Roy is planning a trip to Iceland. His plane ticket will cost kr 60,170 (60,170 Icelandic krónur), his lodging will cost kr 47,249, he needs kr 39,877 for food, and his Icelandic friend has suggested that he bring at least kr 41,054 for sightseeing and spending money. However, Roy has only kr 160,500 saved up. How much more will he need before he can go on his trip?a. kr 23,350
b. kr 26,673
c. kr 27,850
d. kr 28,741

Answer:

i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what  is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.

Step-by-step explanation:

Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.

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and

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Answer:

Literally, parallel lines are lines that extend in both directions without meeting.

The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws

Step-by-step explanation:

                            Rachel

The definition implies that two lines are said to be parallel if they are both perpendicular to another line.

This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.

Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.

                                             Alex

Alex's definition is correct, and it has no drawback because the definition can  be applied to concepts where parallel lines are used.

                                            Briana

Here, Brianna introduced the concept of slopes.

Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.

Answer:

150 vouchers to wash trucks were sold

250 vouchers to wash compact cars were sold

Step-by-step explanation:

Here, we are interested in calculating the number of each type of vouchers sold.

Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.

Firstly, we know that both sums up to be 400.

Mathematically;

x + y = 400 •••••••••(i)

Secondly,

since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x

Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y

The sum of both gives $1350, which is the total sales.

Mathematically;

4x + 3y = 1350 ••••••(ii)

So we have two equations to solve simultaneously;

x + y = 400

4x + 3y = 1350

Multiply equation i by 4 , we have;

4x + 4y = 1600

4x + 3y = 1350

Subtract equation ii from i, we have 4y-3y = 1600-1350

y = 250

From equation 1, we know that

x + y = 400

This means that;

x = 400 -y

x = 400 -250

x = 150

Answer:

The following system of equations represents the situation:

0.2h + 0.1s = 2

s + h = 15

Step-by-step explanation:

Hi there!

The total amount of yarn is 2 kg and we know that each hat uses 0.2 kg yarn and each scarf uses 0.1 kg. Then, the amount of yarn used per hat times the number of hats made, plus the amount of yarn used per scarf times the number of scarves made will be 2 kg.

h = number of hats

s = number of scarves

0.2h + 0.1s = 2

We also know that the total quantity of items made is 15, then, the number of hats plus the number of scarves will be 15:

s + h = 15

Then, we obtain the following system of equations:

0.2h + 0.1s = 2

s + h = 15

Only for curiosity, let´s solve the system:

Solve for h in the second equation:

h = 15 - s

Replace h in the first equation:

0.2(15 - s) + 0.1s = 2

3 - 0.2s + 0.1s = 2

-0.1s = -1

s = -1/-0.1

s = 10

Then, h = 5

Answer:

0.2h + 0.1s = 2

h + s = 15

Step-by-step explanation:

answer on khan

Answer:  The required solution is b = 0.

Step-by-step explanation:  We are given to solve the following linear equation :

We need to find the value of the unknown variable 'b' in the give equation.

From equation (i), we have

Thus, the required solution is b = 0.