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olya-2409 [2.1K]
1 year ago
10

Can you determine what number x represents from the information given? Explain how you got your answer.

Mathematics
2 answers:
masya89 [10]1 year ago
6 0

Answer:

x = 25

Step-by-step explanation:

75 (total amount of people that run) minus 40 (amount of people that lift weights and run) equals 35 (amount of people that run but don't lift weights)

120 (total amount of people surveyed) minus 65 (total amount of people that lift weights) equals 55 (total amount of people that do not lift weights)

55 (total amount of people that do not lift weights) minus 35 (total amount of people that run but don't lift weights) equals 25 (total amount of people that don't run or lift weights.

motikmotik1 year ago
6 0

Answer:

Sample response: Yes, you can determine the number of people who do not run or lift weights by first finding that 55 people do not lift weights, and that 35 people run, but do not lift weights. Subtracting 35 from 55, you get that 20 people do not do either.

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The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?
horrorfan [7]
The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75
8 0
1 year ago
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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a
Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = \frac{850+62x}{x}

     = \frac{850}{x}+62

and g(x) = \frac{1004+51x}{x}

             = \frac{1004}{x}+51

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

\frac{850}{x}+62 = \frac{1004}{x}+51

\frac{1004}{x}-\frac{850}{x}=1004-850

\frac{154}{x}=11

x = \frac{154}{11}=14

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

5 0
1 year ago
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Find 3 rational numbers between ¼ and ½​
ozzi

Answer:

5/16 and 3/8 are two

Step-by-step explanation:

idk a third

8 0
1 year ago
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
nika2105 [10]

Answer:

36c^3m^3x^2

Step-by-step explanation:

  1. you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.
  2. its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
  3. 1.0 g/cm3
  4. then you get the answer 36c^3m^3x^2
4 0
2 years ago
Find the value of cosAcos2Acos3A...........cos998Acos999A where A=2π/1999
Lady bird [3.3K]
Hello,

Here is the demonstration in the book Person Guide to Mathematic by Khattar Dinesh.

Let's assume
P=cos(a)*cos(2a)*cos(3a)*....*cos(998a)*cos(999a)
Q=sin(a)*sin(2a)*sin(3a)*....*sin(998a)*sin(999a)

As sin x *cos x=sin (2x) /2

P*Q=1/2*sin(2a)*1/2sin(4a)*1/2*sin(6a)*....
         *1/2* sin(2*998a)*1/2*sin(2*999a) (there are 999 factors)
= 1/(2^999) * sin(2a)*sin(4a)*...
     *sin(998a)*sin(1000a)*sin(1002a)*....*sin(1996a)*sin(1998a)
 as sin(x)=-sin(2pi-x) and 2pi=1999a

sin(1000a)=-sin(2pi-1000a)=-sin(1999a-1000a)=-sin(999a)
sin(1002a)=-sin(2pi-1002a)=-sin(1999a-1002a)=-sin(997a)
...
sin(1996a)=-sin(2pi-1996a)=-sin(1999a-1996a)=-sin(3a)
sin(1998a)=-sin(2pi-1998a)=-sin(1999a-1998a)=-sin(a)

So  sin(2a)*sin(4a)*...
     *sin(998a)*sin(1000a)*sin(1002a)*....*sin(1996a)*sin(1998a)
= sin(a)*sin(2a)*sin(3a)*....*sin(998)*sin(999) since there are 500 sign "-".

Thus
P*Q=1/2^999*Q or Q!=0 then
P=1/(2^999)

       








7 0
1 year ago
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