Answer:
Distance travelled = 91.61 feet
Step-by-step explanation:
Given the following data;
Diameter, d = 35 inches
Number of revolutions = 10 Rev
To find the distance travelled by the bike;
First of all, we would determine the circumference of the bike's tire, which is circular in shape.
Circumference of circle = πd
Circumference of circle = 35π
Next, we multiply by the number of revolutions to get the distance travelled.
Distance travelled = 35π * 10
Distance travelled = 350π inches
But pie, π = 3.142
Distance travelled = 350 * 3.142
Distance travelled = 1099.7 inches.
In feet;
1 inches = 0.0833 feet
1099.7 inches = x feet
Cross-multiplying, we have;
x feet = 1099.7 * 0.0833
x feet = 91.61 feet
Distance travelled = 91.61 feet
what ratio below is not equivalent to the ratio 10:35
Answer:
1/2
Step-by-step explanation:
In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.
What is a ratio?The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.
The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.
Thus the correct option is A, B and C.
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Your question is incomplete most probably your full question was:
what ratio below is not equivalent to the ratio 10:35
A. 3:5
B. 2:4
C. 1:3
D. 2:7
please help i am in class and need help pleaseeeeee
Answer:
360m²
Step-by-step explanation:
Surface area of Pyramid=4*Area of Triangle+Area of Square
Area of Triangle=(1/2)*Base*Height
Area of Square=Side²
Area of 4 Triangles=4*(1/2)*10*13=260m²
Area of square=10²=10*10=100m²
Total Area=260m²+100m²=360m²
Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4,128 books
Step-by-step explanation:
Let
x = number of books
Fixed cost = $44,376
Variable cost = $8.25 per book
Total cost = fixed cost + variable cost
Total cost = 44,376 + 8.25x
Selling price of book = $19 per book
Total revenue = 19x
How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Total cost = Total revenue
44,376 + 8.25x = 19x
44,376 = 19x - 8.25x
44,376 = 10.75x
x =44,376/10.75
x = 4,128 books
The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales
Find the value of x and justify your answer
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x
Answer:
change the date of 4images and the giant is the quiz on my essay
Step-by-step explanation:
you wanna play 3rd party or something else do it was 4th day
Suppose a book has been on a desk 1 m above the floor. A student accidentally knocks the book off of the desk and it falls to the floor. During this process, ___________ energy has been changed into _______ energy.
Answer: Potential; Kinetic
Step-by-step explanation:
''...During this process, potential energy has been changed into kinetic energy.''
Potential energy is the energy that a stationery object has because it is stored within the object. In this case the object is the book.
When an object begins to move, it gains kinetic energy which is converted from its potential energy. As the book falls to the floor in this scenario, it gained kinetic energy as its potential energy was converted to enable it move.
How much annual income would you need to have if, using the 28/36 ratio, your maximum allowable recurring debt is $500? A. $21,430 b. $30,000 c. $62,500 d. $75,000
Answer: $75,000
Step-by-step explanation:
The 28/36 rule is that the maximum that the person is to spend on household expenses is 28% of their monthly income. 36% of their monthly income is the maximum they can spend on debt and their household expenses.
This means that the maximum they are allowed to spend on debt is:
= 36 - 28
= 8%
If their maximum allowable debt is $500, this is 8% of their gross income. This Gross monthly income is therefore:
500 = x * 8%
= 500/ 8%
= $6,250
Their gross annual income is:
= 6,250 * 12
= $75,000
Answer:
$75,000
Step-by-step explanation:
e d g e
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the area of the parallelogram. A parallelogram has a lower side measuring 24 centimeters and a right side measuring 9 centimeters. A dashed vertical segment with endpoints on the upper and lower sides is 8 centimeters and meets the lower left vertex at a right angle.
Answer:
[tex]Area = 192cm^2[/tex]
Step-by-step explanation:
The given information can be interpreted as:
[tex]Base = 24cm[/tex] --- lower side
[tex]Slant\ Height = 9cm[/tex] --- right side
[tex]Height = 8cm[/tex] --- dashed line
Required
Determine the area
The area of parallelogram is:
[tex]Area = Base * Height[/tex]
[tex]Area = 24cm * 8cm[/tex]
[tex]Area = 192cm^2[/tex]
Answer:
she like
Step-by-step explanation:
faygo u gettin bigger
License plate in a particular state display 3 letters followed by 3 numbers how many different licenses plates can be for this state
Answer:
What state? There is no state there
The surface of a trampoline has a radius of 6 ft.
What is the area of the surface of the trampoline?
36π ft²
18π ft2
36 ft2
18 ft2
Answer:
36π ft²
Step-by-step explanation:
please mark me as brainliest
Answer:
the area of the surface of the trampoline with radius =πr²=π×6²=36πft²
If Kate is 14, what was her age x years ago?
what's
[tex] \sqrt{1} \times \sqrt{9} [/tex]
Answer:
3 Ans ....
Step-by-step explanation:
Data:
=√1 x√9
=1 x 3
= 3 Ans .......
.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?
Answer: 15 / 56
Step-by-step explanation:
Number of red checkers = 3
Number of black checkers = 5
Total number of checkers = 8
P(black, then red) = 5/8 × 3/7 = 15/56
We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.
100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.
Answer:
this is your answer look it once
Answer:
5: x > 6
6: x < 62
Step-by-step explanation:
[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]
[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]
Please help
If 100% = Rs. 120, then
A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84
Answer:
Simple: C. 70% = Rs. 84
Step-by-step explanation:
cause it can't be 120% if Rs.120 is the 100%
WHAT IS THE TOTAL SURFACE AREA??
Answer:
210
Step-by-step explanation:
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Answer:
Why are you spamming questions
Step-by-step explanation:
8. Identify the x and y intercept of the equation:
12x - 8y = 48
Answer:
X- intercept(S) : (4,0)
Y- Intercept(S) : (0, -6)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for Y.
Hopes this helps!
The x- intercept (4, 0) and y intercept ( 0, -6).
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
when the independent variable is 0 and you want to know the value of the dependent variable (zero).
Given:
Equation: 12x - 8y = 48
Now, for x- intercept put y= 0
12x - 8(0)= 48
12x= 48
x= 4
and, for y- intercept put x= 0
12(0) - 8y= 48
-8y= 48
y= -6
Hence, the x- intercept (4, 0) and y intercept ( 0, -6).
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solve for the value of a
for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129
9514 1404 393
Answer:
32
Step-by-step explanation:
The first term is 5 and the common difference is 9-5=4, so the n-th term is ...
an = a1 +d(n -1)
an = 5 +4(n -1) = 4n +1
Then the term number for the term 129 is ...
129 = 4n +1 . . . . . put the given value in the formula
128 = 4n . . . . . . . subtract 1
32 = n . . . . . . . . . .divide by 4
The 32nd term is 129.
Find x and y with ray theorem
Answer:
x = 12 and y = 9
Step-by-step explanation:
Using the similarity theorem to fid the value of x and y
16/x = 16+6/16.5
16/x = 22/16.5
22x = 16*16.5
22x = 264
x = 264/22
x =12
Similarly
24/x = 24+y/16.5
24/12 = 24+y/16.5
2 = 24+y/16.5
24+y = 2 * 16.5
24+y = 33
y = 33-24
y = 9
Hence x = 12 and y = 9
A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
9514 1404 393
Answer:
$1000$600$250Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared
Answer:
51 in.
Step-by-step explanation:
:]
Answer:
124 inches square
Step-by-step explanation:
First area of that rectangle 20×5 = l×b = 100
Second area of that triangle 6×8×1/2 = 24
Third add both rectangle+triangle=100+24=124
Can someone help me? Pls i will mark you brainliest
Answer: 1 B 2 A
Step-by-step explanation:
In a survey of 1000 eligible voters selected at random, it was found that 100 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)
Answer:
A. 8%
B. 39.6%
C. 58.4%
D. 41.6%
Step-by-step explanation:
Computation to determine the probability of eligible voter selected at random
First step is to Draw up a contingincy table which will include Rows = Degree/No degree
and Columns= Vote/Not vote
..............Vote..No vote
Degree 80...20...100
(80%*100=80)
(100-80=20)
No Degree 504..396..900
(1000-100=900)
(56%*900=504)
(504-900=396
Totals 584..416...1000
(80+504=584)
(20+396=416)
(900+100=1,000)
Summary
..............Vote..No vote
Degree 80...20...100
No Degree 504..396..900
Total Totals 584..416...1000
A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.
P = 80/1,000
P=0.08*100
P=8%
Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%
B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.
P =396/1000
P=0.396*100
P=39.6%
Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%
C. Calculation to determine the probability if The voter voted in the last presidential election.
P = 584/1,000
P=0.584*100
P=58.4%
Therefore the probability if The voter voted in the last presidential election will be 58.4%
D. Calculation to determine the probability if The voter did not vote in the last presidential election.
P = 416/1000
P=0.416*100
P=41.6%
Therefore the probability if The voter did not vote in the last presidential election will be 41.6%
There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?
Answer:
y = 1/10 x + 18/5
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line
y - 3 = 1/10(x --6)
multiply both sides by 10
10y - 30 = x + 6
Rearrange
10y = x + 6 + 30
10y = x + 36
y = 1/10 x + 36/10
y = 1/10 x + 18/5
5b2+28=
b=1.5
PLEASE HELP ME!!!
Answer:
39.25
Step-by-step explanation:
I am assuming that 5b2 means 5b to the power of 2.
5(1.5)^2+28
5(2.25)+28
11.25+28
39.25
An ice cream shop sells 700 cones per day at a price of $4.50. A survey lets the owner know
that for every decrease in price of $0.50, they will be able to sell 100 extra cones. Write an
equation for the Revenue, R, which can be used to determine how much the owners should
charge in order to maximize their revenue.
Answer:
R(x) = (4.50 – 0.50x)(700 + 100x)
___________________________
R(x) is in factored form
Where x is each decrease in the price.
____________________________
Explanation:
R(x) is in the form ax² + bx + c.
This is where the equation is distributed and simplified [Standard form]
The maximum revenue is represented by
R(-b/2a), where the vertex of this relationship is, at x = -b/2a.
Revenue = (Price)(Quantity)
____________________________
R(x) = (4.50 – 0.50x)(700 + 100x) →
-50x² + 100x + 3150 [ax² + bx + c].
x = -b/2a
x = -(100)/2(-50)
x = -100 / -100
x = 100 / 100
x = 1
Therefore R(1) or where the price is decreased by a factor of 1 is the maximum revenue.
R(2) = -50(1)² + 100(1) + 3150
R(2) = -50(1) + 100 + 3150
R(2) = -50 + 100 + 3150
R(2) = 3200.
_______________________________
Thus the best revenue ($3,200) is obtained by decreasing the price once (Price of 4$), with 800 cones.
Which expression is equivalent to 8 + 2x?
Answer:
2(4+x)
Step-by-step explanation:
Given ΔPQR, complete the table. Use capital letters.
1.SR
2. PQ AND PS
3. QR
