9514 1404 393
Answer:
2.5 miles
Step-by-step explanation:
1A. The formula that applies to time/speed/distance problems is ...
distance = speed × time
The units of the numbers involved need to be compatible, which is to say the speed units need to be the ratio of distance units to time units.
The other applicable relationship is that the resultant speed in a body of water is the sum of the boat speed and the water speed. When they are in the same direction, the speeds add; when they are in the opposite direction, the net speed is their difference.
__
1B, C. Since Tom is traveling upstream, his net speed is the difference between his paddling speed (8 mph) and the current (3 mph). That is, he makes headway upstream at the rate of 8-3=5 mph. This difference is the "speed" in the formula.
Note that the time is given in minutes, but the units of speed have time units of hours. It is easiest in this problem to translate the time in minutes to a time in hours. (30 min = 1/2 h) This is the "time" in the formula.
We can "let 'distance' represent the distance we're being asked to find in the problem statement."
__
1D. Using the formula, we find ...
distance = (5 mi/h)(1/2 h)
This is the "formula" equation of part A with speed and time values filled in.
The solution to the equation is simply a matter of performing the indicated arithmetic.
distance = 2.5 mi
Tom would travel 2.5 miles in 30 minutes.
_____
Additional comment
You may see the above formula written a number of ways. Using single-letter variables, it is often written as ...
d = rt
where d represents distance, r represents speed, and t represents time. By using whole words for the variable names, I find less explanation is necessary.
By using units along with the numbers in the formula, the units of the answer "fall out". If they don't, then there has been a mistake. For example, if you use 30 minutes instead of 1/2 hour, your answer would be ...
(5 mi/h)(30 min) = 150 mi·min/h
These units are not distance units, so you know a mistake has been made. (The units multiply and/or cancel the same as any variable(s).)
Answer:
1. Tom's paddles his kayak at a rate of 8 mph in still water. If Tom is traveling upstream in a river with a current of 3 mph, how far would Tom travel in 30 minutes?
Cherylis making candy bags for her friends. She has a bag of candy that has 20 pieces and a bag of candy that has 15 pieces. If she is making candy bags for 5 friends, how many pieces of candy, c, will each friend receive?
Answer:
Each friend will receive 7 candies.
Step-by-step explanation:
Given that:
Number of candies in one bag = 20 pieces
Number of candies in other bag = 15 pieces
Total number of candies = 20 + 15 = 35 pieces
Number of friends = 5
Let,
c be the number of candies each friend will receive.
5c = 35
Dividing both sides by 5
[tex]\frac{5c}{5}=\frac{35}{5}[/tex]
c = 7
Hence,
Each friend will receive 7 candies.
Jessica's annual salary decreased by 3800, which was a 9% decrease. what was Jessica's original salary?
Answer:
Step-by-step explanation:
x = original salary
$3800 = (1-9%)x = (1-0.09)x = 0.91x
x = $3800/0.91 = $4175.82
The original annual salary of Jessica is 42222
Let the original annual salary of Jessica be represented by x.
Percentage decrease in salary = 9%
Amount of the decrease = 3800
Therefore, based on the information given, the equation to solve the question will be:
9% × x = 3800
0.09 × x = 3800
0.09x = 3800
Divide both side by 0.09
0.09x/0.09 = 3800/0.09
x = 42222
Therefore, the original annual salary of Jessica is 42222.
Read related link on:
https://brainly.com/question/19063587
Please help! No one literally ever answers me so please I'm begging ya'll!
Write the coordinates of the vertices after a translation 1 unit left and 7 units down.
R(-8, 2) → R′( , )
S(1, 2) → S′( , )
T(-7, 9) → T′( , )
Answer:
Simply subtract 1 from each x value and subtract 7 from each y value
Step-by-step explanation:
R'=(-9,-5)
s'=(0,-5)
T'=(-8,2)
Translate the follow expression (use x as variable)
13 more than one-third of x
Answer:
1/3x + 13
Step-by-step explanation:
one-third of x is 1 divided by 3 times x. 13 more means plus 13.
help me in math pls :(
Answer:
V = 36
Step-by-step explanation:
Given
V = a(b - 5)² ← substitute a = 4, b = 8
V = 4(8 - 5)² = 4(3)² = 4 × 9 = 36
What is the value of x
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
_____
It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.
Andrew withdrew $332.55 from his savings account. He now has at most $529.71. How Much cash did he originally have?
Penelope and Nancy see who can read the fastest to determine who will buy snacks for their sleepover. Penelope gives Nancy a 10 second head start. Nancy goes at 7 words per second and Penelope goes at 9 words per second.
What would the slope intercept equation be to rep. Penelope?
Make an equation, with variables on both sides, that shows how long it would take for them to be tied in their competition.
Answer:
for Penelope: y = 9x - 10
5 seconds they will both have read 35 words
Step-by-step explanation:
for Nancy: y = 7x
to find how long to be tied:
7x = 9x - 10
-2x = -10
x = 5
Which mapping is a function?
Answer:
Domain and Range diagram
A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 mg/L of the material present and after 2 hours it is observed that the material has lost 10 percent of its original concentration, find (a) an expression for the concentration of the material remaining at any time.
Answer:
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Step-by-step explanation:
A certain radioactive material is known to decay at a rate proportional to the amount present.
This means that the situation can be described by the following differential equation:
[tex]\frac{dQ}{dt} = -rQ[/tex]
In which r is the decay rate.
Solving the differential equation by separation of variables, we have that:
[tex]\frac{dQ}{Q} = -r dt[/tex]
Integrating both sides:
[tex]\ln{Q} = -rt + K[/tex]
In which K is the integrative constant.
Applying the exponential to both sides, to remove the ln, we get:
[tex]Q(t) = Ke^{-rt}[/tex]
In which K is the initial amount present.
Initially there is 50 mg/L
This means that [tex]K = 50[/tex].
After 2 hours it is observed that the material has lost 10 percent of its original concentration
This means that [tex]Q(2) = 0.9K[/tex]. So
[tex]0.9K = Ke^{-2r}[/tex]
[tex]e^{-2r} = 0.9[/tex]
[tex]\ln{e^{-2r}} = \ln{0.9}[/tex]
[tex]-2r = \ln{0.9}[/tex]
[tex]r = -\frac{\ln{0.9}}{2}[/tex]
[tex]r = 0.0527[/tex]
So
[tex]Q(t) = Ke^{-rt}[/tex]
[tex]Q(t) = 50e^{-0.0527t}[/tex]
The radius of a circle is 17 m. Find its circumference in terms of 
Pi
Answer:
C≈106.81m
radius= 17m
Step-by-step explanation:
Our swimming pool is 3 times as long as it is wide. If the perimeter of our pool is 48 feet, what is its width and length? Let w=width.
Answer:
width= 4 ft
length= 12 ft
Step-by-step explanation:
? x 3= ?
4 x 3= 12
12 x 4= 48
On a surface you have 200,000 bacteria
You use Clorox, which kills 99.9% of germs
How many germs are left? (MATH QUESTION)
Answer:
200
Step-by-step explanation:
3/4 + 2/8 =
I need help
Answer:
1
Step-by-step explanation:
3/4 + 2/8 =
First you need to find a common denominator, and in this case, it can be 4
2/8 = 1/4 ( i divided the numerator and denominator by 2)
3/4 + 1/4 = 4/4 = 1
Check
4/4 - 3/4 = 1/4
4/4 - 1/4 = 3/4
Correct!
Hope this helped!
Have a supercalifragilisticexpialidocious day!
If y varies directly as the square of x and Y = -54 when x = 9, then Y = -1
when x = 6
3
Please select the best answer from the choices provided
True
False
Answer: false
Step-by-step explanation:
i just took the quiz and made a 60 so pls don’t be like me and fail it ;-;
Hi! what's The GCF of 10a-25+5b ? thank you! <3
Answer:
GCF = 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: try using a site called math, way for questions like this, hope it helps :)
11 Joel says, "For x 20, the expression
[tex]( \sqrt[7]{ {x}^{2} })( \sqrt[5]{ {x}^{3} } [/tex]
equivalent to
[tex]( \sqrt[35]{ {x}^{6} } [/tex]
is he correct? Justify your response algebraically.
Answer:
no justified
Step-by-step explanation:
-5x – y = 8 and 5x – 3y = -16 solve by elimination
please help show work don't care if right just some what similar i already have the answer just need work
Step-by-step explanation:
-5x and 5x get eliminated.
-y=8
-3y=-16
-4y=-8
y=2
Simplify
[4 (2+3)]? – 5 (30 – 10)
Answer:
-80 (showed below)
Step-by-step explanation:
given: [4 (2+3)]? – 5 (30 – 10)
brackets: 4 (5)]? – 5 (20)
mutiply: 20 - 100
= -80
If a woman making $37,000 a year receives a cost-of-living increase of 2.4%, what will her new salary be?
Answer: $37,888
Step-by-step explanation:
2.4% of 37,000 is 888.
37,000 + 888 = 37,888.
=$37,888
Her new salary will be $37,888.
What is cost-of-living?
“Cost of living” exists as the amount of money you require to sustain a certain lifestyle in a disseminated place. Because the price of goods and services differs from one city to the next, calculating the cost of living will determine how reasonable it exists to live in a certain area.
increased cost of living would be :
2.4% of 37,000 = 2.4/100 X 37,000 = 888
therefore, new salary would be :
37,000 + 888 = 37,888.
To learn more about cost-of-living refer to:
https://brainly.com/question/27465036
#SPJ2
Help me with my math homework please.
Answer:
look around the bottom of the page and if it has something like a brand or company whatever write it down in the search and then write the title of the paper and look for pdfs
Tell me the least integer in the pair down below
1) -3 or +5
Please do this quick and tell me why is that the answer for extra points. Please help me due in 5 minutes please do it correct with steps or telling me how u got the answer Pleaseeeee do this quick
Answer:
The smallest integer in the pair is -3
Step-by-step explanation:
One way to figure this out is by looking at if it is positive or negative. In this case, -3 has a negative sign, so it is smaller
Therefore, it is -3
Hope this helps :)
What is 2/3 divided by 1/6
Answer:
the answer is 4!
Hope it helps
An arithmetic series is represented by the equation S24 = 2-6+058. Which of the following is true?
Will name Brainlyest
Answer:C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
Step-by-step explanation:
The given series is .
To find the first term of this series, we substitute k=1 to obtain:
To find the 24th term of the series, we put k=24 to get:
The value of the series is the sum of all the terms in the series.
We can find the value of the series using the formula:
.
In this case, the last term is .
.
.
.
Now let us analyse the options:
A. The value of the series is greater than the value of the 24th number in the series.
False: because 6 is not greater than 6.
B. The value of the series is between the values of the 1st and 24th numbers in the series.
False: because 6 is not between -5.5 and 6
C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true
D. The value of the series is less than the value of the 1st number in the series.
False: because 6 is not less than -5.5
Step-by-step explanation:
Find the next 3 terms of the geometric sequence. Put commas between each number but no spaces Ex: 1,2,3. 5, 10, 20, 40, ... *
Answer:
80, 160, 320
Step-by-step explanation:
You can see that each time you multiply the previous number by 2.
Answer:
Step-by-step explanation:
for the sequence 5,10,20,40,
the next three terms are 80,160,320
Given Rectangle RECT. If angle REA= (2y+7) degrees and angle CEA = (3y-2) degrees, determine each of the following:
a) the value of y
b) the measure of angle RTA
Answer:
a) y=17
b) m<RTA=49°
Step-by-step explanation:
3y-2+2y+7=90
5y+5=90
5y=85
y=17
m<RTA = m<CEA = 3(17)-2=49
this a correlation type of questions it looks so confusing
equivalent this problem -3(4 – 2g) – 6?
Answer:
-12 + 6g - 6
Step-by-step explanation:
What should be done first to simplify 16 ÷ 8 • 4 ÷ 8 • 2 HELP!!!!!
divide 4 ÷ 8
multiply 8 • 4
divide 16 ÷ 8
multiply 8 • 2
Refer to the following formula for expected payoff:
Expected payoff= (Probability Of rival matching x Loss from price cut) + (Probability Of rival not matching x Gain from price cut)
Suppose the payoff for each Of four strategic interactions is as follows:
Rival Response
Your Company Action Reduce price Don't Reduce price
Reduce Price Loss=$800 Gain= $50,000
Don't Reduce Price Loss=$6000 No loss or gain
Required:
a. If the probability of rivals matching a price reduction is 98 percent, what is the expected payoff of a price cut?
b. If the probability of rivals reducing price even though you don't is 5 percent, what is the expected payoff Of not reducing price?
b. If the probability of rivals reducing price even though you don't is 5 percent, what is the expected payoff of not reducing price?
c. Based on your answers to (a) and (b), should the firm Cut its price?
Can't determine from the information given
Yes
No
Answer:
Step-by-step explanation:
From the given information:
The price reduction = 98% = 0.98
[tex]Then \ the \ expected \ payoff \ = \[(probability \ of \ matching \ price \ reduction \ * \ size \ of \ loss \ from \ price \ cuts \ ) \ + \ ( \ probability \ o f \ rivals\ not \ matching \ * \ gain \ from \ price \ cuts )][/tex]
where;
P(rival not matching ) = (100 - 98)% = 2%
P(rival not matching ) = 0.02
The expected payoff = [(0.98 * -800) + (0.02*50000)]
The expected payoff = [( -784+ 1000)]
The expected payoff = 216
(b) Probability of rivals reducing price = 5%
= 5/100
= 0.05
∴
Probability of rivals reducing price = 1 - 0.05 = 0.95
The expected payoff = (0.05 * -6000) + (0.95 *0)
The expected payoff = -300 + 0
The expected payoff = -300
(c) Yes.
Based on answers (a) and (b), the firm should cut the price.
