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Papessa [141]
3 years ago
6

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

ip, it takes 5 hours.
If x = the rate of the boat in still water and y = the rate of the current, which of the following systems could be used to solve the problem?
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

5(x+y)=6(x-y)=120

x+y=24

x-y=20

x=22

y=2

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Bezzdna [24]

3. $2 for 1 pineapple

4. 35 miles in 1 hour

5. $7 in 1 hour

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7. 175 feet in 1 sec

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7 0
3 years ago
PLEASE HELPP thank youuu
nydimaria [60]

Answer:

#3) 2/5×2= 4/5 full bucket per one hour.

3 0
3 years ago
Answer for brainliest
Vikentia [17]
The answer is c

25/5 is 5

So 5>4
3 0
3 years ago
Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
Phantasy [73]

Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

7 0
3 years ago
A water tank in Stewart's
lara [203]

The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

  • The total leak must be calculated and divided by the 10 minutes duration.  
  • 3/5 = 0.6
  • 1 + 0.6 = 1.6
  • 1.6 / 10 = 0.16

Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Learn more in brainly.com/question/19747831

3 0
2 years ago
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