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zepelin [54]
3 years ago
14

Nadia's father bought a new camera,lens, and case. He rounded the cost of all the items to estimate how much money he would need

. He rounded the cost of the camera to $800,the cost of the lens to $500, and the cost of the case to $200. The actual cost of all three was 1,489. What could the actual cost of all three items be? Show your work answer for camera,lens,case
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0
799, 499, and 191. (I got it off the textbook online.)
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A recently negotiated union contract allows workers in a shipping department 24 minutes for rest, 10 minutes for personal time,
Alik [6]

Answer:7.125 min

Step-by-step explanation:

Given

Resting time =24 min

Personal time=10 min

Delay=14 min

Observed Time=6min/cycle

Performance Rating=95%

Allowance Time=Rest time+Personal time+delay

Allowance time=24+10+14=48 min

Allowance %=\frac{Allowance Time}{Total Time}=\frac{48}{4\times 60}=20 \%

Allowance Factor=\frac{1}{1-0.20}=\frac{5}{4}

Calculate the Normal Time

Normal time=Observed time\timespersonal Time=6\times 0.95=5.7 min

Standard time=Normal time \times Allowance Factor

Standard time =NT\times Allowance factor=5.7\times 1.25=7.125 min

3 0
3 years ago
A box of cereal states that there are 84 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories a
Tamiku [17]

Answer:

first question is 112, second is 336

Step-by-step explanation:

you only need to do is 84÷3/4=112calories

this is one box of cereal state if you want three

box calories just 3×112

3 0
3 years ago
In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
Kate recorded the number of minutes she read each day for the last two weeks in the table.
liubo4ka [24]
The answer is a. I think
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3 years ago
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What is one extensive and one intensive property of marker ink?
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One extensive property of marker ink is volume, whereas one intensive property of marker ink is color. 
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3 years ago
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