The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 259ft per hour. The tortoise takes 8hrs longer than the hare to finish. a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answers
Answer:
Step-by-step explanation:
1). Let the distance of the race = x feet
Speed of hare = 250 feet per hour
If it takes the time to complete the race = t hours
Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
250 = [tex]\frac{x}{t}[/tex]
t = [tex]\frac{x}{250}[/tex]
2). Speed of tortoise = 50 feet per hour
Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]
So the equations will be,
t = [tex]\frac{x}{250}[/tex] -------(1)
[tex]t_1=\frac{x}{50}[/tex] -------(2)
3). Since, tortoise took 8 hours longer than hare,
[tex]t_1[/tex] - t = 8
[tex]\frac{x}{50}- \frac{x}{250}=8[/tex]
[tex]\frac{(5-1)x}{250}=8[/tex]
[tex]\frac{4x}{250}=8[/tex]
x = [tex]\frac{250\times 8}{4}[/tex]
x = 500 feet
Related Questions
180 miles in 4 hours at what rate how long will it take to drive 270 miles
Answers
Answer:
6
Step-by-step explanation:
180 / 4 = 45
45mi = 1hr
270 / 6 = 45
What is the answer to the question?
Answers
Answer:
exponential function i think
Step-by-step explanation:
Write an equation that is parallel to y=3x+5 and passes through the point (-4,-13).
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
Please let me know if you want me to add an explanation.
y = 3x + 5
m = 3 but its parallel so m =-¹/₃
y-y₁ = m (x-x₁)
y - (-13) = -¹/₃ (x-(-4) )
y + 13 = -¹/₃ (x+4)
y + 13 = -¹/₃x - ⁴/₃
y = -¹/₃x - ⁴/₃ -13
y =-¹/₃x - ⁴³/₃
Plzzz helpppppp!!!!!!
Answers
Answer:
(c) [tex]h(3) = 1[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Find h(3)
The formula to use in solving this is:
[tex]y = h(x)[/tex]
Substitute 3 for x
[tex]y = h(3)[/tex]
From the attached graph, the value od x = 3 points to the value of y = 1.
So, we have:
[tex]y = 1[/tex]
What is 23% over a 100
Answers
Answer:
0.0023 or 23 / 10000
Step-by-step explanation:
23% = 0.23
0.23 / 100 = 0.0023
Answer:
23
Step-by-step explanation:
anything over 100 s a percent
like 15/100 is 15%
Geometry A. In unit 2, you learned three different criteria for proving triangle congruence: ASA, SAS, and SSS. Can you give me the summarize each of them for me? 100 POINTS
Answers
Answer:
we use the ASA when a triangle is conguerent by angle,side,angle.
SAS se when atriangle is conguerent by side,angle,side
sss when the triangle is conguerent by side,side,side
Answer:
ASA- The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
SAS- is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
SSS- If two triangles are congruent it means that all corresponding angle pairs and all corresponding sides are congruent. The SSS criterion for triangle congruence states that if two triangles have three pairs of congruent sides, then the triangles are congruent
Step-by-step explanation:
Sweet Orange
$1.29/lb
What's the final price of 8 pounds of oranges? Assume that the tax is regular and that your
membership gives you an extra 10% off. *
Answers
10.32x10%
10.32x0.10=1.03
10.32-1.03=9.29
I need to know the answer ASAP
Answers
Q2) Four O’clock
Whoever is awake I need help with math points and brainlest
Answers
Answer:
the first one or A. hope this helps.
Step-by-step explanation:
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answers
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
Subtract 7−5x from 2−3x . What is the difference?
Answers
Answer:
7−5x from 2−3x
Step-by-step explanation:
you flip them and get 2−3x 7−5x. try it that way...
i forgot to bring a piece of paper, im on the road
3 How many more cake
pops does the neighbor need to sell so that Callie can make a
profit of $5.00? Show
your
work.
Answers
Answer:
you didint explainded well
Step-by-step explanation:
How many boxes did Lamar sell?
How many boxes did Jina sell?
Answers
Which graph represents the function f(x) = 4|x|?
Answers
Answer:
The 2nd one
Step-by-step explanation:
It is a compression, because you are multiplying by a whole number greater than 1, therefor the line will look thinner
Find the quotient: 68/6
Answers
Answer:
The answer is 11. 2 is the remainder
Step-by-step explanation:
hope this helps
A bag contains 4 red, 3 green, 2 yellow marbles. One marble is randomly chosen. What is the probability that the marble picked is red?
Answers are
A. 4/5
B.1/4
C. 1/3
D.4/9
Answers
Answer:
D
Step-by-step explanation:
total marbles
9
red marbles- 4
so prob is 4/9 or D
if my answer helps please mark as brainliest
Answer:
D
Step-by-step explanation:
4+3+2= 9
4 of the 9 are red and we can not simplify.
Hi! Please i need your help!. Thank you to those who help and answer correctly
Answers
Answer:
I believe there are 5
Step-by-step explanation:
if there are 4 friends and Mary then that makes 5 people in total.
A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each
Answers
From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answers
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
The tax on a $50 item is $3.00.
Find the tax on a $140 item.
Answers
Answer:
The tax is 6% of the item. 140*0.06=$8.40
Step-by-step explanation:
Answer:
$8.40
Step-by-step explanation:
3÷50=.06
.06*140=8.4
Calculate the value of x
35 degree 2x+16 4x+3
Answers
PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
a) 33
B) 65?
C) 60?
D) Becuase its the same shape just smaller.
E) 14, its cut in half
Step-by-step explanation:
be careful if you use these, its been a while since I geometry.
Simplify
(5 - 4x) (6 + 7x)
Answers
Answer:
30+11x−28x2
Step-by-step explanation:
it is 30+11x-28x2
Which set of values for x makes the inequality 12−x<7 true
Answers
Answer:
[tex]\{x:x>5\}[/tex]
Step-by-step explanation:
Given
[tex]12 - x < 7[/tex]
Required
Values of x that make it true
First: solve the inequality.
[tex]12 - x < 7[/tex]
Collect Like Terms
[tex]- x < 7-12[/tex]
[tex]- x < -5[/tex]
Multiply both sides by -1
[tex]-1 * - x < -5 * -1[/tex]
[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value
So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)
Hence, the set is:
[tex]\{x:x>5\}[/tex]
What type of function is f(x)=2(1/7)^x?
Linear
Exponential Decay
Exponential Growth
None of the Above
Answers
Answer:
B) Exp. Decay
Step-by-step explanation:
Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.
The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Function; f(x)=2(1/7)^x
Now,
The function has the form f(x)=abx
where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.
Therefore, by the given function the answer will be Exponential Decay.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Can you explain to me how to solve this?
Answers
The area of a circle is 9πft^2. What is the circumference in feet?
Answers
Answer:
98
Step-by-step explanation:
Answer:
6π ftStep-by-step explanation:
Area:
A = πr²Circumference:
C = 2πrSubstitute values in area:
πr² = 9πr² = 9r = 3 ftCircumference is:
C = 2π*3 = 6πsketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3.
Answers
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answers
Answer: 12
Step-by-step explanation:
0.3 - 0.04 = i need it ASAP