Answer:
(-4)3/(-4)-12
-12/48
-1/4
Step-by-step explanation:
PEMDAS
do multiplication then division
A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same
distance in each number of hours.
travel time
(hours)
rate of travel (miles per
hour)
5
4.5
3
2.25
Part 2. In the scenario in question 4 write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if they traveled for t hours WILL GIVE 80 POINTS 
Answer/Step-by-step explanation:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Therefore, rate travelled for t hours would be:
[tex] r = \frac{180}{t} [/tex]
The rate of travel gives the average speed the car will be going if it covers
the 180 miles in different times
Part 1. The table showing the rate at which the car was going is presented as follows;
[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]
Part 2. To make it easy to find the rate of travel, the following equation may be uses;
[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]Reasons:
Part 1.
The given distance travelled by the car = 180 miles
[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]
Therefore, we have;
[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]
Part 2.
The equation that would simplify the finding of the car's travel rate is given
by the following expression;
[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]
Where:
The constant distance traveled = 180 miles
The time taken = t
The equation that will make finding the rate of travel, easy in therefore;
[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]
Learn more:
https://brainly.com/question/17374284
Which two expressions are equivalent?
a.) 2a and 9/3 (a)
b.) 5a and 3(2a)
c.) 4a - 2a and a+a
d.). 4a - a and 1+1+1+a
Answer:
C) 4a-2a=a+a
Step-by-step explanation:
4a-2a=2a
2a=a+a
2a=2a
answer:
option c is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
You can answer all if you would like but only a few would be fine as well
Write the equation of the line fully simplified slope-intercept form.
Answer:
The equation of the line in slope-intercept form is y = -x + 6
Step-by-step explanation:
The form of the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineLet us choose two points on the line to form the equation
∵ Points (6, 0) and (0, 6) lie on the line
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]
∴ m = -1
→ Substitute it in the form of the equation above
∵ y = -1(x) + b
∴ y = -x + b
∵ b is the y-intercept
∵ The y-intercept is the value of y at x = 0
∵ At x = 0, y = 6
∴ b = 6
→ Substitute the value of b in the equation
∵ y = -x + 6
∴ The equation of the line in slope-intercept form is y = -x + 6
4X + 2( X+ 7) = 5(X-3) *
Answer:
x= -29
Step-by-step explanation:
hi! let's start off by distributing.
4x+2(x+7)=5(x-3)
4x+(2x+14)=5x-15 combine like terms
6x+14=5x-15 subtract 5x on both sides
x+14=-15 subtract 14 on both sides
x= -29
there's your answer!
Answer:
x = -29
Step-by-step explanation:
4x + 2x +14 = 5x - 15
6x + 14 =5x - 15
x = -29
Please correct me if I'm wrong.
Can someone please help me pleaseee
Answer:
B. 55
Step-by-step explanation:
The angle measurements on the top are the same as the bottom, so we know the angle next to (x+70) is 55. You then subtract 55 from 180 and you are left with 125. Then you have to subtract 70 to find x, which gives you 55. Therefore, x=55
What is the product?
254
X 47
O 11,618
O 11,818
O 11,838
O 11,938
25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses?
Answer:
30
Step-by-step explanation:
Answer: 30 students
A bucket holds 10 potatoes. Hal removes and cleans 4 potatoes per minute.
Write the explicit definition for the sequence that represents the potatoes left
in the buck after n minutes ?
Answer:
an = 10 – 4(n – 1)
Step-by-step explaination
answer is an = 10 – 4(n – 1)
1. You withdraw $17 from your account.
IL A running back loses 17 yards in a game.
III. The temperature rises 17 degrees.
The integer -17 would BEST represent which of these events?
les ))
A)
I only
B)
III only
I and II only
Eliminate
D)
II and III only
The graph of line is shown below. Yes
y
(-2,9) 81
6
41
21
(6.1)
X
4-2
2
4
6
8
Nol
-4
-61
-
What is the slope of line i?
Answer:
where is the graph??
Step-by-step explanation:
Find the average rate of change of g(x) = 4x + 13 over the interval [-3, 0].
Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify
any fractions.
Answer:
4
Step-by-step explanation:
Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?
Check all that apply.
Evaluate the expression if m=4 n=3 and p=2
5m-4n+p=
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]5m-4n+p[/tex]
You would substitute in the given values and then combine like terms
[tex]m=4\\n=3\\p=2[/tex]
[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]
a rectangular compound has the dimensions 6 m by 10 m a square carpet is laid in the centre of the compound.Thr carpet is 3 m by 3 m. find the part of the compound that is uncovered by the carpet
Answer:
the uncovered part is 3 by 7
Help ASAP please and thank you
Answer:
I'm pretty sure its 18!
Step-by-step explanation:
Negative times Negative is a positive.
2×9 is 18 so that's the answer!
Answer:
18
Step-by-step explanation:
-2 x -9 = -2(-9)
Multiplying two negatives equals a positive
and 2 x 9 equals 18.
(-) x (-) = (+)
Sorry if it doesn't make sense.
Solve for x:
30 = 14 - 4(3 - x)
Answer:
-7
Step-by-step explanation:
First, distribute. 30 = 14 - 12 - 4x
Then, simplify and get the regular numbers one the left side.
30 = 2 - 4x 28 = -4x
Finally, divide both sides by -4 to get x by itself.
-7 = x
6x - 2 = x + 13 what is the value of x
Answer:
x = 3
Step-by-step explanation:
6x - 2 = x + 13
6x - x = 13 + 2
5x = 15
x = 3
LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE
okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like
(-3/2)-6+n=4 you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y
b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so
(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y
Which statement correctly compares the graph of function g with the graph of function f?
A.
The graph of function g is a vertical stretch of the graph of function f.
B.
The graph of function g is a horizontal shift of the graph of function f to the left.
C.
The graph of function g is a vertical compression of the graph of function f.
D.
The graph of function g is a horizontal shift of the graph of function f to the right.
Answer: It is a vertical COMPRESSION
Step-by-step explanation:
"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!
Answer:
c
Step-by-step explanation:
Alex can run 9 miles in 3 minutes x I need the equation and constant of porportionality
Answer:
k=9/3= 3
Step-by-step explanation:
Mark me the brainliest please
To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?
Possible Answers:
A:Because this is a convenience sample, it is likely that the sample results will be unbiased.
B:Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C:Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D:Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
Answer:
the answer is B :)
Step-by-step explanation:
edgen 2020
0.2y-14=1/4(4-y) tell each property used to solve the equation
A recipe uses 834 cups of milk for every 312 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal
Answer:
Around 2.67
Step-by-step explanation:
Dived 834 by 312 and try to simplify
Haddasah and Devon went shopping together. Haddasah bought 6 oranges and 5 lemons for $5.67. Devon bought 3 oranges and 7 lemons for $4.32. Their purchases can be modeled by a system of equations. A. Write a system of equations that represents this situation. Define the variables.
Answer: Define variables:
x = Cost of orange
y= Cost of lemon
System of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
Step-by-step explanation:
Let x = Cost of orange
y= Cost of lemon
Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)
As per given,
6x+5y = 5.67
3x+7y = 4.32
Hence, system of equations that represents this situation:
6x+5y = 5.67
3x+7y = 4.32
What is 35/80 in lowest terms
Answer:
7/16
Step-by-step explanation:
Divide each side by 5
7x = -84
Solve the equation
Answer:x = -12
Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>
Answer:
x=−12
Step-by-step explanation:
can you mark me as branlest if right
1. There were 3 towns on the mountain. The population of Hazelhurst was
4248. The population of Baxley was 3584. The population of Jesup was
9418. What was the average population of the 3 towns on the mountain?
Answer:
5750
Step-by-step explanation:
add the 3 populations together, divide by the number of populations (3)
I need help please. How do I find the value of x?
The three sides of a triangle are represented by 6x – 1, 5x + 16, and 3x + 40. Express the perimeter, in terms of x.
Answer-
Step by step explanation:
We know that perimeter of a triangle is equal to sum of the sides of a triangle.
So, we need to add the sides,
(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle
6x - 1 + 5x + 16 + 3x + 40
14x + 55
Hence, 14x + 55 is the perimeter of triangle.