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Georgia [21]
1 year ago
10

Anne has 24 more cards than Devi.  Anne finds that 3/5 of Devi's cards are equal to 1/2 of her cards.  How many cards does Anne

have?
Mathematics
1 answer:
Sophie [7]1 year ago
8 0
A=24xD
3/5xD=1/2xA
3d/5=12
d=12x5/3
d=20
a=480
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Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100
lara [203]

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

3 0
2 years ago
Read 2 more answers
Nicole shines a light from a window of a lighthouse on a cliff 250 feet above the water level. Nick 10 feet above the water leve
Allushta [10]

Answer:

4585.8 feet

Step-by-step explanation:

If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:

250 - 10 = 240

The hypotenuse of the triangle is the length of line of sight. We can call this "x".

So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:

Sin(3)=\frac{240}{x}

Now, we cross multiply and solve for x, line of sight length:

Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8

3 0
1 year ago
At time t=3, there are 2.5 cubic feet of water in the tub. Write an equation for the locally linear approximation of W at t=3, a
velikii [3]

Answer:

W=0.8333*t

2.917 ft³

Step-by-step explanation:

At time t=3, there is 2.5 ft³ of water in the tub

Finding the relation will be;

3=2.5

1=?

Rate=0.8333 ft³/min

W=0.8333 ft³ / min

W=0.8333*t

At t=3.5 will be;

1 min = 0.8333

3.5 min =?

Apply cross-production

3.5*0.8333 =2.917 ft³

4 0
2 years ago
Read 2 more answers
The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP
Serhud [2]

Answer:

<h2>length =  \frac{25}{28}</h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3>length =  \frac{area}{width}</h3>

So we have

<h3>length =  \frac{25}{42}  \div  \frac{4}{6}  \\  =  \frac{25}{42}  \times  \frac{6}{4}  \\  =  \frac{25}{7}  \times  \frac{1}{4}</h3>

We have the final answer as

<h3>\frac{25}{28}</h3>

Hope this helps you

8 0
2 years ago
Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm
Andreyy89
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

4 0
2 years ago
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