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3 years ago

7

Which store is offering the best deal?

2 answers:

Firdavs [7]3 years ago

3 0

i’m pretty sure it’s 8 for 6

Illusion [34]3 years ago

3 0

80 cents each it would be right he’s wrong im right

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The radius of earth is about 6380 km . It is about 3000km larger then the moon write an equation to compute the radius (r) of th

laila [671]

Answer:

Step-by-step explanation:

3 0

3 years ago

A boat on a river travels downstream between two points, 20 mi apart, in one hour. The return trip against the current takes 2 1

kondaur [170]

Answer:

The speed of boat in still water is 14 miles per hour.

The speed of current is 6 miles per hour.

Step-by-step explanation:

Let v represent the speed of boat in still water and c represent speed of current.

We have been given that a boat on a river travels downstream between two points, 20 miles apart, in one hour.

The speed of boat downstream would speed of boat in still water plus speed of current that is $(v+c)$ .

The return trip against the current takes 2 1/ 2 hours. The speed of boat against current would speed of boat in still water minus speed of current that is $(v-c)$ .

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Substituting our given values, we will get:

$v+c=\frac{20}{1}...(1)$

$v-c=\frac{20}{2.5}...(2)$

Adding both equations, we will get:

$v+c+(v-c)=\frac{20}{1}+\frac{20}{2.5}$

$v+c+v-c=\frac{20}{1}+\frac{20}{2.5}$

$2v=20+8$

$2v=28$

$\frac{2v}{2}=\frac{28}{2}$

$v=14$

Therefore, the speed of boat in still water is 14 miles per hour.

To find the speed of the current in the river, we will substitute $v=14$ in equation (1) as:

$14+c=\frac{20}{1}$

$14+c=20$

$14-14+c=20-14$

$c=6$

Therefore, the speed of current is 6 miles per hour.

3 0

3 years ago

Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

as

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

so

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you hav

alina1380 [7]

<span>t=10, so p(10)=430*1.009^10? hope this helps:)</span>

8 0

4 years ago

If your heart rate is 153 beats per minute during strenuous exercise, what is the time per beat in units of seconds?

MrMuchimi

I think it would be 153/60 sec which is 2.55 seconds per beat.

6 0

3 years ago