A club treasurer has $28.45 consisting of nickels, dimes, and quarters. she has 9 more nickels than dimes and three times as many dimes as quarters. how many does she have of each coin?
I have a math problem
The points ( - 6, - 2) and ( - 4,6) fall on a particular line. what is its equation in point-slope form?
Armando likes to watch sports on television. He recorded the following statistics about four games he watched. (Note: The times below include television commercials and commentary.) SportTime WatchedAmount of Game Watched basketball1 hr 27 min1 of 2 halves football48 min1 of 4 quarters soccer50 min1 of 2 halves baseball1 hr 24 min4 of 9 innings Order the sports by their unit rates in hours per game from least to greatest.
Where does the function f have a zero? (more than one can apply)
A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
−3x+5y=−13
−3x+y=−7
−3x+y=17
−3x+5y=13
The equation y=0.25x+50 models the cost y of renting a car if the car is driven x miles according to the model what is the best estimate of the cost for renting a car if you plan to drive 250 miles
Answer: $112.5
Step-by-step explanation:
Given : The equation [tex]y=0.25x+50[/tex] models the cost y of renting a car if the car is driven x miles according to the model .
To find the cost for renting a car if you plan to drive 250 miles, we substitute x= 250 in the given equation , we get
[tex]y=0.25(250)+50\\\\\Rightarrow\ y=62.5+50\\\\\Rightarrow\ y=112.5[/tex]
Hence, the cost for renting a car if you plan to drive 250 miles = $112.5
Thus , the best estimate of the cost for renting a car if you plan to drive 250 miles = $112.5
Alexia and Haley start out together to bike from Apple Valley to Hesperia, a distance of 15 miles.
Alexia bikes at 5 miles per hour.
Haley bikes at 7.5 miles per hour.
Which statement is true?
They arrive at the same time.
Alexia arrives 1 hour later than Haley.
Alexia arrives 2.5 hours later than Haley.
Haley arrives 37.5 hours earlier than Alexia.
range of 89,82,73,86,89,68,94
Patrick has seen 10 movies this year.what is the ratio of comedies to the toatal. 4 actions,1 animated,3 comedys,and 2 dramas
A retiree invests $8,000 in a savings plan that pays 7% per year. What will the account balance be at the end of the first year?
Final answer:
To calculate the account balance at the end of the first year for an investment of $8,000 at 7% per year, the formula for simple interest is used. After applying the formula, the final account balance is determined to be $8,560.
Explanation:
The retiree invests $8,000 in a savings plan that pays 7% per year. To find out what the account balance will be at the end of the first year, we can use the formula for simple interest because it is only for one year. The formula is:
Final amount = Principal amount (1 + (Interest rate * Time))
Let's calculate:
Principal amount (P) = $8,000Interest rate (r) = 7% or 0.07Time (t) = 1 yearNow, substituting the values into the formula:
Final amount = $8,000 (1 + (0.07 * 1))
Final amount = $8,000 (1 + 0.07)
Final amount = $8,000 (1.07)
Final amount = $8,560
So, the account balance at the end of the first year will be $8,560.
What is the solution of the system?
Use the elimination method.
4x + 2y = 18
2x + 3y = 15
Enter the answer in the boxes.
(__,__)
To solve this system of equations using the elimination method, we multiply one or both equations so that the coefficients of either x or y are the same or additive inverses. Then, we subtract one equation from the other to eliminate one variable. Finally, we solve for the remaining variable by substituting the value of the other variable.
Explanation:To solve the system of equations using the elimination method, we need to eliminate one variable by multiplying one or both equations so that the coefficients of either x or y are the same or additive inverses. In this case, we can multiply the first equation by 3 and the second equation by 2:
12x + 6y = 54
4x + 6y = 30
Next, we subtract the second equation from the first:
(12x + 6y) - (4x + 6y) = 54 - 30
8x = 24
Divide both sides by 8 to solve for x:
x = 3
To find the value of y, substitute the value of x into either of the original equations:
4(3) + 2y = 18
12 + 2y = 18
2y = 18 - 12
2y = 6
y = 6/2
y = 3
what is the slope intercept form of 2x+y=8
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 mean and median
How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
Factor this expression completely 9a4 - b2
determine the equation of the graph and select the correct answer below
Answer:
slef
Step-by-step explanation:
Polly brennan earns $8.32 per hour for playing fuitar at kaldi's coffee shop. she works 12.5 hours a week. what is the musician's stright- time pay?
Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth.
A) JKM is a right triangle because KM = 15.3.
B) JKM is a right triangle because KM = 18.2.
C) JKM is not a right triangle because KM ≠ 15.3.
D) JKM is not a right triangle because KM ≠ 18.2.
Answer:
C. JKM is not a right triangle because KM ≠ 15.3.
Step-by-step explanation:
We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.
In order to triangle JKM be a right triangle [tex]KM^{2}=JK^{2}+JM^{2}[/tex].
We will find length of side KM using our right triangles JLM and JLK as [tex]KM=KL+LM[/tex].
Using Pythagorean theorem in triangle JLM we will get,
[tex]LM=\sqrt{JM^{2}-JL^{2}}[/tex]
[tex]LM=\sqrt{8^{2}-5^{2}}[/tex]
[tex]LM=\sqrt{64-25}[/tex]
[tex]LM=\sqrt{39}=6.244997998\approx 6.24[/tex]
Now let us find length of side KL.
[tex]KL=\sqrt{JK^{2}-JL^{2}}[/tex]
[tex]KL=\sqrt{13^{2}-5^{2}}[/tex]
[tex]KL=\sqrt{169-25}[/tex]
[tex]KL=\sqrt{144}=12[/tex]
Now let us find length of KM by adding lengths of KL and LM.
[tex]KM=12+6.24=18.24[/tex]
Now let us find whether JKM is right triangle or not using Pythagorean theorem.
[tex]KM^{2}=JK^{2}+JM^{2}[/tex]
[tex]18.24^{2}=13^{2}+8^{2}[/tex]
[tex]18.24^{2}=169+64[/tex]
[tex]18.24^{2}=233[/tex]
Upon taking square root of both sides of equation we will get,
[tex]18.24\neq 15.264337522473748[/tex]
[tex]18.2\neq 15.3[/tex]
We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.
Answer:
I just took the test it is C
Please help thanks very much!
A truck is moving at a rate of 105 kilometers per hour and the diameter of its wheels is 1 meter find the angular speed of the wheels in radians per minute
The angular speed of the truck's wheels is 3500 radians per minute, calculated by dividing the linear speed in meters per minute by the wheel's radius in meters.
Explanation:To calculate the angular speed of the truck's wheels in radians per minute, we first need to understand the relationship between linear speed and angular speed. Angular speed (
adians) is given by the formula
adians = linear speed (v) divided by the radius of the wheel (r).
First, we convert the truck's speed from kilometers per hour to meters per minute:
105 km/hr = (105 * 1000 meters) / (60 minutes) = 1750 meters/minute.
Since the diameter of the wheel is 1 meter, the radius (r) is half of that, which is 0.5 meters.
Now we can calculate the angular speed:
adians = v / r = 1750 m/min / 0.5 m which gives us 3500 rad/min.
Therefore, the angular speed of the wheels is 3500 radians per minute.
Use volume and meniscus in the same sentence
A class has 17 boys and 8 girls. one student is selected. f is the event of selecting a girl, and k is the event of selecting kate, one of the girls in the class. determine p(k | f) and p(f | k
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
What is this function written in vertex form?
A) f(x) = (x –1)2 – 7
B) f(x) = (x +1)2 – 7
C) f(x) = (x –1)2 – 5
D) f(x) = (x +1)2 – 5
It has to be A, B, C, Or D someone has asked this question before but whoever answered it just copied and pasted the question that was asked as the answer so please help the answer has to be one of the above.
What is the product of 1/2 times 2/3 times 3/4 .... times 1999/2000?
What is the value of x?
What Theorem of postulate did you apply to determine your answer?
Show your work and explain.
The outdoor furniture buys wooden benches for $50 each. The furniture store owner adds 200% markup to the cost of the bench. After hearing from the costumers the selling cost of the bench is too high, the owner changes the markup to 120%. How much less per bench does the store owner make with the lower markup
Cheryl Assembled 128 chairs in 16 hours. How many chairs per hour?
In a proportional relationship, how can you determine the unit rate while looking at the graph?
What is the answer to in a science class the girl to boy ratio is 3 to 7 out of 50 student how many are boys?