All categories

3 years ago

A triathlete swims 3 km in 1 hr. Then bikes 50 km in 3 hrs. Finally, the triathlete runs

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

Answer:Let $d$ be the length of one segment of the race.

Average speed is total distance divided by total time. The total distance is $3d$, and the total time is $\frac{d}{3}+\frac{d}{20}+\frac{d}{10}=\frac{29d}{60}$.

Thus, the average speed is $3d\div\left(\frac{29d}{60}\right)=\frac{180}{29}$. This is closest to $6$, so the answer is $\mathrm{(D)}$

You might be interested in

There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey 4⁄8. Who ate the most of the two pizzas?

Semenov [28]

Not exactly sure, but just by my knowledge and common sense I'd say Tyler. He ate 3/4 so he ate most out of what was given to him.

8 0

3 years ago

NEED ANSWER ASAP<br>Which graph best represents the equation 3x + y = -5? A. B. C. D.

Nonamiya [84]

Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

<h3>How to Identify the Graph of the Equation of a Line?</h3>

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

Learn more about graph of a line on:

brainly.com/question/10790818

6 0

2 years ago

I’ll make you brainlist thankss

dusya [7]

Answer:

The equation of the line will be:

y = 0

Step-by-step explanation:

Given the points

(0, 0)

(3, 0)

Finding the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)$

$m=\frac{0-0}{3-0}$

$m=0$

We know that the value of y-intercept can be obtained by setting x=0, and solving for y

Here,

at x = 0, the value of y = 0

Thus,

y-intercept = b = 0

We know the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

now substituting m = 0 and b = 0 in the slope-intercept form

y = mx+b

y = 0(x) + (0)

y = 0+0

y = 0

Therefore, the equation of line will be:

y = 0

8 0

3 years ago

A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answe

Aloiza [94]

He answered 41 questions right.

41:50

7 0

4 years ago

Which ofnthe following shows the correct use of distributive property when solving 1/3(33-x)=135,2

madam [21]

Answer: OPTION C.

Step-by-step explanation:

The missing options are:

$A. (33 - x) = \frac{1}{3} * 135.2\\\\B. (\frac{1}{3} *33) - \frac{1}{3} x = \frac{1}{3} * 135.2\\\\C.(\frac{1}{3} * 33) - \frac{1}{3} x = 135.2\\\\D. (\frac{1}{3} * 33) + \frac{1}{3} x = 135.2$

In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

2. The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case the exercise gives you the following equation:

$\frac{1}{3}(33-x)=135.2$

Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by $\frac{1}{3}$ .

Therefore,based on the explanation, you know that the correct use of the Distributive property is:

$\frac{1}{3}*33-\frac{1}{3}x=135.2$

8 0

3 years ago