Answer:
3.6 hours.
Step-by-step explanation:
Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Since they are moving in opposite directions to each other, let us first calculate the relative velocity.
Relative speed = 48 - 35 = 13 mph
Using the formula
Speed = distance/time
Substitute all the parameters into the formula
13 = 48 / time
Make time the subject of the formula
Time = 48 /13
3.69 hours.
Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.
Which choice shows 6+2+14 rewritten correctly using the commutative property and then simplified correctly?
Answer:6+14+2=20+2=22
Step-by-step explanation:6+2+14=22
In commutative property, the order of the addends is changed and the answer is simplified.
PLEASSSEEEE HELPPPP
WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)
a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ
Answer:
23,11333753
Step-by-step explanation:
1. Use The Coordinates To Find The Distances Of The Four Sides
2. The Formula For Perimeter Or A Quad =
AB + BC + CD + AD
Basically Add The Distances Of The Four Sides
So: WX + XY + YZ + WZ
[tex] \sqrt{34} + 5 + \sqrt{61} + 2 \sqrt{5} [/tex]
= 23,11333753
.°. 23,1
b.????
We can write the parameter as -
P = 23.13P = 11.55What is a quadrilateral?In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.
Given is that WXYZ has vertices W(6, 2), X(3, 7), Y(-1, 4), and Z(4, -2).
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 - dimensional plane, the distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem -{d} = √{(x₂ - x₁)² + (y₂ - y₁)²}
{ a } -
WX = 5.83
XY = 5
YZ = 7.8
ZW = 4.5
So the perimeter would be -
P = WX + XY + YZ + ZW
P = 5.83 + 5 + 7.8 + 4.5
P = 23.13
{b} - After the dilation, the sides will become -
WX' = 5.83/2 = 2.9
XY' = 5/2 = 2.5
YZ' = 7.8/2 = 3.9
ZW' = 4.5/2 = 2.25
The perimeter will be -
P = WX' + XY' + YZ' + ZW'
P = 2.9 + 2.5 + 3.9 + 2.25
P = 11.55
Therefore, we can write the parameter as -
P = 23.13P = 11.55To solve more questions on dilations, visit the link below -
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HELP
Write an equation of the line in slope intercept form using the graph below.
Can anyone help me with this problem?
What is the slope of the line that passes through the points (-2, 8)(−2,8) and (-22, 8) ?(−22,8)? Write your answer in simplest form.
Answer:
0Step-by-step explanation:
The slope of the line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(-2, 8) ⇒ x₁ = -2, y₁ = 8
(-22, 8) ⇒ x₂ = -22, y₂ = 8
So, the slope:
[tex]m=\dfrac{8-8}{-22-(-2)}=\dfrac{0}{-20}=0[/tex]
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
Answer:
You didn't say what the question was
Answer: 3
Step-by-step explanation:
If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each additional hour, how much money does he make?
What is 25=10+w. I need it ASAP ROCKY
Answer:
W=25-10=15..........
5. Arianna purchased a house for $156,000 and obtained a mortgage for $147,700. She purchased 2 discount points and 3 origination points. What is the cost for each? (3 points)
discount: $2,954; origination: $4,431
discount: $3,120; origination: $4,680
discount: $4,431, origination: $2,954
discount: $4,680; origination: $3,120
Step-by-step explanation:
who has the problem gdjjsjegggshdgghdvdvvrbdhjlalalsleir
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answer:
1439.4702≈1439
Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax
Answer:
$15,937.50
Step-by-step explanation:
15000 × 1.0625 = 15937.5
The volume of a cylinder is 65 cubic centimeters. Which equation can be used to find h, the height of the cylinder?
A. h = 65/b, where B is the base area of the cylinder.
B. h = 65 - B, where B is the base area of the cylinder.
C. h = 65B, where B is the base area of the cylinder.
D. h = B/65, where B is the base area of the cylinder.
Answer:
Im so sorry for do this but can you help me click my profile pic the click the last question PLZZZZZZZ will give 50 brain
Step-by-step explanation:
The equation that can be used to find h, the height of the cylinder, is h = B/65. The correct option is D.
How to calculate the height?The formula for the volume of a cylinder is:
V = Bh
Where V is the volume, B is the base area, and h is the height of the cylinder. We are given that the volume of the cylinder is 65 cubic centimeters, so we can write:
65 = Bh
To solve for h, we can divide both sides of the equation by B:
h = 65/B
Therefore, the equation that can be used to find h, the height of the cylinder, is:
D. h = B/65, where B is the base area of the cylinder.
To know more about volume follow
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13 (3) = ???
Please help ant get the answer for nothing...
Answer:
39
Step-by-step explanation:
13 x 3?
3a=1
What is a equal to?
Answer:
1/3
Step-by-step explanation:
3a = 1
/3 /3
a = 1/3
Answer:a
a= one third or 1/3
3 times 1/3 = 1
Step-by-step explanation:
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answer:
40.00-30.98=x
what is equvalint to 1/2a-4
A trampoline park costs $12 for the first hour and $6 for each additional hour. Flynn pays $30 at the trampoline park. Select the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour.
A. 12x + 6 = 30; 3 hours
B. 6x + 12 = 30; 3 hours
C. 6x + 12 = 30; 2 hours
D. 12x + 6 = 30; 2 hours
The equation that represents the given situation is 12 + 6x = 30.
The number of additional hours is 3.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
A trampoline park costs $12 for the first hour and $6 for each additional hour.
Amount paid at the park = $30
Now,
12 + 6x = 30
x is the number of hours.
Solve for x.
12 + 6x = 30
6x = 30 - 12
6x = 18
x = 3
Thus,
The equation is 12 + 6x = 30.
The number of hours is 3.
Learn more about equations here:
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The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?
Answer:
26
Step-by-step explanation:
just use a calculator or search it up
The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.
Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.
Answer:
The max # of shirts they can order is 29
Step-by-step explanation:
300 = 83.95 + 7.45x
216.05 = 7.45x
x = 29
Answer:
Step-by-step explanation:
83.95+7.45= 91.4
so they have
300
- 91.4
--------
208.6
so after they still have money left
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
5. Is the side that is 100 meters long the hypotenuse, opposite or adjacent side? *
Hypotenuse
Adjacent
Opposite
Answer:
adjacent
Step-by-step explanation:
It is the leg that touches the 18 degree angle
Plzzzz help me with this ASAP (100 points)
Answer:
7.5
Step-by-step explanation:
the answer to your question is 7.5
6 – [ - 2( - 3 – 5)] =
Answer:
-10
Step-by-step explanation:
Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step
6 - 16 = -10
Answer:
-3 - 5= -8
-2 x -8= 16 (2 negatives make a positive when multiplied)
6-16= -10
if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
x/7=1/4
please help will give brainlest
Answer:
x=7/4
Step-by-step explanation:
cross multiply and divide both sides
Will a pair of 6 feet 11 inch long skis fit in a wardrobe that is 3 feet long, 2 feet wide and 6 feet high?
Answer:
Step-by-step explanation:
Length of a pair of skis = 6 feet 11 inches
Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.
From the picture attached,
BC² = 3² + 2² [By Pythagoras theorem]
BC = √(13)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
AB² = 6² + (√13)²
= 36 + 13
AB = √49
Ab = 7 feet
Since, "diagonal length of the wardrobe is more than the length of skis,
skis can be fitted"
Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive
Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
