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3 years ago

- Do two points always, sometimes, or never determine a line? Explain

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:

Always

Step-by-step explanation:

if two points lie in a plane, then the entire line containing those points lies in that plane

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A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or F = $2.25 + $0.20(m - 1) wh

gavmur [86]

Answer: Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)

So if F represents the fare, then

F = $2.25 + $0.20(m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20(m - 1). It becomes

7.65 = 2.25 + 0.20(m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles

5 0

3 years ago

Find the value of x in the triangle shown below

wolverine [178]

Answer:

Step-by-step explanation:

3 0

2 years ago

The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun

VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.

We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

$P_{American}=$2.00*A$

And the profit for the British blend is found by using the following equation:

$P_{British}=$1.00*B$

so the total profit is found by adding the two given profits, so we get:

$P_{total}=P_{American}+P_{British}$

$P_{total}=$2.00A+$1.00B$

which can be simplified to:

P=2A+B

which is our objective function.

6 0

2 years ago

Solve for x round to the nearest tenth

lidiya [134]

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

3 0

3 years ago

450 g in the ratio 2:13

jonny [76]

450 g in 2:13

<u>Total proportion asked for </u>=2+13=15

<u>Now comparing g with ratio, or whatever </u>

450/15=30g $\implies$ Therefore 1 in ratio depicts of 30g