A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
Given matrices A and B shown below, find (−4)A+(−9)B.
see the answer in the attached picture.
Reading Readiness, Inc. has provided you its list of accounts and balances as of January 31. The Controller has asked you to prepare an Income Statement for the month ended January 31. Use the information included in the Excel Simulation and the Excel functions described below to complete the task.
The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:
Reading Readiness, Inc.
Income Statement
For the month ended January 31
Sales Revenue $175,500
Less:
Sales Returns 4,700
Sales Discounts 6,000
Net Sales $164,800
Cost of Goods Sold 67,700
Gross profit $97,100
Expenses:
Salaries and Wages $25,900
Depreciation Expense 13,800
Rent Expense 24,000
Operating expenses $63,700
Operating income $33,400
Interest Expense 1,600
Income before tax $31,800
Income tax expense 7,700
Net income $24,100
Data and Calculation:
Gross profit percentage = 59% ($97,100/$164,800 x 100)
Thus, the net income after deducting the income tax expense is $24,100.
Learn more: https://brainly.com/question/24257787
A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000
Answer:
-$500
Step-by-step explanation:
C = 3(1000) + 6500
C = 3000 + 6500
C = 9500
R = 9(1000)
R = 9000
P = 9000 - 9500
P = -500
People attended the State Fair at a rate of 42 people per minute. How many hours would it take for there to be 15,000 people at the Fair (first find how many minutes it will take)?
Step-by-step explanation:
42 people per minute
how many minutes for 15000 people ?
well, how often does 42 fit into 15000 ?
15000/42 = 357.1428571... minutes
and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.
so, we have 358 minutes.
and that is in hours, as 1 hour = 60 minutes
358/60 = 5.9... hours
so, the rounded answer is 6 hours.
draw a relation diagram for the function f:x= 2(3x-1) where x€{1,2,3,4,5}
Answer:
f:x=1
Step-by-step explanation:
6x-1=5
6x/6=6/6
f:x=1
Determine whether the function is continuous or discontinuous.
Answer:
it is continues
Step-by-step explanation:
it is continues
What is the largest multiple of 9 whose negation is greater than -100?
Answer:
99
Step-by-step explanation:
Its negation is greater than -100. Hope this helps!
~Just a joyful teen
[tex]SilentNature[/tex]
Answer:
99
Step-by-step explanation:
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
Answer: 80 minutes
Step-by-step explanation:in the picture
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answer:
a sign
Step-by-step explanation:
Principal: 300
Annual Rate: 3%
Time: 4 Years
Interest Earned: ?????
New Balance: ?????
!!!!!SOMEONE PLEASE HELP ME FIGURE OUT INTEREST EARNED AND NEW BALANCE!!!!
Answer:
Step-by-step explanation:
HI there!
From the question;
Principal (p) = 300
Annual rate (r) = 3%
Time (t) = 4 yrs
Now;
Interest (I) = [tex]\frac{p*t*r}{100}[/tex]
I = [tex]\frac{300*4*3}{100}[/tex]
I = [tex]\frac{3600}{100}[/tex]
Therefore the interest earned is 36.
Again;
New balance (A) = principal + interest
= 300+36
Therefore, the new balance is 336.
Hope it helps!
4/8 x 4/8 i dont care if you answer want to be fwen :)
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
4/8×4/8
16/64
Help me with this please
Answer:
178 maybe tell its right or wronv
Antony spends £244 on a plane ticket and €110 on airport tax. Using £1 = €1.12, what percentage of the total cost does Antony spend on airport tax? Give your answer rounded to 1 dp.
Enter the values of x, y, and z. The diagram is not to scale.
Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
Help I’ll give BRAINLIEST
Step-by-step explanation:
Let's rewrite the original equation as
[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]
or in standard form, our equation becomes
[tex]2x - y = -8[/tex]
where A = 2, B = -1 and C = -8
calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
Answer:
41550
Step-by-step explanation:
Write the equation 5x+y=0 in in slope-intercept form.
Answer:
y = -5x
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
5x+y = 0
Subtract 5x from each side
5x+y-5x= 0-5x
y = -5x
To raise funds for uniforms and travel expenses, the soccer team is holding
a car wash in a part of town with a lot of car and truck traffic. The team
spent $90 on supplies like sponges and soap. They plan to charge $10 per
car and $20 per truck. Their goal is to raise $460.
Question: how many cars do they have to wash if they washed t trucks??
9514 1404 393
Answer:
55 -2t cars
Step-by-step explanation:
The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...
460 = 10c +20t -90 . . . profit equation
550 = 10c +20t . . . . . . . add 90
550 -20t = 10c . . . . . . . subtract 20t
c = 55 -2t . . . . . . . . . . . divide by 10
They have to wash 55-2t cars if they washed t trucks.
Find x and y intercept 5x + 4y = 8
Answer:
(8/5, 0)
Step-by-step explanation:
5x - 4(0) = 8
5x = 8
x = 8/5
A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
(137.75 - 15.25)/24.5=x
122.5/24/5=x
5=x
x= number of friends who can go to the amusement park
Step-by-step explanation:
137.75 is the total amount of money.
First, we need to subtract 15.25 because this money is going to be spent on parking.
Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.
Hope this helped!
By solving a linear equation we will see that 5 people can go to the amusement park.
How to write the linear equation?We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:
$137.75 - $15.25 = $122.50
Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:
y = $122.50 - $24.50*x
To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).
$0 = $122.50 - $24.50*x
$24.50*x = $122.50
x = $122.50/$24.50 = 5
So with that amount of money, 5 people can go to the amusement park.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answer:
29in
pls give brainliest tq
have a great day
What is the slope of the line represented by the equation y = -2/3- 5
-2/3
slope can also be classified as m in y=mx+b
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-\frac{2}{3}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that the equation is: [tex]y = -\frac{2}{3}x-5[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx+ b\\\rule{150}{0.5}\\\text{m - Slope}\\\text{b - Y-Intercept}\\\rule{150}{0.5}[/tex]
Since [tex]-\frac{2}{3}[/tex] take's m's spot, it is the slope of the equation.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
HELP SOMEBODY PLEASE I NEED IT NOW HURRY!!!
Answer:
Rational square root
√144 - 12
√400 - 20
√ 100 - 10
√ 81 - 9
√ 169 - 13
irrational square root
√ 190 - 13 & 14
√ 250 - 15 & 16
√ 120 - 10 & 11
√ 160 - 12& 13
√ 320 - 17 & 18
The question is attached on the picture
thank you...
Which of the following rational algebraic equation is transformable to a quadratic equation?
Answer:
Option AStep-by-step explanation:
Possible options are A and B as the other two have no variables in their denominators and the numerators are of degree 1.
Now, option A, it has two different denominators involving the variable s. If you multiply all the terms by the product of the two 8s(s + 2), then you get a quadratic equation.
The option B. If you perform same operation, multiply all the terms by m(m + 1) this will result in degree 3 polynomial, which is a cubic equation but not the quadratic.
So the only option is A
can anyone help me with question b
Answer:
nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.
Step-by-step explanation:
Which property of multiplication is shown? 3 * (5 * 7) = (3 * 5) * 7
Answer:
the associative property
Answer:
It is the associative property of multiplication
Step-by-step explanation:
It is generally expressed as
(ab)c=a(bc)
3*(5*7)=(3*5)*7
105=105
How do you close a revenue account?
A)
Credit Capital; debit Revenue
B)
Debit Capital; credit Revenue
C)
Debit Income Summary; credit Revenue
D)
Credit Income Summary; debit Revenue
Answer:
D)
Credit Income Summary; debit Revenue
eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help
Answer:
200
Step-by-step explanation:
dude ur in college how do you not know this?