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Art [367]
2 years ago
6

Xavier can swim at a constant speed of 5/3 meters/second.

Mathematics
1 answer:
koban [17]2 years ago
7 0

Answer:

Step-by-step explanation:

Well we can find how far he travels in 55 seconds if he swims at constant speed of 5/3 meters.

5/3 times 55 = approx. 91.66 meters

Therefore Xavier will not quality for the national Swim Meet because he didn't swim 100 meters in 55 seconds

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes
skad [1K]
So this is how we are going to solve for the given problem above.
Given that x = number of large boxes
and 120-x = number of small boxes.
So here is the solution:
50x + (120-x)20 = 4050
50x + 2400 - 20x = 4050
30x + 2400 = 4050
30x = 4050 - 2400
30x = 1650 <<divide both sides by 30
x = 55.
Therefore, there are 55 large boxes
120 - x = small boxes
120 - 55 = 65 small boxes.
Hope this is the answer that you are looking for.
Let me know if you need more help next time!

6 0
3 years ago
Identify the slope and y-intercept of 3/5 - 1/3 x
Rudiy27
Your 3/5 - (1/3)x is an expression, not an equation.  You must write out the entire equation in question:

"Identify the slope and y-int. of y = 3/5 - (1/3)x."

The y-intercept is obvious:  It's 3/5.

The slope is (1/3).


5 0
3 years ago
PLZ HELP! Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Leviafan [203]

Answer:

About 555.43 feet

Step-by-step explanation:

The sine of an angle is equivalent to the length of the opposite side divided by the length of the hypotenuse. In this case:

\sin 80= \dfrac{x}{564} \\\\x=\sin 80 \cdot 564\approx 555.43

Hope this helps!

3 0
3 years ago
The vertices of a triangle are A(7,5) B(4,2) and C(9,2) what is mABC
shutvik [7]

Answer:

A(7,5)

Step-by-step explanation:

This is correct because the area of a triangle is b × h = a.

6 0
2 years ago
Read 2 more answers
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