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jekas [21]
3 years ago
15

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises i

n 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?
Mathematics
1 answer:
pogonyaev3 years ago
4 0
P- it is amount of exercises
average= \frac{exercises}{hour}
Monday average= \frac{p}{3h}
Tuesday average= \frac{p}{2h}
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
Monday and Tuesday average=\frac{2p}{5}
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Does anyone get this ? if so can u lmk the answer thxxxx:)
IgorLugansk [536]

Given:

In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).

To find:

The equation that represents a line that contain CD.

Solution:

We have,

A(-4,0) and B(0,3)

Slope of AB is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{3-0}{0-(-4)}

m=\dfrac{3}{4}

The slope of line AB is \dfrac{3}{4}.

Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.

In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.

Slope of line AB = Slope of line CD = \dfrac{3}{4}

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line CD is \dfrac{3}{4}, it means the line must be of the form

y=\dfrac{3}{4}x+b

Coefficient of x is \dfrac{3}{4} only in option a.

Therefore, the correct option is a.

7 0
2 years ago
Read 2 more answers
Solve for x in terms of r, s and t : s=2x+t/r
Anna007 [38]

For this case we have the following equation:

s = \frac {2x + t} {r}

We must clear the value of the variable "x" as a function of r, s and t:

If we multiply by "r" on both sides of the equation we have:

rs =2x + t

If we subtract "t" on both sides of the equation we have:

rs-t = 2x

If we divide by "2" on both sides of the equation we have:

x = \frac {rs-t} {2}

Thus, the value of the variable "x" is:

x = \frac {rs-t} {2}

Answer:

x = \frac {rs-t} {2}

4 0
3 years ago
Rewrite the equation y−2=−3/2(x+6) in standard form.
navik [9.2K]

For this case we have that by definition, the standard form of the equation of the line is given by:

ax + by = c

We have the following equation:

y-2 = - \frac {3} {2} (x + 6)

We manipulate the equation algebraically:

y-2 = - \frac {3} {2} x- \frac {3 * 6} {2}\\y-2 = - \frac {3} {2} x \frac {18} {2}\\y-2 = - \frac {3} {2} x-9\\y-2 + 9 = - \frac {3} {2} x\\y-7 = - \frac {3} {2} x\\2 (y-7) = - 3x\\2y-14 = -3x\\3x + 2y = 14

Finally, the equation is:

3x + 2y = 14

Answer:

3x + 2y = 14

3 0
3 years ago
a person on Mars only weighs 38% of their weight on Earth if Carla weighs 78 pounds on Earth how much would you weigh on Mars to
Bumek [7]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ Carla would weigh 30 pounds.

38/100 x 78 = 29.64

29.64 rounded to the nearest pound is 30.

So, Carla would weigh 30 pounds.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

8 0
3 years ago
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GEOMETRY Can anyone help for brainly, this is one of five questions, a (rotation, reflection, or translation) of 90° (clockwise,
lara31 [8.8K]

Answer:

See below-

Step-by-step explanation:

It depends on if you are transforming O to P or P to O

O to P would be rotate counterclockwise translate down 4

using the point (-3,2) from P and it's corresponding point from O (6,3)

rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)

so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4

if you are transforming O to P is would be the opposite

rotate 90 clockwise and translate up 4

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3 years ago
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