Answer:
Her average speed from Ashdown to Carton is approximately 48.4 mph
Step-by-step explanation:
The time and speed of the motion of Priti are as follows;
The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours
The average speed she drove from Ashdown to Bridgeton = 50 mph
The distance she drove from Bridgeton to Carton, d₂ = 30 miles
Her average speed from Bridgeton to Carton = 40 mph
The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles
The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour
Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)
Δd = d₁ + d₂, Δt = t₁ + t₂
Δd = 200 miles + 30 miles = 230 miles
Δt = 4 hours + 0.75 hour = 4.75 hours
∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)
∴ [tex]v_{ave}[/tex] = (920/19) mph
Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a
vehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?
Answer:
x = 60
Step-by-step explanation:
t = [tex]\frac{k}{x}[/tex]
15 = k/68
k=1020
~~~~~~~~~~~
17 = 1020/x
x = 1020/17
x = 60
The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
What is speed?The rate of change of position of an object in any direction is called speed.
How do you calculate speed when distance and time is given?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
At a speed of 68 miles per hour, the trip will be complete in 15 hours.
⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles
( because, distance = speed × time)
Therefore, the speed of car to complete the trip in 17 hours
= [tex]\frac{1020}{17} =60miles/hr[/tex]
Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.
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Có 10 bạn mua cùng một loại vở hết tất ả 60 000 tính giá tiền của mỗi quyển vở biết rằng mỗi bạn mua 2 quyển vở
Answer:
Giá một cuốn sách là $ 1000
Step-by-step explanation:
Được
Tổng chi phí sách = 60000
Tổng số bạn bè = 10
Sách do mỗi người bạn mua = 2
Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20
Giá của một cuốn sách = Tổng giá / tổng số sách đã mua
Giá một cuốn sách = 20000/20 = 1000
Giá một cuốn sách là $ 1000
A bicycle tyre has a diameter of 14 cm. John decides to cut the tube to see how long the rubber is.
a. What is John trying to find? _____________________________________________
b. Calculate the circumference of the tyre.
c. If John should place the tyre on the ground and fill the space inside with paint, how much space would be occupied by the paint?
Answer:
A:He is trying to find the diameter
B: 3.14*14=43.96
C: 3.14*14^2=615.44
Hope This Helps!!!
Problem 1 Using the pattern in the image below , how many dots would be in Step 4
Answer:
9 dots
Step-by-step explanation:
each step adds 2 dots every time
Solve the system by substitution.
— бу = x
x + y = -30
Step-by-step explanation:
-6y + y=-30
-5y = -30
y=6
x=-6 ×6= -36
i need help with this asap !!
Answer:
x^2-2x-13
Step-by-step explanation:
f(x) = 2x-5
g(x) = x^2 -4x-8
f(x) +g(x) = 2x-5 + x^2 -4x-8
Combine like terms
= x^2+2x-4x-5-8
=x^2-2x-13
Name the marked angle in 2 different ways
Answer:
∠TSR ∠S
Hope this helps! :)
6÷8 using long division
Given:
The expression is:
[tex]6\div 8[/tex]
To find:
The value of the given expression by using the long division method.
Solution:
We have,
[tex]6\div 8[/tex]
Here, dividend is 6 and divisor is 8.
Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:
[tex]\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }[/tex]
[tex]\underline{\quad 56\quad }[/tex]
[tex]40[/tex] (After subtraction)
[tex]\underline{\quad 40\quad }[/tex]
[tex]\underline{\quad 0\quad }[/tex] (After subtraction)
Therefore, the value of the given expression is 0.75.
I need somebody to help this due in 25 minutes
Answer:
line n
Step-by-step explanation:
Line n goes through points A and G on the diagram.
The table shows ordered pairs of the function . What is the value of y when ?
the value of y is equal negative
Please help I’ll give brainliest
Answer: A, 4^4
Step-by-step explanation:
4^7/4^3 = 4^4
Answer:
[tex]4^{4}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
[tex]\frac{4^{7} }{4^{3} }[/tex]
Cancel the common factors.
[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]
[tex]4^{4}[/tex]
Hope this helps!
Reach out to me if you need more help with these types of problems.
which statement is true about the figure?
Answer:
DEC and AEB are the same angles
Whats is the value of x in the equation 1.5(x+4)-3=4.5(x-2)
Answer:
Step-by-step explanation:
1.5 (x+4)-3=4.5(x-2)=
1.5x+6-3=4.5x-9=
1.5x+3=4.5x-9=
1.5x-4.5x=-3-9=
-3x=-12
x=4
Answer:
x=4
Step-by-step explanation:
1.5(x+4)-3=4.5(x-2)
-Use distributiive prop. to simplify
1.5x+6-3=4.5x-9
-Simplify 6-3
1.5x+3=4.5x-9
-Subtract 1.5x from both sides
3=3x-9
-Isolate the x's by subtracting 9 from both sides
12=3x
-divide by 3
4=x
:) ur welcome
What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 1 4 -1
4 -1 -2 -6 3-5
-8
Answer: if its decimal and it wants you to round to next place to the tenths place
Step-by-step explanation: if it means to look at the hundredth's place to find your answer if its bigger than five your second number will add up if its lower than five it stays the same
Is Mercury is a gas giant, and because it is hot, it is named after the mercury in a thermometer.
Please give real answers with explaination. I will follow + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Mercury is the smallest and fastest planet in the solar system. It is also the closest planet to the sun. It is named after the Roman messenger god Mercury, the fastest Roman god.
Find the solutions to 8x2 + 56x = 0. Check all that apply.
A. X = 8
B. x = 0
C. X = -7
D. X = 7
Answer:
B and C
Step-by-step explanation:
fjdjjsngbsnsjf x
What's the Area of the Rectangle, Triangle and the entire shape?
Answer:
Rectangle = 48 un²
Triangle = 12 un²
Total = 60 un²
Step-by-step explanation:
Area rectangle = 8 x 6 = 48 un²
Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²
Total = 48 un² + 12 un² = 60 un²
To check the total area, find the area of the trapezoid:
1/2 ( 8 + 12) * 6 =
(20 * 6)/2 =
120 / 2 = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
At a certain time of day, a 9.5 meter flagpole casts an 28.5 meter shadow. At the same time of day, a neighboring tree casts a shadow that is 24 meters long. How tall is the tree?
a 14,67m
b 8m
c, 72m
d, 40m
Answer:
I think its c
Step-by-step explanation:
A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?
Answer:
[tex]W=2.58 unit[/tex]
[tex]L=15.5 unit[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=40[/tex]
Equation
Length [tex]L=6LW[/tex]
Generally the equation for Area of a rectangle is mathematically given by
[tex]A=L*W[/tex]
[tex]A=W*(6W)[/tex]
[tex]A=6W^2[/tex]
[tex]W=\sqrt{40/6}[/tex]
[tex]W=2.58 unit[/tex]
Therefore Length is
[tex]L=6W[/tex]
[tex]L=6(2.58)[/tex]
[tex]L=15.5 unit[/tex]
Length = 10
Width = 4
The dimensions of the rectangle would be 10 by 4.
can i get help lost on this one
[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]
[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]
Which compound inequality is represented by the graph?
Answer:
The answer would be [tex]x < -2[/tex] OR [tex]x \ge 4[/tex].
Step-by-step explanation:
Do pay attention to the hollow circle from which [tex]x < -2[/tex] is found; that means the value of x does not include -2, and therefore the < sign is used.
Hope this helped!
hmmmmmmmm
hope it helps
Can someone answer this plz
Answer:
[tex]A^{I}[/tex]= (7, -1)
Step-by-step explanation:
Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.
In the polar coordinate given, the coordinate of A is given as;
A = (3, 3)
On rotating point A about point C counterclockwise for [tex]270^{o}[/tex], an image [tex]A^{I}[/tex] would be produced.
But [tex]A^{I}[/tex] would have a coordinate;
[tex]A^{I}[/tex]= (7, -1)
The image of A produced is [tex]A^{I}[/tex] (7, -1).
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer and Step-by-step explanation:
All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.
180 - 38 - 83 = 59
x = 59 degrees.
#teamtrees #PAW (Plant And Water)
43%×64%÷3+86×18=what?
Answer:
1548.09173333
Answer:
43%×64%÷3+86×18=
1548.09173333
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
What is 700,000+900+60+7 in standard form
Step-by-step explanation:
here is the answer for your question
Categories the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
Step-by-step explanation:
This graph is both linear and decreasing, as we move from left to right.
in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . draw a venn diagram to find the number of students who play football only. the number of students who play volleyball only. the total number of students of the school
Step-by-step explanation:
It will help you !!!!!!!!!!Answer:
my answer is 660
Step-by-step explanation:
300+250+110=660
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___
A. 92, 66, 28
B. 1024, 2048, 4096
C. 64, 32, 16
D. 32, 8, 2
Answer:
C. 64, 32, 16
Step-by-step explanation:
This geometric sequence is made by dividing the numbers by 2:
512 ÷ 2 = 256
256 ÷ 2 = 128
Hence, the next term will be
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
Therefore, the correct answer is C.
The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,
Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2
Now, the nth term of the given sequence can be defined as,
aₙ = a₁ × r⁽ⁿ⁻¹⁾
= 512 × (1/2)⁽ⁿ⁻¹⁾
Therefore, the next term of the given geometric progression will be,
a₄ = 512 × (1/2)³ = 64
a₅ = 512 × (1/2)⁴ = 32
a⁶ = 512 × (1/2)⁵ = 16
Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.
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SAT A bag contains 3 red marbles, 2 green
marbles, and 4 blue marbles. One marble is
randomly drawn and replaced. Then a second marble
is drawn. Find the probability of drawing three blue
marbles.
Answer:
[tex] \frac{1}{21} [/tex]
Step-by-step explanation:
refer to solution in picture
How to sketch the graph?
Step-by-step explanation:
sketch the mother function of |x| then go 3 steps to the right horizontally and that's it