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2 years ago

A shop sells packets of envelopes.

Mathematics

1 answer:

Ivanshal [37]2 years ago

5 0

9514 1404 393

Answer:

5x +20y = T

Step-by-step explanation:

There are 5 envelopes in each of x small packets, for a total of 5x envelopes in small packets.

There are 20 envelopes in each of y large packets, for a total of 20y envelopes in large packets.

The total number envelopes is then ...

T = 5x +20y

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Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

Find the range

For x=400 kWh

$y=0.097(400)=\$38.8$

$y\geq \$38.8$

The range is the interval -----> [38.8, infinite)

7 0

2 years ago

How are the following three expressions different from each other, if indeed they are? do not just state the value of each but e

Lisa [10]

Answer:

Below.

Step-by-step explanation:

Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.

The other 2 have negative values and -2 = -(2) so they have the same value, -4.

8 0

2 years ago

dog brought a new jet ski for $299 down in 14 monthly payments are $57 how much did Doug pay for the jet ski total

Effectus [21]

If he paid $57 monthly for 14 months, the total amount paid is:

$57\times14=798$

He paid $798 in total

8 0

2 months ago

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

2 years ago

What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the

allsm [11]

In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.

In exponential models there is a constant multiplicative rate of change.

The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.

We can test that using several pair of points.

The multiplicative rate of change is calcualted in this way:

[f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5

[5 / 2] / (1 - 0) = 2.5

[2 / 0.8] / (0 - (-1) ) = 2.5

Then, do doubt, the answer is 2.5

6 0

2 years ago

Read 2 more answers