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tatiyna
2 years ago
8

1) Write a system of equations to describe the situation below, solve using any method, and

Mathematics
1 answer:
Aloiza [94]2 years ago
7 0
This situation can be represented by

y = 33x + 223

y = 32x + 239

I still like substitution, so let’s plug in 33x + 223 into the second equation

33x + 223 = 32x + 239

Move the terms into appropriate sides

33x - 32x = 239 - 223

Combine like terms

x = 16

Then plug in x for any equation

y = 32(16) + 239

y = 751

Erin will have to swim 16 laps for a total of 751 meters
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Find the sum of nth term of the series 1+3/2+5/2^2+7/2^3+.......
ioda

Answer:

an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)

sn = 6 - 2·0.5^n·(2·n + 3)


6 0
3 years ago
Find the square root of 256 an cube root of 729​
bekas [8.4K]

Answer:

i)16

ii)9

Step-by-step explanation:

\sqrt{256} \\=\sqrt{16*16} \\=16\\\\ii)\ \sqrt[3]{729}\\ =\sqrt[3]{9*9*9} \\=9

6 0
3 years ago
3 by 8 multiply 100​
Fittoniya [83]

Answer:

37.5

Step-by-step explanation:

3 ÷ 8 = 0.375

0.375 × 100 = 37.5

8 0
3 years ago
Read 2 more answers
What is the value of the 1 in 9.154
Andrej [43]
What is the value of 1 in 9.54, The value of the one is 1 tenth its in the tenths spot

5 0
3 years ago
Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is
maw [93]

There are 120 ways in which 5  riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

Now,

Substituting values,

We get,

^5N_5 = \frac{5!}{(5-5)!}

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5  riders and 5 horses can be arranged.

Learn more about arrangements here

brainly.com/question/15032503

#SPJ4

7 0
2 years ago
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