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elixir [45]
3 years ago
9

A boat traveled 84 miles downstream and back. The trip downstream took 4 hours. The trip back took 28 hours. Find the speed of t

he boat in still water and the speed of the current.
Mathematics
1 answer:
Lesechka [4]3 years ago
6 0
84 divided by 4 =21 , 21x28=588 , so 588 is the speed of the current

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A study of body fat on 250 men collected measurements of 12 body parts as well as the percentage of body fat that the men carrie
MrMuchimi

Answer:

bicep circumference is a measurement of our body part we need to collect all our so we know our body fats.

8 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0,3) (3,0) A. y = -x + 3 B.
qaws [65]
The correct answer is Choice A.

If you plot the points on a graph, you will see that there is a slope of -1 and the y-intercept is (0, 3).

This matches the equation of y = -x + 3 in Choice A.
4 0
3 years ago
Write additive and multiplicative inverse of19/-6 and-2/3<br>​
Sedbober [7]
<h2>Answer:</h2>

Additive inverse of 19/-6 is 19/6

Additive inverse of -2/3 is 2/3

Multiplicative inverse of 19/-6 is -6/19

Multiplicative inverse of  -2/3 is  3/-2 (also written as -3/2)

<h2>Step-by-step explanation:</h2>

(a) The additive inverse of a number is that number that when added to it gives 0.

For example, the additive inverse of x is -x.

This is because adding -x to x gives 0. i.e

x + (-x) = 0

In other words, the additive inverse of a number is the negative of that number.

Given:

(i) 19/-6

The additive inverse of 19/-6 is the <em>negative</em> of 19/-6 which is -(19/-6).

-(19/-6) then gives 19/6

Therefore, the additive inverse of 19/-6 is 19/6

(ii) -2/3

The additive inverse of -2/3 is the <em><u>negative</u></em> of -2/3 which is -(-2/3).

-(-2/3) then gives 2/3

Therefore, the additive inverse of -2/3 is 2/3

(b) The multiplicative inverse of a number is that number that when multiplied by it gives 1.

For example, the multiplicative inverse of y is 1/y.

This is because multiplying y by 1/y gives 1. i.e

y x (1/y) = 1

In other words, the multiplicative inverse of a number is the reciprocal of that number.

Given:

(i) 19/-6

The multiplicative inverse of 19/-6 is the <em>reciprocal</em> of 19/-6 which is 1/(19/-6).

1 / (19/-6) then gives -6/19

This is found by just swapping the numerator(19) and the denominator(-6)

Therefore, the multiplicative inverse of 19/-6 is -6/19

(ii) -2/3

The multiplicative inverse of -2/3 is the <em>reciprocal</em> of -2/3 which is 1/(-2/3).

1 / ( -2/3) then gives  3/-2

This is found by just swapping the numerator(-2) and the denominator(3)

Therefore, the multiplicative inverse of  -2/3 is  3/-2 (also written as -3/2).

4 0
3 years ago
Need help with this question!!
Ludmilka [50]

Hey!!

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

Now let's take two points on the graph

I will take the points ( -1 , 0 ) and ( 1 , 2 )

Now let's plug in these values :

y₂ = 2 , y₁ = 0 and x₂ = 1 and x₂ = -1

( 2 - 0 ) / ( 1 + 1 )

2 / 1

Hence, the slope is 2

Hope my answer helps!!

5 0
3 years ago
Coca-Cola comes in 2 low-calorie varieties: Diet Coke and Coke Zero. If a promoter has 10 cans of each how many ways can she sel
madam [21]

Answer:

There are 14,400 possible ways to do this

Step-by-step explanation:

Here, we have a selection problem. What to use is combination obviously.

For a combination problem, we would be selecting a specific number from a given total. For a case where we have n number of things and we are looking for how many ways to select r number of things, this can be done in nCr ways and this is mathematically equal to n!/(n-r)!r!

For the Diet coke, she has 10 bottles and want to select 3 for tasting, the number of ways she can do this is mathematically equal to 10C3. Computationally this is equal to ;

10!/(10-3)!3! = 10!/7!3! = 120 ways

For the coke zero, we have the same pattern, selecting a total number of 3 out of 10. This means the same 10C3 with the answer being 120 ways also.

Now, the number of ways of selecting from both would be a multiplication of both answers which is 120 ways * 120 ways = 14,400 ways

8 0
3 years ago
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