For the information given in the statement let:
*h: number of hours the bike was rented
*R(h): total cost of renting the bike
So you have the following linear equation
\(R(h)=8h+18\)And since Melanie paid $74 to rent a bike then
\(\begin{gathered} R(h)=74 \\ \text{ Replacing} \\ 74=8h+18 \end{gathered}\)Now you can solve for h
\(\begin{gathered} 74=8h+18 \\ \text{ Subtract 18 from both sides of the equation} \\ 74-18=8h+18-18 \\ 56=8h \\ \text{ Divide by 8 into both sides of the equation} \\ \frac{56}{8}=\frac{8h}{8} \\ 7=h \end{gathered}\)Therefore, Melanie paid for a 7 hours bike rental.
i don’t know how to do this please helppp
Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side h
QZ/ST=PZ/RT
48/12=PZ/4
PZ/4=48/12
(PZ/4)3=48/12
PZ(3)/12=48/12
48/3=16
16=PZ.
3Step-by-step explanation:
Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much pure apple juice should she use?
95141 1404 393
Answer:
3 liters
Step-by-step explanation:
There's a simple and effective "visual" way to solve mixture problems that makes short work of this.
In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.
The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.
In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:
3 L of 100% juice1 L of 20% juicethe sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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(b) determine the ratio of the volume of a paraboloid (a parabola rotated about the y axis) to the volume of a cylinder with the same height and base radius: vparaboloid vcylinder with the same height and base radius . Vcone/Vcyl=_______
The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.
The volume of a paraboloid can be expressed as:
The formula for a paraboloid's volume is Vparaboloid = (π/3) x (r²) x h, where r is the base's radius and h is the object's height.
A cylinder's volume can be expressed as follows with the same height and base radius:
Vcylinder = π x (r²) x h.
A paraboloid's volume to a cylinder's volume with the same height and base radius is calculated as follows:
Vparaboloid / Vcylinder = (π/3) x (r²) x h / (π x (r²) x h) = (π/3) / π = 1/3.
The volume of a paraboloid is therefore 1/3 of the volume of a cylinder with the same height and base radius.
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(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.
Answer:
Hello your question is poorly written below is the complete question
An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean
answer : variance = 2
Step-by-step explanation:
compute the variance of the number of claims filed
x = number of claim filed
For Poisson distribution
mean = variance = Л
∴ Variance = 2
The complex fifth roots of 5-5sqrt3i
The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
The complex number is given in the question following as
3i
We have to determine the fifth roots of the given complex
As per the given question, we have
⇒ ⁵√3i
Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b, (Assuming a ≥ 0, b ≥ 0)
⇒ ⁵√3·⁵√i
Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.
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What is the answer please help no links no links
Evaluate 3xy+w. If x=4, y=5 and w=-3
Help
Answer:
57
Step-by-step explanation:
Given:
x = 4
y = 5
w = -3
Work:
3xy + w
3(4)(5) + (-3)
12(5) - 3
60 - 3
57
Factorize q2-4 completely
The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).
What is the factored form of the expression?Given the expression in the question:
q² - 4
To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.
The difference of squares formula states that :
a² - b² can be factored as (a + b)(a - b).
Given that:
q² - 4
Replace 4 with 2²
q² - 2²
From this expression, let a = x and b = 2
a² - b² = (a + b)(a - b)
q² - 2² = (q + 2)(q - 2)
Therefore, the factored form is (q + 2)(q - 2).
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The diameter of a circle is 3 cm. Find the circumference to the nearest tenth.
Answer:
The answer is 9.4 cm.
Step-by-step explanation:
To solve for the circumference of the circle, use the circumference formula, which is C = 2 \(\pi\) \(r\).
Next, in the problem, the circle has a diameter measure but no radius measure. To find the radius of this circle, divide the diameter (3 cm) by 2, and it will equal 1.5 cm. The radius is being divided by 2 because the radius of any circle is equal to half the diameter of the circle.
Then, plug in the information given from the problem into the formula, and the formula will look like C = (2) (\(\pi\)) (1.5 cm).
Finally, solve the equation, and the answer is 9.4 cm.
In a survey of employees at a fast food restaurant, it was determined that 10 cooked food, 13 washed dishes, 25 operated the cash register, 5 cooked food and washed dishes, 5 cooked food and operated the cash register, 8 washed dishes and operated the cash register, 3 did all three jobs, and 3 did none of these jobs. Complete parts a) through f) below.How many employees were surveyed?
Survey is a method used to collect the information from the group by asking relevant questions.
ProbabilityIt is simply how likely the event can be occurred or in other words it is a likelihood of an event occurring
Let the events be:
A----Cooked food P(A)=10
B----washed dishes P(B)=13
C----- operated the cash register.
P(C)=25
P(A∩B)=5
(cooked + washed dishes)
P(A∩C)=5
(cooked & operated the cash register)
P(B∩C)=8
(washed dishes and operated the cash register)
P(A∩B∩C)=3 did All three jobs
P(A∩B∩C)'=3 did none of these jobs
P(AUBUC) = P(A) + P(B) + P(C) - P(A∩B)-P(A∩C)-P(B∩C) + P(A∩B∩C).
A.) How many employees were surveyed?
=P(A) + P(B) + P(C) - P(A∩B)-P(B∩C)-P(C∩A) + P(A∩B∩C)
=(10+13+25)-(5-5-8)+3
=48-(-8)+3
= 48 + 8 + 3
= 59
= 59+ 3 (members who did none of the jobs)
=62
62 employees were surveyed
x=A∩B∩C
=3
ab= A∩B-x
=5-3
=2
bc=B∩C-x
=8-3
=5
ca=A∩C-x
5-3
=2
b) only cooked food:
=A-(ab+x+ca)
= 10-(2+3+2)
=10-7
=3
3 employees only cooked food
c)only operated the cash register:
=C-(bc+x+ca)
=25-(5+3+2)
=25-10
=15
15 employees only operated the cash register
d) employees cooked food or operated the cash register:
P(A or C)=P(A)+P(C)
=10+25
=35
e) washed dishes or operated the cash register
P(B or C)= P(B)+P(C)
=13+25
=38
f)only washed dishes:
=B - P(bc+x+ab)
=13-(5+3+2)
=13-10
=3
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this question is incomplete
The complete question is:
In a survey of employees at a fast food restaurant, it was determined that 10 cooked food, 13 washed dishes, 25 operated the cash register, 5 cooked food and washed dishes, 5 cooked food and operated the cash register, 8 washed dishes and operated the cash register, 3 did all three jobs, and 3 did none of these jobs. Complete parts A) through F) below,
A.) How many employees were surveyed?
B.) How many of the employees only cooked food?
C.) How many of the employees only operated the cash register?
D.) How many of the employees washed dishes or operated the cash register?
E.) How many of the employees washed dishes or operated the cash register ?
F.) How many of the employees only washed dishes?
what is the surface area of the rectangular prism
Answer:
The answer is 432
Step-by-step explanation:
6 x 8 x 9 =432
Answer:
348 in^2
Step-by-step explanation:
First you find the surface area for each face
The sides is 8*6
The front and back is 8*9
The top and bottom is 6*9
You then double each number of each face since there is 2 sides of each
8*6=48 * 2 = 96
8*9=72 * 2 = 144
6*9=54 * 2 = 108
Then you all them all together
96 + 144 + 108 = 348
List 5 examples of identity functions
Answer:
noob dsbhsaghcfddguhfcc
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Solve y = x³ for x if y = - 1000.
Answer: x = - 10
Step-by-step explanation:
We will use the equation given, substitute -1,000 in for y, and solve.
y = x³
(1,000) = x³
\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)
- 10 = x
x = - 10
find the value of x 22,27
15 points
grade 7 math
find the equation of a line perpendicular to 2x + 2y= -10 that passes through the point (6,2)
Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4
the table below shows' different possibilities for the number of games a team would need to win to maintain a certain percentage of wins. Which ratio of games won to the number of games played could also be included in this table?
Answer:
C
Step-by-step explanation:
I saw em in other ones
Will give brainlist if truly correct
2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Answer:
The answers are b and c
Step-by-step explanation:
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
.
CARDS
A car is going 50 miles per hour. A rate that describes this would have units of
GAME
A
miles and hours.
B
miles and cars.
D
POND
с
hours only.
D
miles only.
Answer:
A
Step-by-step explanation:
A describes both mile and hour units used in 50mph
(12 – 14x) = -8 – 1(8x - 12)
Answer:
x = 4/3Step-by-step explanation:
(12 – 14x) = -8 – 1(8x - 12)
12 - 14x = -8 - 8x - 12
12 - 12 + 8 = 14x - 8x
8 = 6x
x = 8/6
x = 4/3
Answer:
\(12 - 14x = - 8 - 1(8x - 12) \\ 12 - 14x = - 8 - 8x + 12 \\ 12 - 12 + 8 = - 8x + 14x \\ 8 = 6x \\ x = \frac{4}{3} \)
Pls hurry Solve the application problem. Find the area of a counter top that measures 2 yards by 2/5 yard.
A. 4/5 yd^2
B. 4 4/5 yd
C. 4 4/5 yd^2
D. 4/5 yd
Answer:
I believe its C i saw this yesterday somewhere not 100% sure
Step-by-step explanation:
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
how to write a quadratic equation in the form x^2+bx+c=0 with roots 7 and -2
Answer:
Below
Step-by-step explanation:
Roots 7 and -2 means
(x-7)(x+2) = 0 expand
x^2 -5x - 14 = 0 Done.
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. LetXbe the number of keys she tries before unlocking the door, countingthe key that actually worked. Find the expected number of keys she will try before she opensthe door.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
Probability of opening with the first key:
One key out of 8 working, so: 1/8 probability of opening with the first key, that is:
\(P(X = 1) = \frac{1}{8}\)
Probability of opening with the second key:
Doesn't work on the first(7/8 probability), works on the second(1/7 probability). So
\(P(X = 2) = \frac{7}{8}*\frac{1}{7} = \frac{1}{8}\)
Following the logic:
For each value of x from 1 to 8, we have that \(P(X = x) = \frac{1}{8}\)
Find the expected number of keys she will try before she opens the door.
Each outcome multiplied by its probability. So
\(E(X) = 1\frac{1}{8} + 2\frac{1}{8} + 3\frac{1}{8} + 4\frac{1}{8} + 5\frac{1}{8} + 6\frac{1}{8} + 7\frac{1}{8} + 8\frac{1}{8} = \frac{1+2+3+4+5+6+7+8}{8} = 4.5\)
The expected number of keys she will try before she opens the door is 4.5.
Fwam is going to invest in an account paying an interest rate of 5.9% compounded
daily. How much would Fwam need to invest, to the nearest hundred dollars, for the
value of the account to reach $91,000 in 12 years?
In order for the account value to reach $91,000 in 12 years, Fwam would therefore need to invest $39,165.95, to the closest hundred dollars, assuming the interest rate is 5.9% compounded daily.
what is interest ?In exchange for using borrowed funds or assets, a borrower must pay the lender interest. It is charged for a certain duration of time, typically until the loan is fully returned, and is typically stated as a percentage of the amount borrowed. This fee is known as the interest rate. For instance, if a bank lends you $1,000 at a 5% annual interest rate, after a year of borrowing the money you would still owe the bank $50 more in interest. The creditworthiness of the borrower, the risk of the loan, and current market conditions are frequently used to establish the interest rate.
given
We know that Fwam expects the account to be worth $91,000 in 12 years and that the interest rate is 5.9% compounded daily in this situation.
We must convert the interest rate and the time period to the proper units before we can use the formula.
We begin by converting the 5.9% yearly interest rate to a daily rate:
daily rate is equal to (1 + 0.059/365)(365/365)-(1-1) = 0.00015999.
4,380 days in 12 years, or 365 days per year.
We can now enter the values into the formula to find P:
$91,000 = P × 2.3226
P = $39,165.95
In order for the account value to reach $91,000 in 12 years, Fwam would therefore need to invest $39,165.95, to the closest hundred dollars, assuming the interest rate is 5.9% compounded daily.
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For what value of x must ABCD be a parallelogram?
Answer:
7
Step-by-step explanation:
add 7 to 3x
Then: 4x-3x=1x which gives:
1x=7
7/1=7
Provide the missing reasons for the proof.
Answer:
1. Given
2. Vertical Angles Congruence Therom
3. Side - Angle - Side Congruence Postulate
Step-by-step explanation:
Look at the attached image
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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