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timama [110]
3 years ago
11

200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount

Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

16

Step-by-step explanation:

Given the equation, 200 + 10x = 120 + 15x, let's solve for x as follows,

Subtract 200 from both sides

200 + 10x - 200 = 120 + 15x - 200

10x = - 80 + 15x

Subtract 15x from both sides

10x - 15x = - 80 + 15x - 15x

-5x = - 80

Divide both sides by -5

\frac{-5x}{-5} = \frac{-80}{5}

x = 16

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A) Write 600 as the product of prime factors.<br> Give your answer in index form.
dlinn [17]

Answer:

3 × 5 × 5 × 2 × 2 × 2

Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

150 × 2 = 300

300 × 2 = 600

Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

4 0
3 years ago
Read 2 more answers
Please answer this math question
IgorC [24]
0.
1/2 = 1/2
No need to add anything
8 0
3 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
3 years ago
Who know how to do this ?
nadya68 [22]
It seems to me this just wants you to add the 3 equations.
2m + 2n +5p


3 0
3 years ago
Please help im stuck on this one i font know how to do inverse operarions​
Goshia [24]

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

*  and :

are inverse  operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

5 0
3 years ago
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