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3 years ago

How many solutions does 15x+12y=18 have

Mathematics

1 answer:

dangina [55]3 years ago

8 0

Answer: 2 or more.

X and Y could be anything, so there are at least two answers

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Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

3 years ago

Read 2 more answers

Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west

vazorg [7]

240 divide it

2400/10

hope this helps

8 0

3 years ago

Read 2 more answers

What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters

devlian [24]

Answer:

The volume of a cylinder is $1782\ cm^3$ .

Step-by-step explanation:

We have,

Height of cylinder, h = 7 cm

Diameter of cylinder, d = 18 cm

Radius, r = 9 cm

It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

$V=\pi r^2h\\\\V=\dfrac{22}{7}\times (9)^2\times 7\\\\V=1782\ cm^3$

So, the volume of a cylinder is $1782\ cm^3$ .

3 0

3 years ago

What is the average rate of change of y=cos(2x) on the interval 0 pi/2?

Snezhnost [94]

Jesus is the answer to this

7 0

3 years ago

Read 2 more answers

Monique made several batches of soup.

const2013 [10]

Answer:

8 batches

in workings show whats left over but not counted.

As a batch its a whole number as the multiplier will usually be the fraction

and fraction / fraction should always show fraction but the whole number given with a remainder can be shown if not a whole number.

Step-by-step explanation:

6 1/2 = 6.5

and ;

3/4 of a pound = 0.75 of 1 pound

6.5 / 0.75 = 8.7 or in full workings write = 8.6666.....7

8.7/ 1 = 8 batches with 0.7 or 0.66667 left over

Answer In fraction for exam question given in fraction 8.7 = 8 batches

with 7/10 left over.

4 0

2 years ago