Answers
Answer:
18 people.
Step-by-step explanation:
thirty percent of 60 is 18
Related Questions
. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located
Answers
Answer:
The point P should be located at 0,51 Km from point B, to minimize costs
Step-by-step explanation:
The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:
Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L
where L is the hypothenuse of the right triangle ( A , B , P )
Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²
C (x) = 400000* ( 6 - x ) + 800000* √4 + x²
C(x) = 2400000 - 400000*x + 800000* √4 + x²
Tacking derivatives on both sides of the equation
C´(x) = - 400000 + 800000* ( 2x)/√4 + x²
C´(x) = 0 - 400000 + 1600000*x / √4 + x² = 0
- 400000* (√4 + x² ) + 1600000*x = 0
- (√4 + x² ) + 4* x = 0
- (√4 + x² ) = - 4*x
Squaring both sides
4 + x² = 16*x²
15*x² = 4
x² = 4/ 15
x = ± √0,27
x = ± 0,51
We should dismiss the negative solution
x = 0,51 Km
The point P should be located at 0,51 Km from point B
$410 is invested in an account earning 4.2% interest (APR), compound quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answers
HELP GIVING 20 POINTS
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?
Answers
Answer:
The total cost as $96
Step-by-step explanation:
To find the total amount find the tax amount and the tip amount
75 * 8% = 6
75 * 20% = 15
add 6 and 15 to 75 to get 96
Answer:
ok
Step-by-step
ok
if x=49 and y=160 then what is the value of z?
Answers
9514 1404 393
Answer:
z = 62°
Step-by-step explanation:
You know that ...
x = (1/2)(y -z)
So ...
2x = y - z
z = y - 2x = 160 -2(49)
z = 62 . . . . degrees
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answers
Answer:
r = 19.0
s = 17.7
Step-by-step explanation:
In the given right triangle ABC,
Measure of Hypotenuse (AC) = 26
m(∠CAB) = 43°
By applying sine rule in the given triangle,
sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]
sin(43)° = [tex]\frac{s}{26}[/tex]
s = 26[sin(43)°]
s = 17.73
s ≈ 17.7
Similarly, by applying cosine rule in the given triangle,
cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]
= [tex]\frac{r}{26}[/tex]
r = 26[cos(43)°]
r = 19.02
r ≈`19.0
2(x+50)=16+4x
What is x?
Answers
-2x. -2x
100=16+2x
-16. -16
84=2x
divide both sides
x=42
Answer:
x=42
Step-by-step explanation:
Write the equation.
2(x+50)=16+4x
Spread the parentheses
2x+100=16+4x
Put variables on one side, numbers on the other.
2x-4x=16-100
Add/subtract/multiply/divide the variables with variables and numbers with numbers.
-2x=-84
Make x alone
-x=-42
Flip sides to make x positive
42=x
Someone please answer this
Answers
Answer:
8 m is the answer.
Step-by-step explanation:
a = ?
b (Brennan and Hannah) = 6 m
c (Jayce and Hannah) = 10 m
According to the Pythagoras theorem,
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = 8 m
∴ Jayce and Brennan are 8 m apart.
The probability of event A is 0.42, and the probability of event B is 0.39. If A and B are independent events, what is P(A and B)?
Answers
Answer:
0.1638
Step-by-step explanation:
P(A and B) or simply the probability of both events happening is the product of their individual probabilities.
P(A and B)= (0.42×0.39)= 0.1638
The perimeter of an isosceles triangle is 45 feet. The length of the shortest side is 11 feet. Find the length of the other two sides (in feet)
Answers
9514 1404 393
Answer:
17 feet
Step-by-step explanation:
The sum of the three side lengths is the perimeter.
s + s + 11 = 45
2s = 34 . . . . . . subtract 11
s = 17 . . . . . . . . divide by 2
Each of the other two sides is 17 feet.
. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS
Answers
Answer:
-36 ÷ -3
Step-by-step explanation:
Change in her school lunch account balance per lunch = -3
Total change in her school lunch balance last month = -36
Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch
= -36 ÷ -3
= -36/-3
= 12 times
Elena bought lunch 12 times last month
Anyone know how to do this people are answering the question but aren’t choosing two anwsers
Answers
Answer:
Option B and Option D are the two answers
Do you think the answer is A, B, C, or D.
Answers
Answer:
its A i guess
Plsss help mark brainlist
Answers
Answer:
17
Step-by-step explanation:
34 / 2 = 17
What is the are of the triangle?
Answers
Answer:
48 units²
Step-by-step explanation:
Area=1/2 box=hight
area=1/2×12×8
area=48
hope it helps
have a great day
Answer:
48
Step-by-step explanation:
Find the value of x in each figure
Answers
Answer:
Value of variable 'x' is 18.
Step-by-step explanation:
From the picture attached,
In right triangle XYZ,
m(∠YXZ) = (3x + 11)°
m(∠XYZ) = 90°
m(∠XZY) = 25°
By applying triangle sum theorem in the given triangle,
m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°
(3x + 11)° + (25)° + (90)° = 180°
3x + 126 = 180
3x = 54
x = 18
Therefore, value of variable 'x' is 18.
Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes
Answers
Answer:
85
Step-by-step explanation:
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answers
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24
(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23
Answers
-10 -10
—————
x= 3
Answer is: 2) 3
Answer:
x=3
Step-by-step explanation:
x+10=13
x=13-10
x=3
please help im stuck on this
Answers
Answer:
Slope = -8/5
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs given in the graph: (-1, 4) and (4, -4).
m = -4 - 4 / 4 - - 1
m = -8 / 5
m = -8/5
m = rise/run, meaning verticl units/horizontal units
Check your work by counting it out on the graph:
From the first black dot at (-1, 4), count 8 units down and then 5 units to the right. After counting, I ended at the second ordered pair at (4, -4) which means my slope is correct.
Helppp plssssssssssss
Answers
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
) What is the absolute value |-5 l
Answers
Answer: 5
Step-by-step explanation:
Please you guys I need help!!!! I'll mark branliest !!!!
1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X. What is the value of X and what are the measures of angles A,B, and C?
2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?
Answers
2.) X is 30.7 and Z is 98
Look at the uploaded pictures for work.
y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98
Answers
Answer:
98/7=14
14*2=28
y=28
Step-by-step explanation:
someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING
Answers
Answer:
a) 8 m
Step-by-step explanation:
a) all sides of a square are equal - there's 4 sides.
4x = 32m
x = 32/4
x = 8 m
i like ur toga pfp besty :)
jack surveyed students at his school about whether they use computers or cell phones more. He found that of the 74 seventh-graders he surveyed, 53 said they used their cell phones more. In the 8th grade, 59 students used their cell phone more, compared to 38 who used their computer more. What number should be placed in the orange box below?
Answers
Answer:
Number of student of 7th grade using computer = 21
Total number of 8th grader student surveyed = 97
Step-by-step explanation:
The complete question is attached herewith
Solution
As we can see in the table
Total number of 7th grader student = 74
Out of these 74 student, 53 use cell phone
Hence, the number of student of 7th grade using computer = 74-53 = 21
Like wise, total number of 8th grader student surveyed = 59 +38 = 97
what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?
Answers
Answer:
70/100= 0.7= 70%
70%
4n = 2n+6 I really need help
Answers
if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?
Answers
Answer:
4,500 cubic units
Step-by-step explanation:
Answer:
4,500 cubic units
Have a good day.
Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14
Answers
Answer:
no solution
Step-by-step explanation:
Find the missing side length, 28,25 and x
Answers
Answer:
x
Step-by-step explanation: