!
Which number line represents the solutions to -2x| = 4?
O 2o 2 4 6 & 10
-i0 -862 0 2 4 6 & 10
-10 -8 -6 -4-2 0 2 4 6 8 10
Answer:
graph c
Step-by-step explanation:
Given
| - 2x | = 4
The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is
- 2x = 4 or - (- 2x) = 4
Solving both
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
The third graph indicates x = - 2 and x = 2 on the number line
The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is the number? A. x = 81 B. x = −13; x = 5 C. x = −9; x = 9 D. x = 5
Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.
[tex]x\times (x+8)=65[/tex]
[tex]x^2+8x=65[/tex]
[tex]x^2+8x-65=0[/tex]
Splitting the middle term, we get
[tex]x^2+13x-5x-65=0[/tex]
[tex]x(x+13)-5(x+13)=0[/tex]
[tex](x-5)(x+13)=0[/tex]
Using zero product property, we get
[tex]x-5=0[/tex] and [tex]x+13=0[/tex]
[tex]x=5[/tex] and [tex]x=-13[/tex]
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.
Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store string is sold by yard. If Cesar wants to get 47 balloons how many yards of string will he need? 1 foot =1/3 yard
Answer:
188 yards
Step-by-step explanation:
Given
Length of one balloon = 12 feet
Since 1 foot = 1/3 yards
12 feet = x
Cross multiply
1 * x = 1/3 * 12
x = 12/3
x = 4 yards
Hence one balloon will be 4 yards long.
If one balloon = 4 yards long
47 balloons = y
Cross multiply;
1 * y = 4 * 47
y = 188yards
Therefore Cesar will need 188 yards of string for 47 ballooons
Which linear inequality is represented by the graph?
The trail around Mirror Lake in Yosemite National Park is 5 miles long. 9. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This question is incomplete
Complete Question:
The trail around Mirror Lake in Yosemite National Park is 5 miles long.
The tables below show the fraction of miles each hiked:
Hiker Fraction of miles hiked
Andrea 2/5
Jon 1/2
Callie 4/5
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
Answer:
9. 1/10
10. 3/10
Step-by-step explanation:
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked
1/2 - 2/5
= The Lowest Common Denominator is 10
= [(5 × 1) - (2 × 2)] /10
= [5 - 4] /10
= 1/10
The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This is calculated as the number of miles Callie hiked - The number of miles Jon hiked
4/5 - 1/2
= The Lowest Common Denominator is 10
= [(4 × 2) - (1 × 5)] /10
= [8 - 5] /10
= 3/10
The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10
la Tour eiffel a 2 etages il y a 24 tronçons . Un de ces tronçons de 700kg a été vendu aux enchères à 180 000 euros. Quel est le prix au kilogramme de ce tronçon de la Tour Eiffel
Answer:
257.143 Euros/kg
Step-by-step explanation:
Esto se calcula como:
700 kg = 180.000 euros
1 kg = x euros
Cruz multiplicar
700 kg × x = 180.000 euros × 1
x = 180.000 euros / 700 kg
x = 257,14285714 Euros / kg
x = 257.143 Euros / kg
El precio por kilogramo de este tramo de la Torre Eiffel es de 257.143 Euros / kg
Select the correct answer.
Solve the system of equations.
y = x + 4
y = x2 + 2
A.
(-1,6) and (2,3)
B.
(-1,3) and (2,2)
C.
(-1,3) and (2,6)
D.
(1,3) and (-2,2)
Answer:
Option C
Step-by-step explanation:
Locate the two points on the graph
Answer
ok the correct answer is c
Step-by-step explanation:
its the only answer that has points on the graph
ur welcome;)
Does the following table show a proportional relationship between the variables x and y?
Answer: yes it is proportional
Step-by-step explanation:
I did it on khan
Which statement represents the expression?
6(5+7)
6 times 5 plus 7
7 more than 5 times 6
6 times the sum of 5 and 7
the product of 6 and 5 plus 7
Answer:
Should be the third one
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72 |•-•|
Answer: I think it’s the 3rd one.
Step-by-step explanation:
6(5+7)
5+7=12
6×12=72
Hope it helps, have a great day!
Which polynomial function f(x) has a leading coefficient of 1, roots4, 2, and 9 with multiplicity 1, and root-5 with
multiplicity 3?
Answer:
[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]
Step-by-step explanation:
In order to solve this function, we must first start by writting the factors of the polynomial. We can do so by including the given zeros, and the leading coefficient. So we get:
[tex]f(x)=1(x-4)(x-2)(x-9)(x+5)^{3}[/tex]
and now we can expand this by multiplying the given parenthesis, so we get:
[tex]f(x)=(x^2-2x-4x+8)(x-9)(x^3+3(5)x^{2}+3(25)x+125)[/tex]
[tex]f(x)=(x^2-6x+8)(x-9)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=(x^3-9x^2-6x^2+54x+8x-72)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=(x^3-15x^2+62x-72)(x^3+15x^{2}+75x+125)[/tex]
[tex]f(x)=x^6+15x^5+75x^4+125x^3-15x^5-225x^4-1125x^3-1875x^2+62x^4+930x^3+4650x^2+7750x-72x^3-1080x^2-5400x-9000[/tex]
we combine like terms so we get:
[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]
Megan ran 9/12 of a mile and skips a 12th of a mile around the track how far around the track did Megan go in total use the benchmarks fraction 1/2 1 and 0 to help you estimate each answer before you solve
Answer:
She went a total of 5/6 of a mile around the track
Step-by-step explanation:
Here, we want to calculate the distance around the track travelled
From the question, we are told that she ran 9/12 of a mile and skipped 1/12
So the total distance covered will be;
9/12 + 1/12 = 10/12 = 5/6
What are the the example of a linear pair
Answer:
A linear pair is a adjacent angles formed when two lines
interset.
Estimate the quotient. Use compatible numbers. Round your answer to the nearest tenth.
5.8 ÷ 8 ≈ ___
Answer:
5.8/8=0.725
Rounded number: 0.7
Step-by-step explanation:
Estimate 6/8=0.75
6 because 5.8 rounded to a whole number=6
Monique is factoring the expression 4 x + 16 x y. Her work is shown below.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Which best describes the accuracy of Monique’s solution?
Monique’s solution is accurate.
Monique made an error when listing the factors, which affected the GCF and the factored expression.
Monique made an error when determining the GCF from her list of factors.
Monique made an error when writing the factored expression.
Answer:
Monique made an error when writing the factored expression
Step-by-step explanation:
Monique's work:
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Correct working:
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (1 + 4 y)
Therefore, Monique made an error when writing the factored expression
Check:
4x(1 + 4y)
Opening bracket
4x + 16xy
The answer is D the guy above me corretc
Which point on the graph below is included in the solution to the following system of equations?
y > 2/3x + 1
5x + 6y ≤ -30
Answer:
D(-7,-2)
Step-by-step explanation:
A(-4,3) B(5,-1) C(-2,-6) D(-7,-2)
A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No
B: 2/3×5 + 1 =4.33 ≥ -1 ....No
C: -6 ≤ 2/3×-2 +1 ....No
D: 2/3×(-7)+1 = 2.333 ≤ -2
5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes
Can someone PLEASE help me I need to find the length of these two ladders, please actually help and don't just guess. If you can show me how you did it too, i will give you brainliest
Answer:
29 feet for second ladder
Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.
Answer:
As this is a right angled triangle, simply find the hypotenuse
Step-by-step explanation:
We know that the square of hypotenuse is equal to the sum of the square of the other two sides
In formula > h²=a²+b²
We know the values of a and b.
Now simply put the values into the equation to find the answer :)
For 1, h²= 25² + 10²
h² = 625 + 100
=725
h=√(725)
=26.92 feet
Therefore height of ladder = 26.92 feet
For 2,
h²= 21²+20²
h²=441 + 400
h² = 841
h = √841
h = 29 feet
Heigh of ladder = 29 feet
Find the area of quadrilaterals whose d= 5.5cm, ℎ1 =2.5cm, ℎ2 =1.5cm.
Answer:
DEMANDE A TON PERE LE CHAUVE PETIT ZGUEGUE
Step-by-step explanation:
Bir satıcı sattığı her üründen satış fiyatının 2/9'u kadar kar etmektedir. Bu satıcı 1800 liraya sattığı bir televizyondan kaç lira kar elde etmiştir?
Answer:
400 lira
Step-by-step explanation:
Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.
Dolayısıyla 1800 liraya televizyon satarsa o televizyondan elde ettiği kâr şöyle hesaplanır:
2/9 × 1800 lira
= 400 lira
PLZ ANWSER WERTAY
anyody know math? and wanna be friends i need help with this The successor of
−22
is
−23
−21
23
21
Answer:
-21
Step-by-step explanation:
after -22 there comes-21 so successor of-22 is -21
2
Did the same result occur in both parts when you held up a lighted splint to the jar's mouth?
What can you conclude from this about the identity of the gas(es) in Parts 1 and 2? (3
points)
Answer:
Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.
A town has a population of 20000 and grows at 4% every year. How long will it be until the population will reach 39400?
Answer:
The population will be 39400 in approximately 17 years
Step-by-step explanation:
The increase in population after t years is given by the formula
[tex]P_t = P_0(1+r)^t[/tex]
Here
P_0 is the initial population
r is the growth rate and t is time in years
So far we know,
P_0 = 20000
r = 4%
P_t = 39400
Putting the values in the formula
[tex]39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t[/tex]
Taking natural log on both sides
[tex]ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17[/tex]
Hence,
The population will be 39400 in approximately 17 years
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope intercept for (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y=20x;(2,2)
The equation is y =
Please help very urgent! :)
Answer:
y = - 0.05x - 1.9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 20x ← is in slope- intercept form
with slope m = 20
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus
y = - 0.05x + b ← is the partial equation
To find b substitute (2, - 2) into the partial equation
- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9
y = - 0.05x - 1.9 ← equation of perpendicular line
A sequence is defined by the term-to-term rule
U = + 2
Given that u, = -3,
a) find u,
b) find uz
Answer:
Please check the explanation.
Step-by-step explanation:
a)
A sequence is defined by the term-to-term rule such as
[tex]U_{n+1}=U^3_n+2[/tex]
Given that
[tex]U_0=-3[/tex]
Substituting n = 0 to determine u₁
[tex]U_{0+1}=U^3_0+2[/tex]
[tex]U_1=U^3_0+2[/tex]
substituting [tex]U_0=-3[/tex]
[tex]U_1=\left(-3\right)^3+2[/tex]
[tex]U_1=-27+2[/tex]
[tex]U_1=-25[/tex]
Therefore,
[tex]U_1=-25[/tex]b)
[tex]U_{n+1}=U^3_n+2[/tex]
Substituting n = 1 to determine u₂
[tex]\:U_{1+1}=U^3_1+2[/tex]
substituting [tex]U_1=-25[/tex]
[tex]U_2=\left(-25\right)^3+2[/tex]
[tex]U_2=-15625+2[/tex]
[tex]U_2=-15623[/tex]
Therefore,
[tex]U_2=-15623[/tex]