Answer:
a=-1
Step-by-step explanation:
1/2a=1/4a+2
by cross multiplying,
2a=4a+2
2a-4a=2
-2a=2
a=2/-2
a=-1
hope you understood :)
Solve for u in terms of r,s, and t..
r=s+u+t
u= ?
Answer:
r-s-t = u
Step-by-step explanation:
r=s+u+t
Subtract s from each side
r-s=s-s+u+t
r-s = u+t
Subtract t from each side
r-s-t = u+t-t
r-s-t = u
The distance around the lake is 0.75 mile. Ryan ran around the lake 3 times on Saturday. How far did he run?
According to the graph about _____ of households in Africa owns a computer in 2008.
2013 about 1/3 of all households in_______ had a computer.
the number of households with a computer is_______ in all regions overtime
The graph is described in math as a graphical representation or diagram that organizes data or concepts. This graph's dots frequently indicate the relationship of two or more things. A bar chart can then be used to measure the information.
In 2008, nearly 5% of African households owned a computer, according to the graph.In 2013, almost one-third of all Asia homes owned a laptop.Throughout time, the proportion of families that own a computer is increasing across the board.Therefore, the final answer is "5%, Asia, and increasing".
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The owner of a food cart sells an average of 120 frozen treats per day during the summer.which graph best shows this relation ship between the number of days and the number of frozen treats sold
Answer:B
Step-by-step explanation:
Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and
products of $2000. There is also a monthly cost of $1600 for each employee you hire. If you hire x
employees for the year, what is the total cost, C, in dollars, to keep your business running?
Answer:
[tex]C(x)=24,000+19,200x[/tex]
Step-by-step explanation:
Mathematical Modeling
To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.
This problem requires to build a model for the yearly cost of a small and successful business.
The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.
The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be
12*1,600x=19,200x.
We finally form the total cost function:
[tex]\boxed{C(x)=24,000+19,200x}[/tex]
Madison’s band used to practice for 50 minutes every Tuesday. Now they practice 130% as many minutes as they used to. How many minutes do they play on Tuesdays now?
Answer:
it is 65 :)
Step-by-step explanation:
Answer:
Answer is 65.
Step-by-step explanation:
I got it right on Time4Learning
Mr. Drew wants to build a square sandbox with an area of 225 square feet.
What is the total length of wood Mr. Drew needs to make the sides of the sandbox?
The length of the sandbox will be 15 feet.
What is the area of the square?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
Given that Mr. Drew wants to build a square sandbox with an area of 225 square feet.
The length will be calculated by using the area formula for square.
Area of square = Length x width
Since the length and width of the square are the same. Then the area of the square can be written as:-
Area of square = ( Length )²
225 = ( Length )²
( Length ) = √225
( Length ) = 15 feet
Therefore, the length of the sandbox will be 15 feet.
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A health study tracked a group of person for five years. At the beginning of the study, 20% were classified as heavy smokers, 30% as light smokers, and 50% as nonsmokers. Results of the study showed that light smokers were twice as likely as nonsmokers to die during the five-year study, but only half as likely as heavy smokers. A randomly selected participant from the study died during the five-year period. Calculate the probability that the participant was a heavy smoker. g
Answer: 0.421
Step-by-step explanation:
Heavy smoker = 20%
Light smoker = 30%
Non smokers = 50%
We can assume that the probability that a non-smoker is going to die in the next 5 years be y.
Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:
= 2 × y = 2y
Probability for the Heavy smokers will be:= 2 × 2y = 4y
The expected number of people that will die for each in the next 5 years will be:
Non smoker:
= 50% × y
= 0.5 × y
= 0.5y
Light smoker:
= 30% × 2y
= 0.3 × 2y.
= 0.6y
Heavy smoker:
= 20% × 4y.
= 0.2 × 4y
= 0.8y
Total = 0.5y + 0.6y + 0.8y = 1.9y
The probability that the participant was a heavy smoker will be:
= 0.8y/1.9y
= 0.421
three medium apples have about 285 calories
Answer:
3 apples = 885 calories
Step-by-step explanation:
3 x 285 = 885
Answer:
95 calories per apple
Step-by-step explanation:
285 / 3
= 95
Best of Luck!
What is g^-1(x)? What is the domain of g^-1(x)?
Answer:
g⁻¹(x) = 1/x - 4
(-∞, 0)∪(0, ∞)
Step-by-step explanation:
To find g⁻¹(x), switch the places of x and y. Rearrange the equation so that it is equal to y.
g(x) = 1/(x + 4)
x = 1/(y + 4)
x(y + 4) = (1/(y + 4))(y + 4)
x(y + 4) = 1
(x(y + 4))/x = 1/x
y + 4 = 1/x
y + 4 - 4 = 1/x - 4
y = 1/x - 4
g⁻¹(x) = 1/x - 4
For the domain, you need to look at where x is located in the equation. For this equation, x is in the denominator by itself. A fraction cannot have a denominator of 0. This means that x cannot be equal to 0. The domain is:
(-∞, 0)∪(0, ∞)
29×6 distributive property
Answer:
174
Step-by-step explanation:
Find the inverse of f(x) = 4x + 2.
The inverse of f is g(x) PLSSSS HELPPPPP!!!!!
Answer:
y=(x+2)/4
Step-by-step explanation:
f(x) = 4x +2 is the original equation
x = 4y + 2 is the inverse but we have to solve for y
x+2=4y
4y=x+2
y=(x+2)/4
f(x)=2x2+2x-3, find f(4)
Answer:
The answer is
[tex]f(4) = 37[/tex]Step-by-step explanation:
[tex]f(x) = {2x}^{2} + 2x - 3[/tex]
To find f(4) , substitute the value of x that's 4 into f(x). That is for every x in f(x) replace it with 4
That's
[tex]f(4) = 2 ({4})^{2} + 2(4) - 3 \\ = 2(16) + 8 - 3 \\ = 32 + 5 \\ = 37 \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex]f(4) = 37 \\ [/tex]
Hope this helps you
If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?
Answer:
the seventh grader because the eighth graders got 58 which is more than 50 so the 7th grader would get the pts
Step-by-step explanation:
The seventh grader should be awarded 50 points.
What is Data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test scores, employee salaries, football team member heights, etc.
Given:
If the team’s average time < one minute per leg, then the eighth graders earn 50 points.
If the team’s average time > one minute per leg, then seventh graders earn 50 points.
As, the eighth graders got 58 which is more than 50.
Hence, the 7th grader would get the points.
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What number should be at pyramid
[tex]\tt Step-by-step~explanation:[/tex]
To solve, we have to look for a pattern.
[tex]\tt Step~1:[/tex]
When you see pyramids like these, they usually tell you to add/multiply the two numbers to get a third number that goes on top. Here, we can see 3 and 4 on the bottom left hand corner. The third number on top of both 3 and 4 is 7. 3 + 4 = 7. Let's check 4 and 5, the middle two numbers. 4 + 5 = 9, and that number is on top of 4 and 5. Therefore, we can confirm that this is an addition pyramid.
[tex]\tt Step~2:[/tex]
Since 7 + 9 is 16 and 9 + 8 is 17, all we need to do in order to get the final number is to add 16 to 17.
[tex]\tt 16 + 17 =33[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~33}[/tex]
A certain forest covers an area of 3200km^2. Suppose that each year this area decreases by 3%. What will the area be after 7 years ?
3200*3%+3200=3296 this means each year it would increase by 96
96*7=672
672+3200=3872km^2
What is the slope of the line that passes through the points (5, 2) and (-3, 6)?
Answer:
-1/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6-2)/(-3-5)
= 4/-8
-1/2
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
........... :v
What is 2/3 divided by 1/2
Answer:
1.33333333333
Step-by-step explanation:
There is your answer!
A trail runner gets a new map of her favorite mountain.
HELP PLEASE ILL GIVE BRAINLIST
• Her old map has a scale of 1 cm to 100 m.
• Her new map has a scale of 1 cm to 500 m.
If the maps represent the same area, are the distances on the new map longer, shorter, or the same size as the old map? PLEASE HELP
Answer:
Shorter
Step-by-step explanation:
Since in the new map 1 cm is representing a larger area of 500m as compared to the previous map where 1cm represented 100m.
Factor Please show steps
3^5 + 12^4 − 36^3
Answer:
-25677 = -3^4×317^1
Step-by-step explanation:
Factor the following integer:
-25677
Hint: | Show that 25677 is divisible by 9.
The sum of the digits of 25677 is 2 + 5 + 6 + 7 + 7 = 27, which is divisible by 9. This means 25677 is too
25677 = 9×2853:
-25677 = -9×2853
Hint: | Express 9 as a square.
9 = 3^2:
-25677 = -3^2×2853
Hint: | Show that 2853 is divisible by 9.
The sum of the digits of 2853 is 2 + 8 + 5 + 3 = 18, which is divisible by 9. This means 2853 is too
2853 = 9×317:
-25677 = -3^2×9×317
Hint: | Express 9 as a square.
9 = 3^2:
-25677 = -3^2×3^2×317
Hint: | 3 has no proper divisors.
3 is prime:
-25677 = -3^2×3^2×317
Hint: | Find a divisor of 317 by testing the integers between 2 and sqrt(317)≈17.8 for divisibility.
Because 317 is odd, only test odd numbers for divisibility
317 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17
Since 317 is not divisible by any integer up to 17, it is prime:
-25677 = -3^2×3^2×317
Hint: | Express -25677 as a product of prime powers.
There are 4 copies of 3 and 1 copy of 317 in the product:
Answer: -25677 = -3^4×317^1
Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is times greater than its supplement.
Answer:
i am not sure
Step-by-step explanation:
Sara burnt 300 calories working out on the treadmill. Later she indulged into a pizza that had a calorie count of 400. Did she gain or lose calories? Explain
Answer: she gain calories
Step-by-step explanation:
Kylie jarred 12 liters of jam after 2 days. How many days does Kylie need to spend making
jam if she wants to jar 48 liters of jam in all? Solve using unit rates.
days
From 1960 to 1980, the consumer price index (CPI) increased from 29.6 to
82.4. If a pound of grapes cost $0.14 in 1960 and the price of grapes
increased at the same rate as the CPI from 1960 to 1980, by approximately
how much did the price of a pound of grapes increase from 1960 to 1980?
A. $0.82
B. $0.25
C. $0.39
D. $0.30
The price of pound of grapes increased from 1960 to 1980 is $0.25.
What is a consumer price index?The Consumer price index (CPI) may be a measure of the typical change overtime within the prices paid by urban consumers for a market basket of goods and services.The CPI is one amongst the foremost popular measures of inflation and deflation. The CPI report uses a special survey methodology, prices sample and index weights than the producer index number (PPI), which measures change within the prices received by producers of products and services.Given:
CPI in 1960 = 29.6
CPI in 1980 = 82.4
Price of pound of grapes in 1960 = $0.14
We have to find the increase in the price of pound of grapes from 1960 to 1980.
Now, the rate of increase in the CPI from 1960 to 1980 is given by:
⇒ Rate = (CPI in 1980) / (CPI in 1960)
⇒ Rate = 82.4/29.6
⇒ Rate = 2.78
Now, the price of pound of grapes in 1980 will be calculated as:
⇒ Price of pound of grapes in 1980 = (rate of increase in the CPI from 1960 to 1980) × (Price of pound of grapes in 1960)
⇒ Price of pound of grapes in 1980 = 2.78 × $0.14
⇒ Price of pound of grapes in 1980 = $0.389
Increase in the price of pound of grapes from 1960 to 1980 will be calculated as:
⇒ Increase in the price = (Price of pound of grapes in 1980) - (Price of pound of grapes in 1960)
⇒ Increase in the price = $0.389 - $0.14
⇒ Increase in the price = $0.249
⇒ Increase in the price ≈ $0.25
Therefore, the approximate increase in the price of pound of grapes from 1960 to 1980 is $0.25.
Hence, Option (B) is correct.
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Which of the following is the prime factorization for the number 2520?
Answer:
The prime factorization of 2,520 is 23 × 32 × 5 × 7. Since it has a total of 7 prime factors, 2,520 is a composite number.
Step-by-step explanation:
A contractor has five styles of homes, each with six styles of garages, five styles of decks, and six styles of carpeting. How many different possible homes are there?
Answer:
First, we need to list all the possible selections and the number of options that each selection has:
Style of home: 5 options.
Style of garage: 6 options.
Style of decks: 5 options.
Style of carpeting: 6 options.
The number of different combinations of possible homes is equal to the product between the number of options for each selection.
This is:
C = 5*6*5*6 = 900
So there are 900 possible houses (that are all different in some aspect)
help please will give brainilest
Answer:
See step by step explanation or see diagram.
Step-by-step explanation:
Hi!
So, we're asked to find a line that is parallel to the given line and passes through a point.
We're going to use slope-intercept form.
y=mx+b
M is slope and b is y-intercept
Start!: Find a line that is parallel to y= -2x +4 and passes through (-4,7)
Parallel lines have the same slope . We can change slope-intercept form to reflect that.
y=-2x + b
Now, we need to find b (the y-intercept). We can do this by plugging in the coordinates of the point that we were given.
7= -2 (-4) + b
7 = 8 +b
b = -1
Next, change the equation to reflect that.
y = -2x - 1.
So, go right.
This time, the point is (2,1) and the line is y= -x - 4.
The slope of a line parallel to y = -x -4 is -1.
y= -1x+b
Plug in the points:
1 = -1 (2) +b
1 = -2 +b
b = 3
Finish the equation.
y = -x + 3.
Go diagonally.
This time, the point is (-6,1) and the line is y = 1/2x +1 .
The slope of the parallel line will be 1/2.
y= 1/2x +b
Plug in points:
1 = 1/2 (-6) + b
1 = -3 +b
b = 4
y = 1/2x + 4
Go down.
This time, the point is (2,0) and the line is y= 3/2x+5
Slope of parallel line: 3/2
y = 3/2x+b
Subsitute points in.
0 = 3/2(2) + b
0 = 3 + b
b = -3
y = 3/2x -3
Go left.
This time, the point is (-1,-5) and the line is y=2x-9
Slope of parallel line: 2
y=2x+b
Substitute points:
-5 = 2(-1) + b
-5 = -2 + b
b = -3
y= 2x -3
Go diagonally.
This time, the point is (-9, -8) and the line is y= 1/3x+3
Slope of parallel line: 1/3
y = 1/3x+b
-8 = 1/3 (-9) +b
-8 = -3 +b
b= -5
y=1/3x-5
Go up.
This time, the point is (4,3) and the line is y= x +6
SOPL (slope of parallel line): 1
y=x+b
3 = 4 + b
b = -1
y=x-1
Go right.
This time, the point is (-2, -8) and the line is y=3x-1
SOPL = 3
y= 3x+b
-8 = 3(-2) +b
-8 = -6 + b
b = -2
y=3x-2
Go down.
This time, the point is at (1,4) and the line is y=-2x-1
SOPL: -2
y= -2x + b
4 = -2 (1) +b
4 = -2 + b
b=6
y= -2x + 6
Go diagonally.
This time, the point is (4,11) and the line is y = -1/2x-5
SOPL: -1/2
y= -1/2x + b
11 = -1/2 (4) +b
11 = -2 +b
b=13
y= -1/2x+13
Finish!
The sum of -3 and x is 5?!
Answer:
is this a question or a comment
Step-by-step explanation:
pliz answer my question,start from Qno:15
15 -differences between gymnosperms and angiosperms:
In gymnosperms ovules are exposed but in angiosperm ovules are enclosed in ovary.In angiosperm seeds are enclosed inside the fruits but in gymnosperm seeds are not enclosed inside the fruits.Gymnosperm bear cones instead of flowers but angiosperm bear well developed flowers.16-
They have mammary glands.Their body is covered with hai.Breathing takes place through lungs.17- Uniform acceleration is a change of equal velocity in equal interval of tine.
Non- Uniform acceleration is a change of unequal velocity in equal interval of time.
18- Three equation of motion:
v =u+ats=ut+1/2at^2v^2 = u^2+ 2as Hope this helps!!!A bicycle manufacturing plant is producing the first few frames for their new electric bicycle design. The first batch of 60 frames has some issues: 1/3 of the frames had a weak junction where top tube meets the seat tube. After some fine tuning, a second batch of 120 frames is made, of which 1/4 are bad, still having the weak junction. Finally, another bug is fixed and a third batch of 180 frames is made and only 1/5 of these are bad. Unfortunately, due to a clerical error, all 360 frames were combined, unlabeled, into the same shipping bin. You have access to a quick test that checks if a bike frame is defective, which is correct with probability 9/10. That is, if the bike frame is defective, the test will say it is defective with probability 9/10. If the bike frame is not defective, the test will say it is defective with probability 1/10.
A) Determine the probability that the test returns "defective," P[D].B) Determine the probability that, given the test returns "not defective," the bike frame is not bad P[Bc |Dc].
Answer:
a) 131/450
b) 1233/1276
Step-by-step explanation:
P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)
p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)
= 43/180
And that of P(good )
= 1 - 43/180
= 137/180
a)
P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)
= (43/180)*(9/10) + (137/180)*(1/10)
= 131/450
b)
P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)
= (137/180)*(1 - 1/10) / (1 - 131/450)
= 1233/1276
