B
An athlete ran uphill at 3 metres per second for x seconds , downhill
at 6 metres per second for y seconds and covered a total distance
of 375 metres . If the athlete took 5 seconds longer to run uphill than
downhill, calculate the values of xandy.
(5)
Answers
Step-by-step explanation:
- The distance traveled to get to the top of the hill will be equal to the distance traveled to get to the bottom of the hill. Distance down the hill = Distance up the hill = 187.5 meters.
- Only the speed of going up the hill and down the hill will be different.
Related Questions
Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59
+
63
4
minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?
Answers
Answer:
it is rational
Step-by-step explanation:
trust me
The following figure shows AABC with side lengths to the nearest tenth.
C
48
6
71
A
B
Find AB in AABC.
Round to the nearest tenth.
Answers
Answer:
AB = 4.7 to the nearest tenth
Step-by-step explanation:
Usine the Sine Rule:
6/sin71 = AB/sin48
AB = (6 * sin48)/ sin71
= 4.716
Which of the following represent the value of the missing side? Round to the nearest tenth.
A. 2.0
B. 2.5
C. 2.9
D. 3.0
Answers
Answer:
x=2.0
Step-by-step explanation:
Assuming side x is tangent to the circle, we know that this is a right triangle
One of the sides is the radius. We know the radius is 1.5 units long
The other is 1.5+1 units. The length of this side is 2.5 units.
Using the pythagorean theorem...
x²+1.5²=2.5²
x²=6.25-2.25
√x²=√4
x=2
Hope this helps!
HELPPPPP
Three students are randomly selected from 10 students of different weights.
Find the probability that the heaviest one out of the selected students is the 4th heaviest among the 10 students.
Answers
Answer:
3/100
Step-by-step explanation:
3 students out of 10 were chosen and the fourth heaviest is 1/10
3/10 * 1/10 = 3/100
You deposit 2,000$ in a savings account earning 5% simple interest. How long will it take for ythe balance of the account to be 3,800$
Answers
Answer:
1 year and a half or 18 months
Step-by-step explanation:
Write an equation in slope intercept for for the like with slope -3/5 and
y-intercept -3
Answers
Answer:
An equation for the slope and y-intercept would be y=-3/5x-3
Step-by-step explanation:
Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.
Answer:
y = -3/5x - 3
Explanation:
The format of slope-intercept is:
[tex]\sf{y = mx + b}[/tex]
Where:
m = slopeb = y-interceptSo to write the equation, I just plug the data into y = mx + b:
[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]
Hence, the equation is y = -3/5x - 3.
help me with this question please
Answers
Answer:
I'm sorry I don't know wish I could help you out
Can anyone help me on this?
Answers
Answer:
Out of the two sums, B is the closest to the value to 1/2.
Steps for A:
Change 1/3 to 5/15
2+5/15
= 7/15
7/15 as a decimal: 0.46
0.50 - 0.46 = 0.04
Steps for B:
Change 6/7 to 18/21
Change 1/3 to 7/21
18-7/21
= 11/21
11/21 as a decimal: 0.52
0.52 - 0.50 = 0.02
Please answer. I need it to be right.
Answers
Answer:
75
- _____________
10x^4−27
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we do all brcakets becuase we are following the law of BODMAS.
2×-5×3 = -10×3= -30
Now we do all powers and indices:
-5²= 25
10²= 100
3³ = 27
Now we do the top of the fraction:
25+100 = 125
Now we do the bottom bit of the fraction:
-30+27 = -3
Now we divide 125 by -3:
-41 2/3
-41.666.....
Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?
Answers
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
49
Step-by-step explanation:
So, you can just do 245x1/5.
I got 1/5 from "how many did she LOSE?"
5/5-4/5=1/5.
She lost 49 games.
Ms. Pearson kept track of student absences versus final average grades in her math dass for one semester, The
data is shown in the table below
Answers
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
When do variables have a linear relationship?The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
To learn more about linear functions, please check: https://brainly.com/question/26434260
How do you find perimeter?
Answers
for the following question, true or false.
Answers
Answer:
False
Step-by-step explanation:
You can't add without first doing the terms of 2^3---(PENDAS)
Which transformations take the graph of f(x) = e^x to the graph of g(x) = e^x+2 + 3 will mark Big brain
Answers
Transforming the function f(x) would change its formula to g(x)
The transformation of f(x) to g(x) are
Transform the function 2 units leftTransform the function 3 units upHow to determine the transformation?The function is given as:
f(x) = e^x
Shift the function 2 units left
f'(x) = e^x + 2
Shift the function 3 units up
f''(x) = e^x + 2 + 3
Rewrite as:
g(x) = e^x + 2 + 3
Hence, the transformation of f(x) to g(x) are (b) and (c)
Read more about transformation at:
https://brainly.com/question/4057530
Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?
Answers
Answer: <C = 63°
Step-by-step explanation:
The interior angles in all triangles always equal 180°
47 + 70= 117
180 - 117 = 63°
<C = 63°
hope this helps :)
Find the distance between (-3, -4) and (2, -4)
Answers
Answer:
[tex]\boxed{\sf{5}}[/tex]Step-by-step explanation:
Distance can be calculated using a distance formula.
⇒ (-3,-4) and (2,-4)Distance formula:
[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
The distance between (-3,-4) and (2,-4) are:
[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]
Then, you solve.
[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]
Therefore, the distance between (-3,-4) and (2,-4) is 5, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.
Answers
Answer:
No
Step-by-step explanation:
x + 1 is not a factor of the polynomial because the remainder is 2 and not 0
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
Answers
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: https://brainly.com/question/27170515
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answers
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
what would be the answer for a triangle with a hypotenuse of 7 and a leg of 5
Answers
Answer:
With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse
Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.
helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answers
Answer:
815.76 is your answer
Step-by-step explanation:
Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?
Answers
Answer:
6.75
Step-by-step explanation:
729=1/2*216h
729=108h
h=6.75
I think idrk
59+55+854+456+456+7894
Answers
Answer :
59+55+854+456+456+7894=9,774
A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth
Answers
Answer:
9.4
Step-by-step explanation:
Hey there!
The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000
In order to answer this, we need to make 7,000 equal to the equation:
7000=5000+5000(0.0425t)
Subtract 5000 from both sides
2000=5000(0.0425t)
Now we simplify the RHS
2000 = 212.5t
Now you divide both sides by 212.5 to get t by itself
t=9.41
So it would take 9.4 months for the loan amount to reach 7000
If a system has no solution, how does it look on the graph? What about infinite solutions?
Answers
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.Solve the equation 2×-31=3(×+2)
Answers
Answer:
x=-37
Step-by-step explanation:
First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2*x-31-(3*(x+2))=0
(2x - 31) - 3 • (x + 2) = 0
Pulling out like terms
3.1 Pull out like factors :
-x - 37 = -1 • (x + 37)
Equation at the end of step
-x - 37 = 0
Solving a Single Variable Equation:
4.1 Solve : -x-37 = 0
Add 37 to both sides of the equation :
-x = 37
Multiply both sides of the equation by (-1) : x = -37
Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $_____
Answers
Answer:
$22.11. $23.41. $23.79.
Step-by-step explanation:
2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.
Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.
Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some
The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?
Answers
Answer:
14.7÷41.4=0.355
the answer is 0.355
7/6 x 4/5 = in simplest form
Answers
Answer:
heyy do you still need help
Step-by-step explanation:
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.
Answers
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
https://brainly.com/question/13502804