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2 years ago

What is the lcd of 10/11,29/44

1 answer:

4 0

The LCM of 11 and 44 is 44.

If you wanted to add those it would look like this:
10/11 + 29/44
40/44 + 29/44
69/44 or 1 25/44

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Michael is a salesperson. Be sold an emerald for 637.75 and earns 8% commission. How much commission did Michael earn?

Zolol [24]

Answer:

He earns $51.02

Step-by-step explanation:

If Michael earns an 8% commission, then he is paid 8% of what he sells it for. Therefore, he earns 8% of $637.75.

Your equation is y = 0.08 × 637.75

y = 51.02

He earns $51.02

8 0

2 years ago

Solve x'=5t(sqrt(x)) x(0)=1

LekaFEV [45]

Answer:

$2\sqrt{x}=\frac{5t^2}{2}+2$

Step-by-step explanation:

Given: $\frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1$

Solution:

A differential equation is said to be separable if it can be written separately as functions of two variables.

Given equation is separable.

We can write this equation as follows:

$\frac{dx}{\sqrt{x}}=5t\,dt$

On integrating both sides, we get

$\int \frac{dx}{\sqrt{x}}=\int 5t\,dt$

Formulae Used:

$\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}$

So, we get solution as $2\sqrt{x}=\frac{5t^2}{2}+C$

Applying condition: x(0) = 1, we get $C=2$

Therefore, $2\sqrt{x}=\frac{5t^2}{2}+2$

8 0

2 years ago

What happens to the parabola when a<1 compared to the parent function?

d1i1m1o1n [39]

Answer: The parabola is wider than the parent function

<u>Step-by-step explanation:</u>

If "a" is a fraction less than one, then the parabola becomes wider.

See graph (attached)

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3 0

2 years ago

The angle of elevation to the top of a very tall building is found to be 13° from the ground at a distance of 1 mi from the base

Marta_Voda [28]

Tan(Θ)=(h/distance from base)
Θ=13 degrees, 1mile=5280 ft
tan(13)=(h/5280 ft)
5280tan(13)=h
h=1218.984049
h=1219 ft

4 0

2 years ago

There are 495 coins in a bottle.

Scilla [17]

Answer:

The total value is £268.20.

Step-by-step explanation:

Given : There are 495 coins in a bottle.

1/3 of the coins are £1 coins.

124 of the coins are 50p coins.

The rest of the coins are 20p.

To find : Work out the total value of the 495 coins?

Solution :

According to question,

Total coins = 495

$\frac{1}{3}$ of the coins are £1 coins.

i.e. The number £1 coins are

$\frac{1}{3}\times 495 =165$

So, We have £165

124 of the coins are 50p coins.

50p=£0.50

Number of coins were

$124\times0.50 =62$

So, We have £62 .

Remaining coins were,

$495-(124+165)=206$

i.e. remaining coins are 206 are of 20p.

20p=£0.20

Number of coins were

$206\times0.20 =41.20$

So, We have £41.20 .

Now, Adding all of them together,

i.e. £165+£62+£41.20=£268.20

So, The total value is £268.20.

5 0

3 years ago