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4 years ago

Define the following term reciprocal

Mathematics

2 answers:

pentagon [3]4 years ago

8 0

Answer:

given, felt, or done in return

Alenkinab [10]4 years ago

3 0

In any math course you take, reciprocal basically means to flip something. for example, if you had the fraction -3/5 the fraction would then become 5/-3. never flip the negative signs unless you need to negate a fraction in a math problem.

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Ashley came to school 17 out of the last 20 days what percent of the last 20 days did Ashley come to school

stich3 [128]

Answer:

Step-by-step explanation:

6 0

3 years ago

Box of T-shirtsAn empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams.The

butalik [34]

1. Name two possible solutions to the equation W = 250 + 132.5T. What do the solutions mean in this situation?

As you can see the weight of the box is given by:

W = 250 + 132.5T

So using this equation we can find the total weight given x number of t-shirts, for example: Suppose we want to know the total weight if the number of t-shirts is 50:

T= 50:

W = 250 + 132.5(50) = 250 + 6625 = 6875g

In the same way if we know the weight, we can determine the total number of t-shirts, for example, suppose the total weight is 5000g:

5000 = 250 + 132.5T

Let's solve for T:

Subtract 250 from both sides:

5000-250 = 132.5T

4750 = 132.5T

Divide both sides by 132.5:

4750/132.5 = T

38.849 = T

so we can conclude that there were approximately 39 t-shirts

6. Consider the equation 2,900 = 250 + 132.50T. In this situation, what is the solution to the equation and what does the solution tell us?

Basically they are telling us that the weight of the box in this case is 2900:

W = 2900

2900 = 250 + 132.5T

So, we can find the total number of t-shirts in the box solving the equation for T:

Subtract 250 from both sides:

2900 - 250 = 132.5T

2650 = 132.5T

Divide both sides by 132.5:

2650/132.5 = T

20 = T

T = 20

This solution tell us that there were 20 t-shirts in the box

7 0

2 years ago

7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does

FinnZ [79.3K]

Answer:

Step-by-step explanation:

Just divide 350 by 10 since it asks, "How many miles per gallon".

= 35

6 0

3 years ago

The figure below shows triangle NRM with r2 = m2 + n2:

alekssr [168]

Answer:

Option "SSS postulate" is correct.

Step-by-step explanation:

Given that: Triangle NRM has legs m and n, and r is the length of its longest side.

and r² = m² + n².

Now, Ben constructed a right triangle EFD with legs m and n.

and in statement 4, it is proved that f=r.

So, all the three sides of the triangles NMR and EFD are congruent.

So, the triangles are congruent bt the SSS Postulate.

⇒ option "SSS postulate" is correct.

3 0

4 years ago

Read 2 more answers

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

4 years ago