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xz_007 [3.2K]
3 years ago
15

10/16 reduced to the lowest term?

Mathematics
1 answer:
erastova [34]3 years ago
3 0
5/8 is the lowest term
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Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is
Dovator [93]

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

n_1 =6miles

r_1 = 2mph

Casey

c_1 = 8miles

r_2 =1mph

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At n_1 =6miles and c_1 = 8miles

The distance between them is:

d_1 = \sqrt{n_1^2 + c_1^2}

d_1 = \sqrt{6^2 + 8^2}

d_1 = \sqrt{100}

d_1 = 10miles

After 1 hour, their new position is:

New = Old + Rate * Time

n_2 = n_1 + r_1 * 1

n_2 = 6 + 2 * 1 = 8

And:

c_2 = c_1 + r_2 * 1

c_2 = 8 + 1 * 1 = 9

So, the distance between them is now:

d_2 = \sqrt{n_2^2 + c_2^2}

d_2 = \sqrt{8^2 + 9^2}

d_2 = \sqrt{145}

d_2 = 12.04

The rate of change is:

\triangle d = d_2 -d_1

\triangle d = 12.04 -10

\triangle d = 2.04

5 0
3 years ago
21 Last year Chelsea and Sonya took 236 pictures during Thanksgiving. This year Chelsea and Sonya each took the same amount of p
Leokris [45]

Let 'c' represent the number of pictures Chelsea took.

Let 's' represent the number of pictures Sonya took.

For last year's Thanksgiving, c + s = 236

For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).

And we know that for both years, c + s + x = 500.

As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.

236 + x = 500.

Now we have to isolate the x term.

x = 500 - 236

x = 264.

We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).

2c = 264

c = 132

c = s

s = 132.

Both took 132 pictures this year.

4 0
3 years ago
I need helpppppppppppp please
Gnom [1K]

Answer:


Step-by-step explanation:

The answer is 7,000,000

4 0
3 years ago
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Select the equivalent expression. 2^-4= <br> Choose 1 answer<br> a)1/2^4<br> b)-2^4<br> c)(-2)^4
Marrrta [24]

Answer: A 1/2 ^4

Step-by-step explanation:

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2 years ago
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Help‼️‼️‼️Answer part 3,4,5 and give several equations for each show your work‼️
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Answer:

I'd really love to help you but the way you asked made you sound so needy and that just made me not want to answer sorry...

Step-by-step explanation:

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