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Ket [755]
4 years ago
15

the cost for the fuel and maintenance of a go cart is given by c=10x+900 where x is the number of rides. it costs $25 per ride.

How mane rides does it take to break even?
Mathematics
2 answers:
Makovka662 [10]4 years ago
7 0
You times 10 *25 then addd ur number then u get 1,200
harina [27]4 years ago
7 0
To break even, <span>profits must be greater than or equal to the costs.

</span>Set up an inequality where the total earnings from rides (25x) is greater than or equal to the cost of maintaining the rides: (25x \geq 10x+900<span>)

Solve for x by subtracting 10x from both sides, then dividing by 15 on both sides:
</span>25x \geq 10x+900
15x \geq 900
x \geq 60

You will need at least 60 rides to break even.
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Step-by-step explanation:

7 0
4 years ago
A 1313​-foot piece of string is cut into two pieces so that the longer piece is 44 feetfeet longer than twice the shorter piece.
Kitty [74]

Answer:

423

Step-by-step explanation:

Start by setting up a formula.

x = the shorter piece

total = 1313

longer piece = (x*2) + 44

x + (x*2) + 44 = 1313

Simplify

3x + 44 = 1313

Now we must solve for x.

Whatever you do on the left side of the equal sign must also be done on the right.

The goal is to get x by itself on the left side.

Do the easiest thing first, which is usually addition or subtraction. In this case, subtract 44 from both sides.

3x + 44 - 44 = 1313 - 44

3x = 1269

Now the only way to cancel out the 3 on the left is to divide by 3. Since 3/3 =1. Remember this must be done on both sides to keep things equal.

3x/3 = 1269/3

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The End

8 0
4 years ago
Prove that : cos10° - sin10° / sin10° + cos10° = tan35°​
Digiron [165]

Step-by-step explanation:

(cos 10° − sin 10°) / (cos 10° + sin 10°)

Rewrite 10° as 45° − 35°.

(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))

Use angle difference formulas.

(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)

sin 45° = cos 45°, so dividing:

(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)

Combining like terms:

(2 sin 35°) / (2 cos 35°)

Dividing:

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3 0
3 years ago
99. What is the greatest prime factor of 5,355?<br> A. 17<br> B. 51<br> C. 119<br> D. 131<br> E. 153
NemiM [27]
Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A



8 0
3 years ago
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