Ask question

Ask question

All categories

1 year ago

7

Mayerlin read 28 pages in of an hour. At what rate, in pages per hour, did she read?

1 answer:

strojnjashka [21]1 year ago

6 0

Answer:

28 pages per hour

Step-by-step explanation:

It says "Mayerlin read 28 pages in of an hour"

You might be interested in

MATHEMATICS: A boy leaves home at 09:15 hours and arrives at 10:05 hours. If he travels nonstop at an average speed of 6kmh ,wha

love history [14]

Answer:

5 km.

Step-by-step explanation:

We have to calculate the distance if we apply the speed formula that would be the distance in a given time:

v = d / t

therefore, if we solve for distance it would be:

d = v * t

Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:

50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:

d = 6 * 0.8333

d = 5

In other words, the distance between the school and the house is 5 km.

5 0

2 years ago

find a set of parametric equations of the line the line pases through the point (2,3,4) and is parallel to the xz-plane and the

joja [24]

Answer:

$x=2, y=3, z=4+t$

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

$u= (u_x, u_y, u_z)= (0,0,1)$

Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

$x= P_x + u_x t$

$y= P_y + u_y t$

$z= P_z + u_z t$

Where the point given $P=(2,3,4)= (P_x , P_y, P_z)$

And then since we have everything we can replace like this:

$x= P_x + u_x t 2+ 0*t = 2$

$y= P_y + u_y t= 3+ 0*t = 3$

$z= P_z + u_z t = 4+ 1t = 4+t$

$x=2, y=3, z=4+t$

6 0

2 years ago

Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, t

-Dominant- [34]

Answer:

p = 39 f = 44

Step-by-step explanation:

p = $ 1.73

f = $ 1.44

<u><em>equation </em></u>

p + f = 83

1.73 p + 1.44 (83 - p) = $ 130.83

p = 39 (amount of times fruit pies were sold).

Therefore,

<em>p = 39</em>

<em>f = 44</em>

4 0

1 year ago

The graph below represents the average monthly rainfall (y), in inches, in

White raven [17]

Answer:

The amount of rainfall increases as an exponential function of time.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago