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3 years ago

a swimmer is determined to swim 1/6 of a mile in 4/5 of a minute.if she swam for 1 mile, how many minutes would it take

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

6 0

Answer:

4.2 Minutes

Step-by-step explanation:

skad [1K]3 years ago

6 0

Answer:

x = 4 4/5 minutes

Step-by-step explanation:

We can proportions to solve. Put distance over time

1/6 miles 1 miles

------------------ = -------------------

4/5 minutes x minutes

Using cross products

1/6 * x = 4/5 *1

1/6x = 4/5

Multiply by 6 on each side to get x alone

1/6 * 6 x = 6*4/5

x = 24/5

Changing this to a mixed number

x = 4 4/5 minutes

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10 10 O A. (3,8) B. (6,5) O c. (5,6) O D. (8,3)

Svetradugi [14.3K]

Answer:

B.(6,5)

Step-by-step explanation:

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3 years ago

Which axiom is used to prove that the product of two rational numbers is rational

aliina [53]

Answer:

First, a rational number is defined as the quotient between two integer numbers, such that:

N = a/b

where a and b are integers.

Now, the axiom that we need to use is:

"The integers are closed under the multiplication".

this says that if we have two integers, x and y, their product is also an integer:

if x, y ∈ Z ⇒ x*y ∈ Z

So, if now we have two rational numbers:

a/b and c/d

where a, b, c, and d ∈ Z

then the product of those two can be written as:

(a/b)*(c/d) = (a*c)/(b*d)

And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:

(a*c)/(b*d)

is the quotient between two integers, then this is a rational number.

5 0

3 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

3 years ago

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I need this answer!!!

Kamila [148]

Answer:

2 feet per second

Step-by-step explanation:

6/3 is 2

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4 years ago

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Which of the following graphs represents the slope of -1 - 3

sleet_krkn [62]

Answer:

theres nothing there though

Step-by-step explanation:

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3 years ago