Question is incomplete :
The speed, S, of a bicycle varies directly with the number of revolutions per minute, R, that the pedals turn and the number of teeth on the front gear, F, and inversely with the number of teeth on the back gear B.
Lars is racing at 24 miles per hour. His front gear has 52 teeth and a back gear has 14 teeth. He is pedaling 84 revolutions per minute. As he sprints for the finish line, he pedals 112 revolutions per minute. What is his speed?
Answer:
32 mph
Step-by-step explanation:
Speed α number of revolutions α number of teeth on front gear α 1/teeth on back gear
Speed = S ; number of revolutions = R ; Number of teeth on front gear = F ; Number of teeth in back gear = B
S = k(R * F) / B
k = proportionality constant ;
24 = k(84 * 52) / 14
24 * 14 = 4368k
k = 336/4368
k = 0.0769230
Speed at R = 112
S = k(R * F) / B
S = 0.0769230(112 * 52) / 14
S = 447.999552 / 14
S = 31.999968
S = 32 mph
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How many times does 3/4 go into 1 1/2
Answer:
2
Step-by-step explanation:
In order to divide these fractions, you must turn the mixed number into a fraction like below:
1 1/2 = (2 x 1 + 1) / 2 = 3/2
In order to divide fractions, you must multiply by the reciprocal of the denominator. In this case, you are dividing (3/2) / (3/4) and 3/4 is the denominator.
3/2 * 4/3 = 12/6 = 2. Your answer is 2.
Find the area A of polygon JKLMNO with the given vertices.
J(-1,2), K (1,2), L (3,3), M (3,1), N (1,0), 0(-1,-3)
A-
square units
Answer:
11 square units
Step-by-step explanation:
Find the distances and then add them all together. Distance formula: d,———-(square root) (x2-x1)2+(y2-y1)2
i need to drag one into the box to match them
Answer:
54÷9 = 6 so for the second box is 6 hot dogs per person
54÷27= 2 third box is 2 hot dogs per person
54÷54= 1 fourth box is 1 hot dog per person
What’s the answer laaalalalalalaaaaaa
Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4
Step-by-step explanation:
Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)
Answer:
13
Step-by-step explanation:
Replace X with 2
Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)
g(x) = 3(2)^2 – 2(2) + 5
Next conduct PEMDAS
Exponents are first so solve 2^2 which is 2 x 2 = 4
g(x) = 3(4) – 2(2) + 5
Next step is multiplication multiply 3 x 4 and 2x2
g(x) = 12 – 4 + 5
conduct adding and subtracting left from right
g(x) = 13
how do you find the valume
Answer:
Volume = length x width x height.
You only need to know one side to figure out the volume of a cube.
The units of measure for volume are cubic units.
Volume is in three-dimensions.
You can multiply the sides in any order.
Which side you call length, width, or height doesn't matter.
Step-by-step explanation:
ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP
Answer:
Its the second option
Step-by-step explanation:
4. The difference between a number x and 12.
Answer:
12 - x
Step-by-step explanation:
find the total surface area for this cuboid
Answer:
24cm
Step-by-step explanation:
surface= Ixb
= 6x4
= 24cm
Answer:
148cm(squared)
Step-by-step explanation:
5 x 6 = 30
5 x 4 = 20
6 x 4 = 24
30 + 24 + 20 = 74cm
74cm x 2 = 148cm(s)
If there are 14 people, and each person has 2 coins, there are ____ times as many coins as people.
Answer:
28
Step-by-step explanation:
am i wrong
ok bb now
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What is the inverse of adding 13?
Answer:
-13
Step-by-step explanation:
the inverse of 13 will be -13 or say its the opposite.
plz mark the brainliest
Answer:
The additive inverse is just the opposite, -13
Use triangles ABC and A'B'C' for Exercise. Use the coordinates to find the lengths of the sides.
please help is due in 20 minutes
Answer:
AB = 2
BC = 2
A'B' = 6
B'C' = 6
Step-by-step explanation:
Factor completely 7x2-45x-28
9514 1404 393
Answer:
(x -7)(7x +4)
Step-by-step explanation:
The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...
(7)(-28) = (4)(-49)
7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)
Common factor: 3x^2y^2z^2+5xyz—8x^2
Answer:
x
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
What is the slope of the line shown?
Answer:
The slope of the line shown is 2
Please help don’t know answer
Answer: y= X+3
Step-by-step explanation:
slope intercept form is y=mx+b where m is the slope and b is the y- intercept
The only coins that Kyle has are dimes and quarters. He has a total of 30 coins. The total value of Kyles coins is $4.80. Which of the following systems of equations can be used to find the number of dimes, d, and the number of quarters, q, kyle has?
Try 12 quarters = $3
Try 18 dimes = $1.80
30 coins check
$4.80 check
PLZ mark brainiest
[tex]5x {}^{2} + 2x - 3 - px - p[/tex]
Answer:
5x² + 2x - 3 - px - p
= 5x² + 5x - 3x - 3 - p(x + 1)
= 5x(x + 1) - 3(x + 1) - p(x + 1)
= (x + 1)(5x - 3 - p)
Kevin pays $12.95 for a text messaging service plus $0.07 for each text message he sends. Which of the following equations could be used to represent the total cost, y, when x represents the number of text messages sent?
Answer:
y=0.07x + 12.95
Step-by-step explanation:
Find the magnitude of the vector.
17i – 39j
Tanner is picking three varieties of apples at an orchard: Gala, Fuji, and Jazz. Each type of apple has a different cost per pound. He knows that 1 pound of each apple variety would cost a total of $5.16, and that the cost per pound of Jazz apples is the same as the combined cost per pound of the Gala and Fuji apples. Tanner picks 12 pounds of apples, including 3 pounds of Gala and 5 pounds of Fuji, for a total cost of $21.24.
If g represents the cost per pound of Gala apples, f the cost per pound of Fuji apples, and j the cost per pound of Jazz apples, which system of equations represents this situation?
Answer:
2g + 2f = 5.16
7g + 9f = 21.24
Step-by-step explanation:
Let
Gala = g ; Fuji = f ; jazz = j
g + f + j = 5.16 - - - (1)
j = g + f - - - (2)
From (1):
g + f + g + f = 5.16
2g + 2f = 5.16 - - - (3)
Total pound picked by Tanner = 12
3 Pounds of g ; 5 pounds of f
j = 12 - (5 +3) = 4 pounds
3g + 5f + 4j = 21.24 - - - (4)
3g + 5f + 4(g + f) = 21.24
3g + 5f + 4g + 4f = 21.24
7g + 9f = 21.24 - - - - - (5)
this should be the answer for this question!
Increase £89 by 61%
Give your answer rounded to 2 DP.
Answer:
[tex] 89 \times \frac{61}{100} = \frac{5429}{100} = 54.29[/tex]
89+54.29=143.29
can't figure out this problem can anyone help if so thank you
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........
Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]
Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = [tex]\frac{4}{5}[/tex]
First term of the sequence 'a' = 5
nth term of a geometric sequence = [tex]a(r)^n[/tex]
Therefore, nth term of the given term will be [tex]T_n=5(\frac{4}{5})^n[/tex]
Now we have to find the 10 term of the given sequence.
For n = 10,
[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
Distribute: -1/2(10b + 18)
please i need this before 8:00pm
Answer:
-5b - 9
Step-by-step explanation:
-1/2 (10b) = -5b
-1/2 (18) = -9
Hey Everyone I was asking anyone can help with this problem it would really appreciated.
Answer:
angle G = angle I
HGI=HIJ by RHS fact
HGI=HIJ corresponding angles are alwyas congurrent
help plssss I will do anythinv
b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)
A laptop has a price $300. The store is giving a 15% discount for the laptop. How much will the laptop cost?
10. If the triangle has a perimeter
of 33 inches and has sides
measuring x + 2, X-6, and 2x + 1,
find the value of x.
The population of the United States in 1990 was 85,455,930 in 2003 it was 104,538,348 what was the percent change
Answer:
22.33%
Step-by-step explanation: