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frozen [14]
3 years ago
9

Using the following production tally, determine how many total mousetraps were produced during a shift: Quantity per package: 60

Number of packages you sealed: 41 Starting quantity in first package (from previous shift): 52 Ending quantity in your last unsealed package (leave for next shift): 24 Rejected mousetraps: 34
Mathematics
2 answers:
timofeeve [1]3 years ago
3 0
The total number of packages completed was 41 and with 60 moustraps per package so 41 x 60 = 2460. Of these, 52 traps were from the previous shift and 34 were rejects so 2460-52-34 = 2374 produced + 24 in the last unsealed package = 2374 +24 = 2398.
eduard3 years ago
3 0

The solution would be like this for this specific problem:

 

No. of Packages sealed 
= (1 for Previous Shift) + (40 for My Shift) = 41

 

Previous Shift: (60-52) 

My Shift sealed: (40x60)

My Shift unsealed: 24 
Rejected: 34 

 

Total = 8 + 2400 +24 + 34 
= 2466 

 So,  there were a total of 2,466 mouse traps that were produced during a shift.

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When Sanchez left his house this morning, his cell phone was 30% charged and it then started to lose 3% charge for each hour the
Radda [10]

Answer:

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

Step-by-step explanation:

The initial state of the battery on Sanchez's phone is 30% so in time t equals zero the battery should be at that value and as time progresses the battery should lose battery charge at a rate of 3% for each hour. We can write this in an equation form by taking the initial state and subtract it by the rate multiplied by the value of time. We have:

B(t) = 30 - 3*t

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

3 0
3 years ago
!!HELP ASAP!! What is the surface area of the rectangular pyramid below?
creativ13 [48]

Answer:

D. 507 square units

Step-by-step explanation:

surface area of the rectangular pyramid

= area \: of \: base  + 4 \times area \: of \: one \:  \triangle \\  \\  =  {13}^{2}  +  4 \times \frac{1}{2}  \times 13 \times 13 \\  \\  = 169 + 2 \times 169 \\  \\  = 169 + 338 \\  \\  = 507 \:  {units}^{2}  \\

8 0
3 years ago
What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
bezimeni [28]

9514 1404 393

Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

  (x^2 +5/2x +25/16) +27/16 -25/16 = 0

  (x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

  x +5/4 = ±√(-2/16)

  x = -5/4 ±i(√2)/4

The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

7 0
3 years ago
Which polynomial is a difference of two squares? x2 − 16 x2 + 16 x2 − 8 x2 + 8
mart [117]
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
8 0
3 years ago
Please help! I will mark brianliest!!
fgiga [73]

Answer:

Perimeter: 310 units

Step-by-step explanation:

If x=4 and y=5, then the measure of the lengths would be..

8y+19= 8(5)+19= 59

8x+64= 8(4)+64= 96

13y-6= 13(5)-6= 59

16x+32= 16(4)+32= 96

To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59

96=96

To find the perimeter of any shape, we add all the side lengths together

59+59+96+96= 310

<em>Hope I was able to help! Good Luck!</em>

<em />

5 0
2 years ago
Read 2 more answers
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