It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route walking at a rate of 2.8 mph?
plz give exact answer
Answers
3.5 hrs * 4.2 mph = 14.7 mi
t = S/V
14.7 mi/ 2.8 mph = 5.25 hrs
Related Questions
1. the temperature in Montreal was -8C in New York the temperature was 11C. How many degrees warmer was the temperature in New York?
2. mike deposited $200 in to his bank account. He then wrote checks for $20 and $30. The he deposited $40 dollars more. Which of the following represents the changes in the value of mike's account?
Answers
2.200-(20+30)+(40)=190
add the absolute values |-8| + 11 = 19
2. The change in Mike's value is -10
(or 190, if you need the final value)
he is subtracting 20 + 30 (50)
he is adding +40 to the -50 (-10)
hope this helps! have a great day.
Which is a graph of f(x)=4(1/2)x
Answers
y=ab^x
Where a is the y-intercept/starting point and b is the value that x exponentially grows or decays.
From the given equation, the two graphs with other intercepts (not 4) can be removed.
Since b is between 0 and one, this function should be decaying.
Next calculate the value of x when y=1.
1=4(0.5)^x
1/4=(1/2)^x
log₀₋₅(1/4)=x
2=x
Check which of the graphs have y=1, x=2. This would be the second graph, which would represent the equation y=4(0.5)^x
Hope I helped :)
In this exercise we have to be aware of the type of graph we have and identify its formula, like this:
The second graph
As it is a graph of the equation of an exponential, we have that its form is given by:
[tex]y=ab^x[/tex]
Where:
y-intercept/starting point b is the value x exponentially grows or decays.Calculating the value of X when Y is equal to 1, we have:
[tex]1=4(0.5)^x \\1/4=(1/2)^x \\log_{0.5}(1/4)=x \\x=2[/tex]
See more about graphs at brainly.com/question/14375099
What conversion factor fraction is used to convert inches to feet?
Answers
Answer:
C
Step-by-step explanation:
Notice that on C 24:2, 48:4 72:6, etc
Which of the following is the coefficient in the algebraic expression 22y3 + z
Answers
Answer:
Step-by-step explanation:
the Coefficient is 22 because its attached to the variable Y
in need some help this question please answer all my point on the line
Answers
5) It is R and S, and i believe the answer is C, converse of alternate interior angles theorem
hope this helps
Two tourists went on a hike at dawn. One went from a to b and another one went from b to a. They met at noon but did not stop and continued walking maintaining same speed for the whole trip. One finished his hike at 4pm in B and another one came to A at 9 pm. At what hour was dawn that day?
Answers
If a+bi is a zero of a function and the coefficients of the polynomial are real, what will be the other complex zero of the function?
1. -a + bi
2. a - bi
3. -a - bi
4. a
Answers
now, complex roots never come all by their lonesome, her sister, the conjugate, is always along with her, so if the root a + bi is there, then her sister a - bi is also there too.
A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential growth formula. round your answer to the nearest million. P=Ae^kt
Answers
P₀ = 94 million in 1993
The growth formula is
[tex]P(t) = P_{0}e^{kt}[/tex]
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.
Because P(5) = 99 million (in 1999),
[tex]94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367[/tex]
In the year 2005, t = 12 years, and
[tex]P(12)=94e^{0.010367*12} = 106.45[/tex]
Answer: 106 million (nearest million)
Write the equation of a line in slope intercept form that goes through the point (-2,10 with a slope of -3
Answers
Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y-10=-3(x+10)[/tex]
Solve.
[tex]y-10 = -3(x+10) y-10=-3x - 30 + 10 --------+10 y= -3x - 20 = y = m(x) + b = Slope intercept form. [/tex]
Thus, the answer is: [tex]y=-3x-20[/tex]
Solve for n.
3(n+6)≥3n+8
no solution
all real numbers
n≥7
n≥23
Answers
Start by distributing....
3n + 18 ≥ 3n + 8
Subtract 3n from both sides to get the n's on the same side....
18 ≥ 8
There are no solutions because 18 is not less than or equal to 8
Answer:
The correct option is B) all real numbers.
Step-by-step explanation:
Consider the provided inequity.
[tex]3(n+6)\geq 3n+8[/tex]
We need to solve the inequity for n.
[tex]3(n+6)\geq 3n+8[/tex]
[tex]3n+18\geq 3n+8[/tex]
Subtract 3n from both sides
[tex]3n-3n+18\geq 3n-3n+8[/tex]
[tex]18\geq 8[/tex]
Which is true for any real number. As 18 is greater than 8.
Hence, the value of n is all real numbers.
Thus the correct option is B) all real numbers.
The coordinate grid below shows triangle ABC and it's image after translation, triangle A'B'C':
Which of the following completes the rule for this translation, (x,y)>(x+4,__)?
y+4
y+2
y-4
y-2
Answers
Answer:
First option : y+4Step-by-step explanation:
Given triangle ABC and a translated triangle A'B'C'.
Coordinates of triangle ABC are
A(-1,-1)
B(-3,-3) and
C(2,-2).
Coordinates of triangle A'B'C' are
A'(3,3)
B'(1,1)
C'(6,2).
Let us check the translation is being applied there.
A(-1,-1) ---> A'(3,3)
We can see that A(-1,-1) ----> A'(-1+4, -1+4) to get (3,3).
Therefore, (x,y) ---> (x+4,y+4) rule is being applied there to get the translated triangle A'B'C'.
So, the correct option is first option:
y+4what is the true hourly wage of a job that pays $18 per hour and allows 20 hours of paid time off for every 500 hours worked ? show your work
Answers
The true hourly wage of a job is:
$ 18.72 per hour
Step-by-step explanation:The pay per hour is: $ 18
Also, it is given that: The job allows 20 hours of paid time off for every 500 hours worked.
This means he will be paid for 520 hours of work
but the true hourly wage will be calculated on the basis of 500 hours.
The wage for 520 hours of work will be: $ (18×520)= $ 9360
and the true hourly wage is:
Ratio of wage for 520 hours to 500 hours
i.e.
[tex]=\dfrac{9360}{500}\\\\\\=\dfrac{936}{50}\\\\=\$\ 18.72\ \text{per\ hour}[/tex]
Mr. furley has 27 coins that are all dimes and quarters. the value of the coins is 4.35. how many dimes and how many quarters does mr. furley have
Answers
B) .10d + .25q = 4.35
Multiplying equation A by -.1
-.1d -.1q = -2.7 then adding it to equation B
.1 d + .25q = 4.35 equals
.15q = 1.65
The number of quarters = 11
putting 11 quarters into equation A
d + 11 = 27
dimes = 16
Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.
Answers
The measure of the angle in question is 18 degrees, as found by setting up an equation based on the relationship between an angle and its complement, and solving for the angle.
To find the measure of an angle that is 18 degrees less than one-half of the measure of its complement, first let's define the angle as x. Since the angle and its complement add up to 90 degrees, the complement is 90 - x. The given information tells us that x is 18 degrees less than half of its complement. Therefore, we can set up the equation:
x = (1/2)(90 - x) - 18
Doubling both sides gives:
2x = 90 - x - 36
Adding x to both sides and adding 36 to both sides gives:
3x = 54
Dividing by 3, we find that:
x = 18 degrees.
Therefore, the measure of the angle is 18 degrees.
You have a $50 bill. you and your friend ordered two cheeseburgers for $4.25 each, two fries for $1.28 each, and two colas for $1.98 each. including 4% sales tax and 15% tip, what is the change you will receive from $50?
Answers
Answer: 32.13
Step-by-step explanation:
Answer:
The answer is: $32.13
Which biconditional statement is true?
A. A number is divisible by 9 if and only if it ends in 3.
B. A quadrilateral is a square if and only if it has four right angles.
C. The sum of two integers is positive if and only if the two integers are positive.
D. A number is an even number if and only if it is divisible by 2
Answers
A, A number is divisible by 9 if and only is it ends in 3.
23/9 is not divisible.
FALSE
B. A quadrilateral is a square if and only if it has four right angles.
A rectangle is a quadrilateral with four right angles, but it is not a square.
FALSE
C. The sum of two integers is positive if and only if the two integers are
positive.
12 + (-10) = 2 (positive).
FALSE
D. A number is an even number if and only if it is divisible by 2.
Thi is true by definition.
TRUE
Answer: D
Among the given options, the true biconditional statement is Option D: A number is an even number if and only if it is divisible by 2. This matches the true nature of a biconditional statement where both parts must have the same truth value.
The question posed is concerned with identifying the true biconditional statement among the given options. A biconditional statement is true if and only if both parts have the same truth value. We'll examine each option carefully.
Option A: A number is divisible by 9 if and only if it ends in 3. This statement is false because divisibility by 9 depends on the sum of the digits of the number, not just the last digit.Option B: A quadrilateral is a square if and only if it has four right angles. This statement is not entirely true because a rectangle also has four right angles but is not necessarily a square.Option C: The sum of two integers is positive if and only if the two integers are positive. This is false because the sum can also be positive if one integer is sufficiently larger than the negative of the other one.Option D: A number is an even number if and only if it is divisible by 2. This is a true biconditional statement. A number is considered even if it can be divided by 2 without leaving a remainder (with both having the same truth value).After reviewing the options, the correct answer is Option D.
Evaluate -8 × |2|.
-10
10
-16
16
Answers
-8 * 2 =
-16 <==
The original price of the DVD is nine dollars the sale price is 80% of the price what is the sale price of the DVD?
Answers
multiply $9 by 80%
80% = 0.80
9 * 0.8 = 7.20
subtract that from original price
9 - 7.20 = 1.80
Sale price is $1.80
DVD: $9.00 originally but on sale with an 80% discount.
80%=0.80
9.00(0.80) = $7.20
$9.00 - $7.20 = $1.80
Thus, the sales price is: $1.80
The mass of the sun is about 2x10^27 metric tons or 2x10^30 kilograms. How many kilograms are in one metric ton
Answers
Calculate δe, if q= 0.769 kj and w= -860 j .
Answers
The change in internal energy (δe) of the system, calculated using the first law of thermodynamics, and considering that the heat and work quantities are converted to the same unit, is 1629 J.
Explanation:The query you've presented seems to be about the first law of thermodynamics, which states that the change in internal energy (ΔE or in your notation, δe) of a system is equal to the heat (q) added to the system minus the work (w) done by the system. Both heat and work quantities need to be in the same units for this calculation, whereas your values are given in different units: kJ for heat and J for work. To facilitate this calculation, let's first convert the heat quantity from kJ to J (1 kJ equals 1000 J).
So, q = 0.769 kJ = 0.769 * 1000 J = 769 J.
Given, w = -860 J.
Now, according to the first law of thermodynamics, δe = q - w.
Substituting the given values, we get δe = 769 J - (-860 J) = 769 J + 860 J = 1629 J.
Therefore, the change in internal energy, δe, is 1629 J.
Learn more about First Law of Thermodynamics here:https://brainly.com/question/34644078
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What are the roots of the quadratic equation 0 = 2x^2 + 12x –14?
2, 12, –14
–7, 1
–1, 7
1, 6, –7
Can you explain what it is wanting or asking?
Answers
Answer:
-7, 1
Step-by-step explanation:
Given quadratic equation,
[tex]2x^2+12x-14=0[/tex]
By middle term splitting,
[tex]2x^2+(14-2)x-14=0[/tex]
[tex]2x^2+14x-2x-14=0[/tex]
[tex]2x(x+7)-2(x+7)=0[/tex]
[tex](2x-2)(x+7)=0[/tex]
By the zero product property,
[tex]2x-2=0\text{ or }x+7=0[/tex]
[tex]\implies x=1\text{ or }x=-7[/tex]
Hence, the roots of the given equation are -7 and 1.
Second option is correct.
Which of the following elements is the most reactive?
Chlorine
Bromine
Fluorine
Helium
Answers
You need to strengthen a 19% alcohol solution with pure alcohol solution to obtain 40% solution. How much pure alcohol should you add to 100 milliliters of the 19% solution.
Can anyone solve this problem???
Answers
I will add the mm to express the volume in mm
100mm.(19%) + (100%).x mL = (100 mL+x mL).(40%).
Now right again without the %
100.(0.19) + x.(1) = (100+x).(0.4)
19 + x = = 40 + 04x
x - 0.4x = 40 - 19
0.6 x = 21
x = 21/0.6 and x = 35 mL. This te quantity of pure alcohol should to be added to get a solution at 40%.
What is the value of x?
Enter your answer in the box.
Answers
Answer:
x = 9 and y = 5
Step-by-step explanation:
From the given figure :
In ΔLNM ,
LN = NM = LM
This shows that all the sides of the triangle are given to be equal.
And the triangle whose all sides are equal is called equilateral triangle and in an equilateral triangle the measure of its each angle is 60°
⇒ ∠L = ∠N = ∠M = 60°
Now, ∠N = 60°
⇒ 7x - 3 = 60
⇒ 7x = 63
⇒ x = 9
Also, ∠M = 60°
⇒ 11y + 5 = 60
⇒ 11y = 55
⇒ y = 5
Answer: x=9
Step-by-step explanation:
i did the test and got it right lol
There are 5 red marbles four blue marbles and three yellow marbles in a bag what is the probability of a blue marble being randomly chosen
Answers
amount of blue marbles : 4
4/12 = 1/3 or 33%
the probability of choosing a blue marble 1/3 or 33%
simplify 7-(-12)-5
a -10
b 0
c 14
d 24
Answers
PEMDAS
7-(-12)-5
7-7=0
=0
So your answer will be B 0.
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. how long will it take the pipe to fill the pool if the drain is left open?
Answers
a drain can empty the pool in 9 hours, means: every hour the pool is drained 1/9
If the inlet and the drain are both left open, every hour the pool is filled 1/6-1/9=1/18
It will take 18 hours to fill up the pool.
Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints at M1 (2,16) and M2 (-3,5). What's the distance between M1 and M2?
Answers
(2,16)...x1 = 2 and y1 = 16
(-3,5)...x2 = -3 and y2 = 5
time to sub and solve
d = sqrt ((-3 - 2)^2 + (5 - 16)^2)
d = sqrt ((-5^2) + (-11^2))
d = sqrt (25 + 121)
d = sqrt 146
d = 12.08 <=
Answer:
12.08 units.
Step-by-step explanation:
We have been given that line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints at [tex]M_1 (2,16)[/tex] and [tex]M_2 (-3,5)[/tex].
To find the distance between [tex]M_1[/tex] and [tex]M_2[/tex] we will use distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
[tex]x_2[/tex] and [tex]x_1[/tex] are x-coordinates of two points.
[tex]y_2[/tex] and [tex]y_1[/tex] are corresponding y-coordinates of two points.
Let [tex]M_2[/tex] our first point, then [tex]x_1=-3[/tex] and [tex]y_1=5[/tex].
Let [tex]M_1[/tex] will be our second point, then [tex]x_2=2[/tex] and [tex]y_2=16[/tex]
Upon substituting coordinates of point [tex]M_1[/tex] and [tex]M_2[/tex] in distance formula we will get,
[tex]\text{Distance}=\sqrt{(2--3)^{2}+(16-5)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{(2+3)^{2}+(11)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{(5)^{2}+(11)^{2}}[/tex]
[tex]\text{Distance}=\sqrt{25+121}[/tex]
[tex]\text{Distance}=\sqrt{146}[/tex]
[tex]\text{Distance}=12.0830459735945721\approx 12.08[/tex]
Therefore, distance between [tex]M_1[/tex] and [tex]M_2[/tex] is 12.08 units.
What z-score values form the boundaries for the middle 60% of a normal distribution??
Answers
Can I get some help on these please ?
Answers
Divide each distance by its time to find the speed for each driver.
T: 380 km / 4 hr = 95 km/h
M: 530 km / 5 hr = 106 km/h
Martine's average speed was greater.
Q2
Bronze to aluminum is 25:2
The alloy is bronze plus aluminum, so by adding 25 + 2 you get 27.
Bronze to total is 25:27
25 is 27 as x is to 55
25/27 = x/55
27x = 25 * 55
x = 50.926
Answer: 50.926 kg of bronze
Q3
Manipulative toys to art toys is 30:40
Total toys = 30 + 40 = 70
manipulative toys are 30 out of 70
30/70 * 100 = 42.9%