Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
original price: $24.50
discount:30%
tax:2%
Answer -
Discount -
24.50 x 30/100
24.5 x 0.3 = 7.35 saved
24.5 - 7.35 = 17.15
Discount you saved $7.35 , which brings you price 17.15
tax -
17.15 + 0.34 = 17.49
With taxes you pay 17.49
HOPE THIS HELPS :)
Find the inequality represented by the graph.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
find the slope and y-intercept and write equation in form of
y = mx + b; m = slope and b = y-intercept
if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3
we can see by looking at the graph that the y-intercept is 1
therefore, y ≤ -1/3x + 1
How can i answer this question
Answer: 10g+6h+8
So none of the above I think
Step-by-step explanation:
Answer:
It should be C none of the above
Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p
Answer:
11. attends
12. attend
What is 5 1/4 ➗ -2 1/2 equal to?
Answer:
-2.1
Step-by-step explanation:
Answer:
Hi, I hope i'll help you.
Step-by-step explanation:
The answer is 2.1, hope it helps!
I need a answer as soon as possible
Answer:
67
Step-by-step explanation:
Because 180-113 is 67.
Answer:
67°
Step-by-step explanation:
A line is 180° so subtract the 113°
180 - 113 = 67°
hope that helps and have a great day :D
anybody help please hm
Answer: [tex]2^{21}[/tex]
Step-by-step explanation:
h(x) = 2x2 + x + -3
Find h(2)
According to legend, in 1589 the Italian scientist Galileo
Galilei dropped two rocks of different weights from the top of the Leaning Tower
of Pisa. He wanted to show that the rocks would hit the ground at the same time.
Given that the tower's height is about 177 feet, how long would it have taken for
the rocks to hit the ground?
1
To solve this problem solve the equation
O= 16t² + 177 Round to the hundrettes place,
Don't forget
to label your
answer
From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.
From the information given, the formula for the height is given as:
h(t) = -16t² + v + h0
where,
h0 = 177
h(t) = 0
We'll put the values back into the formula. This will be:
h(t) = 16t² + v + h0
0 = -16t² + 177
16t² = 177
t² = 177/16
t = 3.326
Therefore, the time taken will be 3.326 seconds.
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Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.
Answer:
Step-by-step explanation:
Helpppppppppp assssaaaap
==================================================
Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
-----------------------------
Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
PLEASE YOU GUYS I NEED REAL HELP !!!!!!
The population of a town is modeled by the equation P=3485e0.12t, where “P” represents the population as of the year 2000.
According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Part A: 11,571 people in 2010
Part B: approx. 22 years
Part A: 38,416 people in 2010
Part B: approx. 13 years
Part A: 11,571 people in 2010;
Part B: approx. 13 years
Part A: 38,416 people in 2010;
Part B: approx. 22 years
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Let P represents the population as of the year(t) 2000. Given the equation:
[tex]P=3485e^{0.12t}[/tex]
In the year 2010 (t = 10 years), the population would be:
[tex]P=3485e^{0.12*10}=11571\ people[/tex]
For the population to reach 50000 people:
[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
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What is 2/3, 7/6, 3 1/9, and 5 5/18 written as a decimal?
Please give an explanation and a correct answer!
I will give brainliest to whoever answers first!
Step-by-step explanation:
[tex] \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722[/tex]
8^3x=16^2x
Can you please solve this it is 8 to the power of 3x and 16 to the power of 2x
Answer:
2000kkkkkkkkkkklllllk
Is -4/-19 equivalent to -4/19
Answer:
No
Step-by-step explanation: The first one is positive and the second one is negative
Can someone plz help Me?
Answer:
A
[tex]^{}[/tex]
Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7
Simplify:
6x + 6 = 3x - 15
Now use all solutions
6(7) + 6 = 3(7) - 15
42 + 6 = 21 - 15
Nearly, you can tell it doesn't work.
6(-7) + 6 = 3(-7) - 15
-42 + 6 = -21 - 15
-36 = -36
So, -7 is x.
Answer:
[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]
[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]
[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]
[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]
6 less than one-third of a number m is y
Answer:
(m×1/3)-6=y
Step-by-step explanation:
Start with m as the unknown variable.Now multiple that by 1/3 to find that portion of m. (m×1/3)Lastly, subtract 6 and set the expression equal to y. (-6=y)Thus we get our final equation: (m×1/3)-6=yIf a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?
Question 28
What is the speed in m/s of a car that travels 30km in 20 minutes?
A: 1500 m/s B: 150 m/s
C: 90 m/s
D: 540 m/s
E: None of these
Answer:
E none of these
Step-by-step explanation:
first convert the 30 km into m
it will be 30000m
speed = distance /time taken
convert the time into seconds too it will be 1200
so 30000/1200 = 25m/s
none of the above
A boat heading out to sea starts out at Point AA, at a horizontal distance of 968 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 7^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
As the distance from the lighthouse, LH, increases, the angle of elevation,
reduces.
The distance from point A to point B is approximately 1,269.9 feet.Reasons:
The distance of point A from the light house = 968 feet
Angle of elevation from point A to the lighthouse = 7°
Angle of elevation from point B to the lighthouse = 3°
Required:
The distance from point A to point B.
Solution:
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]
Which gives;
[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]
Height to the lighthouse = tan(7°) × 968 feet ≈ 118.86 feet
From point B, we have;
[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]
Therefore;
[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]
Therefore;
Distance from A to B = D
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet
The distance from point A to point B, D ≈ 1,269.9 feet
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Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk
Given that the shape of the graph is curved, the rate of change can be
estimated by using the average value between specified points.
The points are;
[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]Reasons:
The coordinates of the points marked (distances and time) during the walk are;
[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]
Required: Identification of two points marked on the graph that define the
interval where Samantha's average rate of change was 2/3 meters per
second.
Solution:
The average rate of change between two points is given by the ratio of
difference in the distance from the motion detector to the difference in
time between the points.
[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]
At the required points, the change in the y-values, will be 2 × a, while the
corresponding change in x-values will be 3 × a, where, a is rational number.
From the above table, at the points where the time is 6 seconds and 9
seconds, we have the following distance time ordered pair;
(6, 6), and (9, 8), from which we have;
[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]
Therefore;
The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval
where her average rate of change was 2/3 meters per second.
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PLZ HELP! 50 PTS PER PERSON
11 less than 3 times a number is the same as 75 less than the product of -1 and the number.
Answer:
No solution
Step-by-step explanation:
Create an equation with the values given. Solve like an algebraic question.
11 > 3*x = 75> -1*x
3*x and -1*x should lead to a value greater than 11.
Since there is no value that can be multiplied by a negative and be a positive, besides negative numbers, in which the term of 11>3*x wouldn't be positive, this would have no solution.
No solution.
Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?
Answer:
distribute parenthesis
Step-by-step explanation:
6(2x + 1) = 4x - 5 ← distribute parenthesis on left side
12x + 6 = 4x - 5 ( subtract 4x from both sides )
8x + 6 = - 5 ( subtract 6 from both sides )
8x = - 11 ( divide both sides by 8 )
x = - [tex]\frac{11}{8}[/tex]
Lola's Suds costs $3.48 for a 12 ounce bottle. Bill's
Bubbles cost $1.60 for a 12 ounce bottle. Which
bottle cost less per ounce?
Answer: Bill's $0.1333333 per oz
Step-by-step explanation:
quick pls!! my math grade is at a B! I need to raise it.
How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points
Answer:
124.8 points (Total)
109.3 points (Lee High School & Rye High School)
Step-by-step explanation:
Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 pointsTotal
85.9 + 15.5 + 23.4101.4 + 23.4124.8 pointsLee HS and Rye HS
85.9 + 23.4109.3 pointsCan someone help answer b plzzz