Answer:
Distance-Rate-Time and other Products
In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.
Distance = (Rate)(Time)
The equation that relates distance, rate, and time is
d = rt
Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
9 miles
Example 2
Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?
Solution
The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:
r = 15
Next, 24 miles is a distance. We have:
d = 24
Now use the d=rt equation to get
24 = 15t
To solve this, divide both sides by 15 to get
t = 24/15
Both are divisible by 3, so this fraction reduces to
t = 8/5 = 1.6
Elena's ride takes 1.6 hours.
An equation that crosses the Y axis at -5 and crosses the X axis at five
Answer:
y = x - 5
Step-by-step explanation:
Slope-intercept formula:
y = mx + bThe value of b already given, it is -5, so
y = mx - 5Points as per description:
(0, -5) and (5, 0)The slope is:
m= (y2 - y1)/(x2 - x1) = (0+5)/(5-0) = 1Then we get the formula:
y = x - 5how are intergers used to represent real world situations.
Answer:
Integers are always whole values such as 4, 10, or 58. They can represent something that can't be partial. (hope this was what you were looking for!)
y= 2x2 – 9x + 8
Deter sin the number of solutions for quadratic equation
Well if it is a quadratic equation, then it has 2 solutions
Do you need the solutions or just the number of solutions?
Solve the equation below for h v=πr^2h
Answer:
The answer is
[tex]h = \frac{v}{πr²} [/tex]Step-by-step explanation:
v = πr²h
To solve for h divide both sides by πr²
That's
[tex] \frac{v}{πr²} = \frac{πr²h}{πr²} [/tex]We have the final answer as
[tex]h = \frac{v}{πr²} [/tex]Hope this helps you
Answer: h=0hr/2−3.141593r2+v
Step-by-step explanation:Hope this help
+ 2
5. Which of the following has the same
value as -10 +-3?
A-13
B-7
C13
Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write
Answer:
-6
Step-by-step explanation:
Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.
pls help on this it must be answerd quickly or i will not be able to go on the my dads boat on sunday, so pls pls answer quickly
Answer:
Step-by-step explanation:
I love boats
Glr to precisando muito da ajuda de alguém com isso aqui, pfv
Answer:11
Step-by-step explanation:
It is roughly 8100 miles to fly from California to Australia. If it takes the plane 15 hours to reach its destination, how fast was the plane flying in feet per hour? (1mile = 5280 feet)
How many miles did the plane fly in one hour?
Answer:
Answer is 540 mph (miles per hour)
Step-by-step explanation:
by diving 8100 by 15, you get a quotient of 540
find the product of 3 1/5 and 7 1/4. Express your answer in simplest form
10 and 9 over 20 is the correct solution
Solve for x: 1-2(x+1) = x+6
Answer:
Exact Form: x= - 7/3
Hope this helped! If you ever need anymore help feel free to ask. :)
Kylie is shopping for Christmas presents for her friends. Her budget is $100 this year. She wants to buy $15 gift cards per friend, plus the $10 she spent on regular cards total. How many gift cards can she buy?
Answer: 6
Step-by-step explanation: If you subtract 10 from 100, you get 90, which is the total amount she can spend on gift cards. Divide 90 by 15, and you get 6.
What is 10+4(-8q-4) simplified into an equation
Answer:
-32-6
Step-by-step explanation:
this is your answer
what is the value of (10 - 6) over 2 + 6 times 2 - ( 3 + 2) over 2
Answer:
-.25 or - 1/4
Step-by-step explanation:
Find the value of x.
42°
130°
75°
Answer:
wdym
Step-by-step explanation:
Cami and Joe each began saving money for a
new computer. Cami saves $5 per week plus $50
she receives for her birthday. Joe saves $7 per
week. After how many weeks will they have the
same amount of money saved?
Answer:
twelve weeks
Step-by-step explanation:
(5x-2)^2 help asap pleaseee
Answer:
25x² − 20x + 4
Explanation:
(5x − 2)²
= (5x + −2)(5x + −2)
= (5x)(5x) + (5x)(−2) + (−2)(5x) + (−2)(−2)
= 25x² − 10x − 10x + 4
= 25x² − 20x + 4
what is quotient of 6,484÷24
Answer:
270.16 repeated (only the 6 repeats there is only one 1)
Step-by-step explanation:
Answer: 6,484÷24=270 R 4
what is the domain of the set (-3,5), (2,0), (7,-5)
The domain is all x-values.
The domain is -3, 2, 7
The range is all y-values
The range is 5, 0, -5
Best of Luck!
The figure below is a rectangle. What is the value of x?
Answer:
1.8
Step-by-step explanation:
[tex]2x + 10 = 12x + - 8 \\ 10x = 18 \\ x = 1.8 \\ [/tex]
Answer:
1.8
Step-by-step explanation:
12x-8=2(x+5)
12x-8=2x+10
10x=18
x=1.8
1
Robert has a piece of string that is 62 cm long. He cuts off 39 cm of the string.
How long is the string that is left?
Answer:
23cm
Step-by-step explanation:
62-39=23cm
2 (3x + 6) = 3 (x - 10)
Answer:
x= -14
Step-by-step explanation:
the perimeter of a square can be found using P = n + n + n + n, where n is the length of one side of the square. Which equation could also be used to find the perimeter of a square
Answer:
P = 4n
Step-by-step explanation:
P = n + n + n + n
If you combine all the like terms you end up with:
P = 4n
The equation to find the perimeter of a square can also be expressed as 4n, where n is the side.
What is Square?A square is a two dimensional figure which has four vertices, four sides and four angles.
Perimeter of a geometrical figure is the sum of the lengths of the boundary of shape.
Given that n is the length of one side of a square.
Perimeter is the sum of the side lengths.
Since a square has four sides,
Perimeter = 4 times the length of side
= 4n
Hence the perimeter of a square can also be expressed as 4n.
Learn more about Square here :
https://brainly.com/question/28776767
#SPJ2
helppp math sucksss
Answer:
H can't be a function.
Step-by-step explanation:
If x has more than one y then it doesn't pass the vertical line test and is not a function.
I forgot how to do these questions
HELPPPPPP
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Use the Circumference of a Circle Formula:
C = 2πr
or
C = (Diameter)*π (since diameter = 2*radius)
In this case, the diameter is 44 miles
So the circumference is:
C = 44*π = 138.23 miles
1 sack of flour contains 21 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour?
Answer:
14 batches
Step-by-step explanation:
If 1 sack of flour = 21 cups, and 1 batch of cookies need 3 cups, all you have to do is find out how many batches can be made with 1 sack and double the number:
3 × _ = 21
21 ÷ 3 = 7
7 × 2 = 14
You can make 14 batches of cookies with 2 sacks of flour.
Hope this helped.
simplify the following expressions using distributive property of multiplication 4(3x-1)
Answer:
multiplication 4(3x-1)
12x-4
Please help ! Easy 7th grade work ! I’ll give brainliest
Answer:
for the first one... 24
Step-by-step explanation:
im in 7th grade pls mark brainliest <3
Answer: i need to find my dad please help his name is candice
Step-by-step explanation:
If Sara had 5 apples and she ate 3 how many would Sara have?
Answer:
2
Step-by-step explanation:
5-3=2
Answer:
Sara would have 2 apples left
Step-by-step explanation:
5-3=2
