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3 years ago

If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.

Mathematics

1 answer:

bearhunter [10]3 years ago

4 0

Answer:

Step-by-step explanation:

. Start by making a "let statement."

Let

represent the weight of the package.

. Create an algebraic expression.

40.5

pounds

. Isolate for

by dividing both sides by

40.5

pounds

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

⋅

40.5

pounds

⋅

. Solve for

⋅

40.5

⋅

pounds

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

56.7

pounds

∣

−−−−−−−−−−−−−−−

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A sample of 400 grams of radioactive substance decays according to the function A(t) = 400e^-.046t, where t is the time in years

algol13

Answer: There will be 0.04 grams will be left in the sample after 20 years.

Step-by-step explanation:

Since we have given that

$A(t)=400e^{-0.46t}$

Here, Initial amount of radioactive substance = 400 grams

We need to find the amount of substance that will be left in the sample after 20 years.

So, t = 20 years

So, it becomes,

$A(t)=400e^{-0.46\times 20}\\\\A(t)=400e^{-9.2}\\\\A(t)=0.04\ grams$

Hence, there will be 0.04 grams will be left in the sample after 20 years.

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3 years ago

The data below show the expenditure of a housewife for a particular day

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The pie chart below depicts a housewife's expenditures for a certain day.

<h3>What is a pie chart?</h3>

A map wherein the round is split into segments, each one representing a percentage of the total.

The data below show the expenditure of a housewife for a particular day

Item amount

Rice - 120

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Vegetable - 140

Meat - 180

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The pie chart is given below.

More about the pie chart link is given below.

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2 years ago

448 = -5v + 8(-5 - 7v)<br> What is v?

lapo4ka [179]

Answer:

v = -8

Step-by-step explanation:

First we would have to distribute the 8(-5 - 7v). To do this we would multiply 8 by -5 and 8 by -7v to get $448=-5v-40-56v$ . After this, we would have to simplify like terms by subtracting 56v from -5v to get $448=-61v-40$ . We now have to get the variable on one side and to do that, we can add 40 to both sides to get $488=-61v$ . Finally to get the variable alone, we would have to divide both sides by -61 to get $v=-8$ .