How do I use 2.81 + 3.72 in benchmark to estimate this problem showing all work
At a science competition, 25 problems were given. Each correct answer earned 4 points, and 2 points were deducted for each incorrect answer. No points were deducted for any unanswered problem. Logan answered all but one of the problems, receiving a score of 66. How many correct answers did Logan have?
Answer:
Correct answers of Logan is 19.
Step-by-step explanation:
Since, Logan didn't answered one problem.
Thus, total problem he attempt is 24.
Let the number of correct answer = x
and, Number of wrong answer = y
Then x + y = 24
And since it is given that,
He earned 4 points for correct answer and deduct 2 points for wrong answer. and he got score 66.
Thus we get equation,
4x - 2y = 66
Solving these two equation we get,
x = 19 and y = 6
Thus, Correct answers of Logan is 19.
math 8th grade anybody help me
what the answer ?????
a^2 + b^2 = c^2
3^2 +b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = sqrt(16)
b=4
Calculate the slope of the line given the points (-2, 6) and (0, 4).
Question 1 options:
a) -1
b) 1
c) 0
d) none of the above
-8(5v-x-5)
use the distributive property to remove the parentheses
pls help!
Two weeks ago Audrey earned 84$ for 7 hours of work this week she earned 132$ for 11 hours of work find the numerical value of the slope of the line that represents Audrey's earnings.
Jay Downs only worked 15 of his scheduled hours last week. If he worked 75% of his scheduled hours, how many hours was he scheduled to work?
divide 15 hours by 75%
15 / 0.75 = 20
he was scheduled for 20 hours
Solve the equation on the interval 0 ≤ θ < 2π.
1 - sin θ = 1/2
Final answer:
To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, isolate the sine function and find the values of θ that satisfy the equation by taking the inverse sine of both sides. The solutions are θ = -π/6 and θ = 5π/6.
Explanation:
To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, we can start by isolating the sine function. Subtracting 1/2 from both sides of the equation, we get -sin θ = -1/2. Next, we can find the values of θ that satisfy this equation on the given interval by taking the inverse sine (sin⁻¹) of both sides. This gives us θ = sin⁻¹(-1/2).
Using the unit circle or a calculator, we can find the values of θ that satisfy this equation. Let's first find the value of θ in the first quadrant. Here, sin θ = -1/2, so θ = sin⁻¹(-1/2) = -π/6.
Since we are looking for solutions on the interval 0 ≤ θ < 2π, we need to find the other solution that lies in the second quadrant. In the second quadrant, sin θ is also negative, but the angle is measured from the positive x-axis in the clockwise direction. Therefore, θ = -π + π/6 = 5π/6 is the other solution.
Final answer:
To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, you can isolate the sine function and apply the inverse sine function to find the solutions.
Explanation:
To solve the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π, we can start by isolating the sine function. Subtracting 1/2 from both sides of the equation, we get -sin θ = -1/2.
Next, we can apply the inverse sine function to both sides. This will give us two possible values for θ within the given interval: θ = π/6 and θ = 5π/6.
Therefore, the solutions to the equation 1 - sin θ = 1/2 on the interval 0 ≤ θ < 2π are θ = π/6 and θ = 5π/6.
Find the slope help me plz
how to find exterior angle (8th grade math i really need help with this i wasn't paying attention when we learned about this and it is on my hw)
The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.
Rides cost 35$
A: write an equation for the revenue R in terms of the number of rides
B: How many rides are needed to break even.
Need help with both parts
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
The revenue function will be 35x and the breakeven point will be 100 rides.
From the information given, the revenue function will be calculated by multiplying the price by the quantity. This will be:
= 35 × x
= 35x
The breakeven point will be the point where total revenue equals the total cost. This will be:
35x = 15x + 2000
35x - 15x = 2000
20x = 2000
x = 2000/20
x = 100
Therefore, the revenue function will be 35x and the breakeven point will be 100 rides.
Read related link on:
https://brainly.com/question/6752750
Can somebody please approximate
2√37+2 to the nearest whole number? Thanks. :-) <3
Also please tell how to do it/what the formula is.
10 points
What is an irrational number between 7.7 and 7.9?
and no, 7.8 is not irrational.
Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) −5, −5, 1 + 2 i
Which of the following correctly shows the distributive property?
A. 4(x + 5) = x + (4)(5)
B. 4(x + 5) = (4)(x) + 5
C. 4(x + 5) = 5(x + 4)
D. 4(x + 5) = (4)(x) + (4)(5)
Answer:
D. 4(x + 5) = (4)(x) + (4)(5)Step-by-step explanation:
The distributive property: a(b + c) = ab + ac
the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel of their shoe. When Megumi wears 2cm wide heels, she exerts a pressure of 400 kPa. Determine a function to represent the pressure, p, exerted by Megumi if she wears heels of width, w.
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in inches and the length and width. Write and simplify an expression for the perimeter of the new pattern.
factor -1/3 out of 1/3y-3/2
please help
To factor out -1/3 from 1/3y - 3/2, distribute the negative sign to both terms resulting in -1/9y + 1/2.
Explanation:To factor out -1/3 from the expression 1/3y - 3/2, we can distribute the negative sign to both terms. This results in -1/3(1/3y) + (-1/3)(-3/2). Simplifying this further, we get -1/9y + 1/2.
Learn more about Factoring here:https://brainly.com/question/33624529
#SPJ2
r(x)=2√x s(x)=√x (rs)(4) = and (r/s)(3)=
plz help i am on a quiz right now if i get it right i will mark the one who helped me the brainlyest answer
To evaluate (rs)(4) and (r/s)(3) for the given functions, substitute the value of x into the functions and calculate the product and quotient, respectively.
Explanation:To find (rs)(4), we need to substitute the value of x into the functions r(x) and s(x) and then find their product. r(x) = 2√x, so r(4) = 2√4 = 2√2 = 2(2) = 4. s(x) = √x, so s(4) = √4 = 2. Therefore, (rs)(4) = 4(2) = 8.
To find (r/s)(3), we need to substitute the value of x into the functions r(x) and s(x) and then find their quotient. r(3) = 2√3 and s(3) = √3. Therefore, (r/s)(3) = (2√3) / √3 = 2.
Learn more about Evaluating functions here:https://brainly.com/question/12056604
#SPJ2
At the local grocery store, lemons are 52 cents each each and lines are 21 cents each . How many lemons and limes can you but for exactly $3.75.
what is the distance between -2.5 and 1.8
Which of the following is equivalent to 3^4?
A) 7
B) 12
C) 64
D) 81
3^4 = 3x3x3x3 = 81
Answer is D) 81
The prefix (deci-, centi-, or deca-) tells you to multiply by 0.1. Which one is it?
Which statement is not true about similar triangles? Corresponding angles are equal. Each triangle has 3 sides. The lengths of corresponding sides are proportional Corresponding sides are congruent.
Corresponding sides are congruent is not the correct answer here.
What is a similar and congruent triangle ?Similar triangles has same corresponding angles and the corresponding sides are in proportion and for the congruent triangles the corresponding angles and the corresponding sides are same.
Two triangles is similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.
We can can think of a triangle having x°, y°, z° as it's interior angle and for the other triangle to be similar it must also have x°, y°, z° as it's interior angle and the first triangle has length of the 3 sides equal to some values the other triangle to be similar it's side must have values in the same multiples of the previous values of the first triangle.
Learn more about similar and congruent triangles here :
https://brainly.com/question/12413243
#SPJ2
Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?
Please help. Explain using complete sentences
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
Please help me, its for a Program through a college and I need a lot of help.
The frequency of the sound wave determines its
frequency
pitch
wavelength
speed
if 4 apples cost $3.04 how much does just one cost