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seraphim [82]
3 years ago
6

The Zigzag River is 114 miles longer than twice the Petite River. If the Petite River is 46 miles long, how long is the Zigzag R

iver?
Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
Z = 114 + 2p
p = 46

Plug in 46 for 'p' in the first equation.

z = 114 + 2p

z = 114 + 2(46)

Multiply:

z = 114 + 92

Add:

z = 206

So the Zigzag river is 206 miles long.
Furkat [3]3 years ago
4 0


114+46=160

The zig zag river is 160 miles long.

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tigry1 [53]

Answer:

<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>

Step-by-step explanation:

To solve this problem we have to find the slope of each case. The definition of a slope is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

Where (x_{1};y_{1}) is the first point, and (x_{2};y_{2}) is the second point.

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<h3>Sam.</h3>

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Applying the definition of the slope, we have:

m_{sam} =\frac{50-20}{5-2}=\frac{30 \ miles}{3 \ hour}=10 \ miles/hour

This relation means that Sam cycled 10 miles per hour.

<h3>Bobby.</h3>

Let's use the points (2;18) and (6;54)

m=\frac{54-18}{6-2}=\frac{36 \ miles}{4 \ hour}=9 \ miles/hour

Bobby cycled 9 miles per hour.

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7 0
2 years ago
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Answer:

364/27

Step-by-step explanation:

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The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

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                                3231-n = 3-3

 

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                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

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