The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).
What does this mean to the contractor?
It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.
Recall that the contractor has two options for billing a completed job. They are:
500 dollars flat rate20 per work workedLet us fix x hours to be required for completing the project:
Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.
Stating this mathematically, e have
25x < 500 when x < 20.
This mean that
25x < 500 when x < 20.
Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars
We find that
25x<500 if x<20
This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.
If the number of hours is greater than 20, the hourly rate, i.e. $20 per hour, is preferable.If number of hours is more than 20, hourly rate i.e. 20 per hour is better.Hence the correct answer is Option C.
Learn more about systems of equations at:
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Answer:
C
Step-by-step explanation:
just took the test
Write the coordinate pair (x,y) for each of the following
Fin the area of the polygons
Answer:45
Step-by-step explanation:
First, you need to calculate the area of the square.
(LxW)= 25.
Then, calculate the area of the triangle
(1/2BH)=5x(8/2)=5x4=20
Now, just add 20+25= 45
Please mark me brainliest :)
help me find the slope of the roof plss
Answer:
The slope of the roof is 2ft / 6ft = 1ft / 3ft
Step-by-step explanation:
slope = rise / run
rise is the increasing height = 2ft
run is the length = 6ft
slope = 2ft / 6ft this can be simplified to 1ft / 3ft
Has anyone took the parametric functions test part 1 for pre calculus ???? if so do you remember the answers??? offering lots of points
Answer:
No I dont, and this is only 5 pts
Step-by-step explanation:
Please help! Also please explain how you got any of the answers!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
hey dude try doing them first then ask people thry are easy also open your book and see the steps there
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 17th day of the experiment. Round to the nearest tenth (if necessary).
Answer: 339.3 grams
Work Shown:
y = 1400(1-0.08)^x
y = 1400(1-0.08)^17
y = 339.25097192703
y = 339.3
The diameter of a circle is 14 kilometers. What is the circle's area? d=14 km Use 3.14 for . square kilometers
Answer:
153.86
Step-by-step explanation:
The equation for the area of a circle is A = πr^2. The "r", in this sense, is the radius, which is half of the diameter. If the diameter is 14 then the radius is 7. The radius will then be squared to create 49, as 7 multiplied by itself is 49. The number must then be multiplied by π, or in this case, 3.14. This will give you the answer of 153.86.
Please help! 25 points
Answer:
C.
Step-by-step explanation:
can you please factorise 10fz-25z
Answer:
5z(2f - 5)
Step-by-step explanation:
What is the greatest common factor of 10 and -25? Both can be evenly divided by 5. Thus, divide both numbers by 5 and place the 5 outside of the parentheses.
(10fz - 25z) -----> 5(2fz - 5z)
Next, do the two terms share any variables? Both are multiplied by "z". Thus, you can divide each term by "z" and place it outside of the parentheses.
5(2fz - 5z) -----> 5z(2f - 5)
The terms no longer share any common factors. Therefore, your final answer is: 5z(2f - 5).
I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest
the answer is NOT 17.4
ANSWER
A. (243pi+162) ft^2
EXPLANATION
The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.
Area of major sector
[tex]=\frac{360-90}{360}[/tex] × [tex]\pi[/tex] × [tex]18^2[/tex][tex]=243\pi ft^2[/tex]
The area of the isosceles triangle is calculated using the formula;
[tex]=\frac{1}{2}r^2sin(0)[/tex]
[tex]=\frac{1}{2}[/tex] × [tex]18^2[/tex] [tex]sin(90)[/tex][tex]=162ft^2[/tex]
The area of the shaded region
[tex]=(243\pi +162)ft^2[/tex]
The correct answer is A.
find the length of the arc.Round your answer to the nearest tenth
Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
I need help please asap ! Quick answer
Answer:
I think that is the fist one.
Members of a baseball team raised $1592.50 to go to a tournament. They rented a bus for $844.50 and budgeted $68 per player for meals. Determine the number of players the team can bring to the tournament.
Answer: Assume p to be the number of players, then, the equation which describes this problem is,
844.50+ 68 p = 1592.50844.50+68p=1592.50
68 p = 74868p=748
p = 11p=11.
The number of players, the team can bring to the tournament are 11.
Step-by-step explanation:
Answer: They can bring 11 players to the tournament.
Step-by-step explanation:
$1592.50 - $844.50= $748
Divide $748 by $68, then you will get 11. And 11 will be the answer.
plsss help and explain how to do it because im confused
Giving Brainyest to the person with the correct answer
Answer:
C. 6.475 is the answer
The diameter of the center circle on a soccer field is 20 yards. What is the area of the circle?
Answer: pie × r² = 314
Step-by-step explanation:
3.14 ×10 × 10 where r is diameter/2
Multiply and show the steps on how to solve this
(2-3x) (3+8x)
Answer:
-24x² + 7x + 6
Step-by-step explanation:
(2 - 3x)(3 + 8x)6 - 9x + 16x - 24x²-24x² + 7x + 6Answer:
-24x²+7x+6
Step-by-step explanation:
Rearrange terms
Rearrange terms
(2-3x)(3+8x)
(-3x+2)(3+ 8x)
(-3x+2)(3+ 8x)
(-3x + 2)(8x + 3)
3
Distribute
(-3x+2)(8x + 3)
-3x(8x + 3) + 2(8x + 3)
4
Distribute
-3x(8x + 3) + 2(8x + 3)
-24x2-9x + 2(8x + 3)
Distribute
-24x² - 9x + 2(8x + 3)
-24x² - 9x + 16x + 6
6
Combine like terms
-24x²-9x + 16x + 6
-24x²+7x+6
Solution
-24x²+7x+6
3) Emily bought some wrapping paper for Christmas that was 2 feet long and 8 feet wide. What is the area of the wrapping paper she bought?
Answer:
16 ft
Step-by-step explanation:
lengh x width = A
2 x 8 = A
16 = A
Divide. 58)48,894
please help
Hi~!
Answer:
843
Step-by-step explanation:
We know that 58 is a even number, and so is 48,894. So we can check this by multiplying 843, which is th number I got when I divided it, and multiply that by 58, then we get 48,894.
I hope this helps!~ :)
Answer:
843
Step-by-step explanation:
In long division, first take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient. After, subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Lastly, repeat the same process.
00,843
58)48,894
- 464 ↓↓
----------------
249 ↓
- 232 ↓
----------------
174
- 174
-----------------
0
From this, we can see that 58 goes into 48,894 843 times. In other words, 48,894 ÷ 58 is 843.
hope this helps!
if tan of theta =3/4 what is sec of theta
Answer:
5/4
Step-by-step explanation:
Given :
tanθ = 3/4 = opposite/adjacentFinding the missing side :
The hypotenuse must be found√3² + 4²√255Taking the sec ratio :
secθ = hypotenuse/oppositesecθ = 5/4A particular type of bacteria splits into 2 every 30 minutes. There are 8 bacteria in the petree dish when you start your shift of looking after the culture. Write an exponential function B(t) where t is the time periods elapsed and B is the number of bacteria.
If MNPQ is a quadrilateral, what is angle MQP
Answer:
62°Step-by-step explanation:
angle M = angle Q
(An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.)
so
Angle Q = 30 + 32
Angle Q = 62°
SOMEONE HELP I DON'T UNDERSTAND :(
4) Solve for x and find the measure of angle zxy
Answer:
Angle zxy = 55 degrees, x = 12
Step-by-step explanation:
Since the angle WXY is labeled as a right angle from the square in the angle, and angle WXZ is 35 degrees, we know that angle ZXY must be 55 degrees, because 55+35 = 90. Then to solve for x, we use the measure of angle ZXY to construct the equation 4x+7 = 55. subtract 7 from both sides to get 4x = 48, then divide both sides by 4 to arrive at the answer of x = 12.
Find the surface area of a square pyramid or it’s side length 5m and. Slant height 4m
Answer:
h = height s = slant height a = side length P = perimeter of base e = lateral edge length r = a/2 V = volume L = lateral surface area B = base surface area A = total surface area
A = 72.17 m2
Step-by-step explanation:
hope this helped!
help me solve this problem please
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C
Step-by-step explanation:
Since the denominators are the same, you just need to add 3 + 1. This gives you 4, combining with the denominator, will give you 4/4, which equals 1.
The probability that mary picks a yellow marble out of a bag of marbles is 0.35. there are 500 marbles in the bag. work out how many yellow marbles there are.
Answer:
175
Step-by-step explanation:
500*.35
What is the volume of this figure?
Enter your answer in the box.
Answer:
Pls list the figure-
Step-by-step explanation:
If you dont list it we cant help you if its a cube just multiply the sides
What is square root of pi^2 = ?
Answer:
Pi
Step-by-step explanation:
The square root and exponent cancel each other out.
A wheel has a radius of 4 inches and travels as it spins. How far does the wheel travel
in one revolution? Round your answer to the nearest inch.
Use the pi (T) on the calculator.
Use formula for circumference to figure out the answer: C = 277 (or) C = ad
The distance a tire travels is equal it it’s circumference.
circumference = pi x radius x 2
Circumference = 25.13 inches
Rounded to nearest inch = 25 inches
