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dem82 [27]
3 years ago
9

The Kentucky Derby distance is 20 furlongs. How far is the Kentucky Derby in​ rods and fathoms?

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

The distance is equivalent to 800 rods and 2200 fathoms.

Step-by-step explanation:

Given:

The distance of the Kentucky Derby in furlongs is 20 furlongs.

Now, in order to convert the distance in rods and fathoms, we use the conversion factor for each.

We know that,

1 furlong = 40 rods.

Therefore, the conversion factor is \frac{40\ rods}{1\ furlong}

So, 20 furlongs is equivalent to rods =20\ furlongs\times \frac{40\ rods}{1\ furlong}=800\ rods

Therefore, 20 furlongs is equivalent to 800 rods.

Now, we also know that,

1 furlong = 110 fathoms

So, the conversion factor is \frac{110\ fathoms}{1\ furlong}

So, 20 furlongs is equivalent to rods =20\ furlongs\times \frac{110\ fathoms}{1\ furlong}=2200\ fathoms

Therefore, 20 furlongs is equivalent to 2200 fathoms.

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if a florist is making identical bouquets using 72 red roses 60 pink roses and 48 yellow roses what is the greatest number of bo
xeze [42]

The <em>correct answer</em> is:

12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.

Explanation:

To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:

72=6\times 12 \\6=2\times 3 \\12=4\times 3 \\4=2\times 2 \\72=2\times2\times2\times3\times3 \\ \\60=6\times 10 \\6=2\times 3 \\10=2\times 5 \\60=2\times2\times3\times5 \\ \\48=12\times4 \\12=4\times3 \\4=2\times 2 \\4=2\times 2 \\48=2\times2\times2\times2\times3

We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.

72/12 = 6; this means we use 6 red roses in each bouquet.

60/12 = 5; this means we use 5 pink roses in each bouquet.

48/12 = 4; this means we use 4 yellow roses in each bouquet.

8 0
3 years ago
Read 2 more answers
Arturo bought some belts online for $73. He used a coupon code to get a 20%
Oksanka [162]

Answer:

The processing fee will cost $8.76

Step-by-step explanation:

the price after the discount:

20% = 0.2

100% = 1

1 - 0.2 = 0.8

0.8

$73 • 0.8 = $58.4

cost of processing fee:

15% = 0.15

$58.4 • 0.15 = $8.76

7 0
2 years ago
Please help. 10 points
mestny [16]
It's either A or C but correct me if I'm wrong :)
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Find the value of x<br>a) 5<br>b) 4<br>c) 6<br>d) 7​
Simora [160]
B because 20- 16 equals 4 I guess
6 0
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1.Graph the functions on the same coordinate plane.
mel-nik [20]
1. solutions are intersection points
they intersect at x=4 and x=1 or the points (4,0) and (1,0)
select 4 and 1



2.
sub -x for x
if you get the same function, it is even
if you get the exact negative of the function, it is odd
if neither, then neither
basically
f(-x)=f(x) is even
f(-x)=-f(x) is odd
and neither is neighter

so
f(-x)=-2(-x)²+3(-x)
f(-x)=-2(x)²-3x
f(-x)=-2x²-3x
that is not the same function nor is it the exact oposite
neither even nor odd




3.
domain is the time you can use
obvioulsy start at time=0
and stop when it hits the ground because it shouldn't go underground
so domain is all real numbers from 0 to 5 including 0 and 5
that is [0,5]



4. (the (f+g)(x) one)
(f+g)(x)=f(x)+g(x)
so that is just
x²-36+x³+2x²-10=
x³+3x²-46


5. just mulitply them
x⁷+9x⁴-9x³-81

6. minus them
(3x⁵+6x²-5)-(2x⁴+7x²-x+16)
3x⁵+6x²-5-2x⁴-7x²+x-16
3x⁵-2x⁴-x²+x-21
4 0
3 years ago
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