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jarptica [38.1K]
3 years ago
6

Dana can travel 9 miles in her rowboat in 6 hours against the current. With the current, it takes 4 hours to row the same distan

ce. Which system of linear equations can be used to find the speed of the rowboat (x) in still water and the rate of the current (y)?
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer: The equations are

6x - 6y = 9

4x + 4y = 9

Step-by-step explanation:

Let x represent the speed of the row boat in still water.

Let y represent the speed of the current.

Dana can travel 9 miles in her rowboat in 6 hours against the current. This means that the total speed at which she travelled is

(x - y) miles per hour.

Distance = speed × time

Distance travelled against the current is expressed as

9 = 6(x - y)

6x - 6y = 9

With the current, it takes 4 hours to row the same distance. This means that the total speed at which she travelled is

(x + y) miles per hour.

Distance travelled with the current is expressed as

9 = 4(x + y)

4x + 4y = 9

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strojnjashka [21]

Answer:

Slope <em>m</em> = -3

y-intercept (0, 0)

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
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Step-by-step explanation:

<u>Step 1: Define</u>

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<em>Identify Parts.</em>

Slope <em>m</em> = -3

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5 0
3 years ago
If 10x + w = 41 and w = 1, then 10x + 1 = 41<br><br><br> 20 points
fgiga [73]

Answer:

x = 4

Step-by-step explanation:

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3 0
2 years ago
3(5x – 10) &lt; 30x solve for x
Gnesinka [82]

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

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4 0
3 years ago
Read 2 more answers
A local Honda dealership collects data on customers. Here is data from 311 customers who purchased a Honda Civic. Hybrid Honda C
Kobotan [32]

Answer:

Correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

Step-by-step explanation:

Denote the variable as follows:

HHC = Hybrid Honda civic

SHC = Standard-engine Honda Civic

M = male

F = female

The data provided is:

            HHC        SHC      Total

M            77            117         194

F             34            83          117

Total       111          200         311

Compute the probability distribution as follows:

P (M\cap HHC)=\frac{77}{311}=0.2476

P(M\cap SHC)=\frac{117}{311}= 0.3762

P(F\cap HHC)=\frac{34}{311}= 0.1093

P(F\cap SHC)=\frac{83}{311}= 0.2669

P(M) =\frac{194}{311}= 0.6238

P(F)=\frac{117}{311} =0.3762

P(HHC)=\frac{111}{311}= 0.3569

P(SHC)=\frac{200}{311}= 0.6431

The probability table is:

             HHC          SHC      Total

M         0.2476      0.3762    0.6238

F          0.1093       0.2669    0.3762

Total    0.3569      0.6431      1.0000

Consider the probability distribution above.

The proportion of women purchasing a standard engine Honda civic is less then that for men.

Thus, the correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

6 0
3 years ago
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