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svetlana [45]
3 years ago
10

In Ryan Corporation, the first shift produced 5 1/2 times as many light bulbs as the second shift. If the total light bulbs prod

uced were 16,250, how many light bulbs were produced on shift 1?
Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

Step-by-step explanation:

It appears that the number of bulbs produced on the first shift is quite a bit more than the second shift.  5.5 times more, actually.  That means that the first shift's output is based on the second shift's output.  Second shift produced an unknown number of bulbs, so we will call that number x.  First shift produced 5.5 times more, so first shift produced 5.5x.  The total number of bulbs produced between the 2 shifts is given as 16,250, so

x + 5.5x = 16,250 so

6.5x = 16,250 and

x = 2500

The second shift produced 2500 bulbs, and the first shift produced 5.5(2500) = 13,750 bulbs.

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A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x
vivado [14]

Answer:

(D)The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.

Step-by-step explanation:

The piece-wise function, f(x) is defined as follows:

f(x)=\left\{\begin{array}{ccc}-\frac{5}{4}x+90 &0\leq x

f(0)=-\frac{5}{4}*0+90=90\\\\f(16)=-\frac{5}{4}*16+90=70\\\\f(40)=-\frac{3}{8}*40+75=60\\\\f(120)=-\frac{3}{8}*120+75=30\\\\f(160)=-\frac{3}{8}*160+75=15\\\\f(200)=-\frac{3}{8}*200+75=0

Therefore, the table which could represent the function is that which satisfies the points above.

In option D

\left|\begin{array}{c|c}x&f(x)\\--&--\\40&60\\160&15\\200&0\end{array}\right|

<u>The correct option is D</u>

7 0
3 years ago
A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c
Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

\dfrac{120000}{20000}\\\\=\$6

Margin contributed by 2000 guests would be

1.50\times 20000\\\\=\$3000

So, Revenue function would be

6x+3000

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

\dfrac{90000}{20000}\\\\=\$4.5

So, Cost function would be

4.5x+50000

Breakeven point would be

Cost function = Revenue function

6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0
3 years ago
Complete the solution of the equation. Find the value of y when x equals 15.
Mariulka [41]

Answer:

y = -6   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

-15 - 9y = 39

               39 + 15 = 54

-9y =54

y = 54 ÷ -9 = -6

y = -6

8 0
3 years ago
Given g(x)= -x-4, solve for x when g(x) =10
dalvyx [7]

Answer:

10 =  - x - 4 \\ 10 + 4 =  -  \times  \\ 14 =  - x \\ x =  - 14

5 0
3 years ago
Based on the table of values below, find the slope between points where x = 5 and
aleksklad [387]

Answer:

Slope = 1

Step-by-step explanation:

The table gives the values of y corresponding to the values of x.

At x =5, y = 2.

At x = 7, y = 6 and  

At x = 10, y = 7

Now, we have to determine the slope between points where x = 5 and where x = 10.

Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.

Now, slope,  m = \frac{7 - 2}{10 - 5} = 1 (Answer)

3 0
3 years ago
Read 2 more answers
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