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Stolb23 [73]
3 years ago
7

a boy swims down stream at 0.9 miles in the same amount of time that he can swim 0.6 miles up stream. if the rate of the current

is 1.5 mph, how fast can he swim in the water?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0
Let s be the boy's swim speed. Then:
.9/s+1.5=.6/s-1.5
.6s+.9=.9s-1.35
.3s=2.25
s=7.5 mph as the boy's swimming speed
☺☺☺☺

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Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

\Rightarrow x+y=284

\Rightarrow 2y-49+y=284 [using equation (ii)]

\Rightarrow 3y=333

\Rightarrow y=111

From equation (ii),

x= 2\times111-38=173

From equation (iii),

z=173-38=135.

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

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