Answer:
$96.15Step-by-step explanation:
Step one:
given data
total number of weeks =52 weeks
study time per week is = 10 hours
total study time for the year = 52*10
=520 hours per year.
Step two:
given that the value of the scholarship for one year is $50,000.
we want to find the amount that an hour of study brings
so we have to divide the total scholarship by the amount of study time
50000/520
=$96.15
your hourly return on your investment in study time is $96.15
There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
Answer:
The maximum area is therefore is 93750 ft²
Step-by-step explanation:
The given parameter are;
The a]length of fencing available = 1500 ft.
The perimeter of the figure = 9·x + 4·y
Therefore, 9·x + 4·y = 1500 ft.
The area of the figure = 6 × (x × y) = 3·x × 2·y
From the equation for the perimeter, we have;
9·x + 4·y = 1500
y = 1500/4 - 9/4·x = 375 - 9/4·x
y = 375 - 9/4·x
Substituting the value of y in the equation for the area gives;
Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²
Area = 2250·x - 27/2·x²
The maximum area is found by taking the derivative and equating to zero as follows;
d(2250·x - 27/2·x²)/dx = 0
2250 - 27·x = 0
x = 2250/27 = 250/3
x = 250/3
y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5
The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²
The maximum area is therefore = 93750 ft.²
Witch fraction is not in simplest form 5/15 or 5/12
Do imaginary numbers follow the rules of algebra?
Answer:
no
Step-by-step explanation:
A recent survey by the alumni of a major university indicated that the average salary of 10,000 of its 300,000 graduates was $125,000. What is the Population?
Answer:
The population is the total number of the universities graduates i.e [tex]N = 300,000[/tex]
Step-by-step explanation:
From the question we are told that
The number of students that are consider is n = 10,000
The total number of graduates is [tex]N = 300,000[/tex]
The mean is [tex]\= x = \$125 , 000[/tex]
Here the population is The total number of graduates with value [tex]N = 300,000[/tex], this is because a population is the pool from with a sample is drawn and in this case the pool is [tex]N = 300,000[/tex] while the sample with is drawn is n = 10,000
Name a ray with an endpoint of A.
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
algebraic expression for 15 8/9 less than the product of 5 and a number b
Answer:
[tex]15\frac{8}{9}[/tex] < 5b
Step-by-step explanation:
15 8/9 less than the product of 5 and a number b
Product of 5 and a number b;
5 x b = 5b
Now,
[tex]15\frac{8}{9}[/tex] less than
[tex]15\frac{8}{9}[/tex] < 5b
The algebraic expression is [tex]15\frac{8}{9}[/tex] < 5b
When a number is less than another, the other number is greater.
8. If b(x) = -2(x-50), what is the value of
b(20)? Request
HELP ASAP!!! I WILL GIVE BRAINLIEST
Answer:
ok what's the question
Answer:
C
Step-by-step explanation:
hope this helps
Question
Help me -.8+ 2X = .3 - x
Step-by-step explanation:
2x+x=.3+.8
3x= 1.1/:3
x=0.366
Answer:
x = -2.566667
Step-by-step explanation:
simplify both sides
8 + 2x = 0.3 - x
8 + 2x = 0.3 + - x
2x + 8 = - x + 0.3
add x to both sides
2x + 8 + x = - x + 0.3 + x
3x + 8 = 0.3
subtract 8 from both sides
3x + 8 - 8 = 0.3 - 8
3x = -7.7
divie both sides by 3
3x/3 = -7.7/3
x = -2.566667
how do you solve 18 - (-2)=
Answer:
the answer would be 20
Step-by-step explanation:
so if 18-(-2)=?
two nwgatives make a positive. So the equation would turn into 18+2=20
Im not 100% if this is right but htis is how I was taught to do it.
2(x2 + 6) – 3 vy when x = 3 and y = 64.
Answer:
73
Step-by-step explanation:
you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2
then you add them together and after you subtract 3 from 76 which = 73
due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.
Answer:
After 8 weeks, Faith would have $88. money saved = 40+6w
Answer:
$88 saved in 8 weeks
Step-by-step explanation:
Part 1:
You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.
Part 2:
40 + 6w = t
w would represent the number of weeks, t would represent the total number of money saved.
use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
Step-by-step explanation:
It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.
If you divide 6 by 1/4, you will get 24.
If you divide 4 by 1/6, you will get 24.
How to create 1/4 from 1,3, and 4?
How to create 1/6 from 1,3, and 6?
Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!
So, the answer is 6/[1–3/4]=24.
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
write down the factors of 18
Answer:
Factors of 18 are 1, 2, 3, 6, 9, 18
Jake has $100 dollars in his wallet. He spends $15 at Tastee Sub and $10 at Wawa. As he is walking home, Jake finds a $20 bill on the ground. Then Brandon comes along and borrows $40 from jake. That night jake decided to do some chores at home and earns $35. How much does jake end up with at the end of the day
Answer: $75
Step-by-step explanation:
Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
For more about the linear function
brainly.com/question/21107621,
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(Find common denominator first.)
3/2 + b=7/4
Answer:
b = 1/4
Step-by-step explanation:
Take the given fractions : 3/2 and 7/4 and find a common denominator.We will use 4 as a common denominator.
In order for the denominator of 3/2 to get to 4, you need to multiply by 2.3 × 2 = 6 2 × 2 = 4
New fraction: 6/4Now we have the equation 6/4 + b = 7/4
7/4 - 6/4 = 1/4
5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.
x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-2(x-4)=4
-2(2-4)=4
4=4
Hence, x=2 is the solution
26/x=13
Now x=2
26/2=13
13=13
Hence, x=2 is the solution
-3.8x=-7.4
Now x=2
-3.8×2=-7.4
-7.6=-7.4
x=2 is not a solution of -3.8×2=-7.4
4(x - 1) – 3(x - 2) = -8
4(2-1)-3(2-2)=-8
4=-8
x=2 is not a solution of -3.8×2=-7.4
Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
To learn more on Equation:
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if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
Allison has a $35 budget for the county fair. She spends $15 at a craft booth and she wants to buy some kettle corn for her friends that cost $4 for each bag.
Let x = number of friend's
Answer: she can buy it for 5 friends
Step-by-step explanation:
$35(budget)- $15(craft booth) =$25
then $25 divided by $4 equals 5
So 5 people she can but for.
In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?
could someone help me with this ? i need to find m
the three angles of a triangle always add up to 180 degrees.
So, add the three angles together!
2x - 12 + 2x + 17 + 9x - 7 = 180
Group the similar numbers together.
13x -2 = 180
13x = 182
x = 14
Plug x in to 2x + 17
14*2 + 17 = 45
mX = 45 degrees
Answer:
m∠X = 45°
Step-by-step explanation:
All angles in a triangle add up to 180°
2x - 12 + 2x + 17 + 9x - 7 = 180
13x = 180 - 17 + 12 + 7
13x = 182
x = 14°
m∠X = 2x + 17
sub x = 14° into m∠X
2(14) + 17
m∠X = 45°
If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?
Answer:192
Step-by-step explanation:
Calculate the area l*w or s*s
Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here
4*8=32/1=32*6=192
Answer both question carefully. All help needed on this. Thank you!
Answer:
9) It will be congruent to the original image. Or stay the same.
10) It gets enlarged
Step-by-step explanation:
WILL GIVE BRAINLIEST NEED DONE ASAP
Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4), m= 2/3
2. (5, -3); m = 2
3. (6,0); m = 3/4
4. (-1, 2); m = 7
5. (-3,-5)m= 1/3
6. (4,0); m = -5
Answer:
y=2/3x-16/3
Step-by-step explanation:
ok ill show you how to do one question since the rest will take too long so what you do is
equation is y=mx+b right
so you have slope and these points (2,-4) and m=2/3
y=2/3x +b right
now all you do is sub in x and y which are ur given points
-4=2/3 (2) +b
now you solve for b
-4 = 4/3 + b
-4-4/3 = b
-12/3 - 4/3 = b
-16/3=b so therefore
y=2/3x-16/3
Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.
133.1 kilometers
Step-by-step explanation:
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $. Complete parts a through c below.
Answer:
a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore given as follows:
You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.
a. Should the cost of service and insurance determine which option you choose?
A. Yes, because you probably don't have to pay for services when you buy the car.
B. No, because it is cheaper to lease the car than to buy it.
C. No, because you will probably have to pay for service and insurance with either plan.
D. Yes, because you get a discount on your insurance when you lease the car.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)
B. No, the total cost of the car at the end of the lease is $___(fill in the blank)
c. What are some possible advantages of leasing the car?
A. You can sell the car whenever you want and you can make money on the car when you sell it.
B. The insurance costs less and you get a service discount.
C. You can give the car back whenever you want and you can get a new car whenever you want.
D. Not all of the money is needed up front and you have years to decide if you want to buy the car.
The explanation of the answer is now provided as follows:
a. Should the cost of service and insurance determine which option you choose?
No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.
Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.
b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?
From part a above, it is stated that the cost of service and insurance should not determine which option to choose. Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.
This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.
Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:
Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400
Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.
c. What are some possible advantages of leasing the car?
Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.
Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.