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Serjik [45]
3 years ago
6

#3: A home security company provides security systems for $5 per week plus an installation fee. The total fee for 12 weeks of se

rvice is $210. Write and solve a linear equation to find the cost of the installation fee.
Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

The installation fee is $150

Step-by-step explanation:

Ok so we need to see how much of the $210 is the installation fee. So first were going to multiply 5 by 12 which equals 60. So now were going to subtract that from the $210 so that gives us...

$210-$60=$150

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The rental fee is 25

Step-by-step explanation:

Total cost = rental fee plus cost per hours * number hours

t = f + 8*h  where t = total cost, f = rental fee, h = hours

73 = f + 8*6

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The x - intercept of the function f(x) = x2 + 4x - 12 is:
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The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the
77julia77 [94]

Answer:

9, 30, and 15.

Step-by-step explanation:

Let the three numbers be a, b, and c.

The sum of them is 54. So:

a+b+c=54

The third number is 6 more than the first. In other words, c=a+6.

The second number is twice the third. In other words, b=2c.

Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).

Let’s substitute them into our equation. So:

a+2(a+6)+(a+6)=54

Solve for a. Distribute:

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Combine like terms:

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Subtract 18 from both sides:

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So, the first number is 9.

The third number is 6 more than the first, so the third number is 15.

The second number is twice the third. So, the second number is 30.

Therefore, our numbers are:

9, 30, and 15.

3 0
2 years ago
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