the ratio 6/5 means for every 6 boys there are 5 girls.
Add the ratio: 6+5 = 11
Divide class total by 11: 22/11 = 2
Multiply each ratio number by 2 to find the number of boys and the number of girls:
6 x 2 = 12 boys
5 x 2 = 10 girls.
10 out of the 22 kids are girls.
The probability of picking a girl would be 10/22, which reduces to 5/11
A slushy representative convinces you to lease a machine for $200 per month. You discover that you are selling $900 per month of slushies at a margin of 30%. Are you making money on the machine?
Answer:
Yes
Step-by-step explanation:
30% of 900 is 270
the cost to lease the machine is 200
therefore 270-200=70
leaving you with 70 dollars profit
Answer:
Yes
Step-by-step explanation:
I'm selling $900 per month of slushies, with a margin of profit of 30% that is:
[tex]P=\$900*(0.30)=\$270[/tex]
The machine has a cost of $200 per month, so the total profit is given by:
[tex]Tp=\$270-\$200=\$70[/tex]
Each month I have a profit of $70.
what is the difference in length of the honeybee that is 1/2inch and an 7/8 inch mosquito?
1/2 7/8
1/2x4=4/8
4/8 7/8
3/8 is the difference
Karen is starting a career as a professional wildlife photographer and plans to photograph Canadian Geese at one of the staging grounds during their migration in North Eastern Manitoba. She booked a place in a hide at the edge of a lake and plans to photograph the geese as they land on the water. For the price of a room in the Hilton ($200 per day), she gets a spot on a wooden bench shared by other photographers, a muddy floor, a bracket to mount her telephoto lens, a tent to sleep in and delicious meals of freshly caught fish. Last year, during a stay of 3 days in this hide, she got 2 shots worth $5000 each. She regards this as typical for this time of year although good shots happen at random and each day is independent of the others. To establish her reputation Karen only sells $5000 photographs. This year she has booked 4 days in the hide. What is the standard deviation of her revenue from one day? (The answer is $4082, I just don't know how they got the answer)
Answer:
$5000*0.816 = $4082
Step-by-step explanation:
It's a strange question, but based on the statement and the question it sounds like it's a poisson distribution:
* For 3 days she was able to get 2 good shots (typical of that time of the year)
* Good shots happen randomly
* Each day is independent of another
Let's call 'p' the probability that she makes a good shot per day
Let's call 'n' the number of days Karen is taking shots.
So, if in 3 days he got 2 good shots and that is typical at that time of the year, then the expected value for the number of good shots (X) is:
[tex]E(x)=\frac{2}{3}[/tex]
For a Poisson distribution [tex]E (x)=\lambda\\\lambda= np[/tex]
So:
[tex]\lambda =\frac{2}{3}[/tex]
For a Poisson distribution the standard deviation is:
[tex]\sigma = \sqrt{\lambda}\\\sigma = \sqrt{\frac{2}{3}}[/tex]
[tex]\sigma = 0.816[/tex] this is the standard deviation for the number of buentas taken.
So the standard deviation for income is the price of each shot per sigma
$5000*0.816 = $4082, which is the desired response.
After it is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000. What was the original value of the car?
THE QUESTION:After it is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18,000. What was the original value of the car?
THE WORK: $4000x$3 = $12000_$18000-$12000 = $6000
MY ANSWER: based on my work, the answer is $24000
Final answer:
To find the original value of a car that depreciates by $4,000 each year, we add the total depreciation over 3 years ($12,000) to the car's value after 3 years ($18,000), resulting in an original price of $30,000.
Explanation:
The student is asking about the calculation of the original price of a car given its depreciation rate and its value after a certain period. Since the new car decreases by $4000 each year and after 3 years the value of the car is $18,000, we can calculate the original value by reversing the depreciation.
Depreciation calculation:
Value of the car after 3 years: $18,000Annual depreciation: $4,000/yearTotal depreciation over 3 years: 3 years * $4,000/year = $12,000Original price = Current price + Total depreciationOriginal price = $18,000 + $12,000Original price = $30,000
If the cost of producing the product is 25,000 plus $5.00 per piece, then what is the cost equation for producing x items?
Answer:
Cost equation = 5x + 25000
Step-by-step explanation:
Given: The producing the product is 25,000 plus $5.00 per piece.
x is the number of pieces.
Production cost = fixed cost + cost per piece * number of piece.
Given: Fixed cost = $25000 and cost per piece - $5.00
Now plug in these values in the production cost equation.
So, to produce x number of items, the cost = 25000 + 5x
Which can be written as
Cost equation = 5x + 25000
If Joelle multiplied $792$ by a positive integer and came up with a perfect square as her answer, then what is the smallest integer she could have multiplied $792$ by
Joelle should multiply 792 by 22 to get a perfect square
To figure out the smallest integer that Joelle could have multiplied by 792 to get a perfect square, we need to factorize 792 and ensure all prime factors appear in even powers.
First, we find the prime factorization of 792:
[tex]792 =2^3 \times 3^2 \times 11[/tex]
For a number to be a perfect square, all the exponents in its prime factorization must be even. The exponents of 2 and 11 are not even in this factorization, so we must multiply 792 by the smallest factors that will make these exponents even. So, we need an additional factor of 2 (to make [tex]2^4[/tex]) and an additional factor of 11 (to make [tex]11^2[/tex]). Therefore, we multiply as follows:
[tex]2 \times 11 = 22[/tex]
So, the smallest integer Joelle could have multiplied 792 by to get a perfect square is 22.
if f(x) = x + 2 and g(x) = 3x +4, then (g °f)(x) = ?
a. 3x + 6
b. 3x + 10
c. 3x^2 + 6x + 4
d. 3x^2 + 10x + 6
The correct answer is a. 3x + 6
In order to find a compound function, you must use the first letter in the function (in this case f) and plug the second letter (g) in where you see x's.
f(x) = x + 2
f(g(x)) = (g(x)) + 2
f(g(x)) = (3x + 4) + 2
f(g(x)) = 3x + 6
Final answer:
To find the composition (g ° f)(x), substitute f(x) into g(x) and simplify. The correct answer is 3x + 10.
Explanation:
To find (g ° f)(x), also known as the composition of the functions g and f, you would substitute f(x) into g(x). This means we are looking for g(f(x)):
First, we have f(x) = x + 2.
Then, g(x) = 3x + 4.
To compose g with f, we replace every instance of x in g(x) with f(x). So, g(f(x)) becomes 3(x + 2) + 4.
We simplify this to get 3x + 6 + 4.
And finally, combining like terms gives us 3x + 10.
Therefore, the correct option is (g ° f)(x) = 3x + 10, which is choice b.
(5x^4-2x^3-7x^2-39)÷(x^2+2x-4)
Using the Polynomial Division: Divide 5[tex]x^{4}[/tex]−2[tex]x^{3} -7x^{2} -39 by x^{2}[/tex] +2x−4 using long polynomial division.
Answer to the Polynomial Division: [tex]5x^{2} -12x+37+\frac{-122x+109}{x^{2}+2x-4}[/tex]
The question deals with the division of two polynomial expressions in mathematics. The process involves division of highest degree terms in the polynomials and subtraction of the result from the numerator polynomial, similar to the technique of long division.
Explanation:The question involves the division of two polynomial expressions, which is a topic in Mathematics, specifically Algebra. The division of polynomials is performed similarly to the long division we use for numbers. In this case, the polynomial (5x^4-2x^3-7x^2-39) is divided by the polynomial (x^2+2x-4).
To perform the division, we divide the highest degree terms in the polynomials. So, we divide 5x^4 (from the numerator polynomial) by x^2 (from the denominator polynomial) to get 5x^2. Multiply this by the entire denominator polynomial and subtract the result from the numerator polynomial. The process is continued until we cannot continue dividing any further.
The result is your answer, which might be another polynomial or a number. Similar to long division with numbers, there might be a remainder after the division.
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Devaughn's age is two times Sydney's age. The sum of their ages is 69 . What is Sydney's age?
sand sells 81/2 cent per pound how much save by buying 100 pounds at $8.25
Answer:
The amount of money saved will be $0.25
Step-by-step explanation:
Sand sells [tex]8\frac{1}{2}[/tex] cents per pound.
So, the cost of 100 pounds will be: [tex]8\frac{1}{2}*100=\frac{17}{2}*100 = 850[/tex] cents.
We know that, 1 dollar = 100 cents.
So, 850 cents [tex]=\frac{850}{100} dollar = \$8.50[/tex]
Thus, the amount of money saved by buying 100 pounds at $8.25 will be: [tex](\$8.50-\$8.25)= \$0.25[/tex]
The amount saved by buying 100 pounds at $8.25 is the change in price per pound and the discounted price, which is 0.25 cents
Price per pound = 8.50 cent
Calculating the cost per pound of of Sand at $100 for $8.25 :
100 = 8.25
1 = p
Cross multiply :
100p = 8.25
p = 8.25 / 100
p = $0.0825 = 0.0825 × 100 = 8.25 cent
The amount saved = 8.50 - 8.25 = 0.25 cent
Therefore, the amount saved by buying 100 pounds at $8.25 is 0.25 cent.
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In one day annie traveled 5times the sum of the number of hours Brian Traveled and 2. Togther they traveled 20hours. Find the number of hours each person traveled.
Answer:
17 hours and 3 hours.
Step-by-step explanation:
Let us assume that Annie travels x hours and Brian y hours.
Then given that x = 5y+2
Together they travelled = total hours of both = x+y
Substitute x = 5y+2 in the total distance.
We have an equation in a single variable y as
= 5y+y+2 = 20
Simplify to get
6y+2 = 20
subtract 2
6y = 18
Divide by 6
y =3
x =5y+2
= 5(3) +2=17 hours
Annie traveled 17 hours and Brian 5 hours.
Help please i dont know what to do?
plug the numbers into the formula: V = (4*6)/3
simplify parentheses: V = 24/3
divide: V = 8
Which numbers below belong to the solution set of the equation 16x=224
x would equal 14 hope this helps
What is the width of a rectangle with length 25 in. and area 375 in.^2?
Answer:
15 inches
Step-by-step explanation:
Area of a rectangle = width × length
We know the area and length so we can put them into the equasion.
375 in.^2 = width × 25 in.
We know that something times 25 is equal to 375. Therefore, we have to divide 375 by 25, which equals 15.
So, 375 in.^2 = 15 in. × 25 in.
The width of the rectangle is 15 inches.
To find the width of a rectangle, given its length and area, we can use the formula for the area of a rectangle:
Area = Length × Width
We are given that the length of the rectangle is 25 inches and the area is 375 square inches.
Let's substitute these values into the formula:
375 in² = 25 in × Width
To find the width, we need to isolate it on one side of the equation. We can divide both sides of the equation by 25 inches:
375 in² / 25 in = Width
Simplifying the expression:
15 in = Width
Therefore, the width of the rectangle is 15 inches.
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what does reflect across y=2 mean
Reduce the fraction -20t^5u^2v^3/ 48t^7u^4v
[tex]\dfrac{-20t^5u^2v^3}{48t^7u^4v}=\dfrac{-20}{48}\cdot\dfrac{t^5u^2v^2v}{t^5t^2u^2u^2v}=-\dfrac{5}{12}\cdot\dfrac{v^2}{t^2u^2}=-\dfrac{5v^2}{12t^2u^2}[/tex]
[tex]Used:\\\\a^n\cdot a^m=a^{n+m}[/tex]
Evaluate m^2-3m+5 where m= -4
Answer:
33 is your answer
Step-by-step explanation:
Plug in -4 for m in the expression
(-4)^2 - 3(-4) + 5
Simplify. Remember to follow PEMDAS. First, solve the number connected to the power sign.
(-4)^2 = (-4)(-4) = 16
Next, solve -3(-4). Multiply
-3(-4) = 12
Finally, combine like terms.
16 + 12 + 5 = 33
33 is answer
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~Senpai
In the graph what are the and y coordinates of the center.
A. (0,2)
B. (2,-1)
C. (1,0)
D. (-1,-2)
Answer:
The center of this ellipse is (-1, 2).
None of those choices are correct.
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
A. first quadrant
B. second quadrant
C. third quadrant
D. fourth quadrant
Question
A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?
A. first quadrant
B. second quadrant
C. third quadrant
D. fourth quadrant
Answer:
A. first quadrant.
Hope this helps!
C the third quadrant
under a counterclockwise rotation about the origin of 180°
a point (x, y ) in the first quadrant maps to ( - x, - y ) a point in the third quadrant.
Method B: Take the absolute value of the difference of the two numbers.
When taking the absolute value, show the larger number first, then show the lesser number first when finding the difference.
Method B: Take the absolute value of the difference of the two numbers. (2 pts)
|larger number – smaller number| |smaller number – larger number|
Answer-
The absolute value of the difference of the two numbers was found to be 7.
Solution-
The given two numbers are, 2 and -5.
Between these two number,
larger number = 2
smaller number = -5
(∵ As 2 is right of -5 on the number line)
[tex]\left |larger\ number-smaller\ number \right|[/tex]
[tex]=\left |2-(-5)\right |[/tex]
[tex]=\left |2+5 \right|= 7[/tex]
[tex]\left | smaller\ number -larger\ number \right|[/tex]
[tex]=\left |(-5)-2 \right|[/tex]
[tex]=\left |-5-2 \right|=\left |-7 \right|=7[/tex]
Therefore, it can be proved the order doesn't matter if we take the difference in absolute value.
-3|15-s|+2s^3 when s =-3?
Answer:
-3|15 - (-3)| + 2(-3)³ = -3|18| + 2(-27)
= -3(18) + 2(-27)
= -54 + (-54) = -108
Israel added $120 to his savings. This added amount represents 1/6 of his total savings. If s represents the total savings, which equation could be used to determine the value of s?
$720 becuase 120 divded by 1/6 is 720 and your mathbook couldve helped to
Answer:
[tex]\frac{1}{6}s = 120[/tex]
Step-by-step explanation:
Given : Israel added $120 to his savings. This added amount represents 1/6 of his total savings.
To Find : If s represents the total savings, which equation could be used to determine the value of s?
Solution :
Israel added $120 to his savings.
This added amount represents 1/6 of his total savings.
Let s be the total savings
So, ATQ
[tex]\frac{1}{6}s = 120[/tex]
So, The equation could be used to determine the value of s is [tex]\frac{1}{6}s = 120[/tex]
HELP ME PLEASEE WILL GIVE BRAINLEIST
1) Given
Because it was given to you
2) Opposite sides in 1 ray
3) supplementary
Because Supplementary angles add up to 180 degrees
5) Opposite angles are congruent
6) Transitive property
Because you proved earlier that m<4=m<1
7) Supplementary
Because Supplementary angles add up to 180 degrees
Forgive me if the computer program doesn't accept the wording that I provided and marks the answer as wrong
5n = -20 . How do I solve this equation?
Get the variable alone by doing the same thing to both sides. You will divide 5 by both sides which gets you to 5n/5 = -20/5. You can then cancel out the 5n/5 to get just n. Then find the greatest common factor of the numerator and denominator of -20/5, and then cancel out the GCF.
The answer is n = -4
The solution to the equation 5n = -20 is n = -4.
How did we get the value?To solve the equation 5n = -20, you can follow these steps:
Step 1: Divide both sides of the equation by 5 to isolate the variable n.
(5n) / 5 = (-20) / 5
Simplifying the equation gives you:
n = -4
So the solution to the equation 5n = -20 is n = -4.
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it cost $12 to attend a golf clinic with a local pro. buckets of balls for practice during the clinic cost $3 each how many buckets can you buy at the clinic if you have $30 to spend
the answer would be 6 buckets
15t+17=13t+14
solce the equation
[tex]15t+17=13t+14\\\\2t=-3\\\\t=-\dfrac{3}{2}[/tex]
What is the value of n? N/3-5=13
N/3 - 5 = 13
(N-15/3) =13 taking lcm
N-15 = 13×3
N-15 = 39
Therefore, N = 39+15 = 54
N/3-5=13
n/3-5=13 // -13
n/3-13-5=0
N=54
Mrs Tolbert was hungry and ate 12 out of the 36 pieces of chocolate. What fraction did she eat. What is the fraction in simplest form
12 out of 36 is the same as 12/36
Both 12 and 36 are divisible by 12.
12/36 = (1 * 12)/(3 * 12) = 1/3 * 12/12 = 1/3 * 1 = 1/3
Answer: 1/3
may someone help me please with this?
Hey There,
Your answer is:
486 R 1
2 goes into 17 8 times 17-16 = 1 bring down the 3, 2 goes into 13 6 times, 13-12 = 1
483 r 1
Make U the subject of the formula
D = ut + kt2
Remark
I'm going to interpret this equation as
D = ut + kt² The only difference is the 2.
Solution
Subtract kt² from both sides.
D - kt² = ut Now divide by u on both sides.
[tex]\dfrac{D - kt^2}{t} = \dfrac{ut}{t}[/tex]
The t's cancel out. on the right. You are left with u on the right.
[tex]\dfrac{D - kt^2}{t} =\text{u}[/tex]