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9966 [12]
3 years ago
8

A machine packs at a constant rate of 2/3 of a box every 1/2 minuet. What’s is the number of boxes per minute that’s the machine

packs?
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0
For this case what we can do is the following rule of three:
 2/3 of a box ------> 1/2 minutes
 x of a box ---------> 1 minute
 Clearing x we have:
 x = (1 / (1/2)) * (2/3)
 Rewriting:
 x = 2 * (2/3)
 x = 4/3
 Answer:
 the number of boxes per minute that the machine packs is:
 x = 4/3
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snow_lady [41]
Isolate z by itself:

\frac{z}{z^4}

To simplify variables with powers, subtract the smaller power from the bigger power:

4 - 1 = 3
\frac{z}{z^4} = \frac{1}{z^3} = z^{-3}

The exponent will be -3.
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3 years ago
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Jake can make 2 airplane models in 3 hours. At this rate, how many models can Jake complete 7 ½ hours?
Charra [1.4K]

Answer:

5

Step-by-step explanation:

7.5/3= 2.5

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The martins car traveled 468 miles on 18 gallons of gas. Their car averaged how many miles per gallon.
hichkok12 [17]

Answer: 26

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3 years ago
In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in
Yanka [14]
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day  = 3.2    miles
2nd day = 7.5    miles
3rd day  = 9.8    miles
4th day  = 11.5  miles
5th day  = 2.9    miles
6th day  = 3.5    miles

<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run? 

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span>A=\frac{38.4}{6}=6.4mi

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

</span>\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6

∴ \frac{38.4+x}{7}=6

Isolating x:

38.4+x=42

∴ x=42-38.4=3.6

Therefore, she need to run:

\boxed{3.6mi} in order to achieve the goal of 6 miles per day.

4 0
3 years ago
How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help
svetlana [45]

Answer:

(b)  (x-3)(x+4)-18 = (x+6)(x-5)

Step-by-step explanation:

Here , the given expression is P(x) = (x-3)(x+4)-18

Simplifying the given expression ,we get:

(x-3)(x+4)-18 = x(x+4) -3(x+4) -18\\=x^2 + 4x-3x-12-18\\=x^2+x-30\\=x^2 +6x-5x-30\\=x(x+6)-5(x+6)\\=(x+6)(x-5)\\\implies  (x-3)(x+4)-18 = (x+6)(x-5)

So,the given polynomial P(x) can also be written as (x+6)(x-5)

Hence, P(x) = (x-3)(x+4)-18 = (x+6)(x-5)

5 0
3 years ago
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