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sesenic [268]
3 years ago
6

Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Ju

stin. Heather served 5 more orders than Justin. How many orders did they each serve?
Mathematics
2 answers:
meriva3 years ago
5 0
Write an equation where x = Justin's orders 
93 = (x) + (2x) + (x + 5)
Simplify the equation:
93 = 4x + 5 
Subtract 5 from both sides:
88 = 4x
Divide 4 on both sides:
22 = x
Solve for the orders:
x = 22 = Justin
22(2) = 44 = Chang
22 + 5 = 27 = Heather. 


Hope this helps!

Illusion [34]3 years ago
5 0
Let the # of orders sold by these 3 people be represented by H, C and J.
Then H+C+J=93.
C=2J
H=J+5
Find H, C and J.

Let's eliminate C.  Substitute 2J for C in      H+C+J=93:  H+2J+J = 93
Now let's eliminate H:  Subst. J+5 for H in this last equation:

J+5   +   2J   +   J  =  93   =>       4J + 5 = 93   => 4J = 88.

Thus, J = 88/4 = 22.

J handles 22 orders.
H handles 22+5 (or 27) orders.
C handles the rest:  2(22) (or 44) orders.

Check:  do the numbers 22, 27 and 44 add up to 93, as they must?  Yes.
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3 0
3 years ago
Over the course of a year, a company goes from 115 employees to 124 employees.
just olya [345]

An equation that could be used to find the percent change, p, in the number of employees is:

\begin{array}{l}{p=\frac{\text {change in number of employees}}{\text {previous count}} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}

<h3><u>Solution:</u></h3>

Given that, Over the course of a year, a company goes from 115 employees to 124 employees.

Given that "p" represents the percent change

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

\text { Percent change "p" }=\frac{\text { change in number of employees }}{\text { previous count }} \times 100

Change in number of employees = present count – previous count

So, change in number of employees = 124 – 115 = 9

\begin{array}{l}{p=\frac{9}{115} \times 100} \\\\ {p=\frac{9}{23} \times 20} \\\\ {p=\frac{180}{23}=7.82}\end{array}

The equation that is used to find the percent change is:

\begin{array}{l}{\mathrm{p}=\frac{\text { change in number of employees }}{\text { previous count }} \times 100} \\\\ {\mathrm{p}=\frac{9}{115} \times 100}\end{array}

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3 years ago
What is 118/13 = 59/z?
gulaghasi [49]
If you're finding the value of z, z would equal 13/2 or 6.5
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3 years ago
Read 2 more answers
If the system below were written as a matrix equation, by which matrix could you multiply both sides to obtain a solution?
ludmilkaskok [199]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below are the choices:

A. 
<span>[8 -6] </span>
<span>[-5 4] </span>
<span>B. </span>
<span>[4 -3] </span>
<span>[-2.5 2] </span>
<span>C. </span>
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<span>D. </span>
<span>[-2 2.5] </span>
<span>[3 -4]
</span>
B because it is the inverse of 
<span>(4 6) </span>
<span>(5 8) </span>

<span>Check </span>
<span>(4.0 -3)(4 6) = (1 0) </span>
<span>(-2.5 2)(5 8) = (0 1)</span>
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3 years ago
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andreev551 [17]

Answer:

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Step-by-step explanation:

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