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lora16 [44]
3 years ago
15

Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

2500

Step-by-step explanation:

Let the first square number be x^2 then the next square number is (x+1)^2.

The difference between these two consecutive numbers is 99.

This implies that:

(x+1)^2-x^2=99

We expand to get:

x^2+2x+1-x^2=99

Simplify:

2x=99-1

2x=98

Divide both sides by 2

x=49

Therefore the value of the larger perfect number is

(49+1)^2=50^2=2500.

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Please, someone help!
katrin [286]

Answer: 1:10,000

Step-by-step explanation:

given data:

distance of the nearest star system = 100,000,000

distance to size ration of the sun earth system = 10,000

therefore;

100,000,000 / 10,000

= 10,000

The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.

5 0
3 years ago
One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled
drek231 [11]

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years

8 0
2 years ago
Write a number of your choice, using the following clues:
guapka [62]

Answer:

90

Step-by-step explanation:

90÷2= 45

90÷3=30

8 0
3 years ago
Read 2 more answers
Find the length of a rectangle if its
Alina [70]

Answer: L = 29cm

Step-by-step explanation:

Let's go!!

To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.

So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.

Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90

Then, you might to solve this system of equation:

2L + 2w = 90

w = L - 13

Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).

Our new system:

L + w = 45

w = L - 13

Using the substituition method:

L + L - 13 = 45

2L = 58

L = 29 cm

the width is 29 - 13 = 16 cm

4 0
3 years ago
Bag of skittles containes 3 colors . red, yellow,, and green - in the ratio of 1:2:5 if there were a total of 32 pieces of candy
steposvetlana [31]
With the 3 colors - red=1, yellow=2 and green=5 - adding up to 8, that is one quarter the total of 32.  Multiply each by 4 and you'll have - 4:8:20.
3 0
3 years ago
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