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taurus [48]
3 years ago
8

Write and solve a system of equations for this question please

Mathematics
1 answer:
andre [41]3 years ago
6 0
Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s  we will use this in the second equation....

2(b+s)=30

b+s=15, now use b found above in this to get:

9+s+s=15

2s+9=15

2s=6

s=3, and since from earlier b-s=9, b=9+s so

b=12

So the speed of the boat is 12mph and the stream is 3 mph
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Fill in the other coordinate for the line 7x - 5y = 21: (4, )
garri49 [273]
7x - 5y = 21....(4,?)...so sub in 4 for x and solve for y
7(4) - 5y = 21
28 - 5y = 21
-5y = 21 - 28
-5y = - 7
y = 7/5

check..
7(4) - 5(7/5) = 21
28 - 35/5 = 21
28 - 7 = 21
21 = 21 (correct)

the other coordinate is 7/5......(4,7/5)
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what is the realtionship between the value of the digital 4 in the numbers 5,412 and the number 54,123?
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3 years ago
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He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma
Kobotan [32]
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

\sf 6\dfrac{2}{3}\div\dfrac{2}{3}

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf\dfrac{20}{3}\div\dfrac{2}{3}

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

\sf\dfrac{20}{3}\times\dfrac{3}{2}

Multiply the numerators and denominators together:

\sf\dfrac{60}{6}

Simplify by dividing:

\boxed{\sf 10}

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