Answer:
53.2 mph
Step-by-step explanation:
A truck driver travels at an average speed of 65 miles per hour on a 200 miles trip to collect a load of freight
On the return trip the average speed is 45 miles per hour
Average speed= total distance/total time
The first step is to calculate the total time
Time spent when going on the trip(t1) can be calculated as follows
200 = 65 × t1
t1= 200/65
t1= 3.0769 hrs
The time spent when returning from the trip can be calculated as follows
200 = 45 × t2
t2= 200/45
t2= 4.44 hrs
Total time = 3.0769 hrs + 4.44hrs
= 7.521 hrs
The total distance can be calculated as follows
= 2×200
= 400
Therefore the average speed for the round trip can be calculated as follows
= 400/7.521
= 53.2 mph
Hence the average speed for the round trip is 53.2 mph
This summer, Silvia has been selling lemonade for $9 per cup. If Silvia has sold 19 cups so far, how much money has she made?
Answer:
$171
Step-by-step explanation:
Price of lemonade = $9 per cup
Quantity sold = 19 cups of lemonade
Revenue = price of the product × quantity of the product sold
Silvia's total revenue = price × Quantity
= $9 × 19 cups
= $171
Silvia has made a total of $171 from selling 19 cups of lemonade at $9 each
Which graph shows all natural numbers less than three?
Answer:
A i think
Step-by-step explanation:
Answer:
Try b out
Step-by-step explanation:
if that isn’t working for you {because it didn’t work for me}try b because it says less the 3 b is the only one the is less then three
A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction
Answer:
Yes, we agree with her prediction.
Step-by-step explanation:
Given:
Number of sample student = 60
Number of total student = 600
Number of student plan to go college = 675
Sample of student plan to go college = 75%
Find:
Prediction is correct or not
Computation:
Number of student plan to go college in sample = 60 × 75%
Number of student plan to go college in sample = 45
Number of student plan to go college = Number of student plan to go college in sample [900 / 60]
Number of student plan to go college = 45[900 / 60]
Number of student plan to go college = 45[15]
Number of student plan to go college = 675
So,
Yes, we agree with her prediction.
Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
87 11/14
Step-by-step explanation:
1,229 ÷ 14
It can also be written as
1,229 / 14
14 in 12 is not possible
14 in 122 is 8 remainder 10
The 10 remaining + 9 in the the given expression
14 in 109 is 7 remainder 11
The answer is 87 11/14
87 whole number 11 over 14
1,229 / 14 = 87 11/14
Evaluate the expression for the given values.
MX- y when m=5, X = 3, and y=8
Enter your answer in the box
I NEED HELP
Answer:
mx-y=7
Step-by-step explanation:
mx-y
5*3-8
15-8=7
Round 17.834 to the nearest tenth. Your answer
Answer:
Hey there!
17.834 rounded to the nearest tenth is 17.8
Let me know if this helps :)
Please solve this questions step by step
Answer:
I am not solving the questions from 1 to 8 , as they are only simple addition questions.
Answer:
Step-by-step explanation:
Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Answer:
The correct option are;
f(x) = x² - 4 and g(x) = x - 3, (f ο g)(2) = -3 and (g ο f)(2) = -3, so the function is commutative
Given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
Step-by-step explanation:
For the equations f(x) = x² - 4 and g(x) = x - 3, we have;
(f ο g)(x) = f(g(x)) = (x - 3)² - 4 = x² - 6·x + 9 - 4 = x² - 6·x + 5
At x = 2, we have;
(f ο g)(2) = f(g(2)) = 2² - 6×2 + 5 = - 3
Similarly, we have;
(g ο f)(x) = g(f(x)) = x² - 4 -3 = x² - 7
At x = 2, we have;
(g ο f)(2) = g(f(2)) = 2² - 7 = 4 - 7 = -3
Therefore, by commutative property, we have that the result of an operation does not change by changing the order of the operands such that we have;
a + b = b + a or a·b = b·a from which we have resolved also the following operation is commutative
(f ο g)(2) = (g ο f)(2)
Similarly given f(x) = 4·x and g(x) = x², (f ο g)(x) = 4·x² and (g ο f)(x) = 16·x²
So the function is not commutative
(f ο g)(x) = f(g(x)) = 4·x²
(f ο g)(x) = 4·x²
(g ο f)(x) = g(f(x)) = (4·x)² = 16·x²
(g ο f)(x) = 16·x²
∴ (f ο g)(x) = 4·x² ≠ (g ο f)(x) = 16·x²
(f ο g)(x) ≠ (g ο f)(x) the function is not commutative.
Answer:
DGiven f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
find f(1/4)
if f(x)=4x^2-2/3x
please guys explain it to me I cant understand it
Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours 3.0 hours 4.0 hours
Answer:
A) on edge2020
Step-by-step explanation:
The greatest amount of time when they worked together is 2.4 hours.
What is algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Randy at most 4 hours to clean the offices.
Trey at most 6 hours to clean the offices.
If they work together, they will clean
1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together.
Thus,
5*x/12=1
5x=12
x= 12/5
x= 2.4 hours.
Learn more about this concept here:
https://brainly.com/question/14063451
#SPJ2
helpppp MEEE!!!! Helpp
Answer:
For A, the answer is D, y=-x+2, and for B, the answer is C, (2,1)
Step-by-step explanation:
The answer for question A is justified by the fact that the graph is negative, so x is -x, but there is a positive y-intercept so it is a +2 y-intercept. For question B, I just graphed it on desmos and looked for all the points , and (2,1) is the only one on the line.
Megan has $45.12 in her purse. She spends $7.89 for lunch and $21.25 for a pair of
sunglasses. Which is the best estimate for the amount of money Megan has left?
O A. $12
B. $16
C. $20
D. $24
the answer is B. $16.00 because when you do the math it comes up to 15.98
$6 is left with Megan.
What is an equation?An equation is a mathematical statement with equality sign in between two mathematical expressions.
How to solve the problem?Suppose she is left with $x.
Then as per the question
$45.12=$21.25+$7.89+$x
⇒$x=$15.98≈$16
Hence, Megan is left with $16.
Learn more about equations from- https://brainly.com/question/10413253?referrer=searchResults
#SPJ2
Help please what is 50x+25x-10y
Steps to solve:
50x + 25x - 10y
~Combine like terms
75x - 10y
Best of Luck!
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{75x-10y\addvspace{0.2cm} \centering $ \;\; \, \; $ }}\\[/tex]
Step-by-step explanation:
[tex]50x+25x-10y[/tex]
Let's simplify this. First, we will combine the like terms.
[tex]50x+25x-10y[/tex]
Let's add parenthesis.
[tex](50x+25x)+(-10y)[/tex]
This equals to:
[tex]75x+-10y[/tex]
Hope this helps!
plz help need to finish by 12:00 am
30.
[tex]g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6[/tex]
31.
[tex]h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90[/tex]
32.
[tex]f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}[/tex]
33.
[tex]g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}[/tex]
When cubing a number, you have to...
Answer:
multiply the number its self 3 times , for example 3x3x3=27 = 3^3
Step-by-step explanation:
Answer:
you have to multiply the number by itself 3 times
Step-by-step explanation:
can i get brainliest? i only need 2 more
Solve the equation m2 = 14
Answer: m = 7
7 x 2 = 14
idk anymore
Steps to solve:
m² = 14
~Take the square root of both sides
√m² = √14
~Simplify
m = ±√14
Best of Luck!
There are 3 different highways from City W to
City X, 4 different highways from City X to
City Y, and 3 different highways from City Y
to City Z. How many different routes are there
for a trip from City W to City X to City Y to
City Z?
Answer:
6 x 4 you have 4 numbers and each can be put in 6 different ways. so it is 24 i think
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
4*3*3
12*3
36
Please answer the question in the picture
Answer: Slope = -7/5
=========================================================
Explanation:
Pick any two rows you want. I'll select the first two rows.
Each row represents an (x,y) point
The first row means (-8,55) is one point and the second row means (2,41) is another point.
Use these two points in the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (41-55)/(2- (-8) )
m = (41-55)/(2 + 8)
m = -14/10
m = -7/5 is the slope
The negative slope means the line goes downhill as you move from left to right.
Specifically, every time it drops 7 units the line moves over to the right 5 units.
slope = rise/run = -7/5
rise = -7, negative rise means we go down 7 spaces
run = 5 means we move to the right 5 spaces
22-3 (x-70) = x+20
please help
Answer:
x = 53
Step-by-step explanation:
22 - 3 ( x - 70 ) = x + 20 Multiply out
22 - 3x + 210 = x + 20
22 + 210 - 3x = x + 20
232 - 3x = x + 20
232 - 3x + 3x = x + 3x + 20
232 = 4x + 20
232 - 20 = 4x + 20 - 20
212 = 4x
212/4 = 4x/4
212/4 = x
x = 53
Answer:
Step-by-step explanation:22-3(x-70)=x+20
22-3x+210=x+20
22+210-3x+3x=x+3x+20
232=4x+20
4x=232-20
X=53
sry but hop now it's correct
hope that it's correct.plz comment on box if it's incorrect
3x+x+4=-20 show work
Answer:
-6
Step-by-step explanation:
3x+x+4=-20
4x+4=-20
4x=-24
x=-6
The figure below shows a rectangular parking lot.
67 yd
86 yd
What’s the perimeter
Answer:
306 yd
Step-by-step explanation:
[tex]P=2(l+w)\\\\P=2(67+86)\\\\P=2(153)\\\\\boxed{P=306}[/tex]
Hope this helps.
What is the median of the data shown heights of the members of me.smith class
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{72}}}}}[/tex]
Step-by-step explanation:
Given data : 68 , 69 , 71 , 71 , 71 , 73 , 74 , 75 , 75 , 78
N ( total number of observation ) = 10
Finding the position of median
[tex] \boxed{ \sf{median = { (\frac{n + 1}{2} )}^{th \: item} }}[/tex]
[tex] \dashrightarrow{ \sf{median = { (\frac{10 + 1}{2} )}^{th \: item}}} [/tex]
[tex] \dashrightarrow{ \sf{median = {( \frac{11}{2}) }^{th \: item}} }[/tex]
[tex] \dashrightarrow{ \sf{ median = {5.5}^{th \: item}}} [/tex]
[tex] \sf{ {5.5}^{th} }[/tex] item is the average of 5 th and 6 th items.
Now, Finding the median
[tex] \dashrightarrow{ \sf{median = \frac{ {5}^{th}item + {6}^{th} item}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{71 + 73}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{144}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{72}}[/tex]
Hope I helped!
Best regards! :D
Please help. Choose the answer that makes the sentence true. (Blank)rational numbers are real numbers. A. All B. Some C. No
The value of the expression - 3. () is (Do without a calculator and use "T" as your fraction bar.)
Answer:
-10/21
Step-by-step explanation:
If it is raining then I will need an umbrella
Answer:
yes
Step-by-step explanation:
so you don't get wet
can 1.33 be 1.3? i need help quick please!?
Answer:
yes it can be
Answer:
Step-by-step explanation:
1.33 and 1.3 are not the same, although they share the digits 1.3.
1.33 is accurate to the hundredths place, whereas 1.3 is accurate only to the tenths place.
So: 1.33 and 1.3 are in the same ball park, but are not the same.
47. There are 1.7 grams of fat in a
serving. How many grams of fat
are in 0.8 servings?
A 13.6 grams
B 2.13 grams
C 1.36 grams
D 1.26 grams
Answer:
C. 1.36
Step-by-step explanation:
1.7 * 0.8 = 1.36
since there is not a whole serving it's less than 1.7
Find g(F(4)).
g(f(4)) =
4
Answer:
Step-by-step explanation:
f(4)= 4 - 7 = -3
g(-3) = (-3)^2 = 9
Answer:
g(f(4)) = 9
Step-by-step explanation:
Allen and Renaldo are gaining weight for basketball season. Allen weighs
178 pounds and is gaining three pounds per week. Renaldo weighs
203 pounds but is gaining two pounds per week.
Part A: In how many weeks will they both weigh the same amount?
10. a? = 3,600
algebra solve each equation
Answer:
a=360
Step-by-step explanation:
3600 divided by 10 is 360