Answer:
- The car's rate in kilometers per hour is 108 kilometers per hour
- The car will travel 540 kilometers in 5 hours
Step-by-step explanation:
Here is the complete question:
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not round your answers.
Step-by-step explanation:
To determine the car's rate in kilometers per hour, we will convert 30 meters per second to kilometer per hour.1000 meters = 1 kilometer
∴ 1 meter = 0.001 kilometer
3600 seconds = 1 hour
∴ 1 second = 1/3600 hour
Therefore,
[tex]30 meters/ second[/tex] = [tex]\frac{30 \times 0.001 kilometer}{1/3600 hour}[/tex]
= [tex]\frac{30 \times 0.001 \times 3600 kilometers}{1 hour}[/tex]
= 108 kilometers / hour
Hence, the car's rate in kilometers per hour is 108 kilometers per hour.
To determine how many kilometers the car will travel in 5 hours, that is we are to determine the distance covered by the car in 5 hours.From the formula
Speed = Distance / Time
∴ Distance = Speed × Time
(NOTE: Speed is also known as rate)
Speed (Rate) = 108 kilometers / hour
Time = 5 hours
∴ Distance = Speed × Time gives
Distance = 108 × 5
Distance = 540 kilometers
Hence, the car will travel 540 kilometers in 5 hours.
A bowl with 2 cups of flour in it weighs 405 grams. When it has 5 cups of flour in it, it weighs 765 grams. How much does the bowl weigh by itself?
Answer:
im think the bowl weighs 49.5 grams by itself
Step-by-step explanation:
405/2= 202.5
765/5=153
202.5-153=49.5
9514 1404 393
Answer:
165 grams
Step-by-step explanation:
We can write an equation for the total weight (y) as a function of the number of cups of flour (x). The y-intercept of that equation will be the weight of the bowl.
The two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The two points we are given are (2, 405) and (5, 765).
y = (765 -405)/(5 -2)(x -2) +405
y = 360/3(x -2) +405 . . . . simplify a bit
y = 120x -240 +405 . . . . . eliminate parentheses
y = 120x +165 . . . . . . . . . . combine terms
The bowl by itself weighs 165 grams.
__
Each cup of flour weighs 120 grams.
y=-x
y=-7x
solve system of equations algebraically
Answer:
(x,y) = (0,0)
Step-by-step explanation:
Let both as equation (1) and (2)
put equal both sides -x = -7x
-x + 7x = 0
6x = 0
x = 0
put it in 2nd equation
y = -7(0)
y = 0
Since 1950, the growth in the world population in millions closely fits the exponential function A(t) = 26000.018t, where t is the number of years since 1950. Estimate the population in the year 2018 to the nearest million.
Answer:
vhvjh648585869786
Step-by-step explanation:
Please help :) i need help
2x+y=8 and 6x-y=5...which variable should be eliminated and why
Answer:variable y
Step-by-step explanation:
because it doesn’t have a like variable
Given m||n find the value of x
Answer:x = 123 corresponding angles
straight angle = 180 ( 180 - 57 ) = 123
Step-by-step explanation:
Hey do you know what 18<-2x is i dont know the answer
Answer:
[tex]x[/tex] = -9
Step-by-step explanation:
Given 18 this will be easy
18 ÷ -2
-9
x = -9
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
pleasssssssssss can you help me
Answer:
D=(3,-5) S=(-2,1) P=(-5,4) J=(-4,-5) M=(5,4)
Step-by-step explanation:
Answer:
D=3,-5
S=-2,1
P=-5,4
J=-4,-5
M=5,4
Step-by-step explanation:
Please help me solve this I will give brainlest if you tell me how
Answer:
A. 80
Step-by-step explanation:
I know it's A. because it's an acute angle but it's not rly small like 50 degrees but close to a right angle so it's 80 degrees
PLZ HELP!
find the value of f(-2) for the function f(x)=4x+10
Show work please
Answer:
f(-2) = +2
Step-by-step explanation:
Let x = -2
So,
f(x) = 4x + 10
Substituting the value of x gives ,
f(-2) = 4 × (-2) + 10 = 10 - 8 = 2
Nora ate x amount of strawberries. Zoe ate [tex]\frac{1}{5}[/tex] less than that. Which equation can be used to find out how many strawberries Zoe ate?
a. y = 1.5x
b. y = 0.2x
c. y = 0.8x
d. y = 1.2x
can someone try and provoide an explanation I really don't get this.
Answer:
B
Step-by-step explanation:
1/5 as a a decimal would be 0.20 because if you multiply 0.20 by 5 you get 1
Answer:
B
Step-by-step explanation:
First convert [tex]\frac{1}{5}[/tex] to a decimal : 0.2
y represents how many strawberries Zoe ate
x represents how many strawberries Nora ate
If you take the equation- y = 0.2x and plug how many strawberries Nora ate you would claculate how many Zoe ate.
For example: say Nora ate 10 strawberries the equation would be- y(how many strawberries Zoe ate) = 0.2 · 10 ( the naumber of strawberries Nora ate)
I hope this help :)
Lauren is working two summer jobs Lifeguarding and washing cars .She can work no more then 9 hours Altogether between both jobs In a given week . Write A inequality that will represent The possible values for the number Of hours Live guarding,l and The number of hours washing cars W That Lauren can work In a given week
Answer:
[tex]L + W \leq 9[/tex]
Step-by-step explanation:
Given
Represent lifeguarding cars with L
Represent washing cars with W
[tex]Hours = 9\ hours[/tex] --- at most
Required
Express the scenario as an inequality
First, we need to determine the number of hours Lauren can work.
This is calculated as follows:
[tex]Total\ Hours = L + W[/tex]
From the question, we understand that the total hours cannot exceed 9 hours.
This can be expressed as [tex]\leq 9[/tex]
So, we have:
[tex]Total\ Hours \leq 9[/tex]
Substitute L + W for Total Hours
[tex]L + W \leq 9[/tex]
What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4?
The answer to your question is D. 512
Answer:
D) 512
Step-by-step explanation:
the answer to the question is D) 512
(-4,6); slope = -3/4
Answer:
y = - [tex]\frac{3}{4}[/tex] x + 3
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{4}[/tex] , thus
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 4, 6) into the partial equation
6 = 3 + c ⇒ c = 6 - 3 = 3
y = - [tex]\frac{3}{4}[/tex] x + 3 ← equation of line
The equation of a line with given coordinate point and slope is y = -3/4 x + 3.
The given coordinate point is (-4, 6) and slope (m) = -3/4.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Put, (x, y) = (-4, 6) and m=-3/4 in y=mx+c, we get
6 = -3/4 (-4) + c
⇒ 6 = 3 + c
⇒ c = 3
Substitute m=-3/4 and c=3 in y=mx+c, we get
y = -3/4 x + 3
Therefore, the equation of a line with given coordinate point and slope is y = -3/4 x + 3.
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Take my points and answer 1 + 19,000
Answer:
19,002
Step-by-step explanation:
I need help plzzzzz!
Answer:
It should be 8.15 for x
Step-by-step explanation:
Sylvie had 51 baseball cards. She kept 3 of her favorite ones. She then shared them equally between her 4 friends. How many baseball cards did each of her friends receive?
What is 130% of 56g?
The answer would be 72.8 grams
Need help ASAP! Sorry for the low-ish quality
I just need the equation please.
Answer:
the equation? which graph am i finding the equation for u?
Step-by-step explanation:
Encik Ahmad builds a rectangular shaped garden
measuring 85 m long and 30 m wide. He divides the
garden into square plots to plant a variety of flowers.
Find the number of square plots that can be built if he
only wants three different square sizes.
Answer:he should build them 25x10
Step-by-step explanation:
Encik Ahmad can build 10 square plots with three different sizes.
What is Rectangle?Rectangle is a polygon in two dimensional geometry which has four sides and four angles and each angle being right angles.
Length of the rectangular plot = 85 m
Width of the rectangular plot = 30 m
We have to find the number of square plots Encik Ahmad can built of three different sizes.
For that first we take a 45 m length of the plot.
Divide it to three equal lengths. We get three lengths with each 15 m length.
Along the width also, divide into two equal width, each having a width of 15 m.
Each 15 m length, we will get two square plots.
Along 45 m length, we get 3 × 2 = 6 square plots.
The remaining rectangle has length 40 m and width 30 m.
Divide this length as 30 m and 10 m.
So we get a square of dimension 30 m.
Remaining is a rectangle whose remaining length is 10 m and width 30 m.
Along the width, divide into three equal widths, each 10 m.
So there we get three square plots with side length 10 m.
So we have 10 square plots, 6 having the side length 15m, 1 having the side length 30 m and 3 having the side length 10 m.
Hence he get 10 square plots having three different sizes as 15 m, 30 m and 10 m.
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An observation deck extends 200 feet out above a valley. The deck sits 150 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h6150. How long will it take for the object to be 6 feet above the valley floor? t will take seconds for the object to be 6 feet above the valley floor (Type an integer or a decimal.)
add the equation in. this helps because i have the same question:
h=-16t^2+150
Step-by-step explanation:
this is just the equation , when copying and pasting sometimes it doesnt put all the symbols.
Write a numerical expression for the number of inches, n, divided by 12
Answer:
n/12
Step-by-step explanation:
Hope this helps :)
Answer:
n/12
Step-by-step explanation:
BRAINLIESTTTTTTT PLLLZZZ PLZZ PLZZZ
Is This A Function??
Will Give Crown!!
Answer:
yes it is a function
Step-by-step explanation:
Linda and Juan went shopping. Linda spent $15 less than Juan.
If we let
z represents how much Juan spent, write an algebraic expression for how much Linda spent.
Answer:
Linda = z - 15
Step-by-step explanation:
Linda spent $15 less than Juan, it means: Linda + 15 = z
Linda + 15 - 15 = z - 15
Linda = z - 15
if you find this helpful, give me like and hearts.
El valor oficial dado a conocer, de la energía "E" liberada por la bomba atómica lanzada sobre Hiroshima, el 6 de agosto de 1945, fue de 8,9 x 1013 Joules, utilice la ecuación M=0,667∙log(E/〖10〗^4,4 ) para determinar la magnitud del sismo provocado por
Answer:
6,37
Step-by-step explanation:
Dado que la energía de la bomba atómica = 8,9 x 10 ^ 13 Joules
se nos dio que la magnitud del terremoto M viene dada por
M = 0,667 ∙ log (E / 〖10〗 ^ 4,4)
Sustituyendo valores en consecuencia;
M = 0,667 ∙ log (8,9 x 10 ^ 13 Julios / 1 * 10 ^ 4,4)
M = 0,667 ∙ log (8,9 x 10 ^ 8,6)
M = 6,37
HELPPPPP!!!!!!!! ASAPPPPPPP!!!!!!!!!!
Choose the best explanation for why the graph shown is a line of best fit.
The graph shows a line of best fit because the points fit around the line.
The graph shows a line of best fit because there is a straight line.
The graph shows a line of best fit because the association is zero.
The graph shows a line of best fit because the points are plotted evenly above and below the line.
Answer:
The graph shows a line of best fit because the points are plotted evenly above and below the line.
Step-by-step explanation:
The best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a line of best fit shown in the picture.
As we know if the slope of the line is positive then the correlation will be positive.
From the line of best fit:
Because the points are evenly spaced above and below the line, the graph displays a line of best fit.
Thus, the best explanation is that the graph shows a line of best fit because the points are plotted evenly above and below the line option (D) is correct.
Learn more about the line of best fit here:
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what is the quotient when x^3-5x^2+2x+5 is divided by x-2
plzzzz HELP Write an expression for the sequence of operations described below.
5 divided by the product of 10 and 9
Answer:
5/10*9
Step-by-step explanation:
This is the answer because 5 divided means 5/ and the product of 10 and 9 is 10*9 and add those together you get 5/10*9 and that equals 4.5 :)
A bus travels 9.65 miles east down Rational Boulevard. If the number -9.65 represents the movement of the bus, which number represents the distance traveled?
-9.65
|-9.65|
|9.65|
none of the above
Answer:
i think its B
Step-by-step explanation:
Answer:
b
Step-by-step explanation: