Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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What is the solution to the inequality below?
x < 49
Answer: x < 7, and x > -7
Step-by-step explanation:
Simply square root both sides of the equation. The square root of x^2 is x and the square root of 49 can be 7 or -7.
Hope it helps <3
Answer:
x < 7 and x > -7
Step-by-step explanation:
x^2 < 49
Take the square root of each side, remembering to flip the inequality when we take the negative
sqrt( x^2) < + sqrt(49) and sqrt( x^2)> - sqrt(49)
x < 7 and x > -7
Find the surface area of the cone in terms of π.
180π cm2
108π cm2
144π cm2
90π cm2
Answer:
\(54\pi \: {cm}^{2} \)
Step-by-step explanation:
Given:
A cone
l = 15 cm
r (radius) = 3 cm
Find: A (surface area) - ?
\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)
\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)
Answer:
A. y + 7 = 2/5(x + 4)
Step-by-step explanation:
gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7so,
\( \rm y - y1 = m(x - x1)\)
\( \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))\)
\( \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}\)
5
5x2
10
Lee y resuelve puedes apoyarte en tu libro de Desafíos Matemáticos página
abril decidió registrar los tiempos que duraron girando los trompos en las distintas opo
Ayúdale a encontrar la respuesta a sus preguntas:
doble de los de minuto que Misael duro &n la segunda oportunidad: 15 segu
30 segundos de 4160
a mitad de de minuto que obtuvo Diego en la oportunidad 1:
33*2.
El doble de 3 del tiempo que duró en la oportunidad 2 Adrián:
8
Si sumamos el resultado de la oportunidad 1 de Adrián y Misael cuál sería el resultado:
1 2
2 X 8
48
aplica el procedimiento que utilizaste para resolver la operación:
Answer:
48vvvvhovbh
Step-by-step explanation:
When adding
4 2/3 + 7 1/18
what is the least Common Denominator?
Answer:
Step-by-step explanation:
The least Common Denominator is 18
Plot 1\(\frac{2}{5}\) −12, and −2\(\frac{1}{10}\) on the number line.
Answer:
1st= 2.4 on the line
2nd= -0.5 on the line
3rd=2.1 on the line
Step-by-step explanation:
1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one
2nd 1/2=0.5 so -1/2= -0.5
3rd if one line is one part then it is 2.1
hi, I was wondering about this one. Its multi step
Jayla has 2 pies. she wants to split the pies with her friend. She has 23 friends. But, 12 of them don't like pie so they aren't having any. Jayla wants a slice of pie too though! How many people are having pie? How many are not?
BONUS: What are you feeding the glutten free friends?
Answer:
12 are having pie, 12 are not having pie.
Step-by-step explanation:
We can find out how many of Jayla's friends want a slice of pie by taking the total amount of her friends (23) and subtracting the amount who do not want pie. The equation is:
23 - 12 = 11
Because Jayla wants a slice too, we will add 1 to the 11 friends who want a slice. The equation is:
11 + 1 = 12
So 12 people are having pie, while 12 are not.
BONUS: The gluten free friends may have pie too because I remembered them and I baked the crust so that it is gluten free.
Hope this helps friend.
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
Kevin’s family left home without him on December 23rd at 7:15am. They reunited on Christmas day at 8:45am. How much time did they spend apart IN HOURS?
which of the following is incorrect?
Answer:
\(DE=58\)
Step-by-step explanation:
\(8n-24=40\)
\(8n=64\)
\(n=8\)
\(FE=6\) × \(8+10\)
\(FE=58\)
\(-----------\)
hope it helps...
have a great day!!
A team has won 51 out of 68 games explain how to use the bar diagram to find the percent of games the team has won
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Answer:
I the diagram, 17 represents 25% of the total games. Since 17 times 3 equals 51, you use the first 3 columns to find the answer of 75%.
Just took test that was the answer they gave.
Step-by-step explanation:
Match each number to a point on the number line.
Answer:
I dont understand it bc the pic is blurry
Step-by-step explanation:
Please mark Branliest
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer:
Limits for B scores
( 79,2 ; 92 )
Step-by-step explanation:
The interval we are looking for is between 6 % and 59%
p₁ = 6 % p₁ = 0,06
As this point is at the right tail of the bell we better look for
p = 1- 0,06 p = 0,94
In z-table z score for 0,94062 is: z₁ = 1,56 ( 0,94062 ≈ 0,94 )
Doing the same to find z₂ score for 59% or 0,59
In z-table again
p = 0,59
z₂ = 0,023
Now we know
1,56 * σ = x₁ - 79
1,56*8,4 + 79 = x₁
x₁ = 92,10 or x₁ = 92
And
0,023*8,4 + 79 = x₂
x₂ = 79,19 or x₂ = 79,2
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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IXL Please Help Fast !
Answer:
x=9
Step-by-step explanation:
9x-7=5x+29
9x=5x+36
4x=36
x=9
Hopes this helps please mark brainliest
Determine the values of x in the equation x2 = 64.
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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2) The product of 8 and a number is 104.
What is the number?
Write the equation
Answer:
The equation is 8 x 13 = 104
Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.
The graph of the translated function is g ( x ) = ( x + 5 )² + 2
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
On simplifying , we get
The function is translated 5 units to the horizontal left direction:
And , when the function is translated 2 units in the vertical upward direction:
So , the translated function is
g ( x ) = ( x + 5 )² + 2
Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)
Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2
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Need help 100 points
A translation followed by what is known as a dilation, but the name for dilation may vary depending on your country of origin. A translation would cause ABCD to slide into the location of the second shape. A dilation would scale ABCD to the size of A'B'C'D.
The perimeter of a playing card is 32 centimeters. It is 10 centimeters tall. How wide is it?
Answer:
Step-by-step explanation:
Its is
6CM wide. as to find the area we have to times the length x height :)
Answer:
wide = 6 cm
Step-by-step explanation:
\(t=tall=10\)
\(w=wide=?\)
\(P=perimeter=32\)
The equation:
\(P=2t+2w\)
\(32=2(10)+2w\\32=20+2w\)
\(32-20=2w\\12=2w\)
\(\frac{12}{2} =w\)
\(6=w\)
Hope this helps.
The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.
The value of m∠Q as shown in the right-angled triangle below is 62.59°.
The Formula used is:
m∠Q = cos⁻¹(s/r)........................ (1)
Where:
s = 29 m
r = 63 m
Now, Substitute these values into equation 1
m∠Q = cos⁻¹(29/63)
m∠Q = cos⁻¹(0.46)
m∠Q = 62.59°
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Read The Question in the PNG
9514 1404 393
Answer:
A. dollars = euros × 0.75
B. the exchange rate is the slope of the graph
Step-by-step explanation:
A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.
__
B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.
One hundred students go to the cafeteria to eat lunch. Six tables held the same amount of students while an additional 10 students stood in line. Which equation can be used to find the number of students sitting at each table?
1. 100 + 6 x = 10
2. 100 = 10 x + 6
3. 10 x - 100 = 10
4. 6x + 10 = 100
NEED HELP ASAP WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a ramp is 25 degrees from the x-axis in quadrant 1. An object has a vector labeled 300 pounds.
An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?
(78, 290)
(290, 78)
(127, 272)
(272, 127)
Answer:
D. (272, 127)
Step-by-step explanation:
It's actually not A, I just took the test. The right answer is D.
Answer: D) (272, 127)
Step-by-step explanation: :D
What is the circumference of the following circle?
3 cm
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
HELP!
Answer:
9
Step-by-step explanation:
The GCF between 54 and 27 is nine.