Victor left his house at a speed of 18km/hr. When victor was 1/2 km away from his house, his brother Alex left the ouse riding his bike towards Victor at a rate of 24km/hr. How long will it take Alex to catch up to Victor
Answers
Answer: it will take Alex approximately 42.86 seconds to catch up to Victor.
Step-1:- To determine the time it will take for Alex to catch up to Victor, we can use the concept of relative speed.
The relative speed = Seed of victor+ Speed of Alex brother
relative speed= 18 km/hr + 24 km/hr = 42 km/hr.
Step-2 :- Since Alex is starting from 1/2 km away from the house, the distance he needs to cover to catch up to Victor is also 1/2 km.
Using the formula: time = distance / speed
therefore time = \(\frac{1/2}{42}\) we can calculate the time it will take for Alex to catch up to Victor:
time = \(\frac{1}{2} \frac{1}{42}\)/hr = 0.0119 hours or
Now Converting hours into seconds
1 hr = 3600 seconds
0.0119 hr = 0.0119×3600 seconds
Time = 42.86 seconds.
Related Questions
Reasoning Determine whether the following relation represents a function. Use pencil and paper. Explain your reasoning.
{(−6 1),(−6 6),(−6 5),(−4 8),(−3 2),(−9 3)}
Does the relation represent a function?
yes or no ?
Answers
Jerry climbed 210 feet in elevation.He then went down 300 feet.What integer represents his total change in elevation?
Answers
Answer:
-90 feet cause it’s 210 - 300 = -90
Answer:-90
Step-by-step explanation:
210-300=-90
If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?
A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation
Answers
Answer: A) Reflection across the y-axis
If a student likes hotdogs, what is the probability that student also likes burgers?
93.8%
50.7%
42.1%
39.5%
Answers
Answer:
42.1%
Step-by-step explanation: helped by the flower dude
Answer:
I will say b
Step-by-step explanation:
Why I think it is b is because people half a 50 50 chance
brainliest please I beg I just need 1 more please till I rank up then I’ll do anything for you please I beg of you
The histogram shows the number of points scored by a basketball team for one season. A histogram titled points scored in one season shows the number of games in which a certain number of points were scored. The data is as follows. 69 to 76 points: 3 games. 77 to 84 points: 6 games. 85 to 92 points: 8 games. 93 to 100 points: 1 game. According to the histogram, in what percentage of games did the team score between 77 and 92 points? Enter your answer in the box. Round your answer to the nearest percent.
Answers
Find the total number of games with points scored between 77 & 92 pts - 14
To find the percentage divide 14/18 - .777
Multiply .777*100 - 77.7
Round to 78%
Percentage of games the team scored between 77 and 92 is 77.7% .
Given data from the histogram shows the number of games that are played in the range of 77 - 92.
Total number of games played = 18
Number of games played in the range 77 - 92 = 14
Percentage of games played in the range 77-92 = (Number of games played in the range 77 - 92) / (Total number of games played) × 100
Percentage = (14)/(18) × 100
= 77.7% .
Hence the number of games played in the given range is 77.7%.
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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
The square root of the quantity 2 x minus 7 end quantity equals 1.
Answers
Answer:
Step-by-step explanation:
= 7 ( square both sides )
11x + 5 = 7² = 49 ( subtract 5 from both sides )
11x = 44 ( divide both sides by 11 )
x = 4
substitute x = 4 into the left side of the equation and if equal to the right side , then it is the solution.
= = = 7 ← equals right side
then x = 4 is the solution
X = 4
George solved the equation -103 = -2(-7x + 7) + 8x as follows:
-103 = -2(-7x + 7) + 8x
Step 1: -103 = 14x + 7 + 8x
Step 2: -103 = 22x + 7
Step 3: -110 = 22x
Step 4: -5 = x
At which step did he make an error?
Explain the error:
Answers
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x
PLEASE HELP if you can
they might be mixed up but portland, missippi, then questions
(file below)
Answers
Answer:c
Step-by-step explanation:
Michael tracks his pay. He has already earned $97.75. He determined that the expression 97.75+17.80h represents the amount of money, in dollars, he has earned at hours.
Based on the given expression, about how many hours does it take Michael to earn 678.25?
Answers
Help
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers?
Answers
Answer: 16/225
Step-by-step explanation:
i did the math
3 red + 5 blue + 3 yellow + 4 black
= 15 markers
And there’s 4 black markers so it would be a 4 (number of items) over the total amount (15)
What is the number, in cubic inches of the original box?
Answers
The volume of the original box is given as
V = lwh
V = 10(6)(3)
V = 180 in³
If you flip a coin 10 times,
how many times, theoretically,
should it land tails up?
:Probability
(Pls step-to-step)
:,D
Answers
At least theoretically
Pls help me with this
Answers
Answer:
Library A: 1500 books
Library B: 900 books
Library C: 3250 books
Library D: 750 books
Library E: 3000 books
From GREATEST to LEAST
Library C, Library E, Library A, Library B, then Library D
help pls?? tysm if you do❤️
Answers
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
.
Rita is making a salad using small tomatoes and olives in a ratio of 5:3. A ratio table with this information is shown.
Use the ratio table to create a graph of the relationship. Be sure to fully label your graph.
Number of Tomatoes Number of Olives
5 , 15 , 25 3 , 9 , 15
Answers
Answer:
I can't make an exact graph but the ratios are this:
Step-by-step explanation:
5:3, 15:9, 25:15
hope it helps you a little bit
15:9
25:15
I hope this is right
Question 1
Here is the base of a prism.
a. If the height of the prism is 5 cm, what is its surface area? What is its volume?
b. If the height of the prism is 10 cm, what is its surface area? What is its volume?
c. When the height doubled, what was the percent increase for the surface area? For the volume?
Answers
Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = \(\frac{150}{222}\times 100\) = 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = \(\frac{180}{180}\times 100\) = 100%
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
Answers
Answer: The y-intercept is the initial amount Tammy earns.
Step-by-step explanation:
Always remember that for graphs, the y-intercept is the initial amount. In this case, it would be the initial amount or the very first amount Tammy earns. If the line goes through the origin (0,0), that means that Tammy earns $0.00 for 0 hours of working.
Kenneth graphed a system of equations.
Kenneth says the system has no solution
Do you agree?
Yes or No
Answers
If x and y are in direct proportion and y is 80 when x is 10, find y when xx is 15.
Answers
Answer:
y = 120
Step-by-step explanation:
If x = y, they can be written as a fraction to show their proportionality as \(\frac{10}{80}\). This is equal to \(\frac{1}{8}\), so when x = 1, y = 8. To find when y is equal to x when x = 15, just multiply y by 15. 15(8) = 120, so y = 120 when x = 15.
Answer:
120
Step-by-step explanation:
set up a proportion: 80/10=y/15
solve: 80*15=10y
1200=10y
y=120
PLEASE HELP!!!
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10 2/3 pages? Complete the rate table to solve the proportion.
pages---> 4/3=32/3
hours---> 1/4 = x
Lee can type 10 2/3 pages in _________ hours.
a. 1 3/4
b. 2
c. 2 1/4
d. 2 1/2
Answers
Answer:
First, we know that:
1 1/3 = 4/3
10 2/3 = 32/3
15 minutes = 0.25 hours
Let's imagine that x (hours) is the time it takes Lee to type 32/3 pages.
From the information, we can tell that:
Lee can type:
4/3 pages in 0.25 hours
32/4 pages in x hours
So x should be:
x = (32/4 . 0.25)/4/3 = 2 (hours)
So it takes Lee 2 hours ro type 10 2/3 pages
Step-by-step explanation:
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.
Sketch and label the sides of this rectangle. Use an algebraic expression to represent the length of the long sides.
Answers
Answer:
14 inches??>.......
Step-by-step explanation:
2=x-3
5=x
2,2,5,5
4,10
14 inches
at a museum, a model of a rocket is 3 feet high. the model has a scale of 1 foot to 121 feet. the museum manager will create a new model of the rocket with a scale of 1 foot to 33 feet. what will be the height, in feet, of the new model of the rocket?
Answers
Answer:
0.79 ft ≈ For 30 feet
Step-by-step explanation:
This is even a tricky question for me, I am pretty sure this would be around 0.79 feet. But I am not too sure so I am very sorry if I am incorrect.
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)
the actual rocket is 363 ft tall, because 3(121)=363, since 1 ft for the model is equivalent to 121 ft of the rocket.
363/33=11. you can check this by doing 11(33)=363.
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
Alyssa claims that dividing 4/5 is the same thing as multiplying by 5 then dividing by 4. Is she correct? Explain why or why not.
Answers
She is incorrect because:
Multiply 5 by what?
and also
Instead of dividing by four, it should be (4/5) which is just (4 divided by 5).
This means that it is (divided by five), not (divided by four).
I hope this can help :)
Answer:
She is incorrect
Step-by-step explanation:
4/5=0.8
0.8/5=0.16
But on the other hand, 0.8*5=4
the 2 answers are different, therefore she is incorrect
Austin runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How mAustin runs a lemonade stand to raise money for Baker Children's Hospital. Last weekend, he made 8 quarts of lemonade to sell. Saturday was rainy, so he only sold 6 cups. The weather was better on Sunday, so he sold 18 cups. How many quarts of lemonade does he have left?any quarts of lemonade does he have left?
Answers
Answer:
Austin has two quarts of lemonade left
Step-by-step explanation:
4 cups in 1 quart
6 cups + 18 cups = 24 cups
24 cups sold/4 cups per quart = 6 quarts used
8 quarts - 6 quarts= 2 quartsd
Answer:
Austin has 2 (two) quarts of lemonade left
Determine whether each element of the set {7,8,9} makes the inequality 2x−3<15 true.
Answers
Answer: 7- true 8- true 9- false
Step-by-step explanation:
Plug in the values, if they are less than 15, then it is true:)
help don`t understand
Answers
Answer:
10 square units
Step-by-step explanation:
In triangle XYZ, m∠Z = (5m − 16)° and the exterior angle to ∠Z measures (3m + 12)°. Determine the value of m.
m = 3
m = 10.8
m = 18
m = 23
Answers
Answer:
Step-by-step explanation:
Each Exterior angle = 180° - Interior angle.
(3m + 12)° = 180° - (5m − 16)°
Then solve algebraically:
\(3m+12=180-5m-16\)
\(3m+12=-5m+164\)
\(8m+12=164\)
\(8m=152\)
m = 19
The value of m will be 23.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle XYZ,
⇒ m ∠Z = (5m − 16)°
And, the exterior angle to ∠Z measures (3m + 12)°.
Now,
Since, The sum of angle and its exterior angle in a triangle will be 180°
Hence, We can formulate;
(5m − 16)° + (3m + 12)° = 180
Solve for m as;
5m - 16 + 3m + 12 = 180
8m - 4 = 180
8m = 180 + 4
8m = 184
m = 23
Thus, The value of m will be 23.
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