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2 years ago

Find the unit price of 60lbs of honey for $123.99. Round your answer to the nearest cent if necessary.

Mathematics

2 answers:

astraxan [27]2 years ago

6 0

The unit price is $2.07 per lb (pound).

marta [7]2 years ago

4 0

Answer:

$2.07 per pound

Step-by-step explanation:

price divided by amount will get you the unit price. $123.99/60 equals 2.0665.

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

anastassius [24]

Answer:

For k = 36, there is 0 solutions

For other values of k, there is 1

We never got infinite solutions on the system.

Step-by-step explanation:

We have 2 unknowns and 2 equations:

E1 8x1 + x2 = 18

E2 k*22 x1 + 9 x2 = 18

If we multiply the E1 by 9 we obtain

E3 72 x1 + 9x2 = 162

if we substract E3 with E2 we obtain

(72- 2k) x1 = 144

Thus,

x1 = 144/ (72-2k)

That is, if 72-2k = 0, otherwise there is no solution. And 72-2k = 0 when k = 72/2 = 36.

If k is not 36, then

x1 = 144/(72-2k) and we can replace this value to obtain x2 by using E1

x2 = 18-8x1 = 18- 8 * (144/72-2k)

Which is a specific number that depends only on k. Thus,

for k = 36, there is 0 solutions

for other values of k, there is unique solution.

4 0

2 years ago

Holly bought 23 tickets to the baseball game. She got a group rate that gave her $4 off of the regular ticket price for each tic

sveticcg [70]

Answer:

The regular price of the ticket was $12.

Step-by-step explanation:

Let us call $P$ the regular price of the tickets, and if she had bought tickets at this price, the total cost would have been

$23P$ .

But Holly got $4 off the regular ticket price, that means one ticket cost her

$P-4$

and if she bought 23 tickets it cost her

$23(P-4)$

and we are told this equals $184; therefore we have

$23(P-4)=184$

now we solve this equation the following way:

$23(P-4)=184$

$23P-4(23)=184$

$23P-92=184$

$23P=276$

$\boxed{ P=12}$

Thus, the regular price was $12.

5 0

2 years ago

Read 2 more answers

What is the value of 5 in 756? Write and draw to explain how you know

ozzi

The 5 is represented as 50. The number is in the tens place, and 5 in the tens place means 50.
$700 + 50 + 6 = 756$

4 0

2 years ago

Read 2 more answers

The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that austin has in his

pickupchik [31]

5q + 2d = 270
The intercepts can be calculated by first putting d equal to 0 and then q equal to 0. These will be:
5q = 270
q = 54; (0 , 54)
2d = 270
d = 135; (135, 0)
The equation represents the total number of coins in the piggy bank and (0 , 54) shows the number of quarters in the piggy bank when there are no dimes and (0 , 135) shows the number of dimes when there are no quarters.

3 0

2 years ago

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The probability of a train arriving on time and leaving on time is 0.8. The probability that the train arrives on time and leave

kkurt [141]

Answer:

0.9524

Step-by-step explanation:

Note enough information is given in this problem. I will do a similar problem like this. The problem is:

The Probability of a train arriving on time and leaving on time is 0.8.The probability of the same train arriving on time is 0.84. The probability of the same train leaving on time is 0.86.Given the train arrived on time, what is the probability it will leave on time?

Solution:

This is conditional probability.

Given:

Probability train arrive on time and leave on time = 0.8
Probability train arrive on time = 0.84
Probability train leave on time = 0.86

Now, according to conditional probability formula, we can write:

$P(Leave \ on \ time | arrive \ on \ time)$ = P(arrive ∩ leave) / P(arrive)

Arrive ∩ leave means probability of arriving AND leaving on time, that is given as "0.8"

and

P(arrive) means probability arriving on time given as 0.84, so:

0.8/0.84 = 0.9524

This is the answer.

5 0

2 years ago