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Cerrena [4.2K]
3 years ago
7

Miscate owns Cool Groove, a company that sells and installs automobile sound systems. Cool Grove charges $185 for each small sys

tem and $235 for each large system installed. Harroda reported that last month her company installed 135 systems and collected $27.225 in total receipts. During that month, how many small systems and how many large systems were installed?​
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

1. One way to work mixture problems like this is to consider the effect of all sales being for the smaller amount. In that case, revenue would be 135*$185 = $24,975. That is $2250 less than actual revenue. For each large system sold instead of a small one, there is $50 in additional revenue. The $2250 in additional revenue requires that 2250/50 = 45 large systems be sold.

2. We know that Rafael's overtime pay is $912.60 - 40*$14.40 = 336.60. None of the offered answers computes to the correct pay amount.  

If you made a typo and the correct total pay is $921.60, then an overtime rate of 1.5 times base pay will require 16 hours of overtime; an overtime rate of 3 times base pay will only require 8 hours of overtime. Overtime hours = $921.60/$14.40 = 64 equivalent hours. Subtracting 40 hours of straight time, the resulting product of hours and multiplier will be 64 - 40 = 24. That is it could be 16 hours at 1.5 times, or 8 hours at 3 times.

3. One of the problems here is to figure the number of hours in a month. If you consider there to be 4 1/3 weeks in a month, Robin needs to work $3280/(13/3)/14.90 = 50.80 equivalent hours. The 10.80 equivalent overtime hours will be 10.80/1.5 = 7.20 clock hours, closest to 7.25 among the answers. (Other choices for weeks/hours in a month give answers that match none of those offered.)

4. $750/$19.50 = 38.46, closest to 38.50 among the answers offered.

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Answer:

Step-by-step explanation:

Length = L.

Width = 2L-3.

A = L * W = 170.

L * (2L-3) = 170.

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Step-by-step explanation:

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Which of the following expressions are equivalent to 10-12
ladessa [460]

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3 years ago
James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would
miskamm [114]

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

Solution :

Interest on $3500 after 3 years is :

I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

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3 years ago
Find the GCF of the terms of the polynomial.
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<h3>Answer:   2z^3</h3>

====================================================

Explanation:

The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.

----------

For the variable portions, we can

  • write z^5 as z^3*z^2
  • write z^4 as z^3*z^1
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Each time we see z^3 show up, so this is the largest common factor among the three variable terms.

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The two results we got were 2 and z^3

Putting the two results together, we end up with the overall GCF of 2z^3

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