Answer:
in step by step
Step-by-step explanation:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Distance Problems: Given Total Time
Example:
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Solution:
Step 1: Set up a rtd table.
r
t
d
Case 1
Case 2
Step 2: Fill in the table with information given in the question.
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Let t = time to travel to town.
7 – t = time to return from town.
r
t
d
Case 1
40
t
Case 2
30
7 – t
Step 3: Fill in the values for d using the formula d = rt
r
t
d
Case 1
40
t
40t
Case 2
30
7 – t
30(7 – t)
Step 4: Since the distances traveled in both cases are the same, we get the equation:
40t = 30(7 – t)
Use distributive property
40t = 210 – 30t
Isolate variable t
40t + 30t = 210
70t = 210
210/70
Step 5: The distance traveled by John to town is
40t = 120
The distance traveled by John to go back is also 120
So, the total distance traveled by John is 240
Answer: The distance traveled by John is 240 miles.
The Equation (y-y1)=m(x-x1) represents the point-slope form of a linear equation.Which equation can be used to find y1?
y1 = m(x – x1) + y
y1 = -mx + mx1 – y
y1 = y – mx + mx1
y1 = -mx – mx1 + y
Answer:
Step-by-step explanation:
The first one
Find the exact length of the third side.
48
14
Answer:118
Step-by-step explanation:
It has to equal 180 degrees in total so 48+14=62
180-62=118
So the answer is 118
bro sombody help me i am extremly not smart
and bad at math, thank you
Answer:
sure wuts ur question? I GOT IT4 LBS
What is 4x3.14x9x9x9
Answer:
9156.24
Step-by-step explanation:
calculator
Answer:
its 9156.24
Step-by-step explanation:
(-2,1); m = 5
Find the equation of the line
find the value of x so that the ratios are equivalent 2:7 and 8:x
Answer:
x = 28
Step-by-step explanation:
Solve.
x/2 + 8 = 14
x=
if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
please help me if you don’t know the answer, please don’t answer it.
Answer:
Step-by-step explanation:
(1/2)/3 = x/4
1/6=x/4
x=4/6 = 2/3
Zanaveya was testing a toy car on a ramp to see how far it would go. When she put it a third of the way up the ramp, it went 2 feet. When she put it at the top of the ramp, it went 5 times farther. How far did the car go this time?
Answer:
The car goes 10 ft
Step-by-step explanation:
Given
[tex]Distance = 2ft[/tex]
[tex]New\ Distance = 5\ times\ farther[/tex]
Required
Determine the new distance
x times farther means x multiplied by the initial distance.
So:
5 times farther would be: 5 multiplied by the initial distance.
Hence,
[tex]New\ Distance = 5 * 2ft[/tex]
[tex]New\ Distance =10ft[/tex]
i.e. the car goes 10 ft
PLZ HELP ME QUICKKKKKKKKKKK
Answer:
i guess
Step-by-step explanation:
Explain why xyz is similar to lmz
Answer:
Because they both have 65 degree angles and are both triangles
Step-by-step explanation:
Answer:
because they have the same bottom degrees
Step-by-step explanation:
How many students voted for each
participant?
Answer:
12 people voted for Matthew and 18 people voted for Diana.
Step-by-step explanation:
1. Multiply 30 by 0.4 to get 12.
2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.
1.83 x 10^8 is how many times greater than 6.1 x 10^5?
Answer:
1.83 x 10^8 is how many times greater than 6.1 x 10^5?1.83 x 10^8 is how many times greater than 6.1 x 10^5?
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!
Answer:
B
Step-by-step explanation:
9x20=180
The solution to the system is
( , )
Answer:
x = ½
y = 3
Step-by-step explanation:
—Math0,8 –4x = –0,4y ==> –4x + 0,4y = –0,8
6x + 0,4y = 4,2 ==> 6x + 0,4y = 4,2
______________–
–10x = –5,0
x = –5/–10
x = 1/2
–4x + 0,4y = –0,8
–4(½) + 0,4y = –0,8
–2 + 0,4y = –0,8
0,4y = –0,8 + 2
y = 1,2/0,4
y = 3
x = ½
y = 3
Follow my account^^
Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.
Answer:
$2304.5
Step-by-step explanation:
The balance after 8years=P(1+R/100)^t
=1000(1+11/100)^8
=$2304.5
FINDDDD VALUE OF Z !!!!!
I can help you did you ask Siri?
Just take a picture on Siri the would lead you to the answer.
Step-by-step explanation:
I hope that helps please give me Brainliest
a2+14a+49 please help me
The volume of a cylinder of height 8 cm is 72π cm3 Find the radius of the cylinder.
Answer:
3 cm
Step-by-step explanation:
Divide the volume by the height
72π/8 = 9π
Now we have the surface area. The surface area is π[tex]r^{2}[/tex], so we reverse it.
Divide the number by π:
9π/π=9
Now we find the square root
3 x 3 is 9, so 3 is the square root and radius.
help if you can dont answer if you dont know please
Answer:
Area of the shaded region 85 square inches
Step-by-step explanation:
10(width)x8(height)=80
Triangle on the right= (8x5)/2=20
Triangle on the left=(8x5)/2=20
Both triangles' area=40
80+40=120
Not shaded area=5x7=35
120-35=85
The balance in Alex's bank account is $675. The account
earns 6% simple interest calculated twice per year. If Alex
makes no deposits or withdrawals for 2 full years, the
balance in his account (rounded to the nearest dollar) will
be -
Select one:
O
$852
$715
$837
$756
Answer:
$852
Step-by-step explanation:
From the given question, the following are given:
Present value, PV = $675
Rate, r = 6% = 0.06
Number of years, n = 2 years
Number of times per year, m = 2
The balance in his account is the future value (FV), so that;
Future value = PV[tex](1+r)^{nm}[/tex]
= 675[tex](1+0.06)^{(2*2)}[/tex]
= 675 x 1.26248
= 852.174
Future value = $852
Thus, the balance in Alex's account would be $852.
Find d²y/dx² in terms of x and y.
y^5 = x^7
d²y/dx² =????
Answer: [tex]\frac{14y}{25x^2}[/tex]
====================================================
Work Shown:
First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.
Don't forget about the chain rule.
[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]
Go back to line 3, shown above, and apply the derivative to both sides.
You'll be using the product rule.
[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:
[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]
[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]
The Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event
Answer:
Car Wash: $43.75 and Garage Sale: $87.5
Multiple Choice.
What is the solution to the square root of -75 to the nearest integer?
A 9
bB. 8
C.-8
D. -9
MAXIMUM POINTS
Answer:
I belive it is 'A' 9
Step-by-step explanation:
because the square root is 8.66025404 so that rounded to the nearest integer would be 9
AP
Solve the absolute value inequality 2|x-7/2|+4>9 algebraically. Select the correct graph of the solution.
Answer:
x < 1 or x > 6
Step-by-step explanation:
can you help me please? ( I didn't mean to pick a answer)
Answer:
#3:8n-4
Step-by-step explanation:
combine like terms
3n+n=4n
-7+5=-2
4n-2
multiply that by 2 to get the perimeter, which is 8n-4
What is the result when 3x4 + 10x3 + 14x2 + 12x + 5 is divided by x + 1?
Answer:
3x^3 + 7x^2 + 7x + 5
Step-by-step explanation:
Use long division for polynomials.
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer:
22 meters per second
Step-by-step explanation:
If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.