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Hatshy [7]
4 years ago
14

Martin had 7 pounds of grapes left and gave away 2/5 of them explain how to use comparable numbers to estimate the amount of gra

pes he gave away
Mathematics
2 answers:
OLga [1]4 years ago
8 0

Answer:

See below  

Step-by-step explanation:

<em>Compatible numbers</em> are numbers that are easy to use in mental arithmetic.

Martin gave away ⅖ of 7 lb of grapes, so the amount he gave away was

⅖ × 7 lb

⅖ is close to ²/₄ (½), and it is easy to take half of something mentally.

Half of 7 is about 3, so Martin gave away about 3 lb of grapes (the exact answer is 2.8 lb).

slamgirl [31]4 years ago
8 0

Answer:

Find a number close to Two-fifths that can be mentally multiplied by 7.

A number close to Two-fifths is One-half.

Multiply 7 by One-half.

The estimate is 3.5 pounds.

Step-by-step explanation:

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What is the constant term in the expression 6x^3y + 7x^2 + 5x + 4?
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Element X decays radioactively with a half life of 15 minutes. If there are 960 grams of Element X, how long, to the nearest ten
labwork [276]

An equation is formed of two equal expressions. It will take for the radioactive element to decay from 960 grams to 295 grams in 25.54 minutes.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The radioactive decay of an element is given by the formula,

N = N_0 \cdot e^{-\lambda t}

Given the half-life of the element is 15 minutes, therefore, we can write,

\dfrac12 =  e^{-\lambda\times 15}\\\\\ln (0.5) = -\lambda\times 15\\\\\lambda = 0.0462

Now, the time it will take for 960 grams to decay to 295 grams is,

295 = 960 \cdot e^{-0.0462 \times t}\\\\\ln (\dfrac{295}{960}) = -0.0462 \times t\\\\t = 25.54\rm\ minutes

Hence, it will take for the radioactive element to decay from 960 grams to 295 grams in 25.54 minutes.

Learn more about Equation:

brainly.com/question/2263981

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8 0
2 years ago
An arrow is fired at 150 mph what is the rate in km/min
Likurg_2 [28]

The rate at which the arrow is fired in km/min 40 km/min

Step-by-step explanation:

Step 1:

Convert the miles in to km.

We have 1 mile = 1.6 km

So 150 mph = 150*1.6 km/hr = 240 km/hr.

Step 2 :

Convert the hours into minutes.

We have 1 hour = 60 mins

So in one hour the arrow travels 240 km, therefore in 1 min it will take 240/60 mins

The rate at which the arrow is fired in km/min is 240/60 = 40 km/min

3 0
3 years ago
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