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3 years ago

WILL GIVE BRAINLIEST

Mathematics

1 answer:

givi [52]3 years ago

7 0

Answer:

<em>a) Since the income is more than the cost, she makes a profit.</em>

<em>b) To make profits, she must sell at least 17 necklaces</em>

Step-by-step explanation:

<u>Inequalities</u>

The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:

C(n) = 135 + 4n

Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:

R(n) = 12n

a) If she sells n=17 necklaces, it will cost:

C(17) = 135 + 4*17 = 203

And the income is:

R(17) = 12*17= 204

Since the income is more than the cost, she makes a profit.

b) To make a profit R(n) > C(n), thus:

12n > 135 + 4n

Subtracting 4n:

8n > 135

n > 135/8

n > 16.875

Thus, to make profits, she must sell at least 17 necklaces

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bazaltina [42]

Answer:

Step-by-step explanation:

1. 120+21=141

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3 years ago

A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at

lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

$Q(t) = Q(0) - at$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that $Q(0) = 8, a = 7/10 = 0.7$ . So

$Q_{r}(t) = 8 - 0.7t$

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that $Q(0) = 6, a = 1/5 = 0.2$ . So

$Q_{b}(t) = 6 - 0.2t$

After how many hours will both candles be the same height ?

This is t when

$Q_{r}(t) = Q_{b}(t)$

$8 - 0.7t = 6 - 0.2t$

$0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2$

Multiplying by (-1)

$0.5t = 2$

$t = \frac{2}{0.5}$

$t = 4$

Both candles will have the same height after 4 hours.

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4 years ago

Braden treated his sister to lunch while visiting her in Dayton. Their lunch cost $200, and the

storchak [24]

Answer:

$232

Step-by-step explanation:

plz give brainest

3 0

3 years ago

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When

Lapatulllka [165]

Answer:

6.56% probability that a real emergency situation exists.

Step-by-step explanation:

We have these following probabilities:

A 0.4% probability that a real emergency situation exists.

A 99.6% probability that a real emergency situation does not exist.

If an emergency situation exists, a 95% probability that the alarm sounds.

If an emergency situation does not exist, a 2% probability that the alarm sounds.

The problem can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem:

What is the probability of a real emergency situation existing, given that the alarm has sounded.

P(B) is the probability of there being a real emergency situation. So $P(B) = 0.004$ .

P(A/B) is the probability of the alarm sounding when there is a real emergency situation. So P(A/B) = 0.95.

P(A) is the probability of the alarm sounding. This is 95% of 0.4%(real emergency situation) and 2% of 99.6%(no real emergency situation). So

P(A) = 0.95*0.04 + 0.02*0.996 = 0.05792

Given that the alarm has just sounded, what is the probability that a real emergency situation exists?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.004*0.95}{0.05792} = 0.0656$

6.56% probability that a real emergency situation exists.

6 0

3 years ago

Reposed cause the first one didn’t have the pictures. Need help with this <br> Thanks :)

Naily [24]

Answer:

(d) x = -3/4; y = -3 1/2

Step-by-step explanation:

You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.

<h3>Interpolation</h3>

The idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.

In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.

<h3>Application</h3>

<u>horizontal coordinate</u>

The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.

x = -3/4

<u>vertical coordinate</u>

The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.

y = -3 1/2

6 0

2 years ago

Read 2 more answers