The demand is 667 boxes when the price is increased to $6.
Step-by-step explanation:
Given that,
The variable x is the demand andThe variable p is the price. Let k be the constant of proportionality.We then express the inverse relationship as:
⇒ [tex]x = \frac{k}{p}[/tex]
⇒ [tex]k=xp[/tex]
It is given that, when the price is $5, the demand is 800 boxes.
So, substitute x=800 and p=5
⇒ [tex]k=800\times 5[/tex]
⇒ [tex]k=4000[/tex]
To find the price increased to $6 :
Now, substitute x = 6 and k = 4000 to solve for p.
⇒ [tex]p=\frac{k}{x}\\\\[/tex]
[tex]=\frac{4000}{6}\\\\[/tex]
[tex]=666.6667[/tex]
⇒ 667 (approximately)
Therefore, the demand at a price of $6 is approximately 667 boxes.
A book has 180 pages. Hailey read 12 pages each day. After a certain number of days, there are 60 pages left. Which equation, when solved for x, gives the number of days Hailey read?
Answer:
180 − 12x = 60
Step-by-step explanation:
When you flip a biased coin the probability of getting a tail is 0.44.
Find the probability of getting a head.
The probability of getting a head when flipping a biased coin, which has the probability of 0.44 for tails, is 0.56 or 56%. This is calculated by subtracting the probability of tails from 1.
Explanation:When dealing with a biased coin, the probability of the two outcomes, heads and tails, must still add up to 1, since these are the only two possible outcomes of a flip. In this case, you have been given the probability of getting tails as 0.44. Therefore, the probability of getting heads must compliment this to sum up to 1.
To find the probability of getting a head, you simply subtract the probability of a tail from 1:
Probability of heads = 1 - Probability of tails
= 1 - 0.44
= 0.56 or 56%
In the context of probability, this means that over a large number of flips, you would expect to get a head about 56% of the time on this particular biased coin.
The measure of angle RTP is 50 degrees. Find the measure of angle TPS.
140
65
40
Answer:
40Step-by-step explanation:
90 degree angle
90 - 50 = 40
Numa turma, 5% dos homens e 2% das mulheres tem mais de 1,60m de altura. Por outro lado, 60% dos estudantes são homens. Se um estudante é selecionado aleatoriamente e tem mais de 1,60m de altura, qual a probabilidade de que o estudantes seja mulher?
Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much caffeine would be left in your system after 5 hours? Round to the nearest whole.
Answer:
Amount of caffeine left after 5 hours = 36 mg
Step-by-step explanation:
We are told that the cup has 310 mg of caffeine originally.
Since it decreases by 35 percent or 0.35 each hour, it means that for each additional hour, the new amount of caffeine would be (1 - 0.35) x previous amount i.e. 0.65 x previous amount. Thus;
After 0 hour, we have; 310 mg
After 1 hour, we have; 310(0.65)
After 2 hours, we have; 310(0.65)(0.65)
After 3 hours, we have; 310(0.65)(0.65)(0.65)
We can see this follows a pattern of;
A(t) = 310(0.65)^(t)
Where;
A(t) is the amount left after t hours
And t is time t hours
Thus, amount left after 5 hours is;
A(5) = 310(0.65)^(5)
A(5) = 310 x 0.11603
A(5) ≈ 36 mg
Answer:
36 mg
Step-by-step explanation:
Please refer to the attached image for explanations
Find the volume of the cone.
Either enter an exact answer in terms of 1 or use 3.14
Answer:
78.54
Step-by-step explanation:
V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]
V= 3.14 (25) (1)
V= 78.5
The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.
Explanation:To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.
For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:
V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.
So, the volume of the cone is approximately 167.47 cm³.
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Answer the question
Answer:
Step-by-step explanation:
(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)
= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24
{bring the like terms together}
= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v² - 9v - 48v - 24
= -3v⁴ - 15v³ - 45v² - 57v - 24
HINT:
-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3
= -3v²⁺² - 6v²⁺¹ - 3v²
-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)
= -9v¹⁺² - 18v¹⁺¹ - 9v
= -3v³ - 18v² - 9v
= -3v⁴ - 6v³ - 3v²
Sheila either walks or cycles to school The probability that she walks to school is 0.65 If she walks, the probability that she is late is 0.4 If she cycles, the probability that she is late is 0.1 What is the probably that on any one day Sheila is not late for school.
Answer:
Probability that she walks or cycle to school on any day and not be late is 0.705
Step-by-step explanation:
Part A
P(she walks to school) = 0.65
P(she will be late) = 0.4
P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6
Part B
P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35
P(she will be late) = 0.1
P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9
Thus, probability that she walks or cycle to school and not be late =
P(walks: not late) + P(cycle: not late)
= (0.65 x 0.6) + (0.35 x 0.9)
= 0.39 + 0.315
= 0.705
Therefore, probability that she walks or cycle to school on any day and not be late is 0.705
4/5 - 3/10 enter a zero or leave the whole number box blank to enter a fraction
Answer:
1/2
Step-by-step explanation:
4/5 - 3/10
Lcm would be 10
[(4×2) - 3]/10
(8 - 3)/10
5/10
1/2
A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?
Maya drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when Maya drove home, there was no traffic and the trip only took 5 hours. if her average rate was 21 miles per hour faster on the trip home, how far away does maya live from the mountains? do not do any rounding.
Answer: The distance from her house to the mountains is 280 miles.
Step-by-step explanation:
Let x represent the her speed while driving to the mountains.
if her average rate was 21 miles per hour faster on the trip home, it means that her speed while driving home is (x + 21) mph.
Distance = speed × time
Her trip to the mountains took 8 hours. It means that the distance she travelled on her way to the mountains is 8 × x = 8x
when Maya drove home, there was no traffic and the trip only took 5 hours. It means that the distance she travelled on her way to home is
5(x + 21)
Since the distance is the same, it means that
8x = 5(x + 21)
8x = 5x = 105
8x - 5x = 105
3x = 105
x = 105/3
x = 35 mph
The distance from her house to the mountains is
8 × 35 = 280 miles
What is the area of the composite figure?
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.
a.
70 square centimeters
b.
100 square centimeters
Selected:c.
105 square centimeters
This answer is incorrect.
d.
130 square centimeters
Answer:
a. 70 square centimeters
Step-by-step explanation:
The area of the composite figure = Area of trapezoid + Area of rectangle
Area of trapezoid = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex] (12 + 13) × 5
= [tex]\frac{1}{2}[/tex] ×125
= 62.5
Area of trapezoid is 62.5[tex]cm^{2}[/tex]
Area of rectangle = length ×breadth
= 5 × 2
= 10 [tex]cm^{2}[/tex]
Area of rectangle is 10[tex]cm^{2}[/tex]
The area of the composite figure = 62.5 + 10
= 72.5[tex]cm^{2}[/tex]
To 1 significant figure, the area of the composite is 70[tex]cm^{2}[/tex].
Answer:
Step-by-step explanation:
it's really b. Just did the test and put 70 and got it wrong.
a = 16, b = 30, c = ?
what is c equivalent to
Answer:
ok the anwer is C= 34
16^2+30^2=1156
√1156=34
so double check
16^2+30^2=34^2
256+900=1156
√1156=34
Step-by-step explanation:
Substituting the given values of Simple Algebra 'a' and 'b' into the equation a+b=c we get 16 + 30 = c. This simplifies to c = 46, so the answer is C) 46.
We are given that a is equal to 16 and b is equal to 30. The equation given is a+b=c. Substituting the given values of 'a' and 'b' into the equation, we get 16 + 30 = c. This simplifies to c = 46. Therefore, the answer is C) 46.
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The probable question may be:
If a is equal to 16, b is equal to 30, what is the value of c in the equation a+b=c?
Additional Information: In this question, we have two known values, a and b, which are 16 and 30, respectively. To find the value of c, we'll use the equation a+b=c Solving this equation will give us the equivalent value of c.
Options:
A) 14
B) 36
C) 46
D) 62
what vaule of b makes y=2x+b the same as y=2x?
Answer:
Step-by-step explanation:
hello :
y=2x+b the same as y=2x
y=2x means : y=2x+0 so : b=0
In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O .
Answer:
∠O ≈ 43°
Step-by-step explanation:
Draw a diagram to help you visualize (see photo below).
Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).
To find ∠O (which is represented by θ in the diagram), use the given sides:
QO = 61 feet
OP = 83 feet
OP is the hypotenuse since it's the longest side.
If ∠O = θ (angle of reference), then side QO is adjacent.
The trig. ratio that uses adjacent and hypotenuse is:
cosθ = adjacent / hypotenuse
Substitute the variables for this question
cosO = QO / OP
Substitute the known values
cosO = 61 feet / 83 feet Isolate "O"
∠O = cos⁻¹(61/83) Input into calculator
∠O ≈ 42.69787...° Exact answer
∠O ≈ 43° Round to the nearest whole degree
Therefore, the measure of ∠O is 43°.
Please comment below if you have any questions!
______ % of 803 is 1
Answer:
0,125%
Step-by-step explanation:
100% - 803
x% - 1
1x100/803
Answer:
80300
Step-by-step explanation:
How do you write 8.91 x 10⁴ in standard form?
Answer:
89100
Step-by-step explanation:
all you do it move the decimal place over 4 to the right
A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?
Answer:
47.5
Step-by-step explanation:
Add the bases. 8+11=19
Multiply 19 by 5 then divide to get 47.5
Answer:
[tex]47.5 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{11 + 8}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 47.5 {cm}^{2} [/tex]
How do I find the quadratic equation from its graph?
Here's a picture to explain it better.
Please respond quickly thanks
Answer:
cookies
Step-by-step explanation:
When Alex bought his new car in 2006, it was worth $28,350. In 2015, it was worth a third of its original value. Find the percent of change in the value of the car from 2006 to 2015.
The percent change in the value of the car from 2006 to 2015 is approximately -66.67%, meaning the car's value decreased by about 66.67% over that time period.
Explanation:The subject of this problem is percent change, and it is a mathematical concept used to understand the degree of change over time. In this case, the percent change in the value of the car from 2006 to 2015. As per the problem, the value of the car in 2006 was $28,350. In 2015, the value dropped to a third of the original value. Therefore, the value of the car in 2015 was $28,350 / 3 = $9,450.
Now, to find the percent change, you use the formula:
Percent Change = ((New Value - Original Value) / Original Value ) * 100
Substituting the given values in the formula, you get:
Percent Change = (($9,450 - $28,350) / $28,350) * 100
Simplifying that further, you find that the percent change is approximately -66.67%. This means, the value of the car decreased by approximately 66.67% from 2006 to 2015.
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HELP ASAP!!!!!!!!!!!
Describe the solution of h(x) shown in the graph below.
All solutions that lie on h(x)
All real solutions
All whole number solutions
All positive solutions
Solutions that lie on the line are -1 and 2.
When y is -2, x is either 0 or 1.
When y is 4, x is either -2 or 3.
The line never goes below -2
The correct answer is OPTION (A) All solutions that lie on h(x)
Why all solution that lie on h(x)?The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .
According to the graph ,
When y is -2, x is either 0 or 1.When y is 4, x is either -2 or 3.The line never goes below -2Therefore , all solutions lies on h(x)
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There are six different French books, eight different Russian books, and five different Spanish books. How many ways are there to arrange the books in a row on a shelf with all books of the same language grouped together?
Step-by-step explanation:
The number of books in French language = 6
The number of books in Russian language = 8
The number of Spanish books = 5
So, in total there are 19 books in 3 different languages F , R and S.
Now, the books are to be arranged in such a way that each language books are stacked together.
The possible number of ways to do it is :
1. French, Russian , Spanish.
2. French, Spanish, Russian.
3. Russian , Spanish, French.
4. Russian , French , Spanish.
5. Spanish, French, Russian.
6. Spanish, Russian, French.
So,there are total 6 ways to arrange the books in the desired manner.
Hence, there are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.
The total number of ways to arrange the books on the shelf, with each language's books grouped together, is computed by the formula 3! * 6! * 8! * 5! which covers arranging the language groups and the books within each group.
Explanation:This problem can be approached through the use of factorial operations in combinatorics, a branch of math dealing with combination and permutation. You want to find out how many ways there are to arrange these books with the condition that each language's books are grouped together. First, we take into account how to arrange the groups of languages, and then we arrange the books within each group.
We have 3 groups of books (French, Russian and Spanish) which can be arranged in 3! (3 factorial) ways, that is 3*2*1 equaling 6 ways to arrange the group of languages.
Within each group, suppose we arrange the French books in 6! ways, Russian books in 8! ways, and Spanish books in 5! ways. These can be arranged within their group in these many ways due to different book titles.
Thus, the total number of ways to arrange the books on the shelf under the given condition would be the arrangement of groups multiplied by the arrangements within each group. Or, 3! * 6! * 8! * 5!. This represents your answer.
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Given that f (x) = 22 + 16x + 63 and g(x) = x + 9, find f(x) + g(x) and
express the result in standard form.
Answer:
17x + 94
Step-by-step explanation:
Step 1 : Add 16x and x = 17x
Step 2: Add 22 + 63 + 9 = 94
Because the highest exponent of x goes first
And there's only one x
Then simply add the constant (any number with no x)
17x +94
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the interest rate is compounded annually, quarterly, monthly, or daily? Which compounded interest rate should Darren choose?
We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
[tex]5\%=\frac{5}{100}=0.05[/tex]
When compounded annually, [tex]n=1[/tex]:
[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]
[tex]A=4500(1.05)^{10}[/tex]
[tex]A=4500(1.6288946267774414)[/tex]
[tex]A=7330.025820498\approx 7330.03[/tex]
When compounded quarterly, [tex]n=4[/tex]:
[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]
[tex]A=4500(1.0125)^{40}[/tex]
[tex]A=4500(1.6436194634870132)[/tex]
[tex]A=7396.28758569\approx 7396.29[/tex]
When compounded monthly, [tex]n=12[/tex]:
[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]
[tex]A=4500(1.00416666)^{120}[/tex]
[tex]A=4500(1.64700949769)[/tex]
[tex]A=7411.542739605\approx 7411.54[/tex]
When compounded daily, [tex]n=365[/tex]:
[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]
[tex]A=4500(1.0001369863013699)^{3650}[/tex]
[tex]A=4500(1.6486648137656943695)[/tex]
[tex]A=7418.9916619456\approx 7419.00[/tex]
Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.
Evaluate the expression
Answer:
3
Step-by-step explanation:
3x3=9
Can someone help me with this question please I really need help.
Answer:
Step-by-step explanation:
raise your hand
Answer:
9. I believe is J
10. G just remember the per, the each, and every always represents x
11. x = -3
12. b = 20
Here's a hint for 11 and 12 always combine like terms
Hope this help message me if needed
Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A Rectangular Rug That Is 6 Feet Wide And 10 Feet Long. Will The Rug Fit On The Floor Of Her Room? Explain.
Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
Answer:
yessssss
Step-by-step explanation:
The lighthouse was moved 230 feet inland at a rate of 40 feet per hour. How many hours did it take to move the lighthouse? What must you do to solve this? *
1. add 230 ft and 40 fph
2. subtract 40 fph from 230 ft.
3. multiply 230 ft by 40 fph
4. divide 230 ft by 40 fph
Answer:
5.75
Step-by-step explanation:
4) 230 ÷ 40 = 5.75
Answer:
lol
Step-by-step explanation:
The sum of the interior angles of a triangle add up to be
degrees?
This question is a little confusing but i will try my best to answer it pls mark me a brainliset if its helpful in anyway.
the 3 sides of the triangles add up 180 degrees
Answer:
Step-by-step explanation:
Its 180 degrees in total if it is an equilateral triangle each corner is 60 degrees, but still add up to 180. All triangles add up to 180 degrees.