Answer:
The time the trip takes Kelly is approximately 34 minutes
Step-by-step explanation:
The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;
[tex]Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}[/tex]
The given parameters of the journey are;
The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes
The speed with which Mike travels = 60 miles an hour
The speed with which Kelly travels the same trip = 80 miles an hour
Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly
For Mike, we have;
S = d/t
∴ d = S × t
Where;
S = 60 miles per hour
t = 45 minutes = 0.75 hour
d = 60 miles/hour × 0.75 hour = 45 miles
The distance from point 'a' to point 'b' = d = 45 miles
Similarly, from S = d/t, we have for Kelly the time 't' given as follows;
t = d/S
Where;
S = 80 miles/hour
d = 45 miles
∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes
The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.
Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?
Answer: $13,925
Step-by-step explanation:
Tommy makes $200,000 per year.
He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.
His total taxes are therefore:
= 10% + 4.2% + 1.75% + 0.5%
= 16.45%
Taxes in dollars are:
= Monthly salary * taxes
= (200,000/12 months) * 16.45%
= $2,741.67
Monthly take home pay:
= Monthly salary - monthly tax
= 200,000 / 12 months - 2,741.67
= 16,666.67 - 2,741.67
= $13,925
When a number is added to itself the result is 49.
Answer:
24.5
Step-by-step explanation:
24.5 + 24.5 = 49
What is the lowest common denominator of the following two fractions?
1/9 and 1/6
Answer:
18
Step-by-step explanation:
I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)
Answer:
24
Step-by-step explanation:
helppp! doing test!!
Answer:
Can you show more of the question?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Basically, division. divide 85.60 by 4 in order to get each hour.
Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.
(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?
Answer:
(a).4.36 mph
(b) No
Step-by-step explanation:
We are given that
Jan covered distance,s1 =2 miles
Speed of Jan, a=3 mph
s2=1 mile
b=8mph
a.
We have to find the Jan' s average speed for the entire trip.
Average speed =[tex]\frac{2ab}{a+b}[/tex]
Using the formula
Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]
b.
Average speed with two speed
Average of Jan’s two speeds
[tex]=\frac{a+b}{2}[/tex]
=[tex]\frac{3+8}{2}=5.5 mph[/tex]
[tex]4.36\neq 5.5[/tex]
Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.
given that x is an odd integer and 2y is an even integer which of the following must be true
Answer:
K
Step-by-step explanation:
K
Hope that helps!
If x is an odd integer and 2y is an even integer then K. 2y x is odd.
What are some concepts related to arithmetic operations of odd and even numbers?Odd + Odd = Even.
Odd + Even = Even + Odd = )dd.
Even + Even = Even.
Odd × Odd = Even.
Even × Even = Even.
Odd × Even = Even × Odd = Odd.
Odd ÷ Odd = Even.
Even ÷ Odd = Even Or Odd.
Odd ÷ Even = Fraction/Decimal.
Given, x is an odd integer and 2y is an even integer.
So, y can be even or odd we are not sure.
Therefore, the only option that must be true is 2y + x is odd.
learn more about odd and even numbers here :
https://brainly.com/question/28721864
#SPJ2
What is the independent and dependent variable in this problem?
Answer:
The height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
Step-by-step explanation:
We know that the function
y = f(x)
where y is a function of x.
Here:
The input variable 'x' is called the independent variableThe output variable 'y' is called the independent variable because the value of output y depends upon the value of the input 'x'.Given the function of the height of the ball as a function of time is modeled by the equation
h(t) = -16t² + 90t + 5
As the height of the ball depends upon the time as the height of the ball is a function of time.
Thus, the height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
What is the volume of the right triangular prism shown?
get it right for brainlist
Answer:
V = 567 yd³
Step-by-step explanation:
V = [tex]\frac{1}{2}a c h\\[/tex]
V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]
V = 567 yd³
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
Write a small statement to convince others of the importance of food safety
Answer:
Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.
ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48
Answer:
b) 22
Step-by-step explanation:
180 = (4x+12) + (3x+14)
180 = 7x + 26
7x = 154
x=22
the wavelength of yellow light in a spectrum is about 0.000002 inches
Answer:
the answer is C:
[tex]2 \times 10 { - }^{4} [/tex]
Step-by-step explanation:
I hope this helps! ^^
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Hi! hope youre having a nice day! i was just wondering if you could make my day nice? pleaseeee! its very simple but ive been struggling. thank you so much! and i hope its enough points for you! and please no scams!
Answers:
11. b. 4x + 2
12. c. 25(x + 2)
13. b. 8gh
14. a. 10(5x + 1)
15. a. 2x + 2
16. c. 4 units by (2x - 3)
17. c. 6(x + 10)
18. c. 5r + 35
19. b. Identity Property of Addition
Brainliests are always appreciated but not required :)
Answer:
11.
(x+4)+(3x-2)
x+3x+4-2
4x+2
12.
25x+50
25(x+2)
13.
16gh, 56gh
8gh
14.
50x+10
10(5x+1)
15.
(14x-2)-(12x-4)
14x-2-12x+4
2x+2
16.
8x-12
4(2x-3)
17.
6x+60
6(x+10)
18.
5(r+7)
5r+35
19.
This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.
Let me know if this helps!
Find the value of x so that the function has the given value.
n ( x ) = 4x + 15; n ( x ) =7
plz help
Answer:
n(x)=4x+15;n(x)=7
n(7)=4(7)+15
=》n(7)=28+15
28+15=43
n(7)=43
Find the slope of the given point.
(19,3) (20,8)
Answer:
5
Step-by-step explanation:
as x goes up one y goes up 5
slope is change in y over changes in x
5/1=5
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)
Answer:
4t/9 + 18
Step-by-step explanation:
Will mark brainliest and rate 5/5 if answered right.
Answer:
a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]
b. [tex]100-25\pi[/tex]
Step-by-step explanation:
The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].
Name the central angle of the given arc.
i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
the triangles below are similar. find the value of the variable m
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:) Have a good day!
The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side
Answer:
1ft≤h≤25ft
Step-by-step explanation:
The area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeter, this is expressed as;
A ≤400
≤ means at most i.e it can not be greater than 400
Lh ≤ 400
Given L = 16
16h ≤ 400
h ≤ 400/16
h ≤ 25
Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
[tex]\frac{4}{x} =12[/tex]
[tex]4 = 12x[/tex]
[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]
Four divided by 1/3 equals 12.
Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
How was triangle A translated?
four units left
four units right
six units left
six units right
Answer: D is correct
Step-by-step explanation: Got a 100% on my test
The translation of triangle A is (d) six units right
The translation from triangle A to BTranslation involves changing the position of a shape
From the question, we understand that:
Triangle A represents the pre-imageTriangle A is shifted to the right by 6 unitsThis means that, triangle A was translated by 6 units to the right
Hence, the true statement is (d)
Read more about translation at:
https://brainly.com/question/4289712
Which expression is equivalent n + n - 0.24n?
Answer:
Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n
A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?
Answer:it is non proportional
Step-by-step explanation:
13 points so please help meee with a and b!
Answer:
(a)
$24.10,
$18.20,
$15.25,
$9.35,
$0.50,
(b)
b=30-2.95g
Step-by-step explanation:
Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50
b) b=30-2.95g
Which equation represents a proportional relationship?
y = 5x + 1
y=−5(x+1)
y=
1
5x
y=−x