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2 years ago

A school bought 32 new desks each desk coast 24$ estimate how much the school spent on the new desks

1 answer:

5 0

You would solve this with multiplication. If each desk costs $24 and they bought 32 desks then to find out to total cost of all the desks you would multiply 24x32

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Solve the given proportion. XIN = = 7 49 x = [?] Enter Ar

telo118 [61]

<h3 /><h3> $\frac{x}{7} = \frac{7}{49} \\ x = \frac{7}{49} \times 7 \\ x = \frac{49}{49} \\ x = 1$ </h3>

- BRAINLIEST answerer

6 0

2 years ago

Read 2 more answers

Twice a number (x) is less than 18

pashok25 [27]

2x < 18.
The solution to the inequality would then be x < 9.

5 0

2 years ago

Read 2 more answers

Find the general solution to the differential equation modeling how a person learns:

Luda [366]

Here we want to solve differential equations, we will see that the general solution is:

$y = A*e^{-t} + 100$

We want to solve the differential equation:

$\frac{dy}{dt} = 100 - y$

From this is pretty clear that y is an exponential function, with an exponent of -1*t.

We can write it generally as:

$y = A*e^{-t} + B\\\\\frac{dy}{dt} = -A*e^{-t}$

Then if we set B = 100 we get:

$y = A*e^{-t} + 100\\\\\frac{dy}{dt} = -A*e^{-t} \\\\\frac{dy}{dt} = -A*e^{-t} - 100 + 100 = -y + 100$

So we just found the general form of the function.

Now we have two cases:

A) y(0) = 35

$y(0) = A*e^{-0} + 100 = 35\\= A + 100 = 35\\\\A = 35 - 100 = -65$

In this case, the function is:

$y = -65*e^{-t} + 100$

B) y(0) = 125

$125 = A*e^0 + 100\\\\\125 - 100 = A\\\\25 = A$

In this case, the function is:

$y = 25*e^{-t} + 100$

Now we want to see which one of the two can represent how a person learns. Just look at the graph below:

The green line is the one for y(0) = 35, and the blue one is for y(0) = 125.

Notice that for small values of t, the blue function is really large, thus it can't really model how a person learns (is larger for smaller values of t than for larger values).

So y(0) = 35 represents better how a person can learn (but not exactly, because you can see that it eventually becomes almost constant, which is something that really does not happen) so the correct option is D: none of the above.

If you want to learn more, you can read:

brainly.com/question/353770

3 0

2 years ago

Jamie recently drove to visit her parents who live 510 miles away. On her way there her average speed was 25 miles per hour fast

tino4ka555 [31]

Answer:

Average speed in mph with which he goes to parent's place = 75 mph

Average speed with he comes back = 50 mph

Explanation:

Distance between Jamie's house and parent's house = 510 miles.

Let u be the average speed in mph with which he goes to their place.

We have the average speed of coming back = (u -25) mph

Total time of journey considering both ways = 17 hours.

Time taken to go their home = 510/u hours

Time taken for coming back = 510/(u-25) hours

So total time = $\frac{510}{u} +\frac{510}{u-25}$

Equating both times we have

$\frac{510}{u} +\frac{510}{u-25}=17\\ \\ 510u-12750+510u=17u^2-425u\\ \\ 17u^2-1445u+12750=0\\ \\ u^2-85u+750=0\\ \\ (u-75)(u-10)=0$

u = 75 mph or u =10 mph

If the average speed in mph with which he goes to their place = 75 mph, average speed with he comes back = 75-25 = 50 mph

If the average speed in mph with which he goes to their place = 75 mph, average speed with he comes back = 10-25 = -15 mph(Not possible)

So, Average speed in mph with which he goes to parent's place = 75 mph

Average speed with he comes back = 50 mph

5 0

2 years ago

How should we prove this ? Boc=90-1/2angle bac

Hatshy [7]

We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );

In the same way, m(<BCO) = (1/2) ·( x + y);

m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );

But, x + y + z = 180;

Then, m(<BOC) = 180 - (1/2)·( x + 180 );

Finally, m(<BOC) = 90 - (1/2)·x;

So, m(<BOC) = 90 - (1/2)·m(<BAC).

8 0

2 years ago