Answer:
73.1 cm
Step-by-step explanation:
In the drawing, the rubber track is in black and the wheels are in light gray.
As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:
Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm
Rounding to one decimal place, we have that the length is 73.1 cm
This question is incomplete because it lacks the diagram of the 4 circular wheels.
Find attached to this answer the appropriate diagram
Answer:
100.5cm
Step-by-step explanation:
The formula to be used in this calculation is the circumference of a circle.
The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.
The formula for the circumference of a circle is given as 2πr where r = radius of the circle
Or πD where D = Diameter of the circle
In the question, we are given the diameter of the circle = 8cm
So we use the Formula
= πD
The length of the rubber track around one wheel is
= π × 8cm = 25.132741229cm
From the attached diagram, we can see we have 4 wheels.
The length of the rubber track that goes around the four wheels is calculated as
4 × 25.132741229cm = 100.53096491cm.
Approximately to one decimal place = 100.5cm
Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm
A baseball team played 82 games. The team won 7 more than twice as many games as it lost. The equation l+2l+7=82 models this relationship, where l is the number of games lost. How many games did the team lose? How many games did the team win?
Answer:
The team lost 25 games and won 57.
Step-by-step explanation:
I am going to say what:
w is the number of games won.
As the problem states, l is the number of games lost.
The team won 7 more than twice as many games as it lost.
This means that [tex]w = 2l + 7[/tex]
A baseball team played 82 games.
This means that:
[tex]w + l = 82[/tex]
[tex]2l + 7 + l = 82[/tex]
[tex]3l = 75[/tex]
[tex]l = \frac{75}{3}[/tex]
[tex]l = 25[/tex]
And
[tex]w = 2l + 7 = 2*25 + 7 = 57[/tex]
The team lost 25 games and won 57.
What information would help you answer the which is steepest question with more precision and confidence
Each of the 14 students in the art club needs 4One-fourth ounces of paint for a project. The art store sells paint only in 8-ounce bottles.
How many bottles of paint does the art club president need to buy for the project?
3
4
7
8
PLEASE AWNSER ASAP WILL GIVE BRAINLIEST
Answer:
4
Step-by-step explanation:
X=1-y, 6x+5y=11 using substitution method
Answer:
x=6 y=-5
Step-by-step explanation:
6x+5y=11
X=1-y
6x=6(1-y)
6x=6-6y
6-6y+5y=11
6-y=11
y=-5
x=1-y
x=1-(-5)
x=6
so,
x=6
y=-5
Answer:
[tex]y = ( - 5) \\ x = 6[/tex]
Step-by-step explanation:
[tex]x = 1 - y \\ 6x + 5y = 11 \\ \\ \\ 6(1 - y) + 5y = 11 \\ 6 - 6y + 5y = 11 \\ - 6y + 5y = 11 - 6 \\ - y = 5 \\ y = - 5[/tex]
[tex]x = 1 - y \\ x = 1 - ( - 5) \\ x = 1 + 5 \\ x = 6[/tex]
Let's check whether the answer is correct.
[tex]6x + 5y = 11 \\ 6 \times 6 + 5 \times ( - 5) = 11 \\ 36 - 25 = 11 \\ 11 = 11[/tex]
yes ,its correctPlease help me I need help in this please help me and thank you
Answer:
i think we need the
Step-by-step explanation:
coordinates to be able to plot it
Can someone help me with this??
Answer:
(-6,-2)
Step-by-step explanation:
Hello! Lets get started!
By looking at this problem, we see that both equations equal 2. This makes this problem much easier!
While there are a few methods you could solve this, I will use substitution. First, I need to find what x is in terms of y!
There are many different ways you could do this, here are two:
-x = 2-2y ==> x = -2+2y
-x + 2y = -3x + 8y ==> 2x = 6y ==> x = 3y
For this problem, I am going to use the second answer, x = 3y, as it is simpler!
We need to substitute 3y in for x in either equation; I am going to use the first equation, -x + 2y = 2.
-3y + 2y = 2
-y = 2
y = -2
Now, lets solve for x!
-x + 2(-2) = 2
-x - 4 = 2
-x = 6
x = -6
After plugging the answers into both equations, we see that they are in fact true!
Therefor, our final answer is (-6, -2)
Which bank has the highest possible overdraft fee? Bank Account Terms and Conditions Bank A has a 0 dollar overdraft fee if link with savings account of 40 dollars per overdraft, Bank B has a 35 dollar overdraft fee, bank C has a 25 dollar overdraft fee, and bank D has a 25 dollar overdraft fee.
a.Bank A b. Bank B c.Bank C d.Bank D
Bank A has the highest possible overdraft fee.
An overdraft fee is charged when a payment or withdrawal from your bank account exceeds the available balance and your bank covers the transaction as part of an overdraft protection service. But in addition to covering the transaction, the bank or credit union then applies the fee.
What happens if you have an overdraft fee?If you don't bring your balance above zero, the bank may close your account and transfer an unpaid balance to a collection agency. Another form of overdraft protection that banks may offer is an automatic transfer from a linked account to cover a purchase if you don't have enough money in checking.
Learn more about overdraft fees here https://brainly.com/question/1739416
#SPJ2
what is personal hygiene
Answer:
personal hygine is taking care of ur face, hands and other parts of ur body
Step-by-step explanation:
Answer:
Personal hygiene is how you care for your body. This practice includes bathing, washing your hands, brushing your teeth, and more. Every day, you come into contact with millions of outside germs and viruses.
What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.
x = -5 and x = 1
x = -1 and x = 5
x= -1 and x = -7
x = 1 and x = 7
Answer:
x = -1 and x = 5
Step-by-step explanation:
What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.
(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
x=-1 and x=5
Step-by-step explanation:
What is the greatest common factor of 24s3, 12s4, and 18s?
Answer:
Step-by-step explanation:
The GCF if 24s^3, 12s^4 and 18s is
24s^3: 2^3 * 3 s s s
12s^4: 2^2 * 3 s *s* s* s
18s: 3^2 * 2 s
3s is the GCF
A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
The vehicle's speed is ????? miles/minute.
Answer:
Step-by-step explanation:
Answer:
the answer is 5t^3-10t^2+10t-20+46/t+2
Step-by-step explanation:
divide 5t^4-10t^2+6/t+2
What is the value of n-7 when n=14
Answer: The answer is 7
Step-by-step explanation: First n=14, so we rewrite the equation and get 14-7. So the answer is 7.
PS. Can you mark brainliest???
Answer:
Basically 7
Step-by-step explanation:
If N=14 then 14-7
Reflect A across the x-axis. Label the reflection as N, and give its coordinates.
Answer:
N (-4,3)
Once A is reflected over the horizontal line, it is (-4,3)
Answer:
Step-by-step explanation:
its -4 3
Nadia drew a design for a copper wire sculpture as shown above.She plans to make a wire frame that includes the perimeter of the square and the circumference of the circle.She has 5 feet of copper wire.Does she have enough wire for the sculpture?
Answer:
She does not have enough wire.
Step-by-step explanation:
The complete question included a design for her sculpture. It is a circle inscribe in a square and the length of the square is 9 inches. The picture above describe the design.
She has in possession a 5 ft of copper to construct a circle inscribe in a square.
The square is 9 inch length.
Perimeter of the square = 4L
where
L = length
Perimeter of the square = 4 × 9
Perimeter of the square = 36 inches
Circumference of a circle = 2πr
r = diameter/2 = 9/2 = 4.5 inches
Circumference of a circle = 2 × π × 4.5
Circumference of a circle = 2 × 4.5 × 3.14
Circumference of a circle = 9 × 3.14
Circumference of a circle = 28.26 inches.
The sculpture will consume 36 inches for the square and 28.26 inches for the circle. The total length for the sculpture will be 36 + 28.26 = 64.26 inches.
She has 5 ft copper for the sculpture . Let us covert the inches to ft to know if the copper wire is enough.
12 inches = 1 foot
64.26 inches = ?
cross multiply
wire required for the sculpture = 64.26/12
wire required for the sculpture = 5.355 ft
She does not have enough wire.
Answer:
No she does not have enough
Step-by-step explanation:
Consider this equation.
7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Mia solved the equation and determined that m = 2. Is she correct?
A). She is incorrect because when substituting 2 for m the result was a true statement.
B). She is incorrect because when substituting 2 for m the result was a false statement.
C). She is correct because when substituting 2 for m the result was a true statement.
D). She is correct because when substituting 2 for m the result was a false statement.
∵ = :)
Answer:
B) She is incorrect because when substituting 2 for m the result was a false statement
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
She is incorrect because when substituting 2 for m the result was a false statement.
The manager of a store increases the price of the bathing suits by 7%. Let t be the original price of a bathing suit. The new price is t + 0.07t. A. Find an expression equivalent to t + 0.07t.
Answer:
[tex]t+0.07t=t(1+0.07)=t(1.07)=1.07t[/tex]
Step-by-step explanation:
There are a couple of equivalent expressions to the function [tex]t+0.07t[/tex]. For example:
[tex]t+0.07t[/tex]
Factor:
[tex]t+0.07t=t(1+0.07)[/tex]
If you add the terms inside the parentheses:
[tex]t(1+0.07)=t(1.07)[/tex]
Basically you can add the like terms from the start and get the same result.
[tex]t+0.07t=1.07t[/tex]
Therefore:
[tex]t+0.07t=t(1+0.07)=t(1.07)=1.07t[/tex]
The slope is negative. In the graph, as you move from left to right, the
line of the graph is going _________________
Answer:
downward
Step-by-step explanation:
The graph is negative which means it is downward sloping
area of the shaded segment of a circle. radius is 10 arc measures 90 degrees
Answer:
[tex]25\pi[/tex] or about 78.54 units
Step-by-step explanation:
Since the arc measures 90 degrees, since 90/360=1/4 the segment is 1/4 of the area of the circle. The whole area of the circle is [tex]\pi 10^2=100\pi[/tex], meaning that the area of the segment is [tex]25\pi[/tex] square units, or about 78.54. Hope this helps!
Please help!
Zack deposited $9,129 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will he have in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Given Information:
Principle amount = P = $9,129
Interest rate = r = 4% = 0.05
Period in years = t = 5
Required Information:
Balance in 5 years = ?
Answer:
Balance in 5 years = $11,651.17
Step-by-step explanation:
Using the formula given in the question,
[tex]B = P(1 + r )^{t}[/tex]
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
[tex]B = P(1 + r )^{t}\\\\B = 9,129(1 + 0.05)^{5}\\\\B = 11,651.17[/tex]
Therefore, Zack will have $11,651.17 in 5 years by investing $9,129 in a savings account at 5% annual interest.
Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 5?
Simplify your answer and write it as a fraction or whole number.
Answer:
You have three card : 3, 4, and 5.
You first pick one card randomly, the probability of picking a 3 is:
P = 1/3
You then pick a second card without putting the first card back, the probability of picking a 5 is:
P = 1/2
=> The probability of picking a 3 and then picking a 5:
P = (1/3) x (1/2) = 1/6
Hope this helps!
:)
can someone help me with exercise 1 please
Answer:
A) 5X+6=2X+30
6 = -3X+ 30 (Subtracted 5X from both sides)
-24 = -3X (Subtracted 30 from both sides)
8 = X (divide -3 from both sides)
B) Isolate the variable by dividing each side by factors that don't contain the variable. x = 8
Find the area of each sector. Photo attached
Answer:
Area of sector: 48π in^2; Option D
Step-by-step explanation:
~ We can see that the bolded portion of the circle must be the the sector that we need to compute the area of... ~
Let us plan out this problem. If we were to find the area of the circle provided a radius of 12 inches, we could create a proportionality between the degree of the sector, and the degree of the circle ( 360 ) and the area of the sector and the area of the circle.
1. To calculate the area of this circle, let us apply the formula πr^2, such that r is 12 inches ( and let us keep π in terms of π ) ⇒ π * ( 12 )^2 ⇒ 144 * π ⇒ Area of Circle: 144π
2. Let us see this as a proportionality:
Degree of sector/ Degree of circle = Area of sector/ Area of circle
3. Now let us say x ⇒ Area of the sector. Substitute values into this formula, and solve for x through algebra:
120 / 360 = x / 144π,
120 * 144π = 360 * x,
17,280π = 360 * x,
x = 17,280π / 360,
Area of sector: 48π in^2
Correct answer only please!
Answer:
$9257.5
Step-by-step explanation:
plug into the equation known variables
Answer:
2257.50
Step-by-step explanation:
B=p(1+r)^t
p= principal amount= $7000 in the saving account
r= interest rate= 15%= .15
t- number of years = 2
B= 7000(1+.15)^2
B= 7000(1.15)^2
B= 7000(1.15)(1.15)
B= 9257.50
She has a total of 927.50 dollars in the account after two years. To find out how much of that is interest we take the Balance and subtract what she invested.
B-p= 9257.50-7000= 2257.50 earned in interest.
wat is 9+5-3-6-3-2=??
Answer:
0
Step-by-step explanation:
everything cancels out
Answer:
0 or nothing
Step-by-step explanation:
9 plus 5 minus 3 minus 6 minus 3 minus 2
14 minus 3 minus 6 minus 3 minus 2
11 minus 6 minus 3 minus 2
5 minus 3 minus 2
2 minus 2
0
share £60 in the ratio 1:4
Answer:
Let one no. be 1x
other be 4x
x+4x=60
5x=60
x=12
4x=4×12
48
hope it helps :)
Find the area of the shaded Sector
A. 8pi
B. 6pi
C. 16pi
D. 4pi
Answer:
4pi
Step-by-step expla
because its pi is the circumference so its times 4
What is the area of the composite figure?
A. (6pi + 4) cm
B. ( 6pi + 16) cm
C. ( 12pi + 4) cm
D. ( 12pi + 16) cm
Answer:
16 + 6pi cm
Step-by-step explanation:
We have a square of length 4 cm
A = s^2 = 4^2 = 16
We have 3 semi circles
with radius 2
A semi circle has an area of
1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi
There are 3 of them
3 * 2 pi = 6pi
Add the areas together for the square and the semicircles
16 + 6pi
Answer:
(6pi + 4) cm^2
Or just A/ first option
Think about the expansion for the binomial (2x - y2)6. The first term of this binomial is 2x. The second term of this binomial is -y2. What is the correct formula for the fifth term in this binomial expansion? 6C4(2x)4(-y2)2 6C4(2x)2(-y2)4 6C5(2x)(-y2)5
Answer:
the answer is 6C4 (2x)2 (-Y2)4
Step-by-step explanation:
Answer:
the second answer is D
Step-by-step explanation:
on edge
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.
Answer:
27%
Step-by-step explanation:
Answer:
27% please do not rate this answer
Step-by-step explanation:
A line segment has an endpoint at(-1, -7). If the midpoint of the line segment is (3. - 3), what are the coordinates of the point at the other end of the line segment?
Answer:
the coordinate of the point at the end of the line segment : ( 7 , 1 )
Step-by-step explanation:
HOPE THIS HELP YOU!!! ;))))