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frozen [14]
2 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]2 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.
eduard2 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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Lyrx [107]

Answer:

\sqrt(217)

Step-by-step explanation:

(19)^2=(12)^2

361 - 144 + 217

\sqrt(217)


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2 years ago
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Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. Which system of linear
joja [24]

Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.

Step-by-step explanation:  Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.

Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write

a\leq 2j+3,\\j\geq 14,\\a\leq 35.

Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.

8 0
2 years ago
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the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0
2 years ago
A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If
Alika [10]

Let

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b--------> the total cost in dollars of 5 ounces of beeswax

we know that

a=0.50 \frac{\$}{ounce}*6=\$3

b=2.00 \frac{\$}{ounce}*5=\$10

therefore

<u>the answer is</u>

the total cost in dollars of 6 ounces of coconut oil is a=\$3

the total cost in dollars of 5 ounces ofbeeswax is b=\$10

7 0
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jenyasd209 [6]

Answer:

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