David rode his bicycle for 6 hours and he jogged for 8 hours during the past 2 weeks. We can say that per week, he rode his bicycle for 3hours and jogged for 4 hours. And he will jog for: 24 * 4 = 96 hours. Your welcome good luck

8 0

3 years ago

The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the

blsea [12.9K]

Answer:

14.66 inches

Step-by-step explanation:

Calculation for How far does the tip of the minute hand move in 35 minutes

The tip of a minute hand will always travels at 360 degrees in an hour ( 60 minutes)

Hence, the tip of the minute hand

distance will be calculated using this formula

Circumference of a circle=2*π*Radius* Clock Tip hand movement/Number of minutes per hour

Let plug in the formula

Circumference of a circle==2*π*4 inches*35 minutes/60 minutes

Circumference of a circle= =2*π*4 inches*0.58333

Circumference of a circle==14.659 inches

Circumference of a circle==14.66 inches (Approximately)

Therefore How far does the tip of the minute hand move in 35 minutes will be 14.58 inches

8 0

3 years ago

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

<u>For 20 people</u>

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

<u>For 30 people</u>

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

<u>For 40 people</u>

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

<u>For 50 people</u>

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

6 0

3 years ago