Answer:
(96/5) mph, or 19.2 mph
Step-by-step explanation:
Average speed = (total distance traveled) / (total time elapsed)
Here we need to calculate the two elapsed times (going and returning)
Going: t1 = d/(24 mph)
Returning: t2 = d/(16 mph)
Less time is required for the outward bound trip.
16d + 24d
Total time elapsed: t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr
16*24
Thus, the average speed is (total distance traveled) / (total elapsed time)
2d
which here is --------------------- = (96/5) mph, or 19.2 mph
(5/48)d
If we take average speed into account in any direction, it equals (24 + 16) / 2 = 40 / 2 = 20mph.
What is average speed?Average speed is calculated by dividing a number by the time it takes to obtain that number. The SI unit of speed is meters per second.The average speed is represented by a scalar value. The magnitude indicates its absence of direction.Since this distances were the same, the average speed can be calculated directly by adding the speeds and dividing by 2. There is no need to weigh anything.If we consider speed in any direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However, if direction is important, one number must be negative because the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the circumstances, either of these could be your response.
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ADP (adenosine diphosphate) is made of one adenine base, one ribose sugar, and ____ phosphate
groups.
b. two
d. four
a.one
C.three
please help me with this
Answer:
D
Step-by-step explanation:
Kuta Software - Infinite Algebra 1
Finding Slope from a graph
Answer:
Step-by-step explanation:
please help me with this problem
Answer:
Step-by-step explanation:
Givens
The midpoint formula is (x2 + x1)/2 , (y2 + y1)/2 = x_mid,y_mid
y_mid = 1
x_mid = -1
y2= 4
x2 = 2
Solution
(2 + x1)/2 = -1
(2 + x1) = -1 * 2
2 + x1 = -2
x1 = -2 -2
x1 = - 4
====================
(4 + y1)/2 = 1
4 + y1 = 2
y1 = 2 - 4
y1 = -2
Answer (-4,-2)
It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should they expect to attend?
7 and 10 is half
so we expect the people come to wedding half of 120÷2=60 people
i just try
How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)
Answer:
757,576cents
Step-by-step explanation:
Given
Amount = $10000
Time = 4years
Rate = 8%
n = 1/4 year (compounded quarterly
Using the formula to get the principal
A = P(1+r/n)^nt
10000 = P(1+0.08/0.25)^4(1/4)
10000 = P(1+0.32)
10000= 1.32P
P = 10000/1.32
P = 7575.76
Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents
What is t?
12t - 8t = -52
Answer: t=13
Step-by-step explanation:
Answer:
t=-13
Step-by-step explanation:
First solve:
12t -8t =4t
4t=-52
Next you must reduce both sides:
2t= -26
t=-13
The x-coordinate of point S' after the rectangle is dilated by a scale factor of 4 about the orgin is?
Please Help ASAP If you want brainliest and 5 fives and thanks and friends list
Answer:
D is the answer
Step-by-step explanation:
One-eighth of the students in the seventh grade are in the school band. There are 44 students in the school band. Find the number of students in the seventh grade.
Answer: the correct answer is 5.5 students, but their cannot be one half of a student
Step-by-step explanation:
There are currently 4,000 Rhinos left in the world and they are going extinct at a rate of 3.7% each year. How many Rhinos will be left 10 years? F left parenthesis t right parenthesis equals P open parentheses 1 plus-or-minus r over n close parentheses to the power of n t end exponent Your answer: 2744 Rhinos 39 Rhinos 2743 Rhinos 40 Rhinos
Answer:
2744 Rhinos left
Step-by-step explanation:
Given that,
There are 4,000 Rhinos left in the world i.e. initial amount of Rhinos, A₀ = 4,000
They are going extinct at a rate of 3.7% each year.
We need to find no of Rhinos left in 10 years. For this, we will use exponential decay rate equation as follows :
[tex]A(t) = Ao(1 - r)^t[/tex]
Here, A₀ = 4,000, r = 3.7% = 0.037, t = 10 years
Putting all the values, we get :
[tex]A(t) = 4000\times (1 - 0.037)^{10}\\\\=2743.61[/tex] (we can use calculator to find it)
A(t) = 2744 Rhinos
Hence, 2744 Rhinos will be left after 10 years.
So if the greatest common factor is 6, what would be the result of factoring 12n-18?
Convert the mixed fraction to a improper fraction. 2 4/9
Mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]
Define improper fraction.A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.
Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]
[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]
[tex]=\frac{22}{9}[/tex]
So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]
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The required improper fraction is x = 22/9
Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9
Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 . Proper Fractions = numerator < denominator
2 . Improper Fractions = numerator > denominator
3 . Mixed Fractions: fraction in the form x+ a/b
What is an improper fraction?An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a > b or 5/2 where 5 > 2.
Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9
Thus, the required improper fraction is x = 22/9
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What are the coordinates of point H? On a coordinate plane, point H is 1.5 units to the left and 3 units up. (Negative 3, 1 and one-half) (Negative 1 and one-half, 3) (1 and one-half, 3) (3, negative 1 and one-half)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
(Negative 1 and one-half, 3)
Using the given points, determine the slope.
(5, -6) and (2, 15)
Answer:
slope = - 7
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 6) and (x₂, y₂ ) = (2, 15)
m = [tex]\frac{15+6}{2-5}[/tex] = [tex]\frac{21}{-3}[/tex] = - 7
1. Write an equation with a variable that can be solved by first using addition, and then using division. In other words, to solve your equation, you should add a number to both sides, and then divide both sides by a number.
2. Solve your equation. Make sure to set your solution equal to the variable.
3. Explain how you got your answer.
Answer:
12x-4= 2
Step-by-step explanation:
12x-4= 2
Add 4 to both sides
12x= 6
divide by 12
x= .5
PLz help me answer this
write a function rule for the nth term of each arithmetic sequence help :{ these are three questiom which m trying to solve but i cant i really mean i cant
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the AP.
1.) For the first Sequence, d= 4
so we get as, an = a + (n-1) d
an = 9/2 + (n-1) 4
an = 9/2 +4n -4
=> an = 1/2 + 4n
2.) d = 3
=> an = 10/3 + (n-1) 3
so, => an = 10/3 +3n -3
=> an = 1/3 +3n
3.) d = -0.2
=> an = 1/2 +(n-1) (-0.2)
=> an = 1/2 -0.2n +0.2
=> an= 0.7 -0.2n
Help!!!!!!!!!!!!!!!!!!!!!
15 2/6 or 15 1/3 (simplest form) because 3x6+5=23/6 x 4/1 = 92/6 converted to mixed number is 15 1/3
what is 0.19/0.2 as a decimal
Answer:
There's 3 total decimal places in both numbers.
Ignore the decimal places and complete the multiplication as if operating on two integers.
1 9
× 2
+ 3 8
= 3 8 Rewrite the product with 3 total decimal places.
Answer = 0.038
Therefore:
0.19 × 0.2 = 0.038
Step-by-step explanation:
What is the slope of the line? -3x+5y=2x+3y
Answer: 5/2
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
for khan
Do you like cake ? Or cookies
Answer:
both
Step-by-step explanation:
Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.
How many more dollars will Amanda earn on each cake if she switches to the new material? Explain how you found your answer. (5 points)
Answer:
6
Step-by-step explanation:
Her profit will increase be 6 dollars.
x = 1
y = 45(1)
y = 45
The number of more dollars earned by Amanda if she switched to new icing will be $6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties
Given that Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.
The number of dollars will be calculated as,
y = 45x
For 1 cake the profit with new icing is,
y = $45
The more number in profit is calculated as,
P = 45 - 39
P = $6
Therefore, the number of more dollars earned by Amanda if she switched to new icing will be $6.
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What is the point of concurrency
Answer:
3 or more or lines intersect
The ratio of the measure of the three angles in a triangle is 2:9:4. Find the measures of the angle.
Answer:
Let the measures of three angles be 2x, 9x, 4x
Sum of the angles of a triangle = 180
2x+9x+4x = 180
15x = 180
x = 180/15 = 12
First angle = 2x = 2*12 = 24°
Second angle = 9x = 9*12 = 108°
Third angle = 4x = 4*12 = 48°
I hope it is helpful:D
Step-by-step explanation:
can someone please help. im running low on points.
Answer:
i think it's:: -6 11/21
Answer:
-6 11/21
Step-by-step explanation:
can someone pls help?
Answer:
1 serving to 4 oz of corn
Step-by-step explanation:
2/8 equals 1/4. 4/16 equals 1/4
Answer:
4 corn for every serving
Step-by-step explanation:
The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
(7-b)+(3b+2) find the sum
Answer:
9+2b
Step-by-step explanation:
add like terms
Find the value of each variable.
a = 6, b = , c = , d = 6
a = 6, b = , c = 2, d = 6
a = 6, b = , c = , d =
a = , b = , c = , d = 6
1
Answer:
Its 1
Step-by-step explanation:
Evaluate the expression when a =3 and c= 12.
I need help
Answer:
Step-by-step explanation:
What is the equation?
You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.
For the given values a=3 and c=12 the required expression is 4a-c=0.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The value of a = 3 (1)
And the value of c = 12 (2)
To determine the expression,
divide equation (1) and equation (2),
a/c = (3/12)
⇒a/c = 1/4
⇒4a=c
⇒4a-c = 0
The required expression is 4a-c=0.
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