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3 years ago

Find a constant variation for each direct variation then find the value of Y when X= 3/4.

Mathematics

1 answer:

kvasek [131]3 years ago

8 0

$y = 2$
these words are to meet the 20 character minimum

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A salmon is swimming in a river that is flowing downstream at a speed of 2 miles per hour. The slamon can swim 12 miles upstream

Olegator [25]

Answer:

The speed of the salmon in still water is 6 mi/h

Step-by-step explanation:

When an object moves with a speed So (So measured in still water) in a river with speed Sr:

If the object moves along the current (downstream), then the actual speed of the object will be:

S = So + Sr

If the object moves upstream, then the velocity will be:

S = So - Sr

In this case we know the speed of the river downstream is 2 mi/h

Sr = 2mi/h

And we know that the salmon can swim 12 miles upstream in the same time (T) that it can swim 24 miles downstream.

Here you need to remember the relation:

Distance = Time*Speed.

Then we know that:

24 mi = (So + 2mi/h)*T

12 mi = (So - 2mi/h)*T

Now we can take the quotient of these two equations to get:

(24mi/12mi) = ( (So + 2mi/h)*T)/((So - 2mi/h)*T)

2 = (So + 2mi/h)/(So - 2mi/h)

Let's multiply both sides by the denominator of the right part:

2*(So - 2mi/h) = (So + 2mi/h)

2*So - 4mi/h = So + 2mi/h

Now we need to isolate So, the speed of the salmon in still water:

2*So - So = 2mi/h + 4mi/h

So = 6mi/h

The speed of the salmon in still water is 6 mi/h

7 0

3 years ago

Each unit on the coordinate grid represents 1 yard, the rectangular pool and triangular hot tub shown are both in need of covera

Hunter-Best [27]

The answer is 29 square yards.

4 0

3 years ago

Read 2 more answers

The sum of two numbers is 361 and the difference between the two numbers is 173. What are the two numbers?

Anika [276]

Divide 361 by 2
180.5
Divide 173 by 2
86.5
180.5+86.5=267
One of the # is 267
361-267=94
The other is 94

8 0

3 years ago

Y _minus 7 equal 10.find y

charle [14.2K]

Answer:

y=17

Step-by-step explanation:

y-7=10

transpose 7

y=10+7

y=17

5 0

3 years ago

Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

quester [9]

Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

6 0

3 years ago