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MAXImum [283]
3 years ago
8

Vishal wants to burn at least 2,400 calories during his weekly workouts. He burns 400 calories per hour swimming and 600 calorie

s per hour rollerblading. He decides to swim for 3 hours this week. How many hours must he rollerblade to reach his goal?
Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

2 hours

Step-by-step explanation:

given that the calorie burn rates are:

swimming: 400 cal / hour

rollerblading: 600 cal / hour

If he swims for 3 hours, he will burn:

400 cal / hour x 3 hours

= 1200 cal

Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:

2400 - 1200

= 1200 calories.

Number of hours of rollerblading to burn 1200 calories

= 1200 calories ÷ 600 calories per hour

= 2 hours

masya89 [10]3 years ago
7 0

Answer:

B. y > = 2

The second part is

A. At least 2

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

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Find the measure in degrees and radians of the angle representing 7/12 of a circle
Shtirlitz [24]
\bf \textit{a full circle has }360^o\textit{ and }2\pi \textit{ radians, thus }
\\\\\\
360\cdot \cfrac{7}{12}\implies \stackrel{degrees}{210^o}\qquad \qquad 2\pi \cdot \cfrac{7}{12}\implies \stackrel{radians}{\cfrac{7\pi }{6}}
6 0
3 years ago
The data represent the age of world leaders on their day of inauguration. Find the​ five-number summary, and construct a boxplot
Mumz [18]

Answer:

Minimum value = 43, Q_1=52, Q_2=Median=61, Q_3=67, Maximum value = 69.

Distribution is negative skewed.

Step-by-step explanation:

The given data set is

44, 43, 67, 68, 57, 65, 52, 62, 69, 54, 53, 61, 67, 48, 65​

Arrange the data in ascending order

43, 44, 48, 52, 53, 54, 57, 61, 62, 65, 65, 67, 67, 68, 69

Divide the data in 4 equal parts.

(43, 44, 48), 52, (53, 54, 57), 61, (62, 65, 65), 67, (67, 68, 69)

Minimum value = 43

Q_1=52

Q_2=Median=61

Q_3=67

Maximum value = 69

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

The shape of the distribution.

Normally distributed: If Q_3-Q_2=Q_2-Q_1

Positive skew: If Q_3-Q_2>Q_2-Q_1

Negative skew: If Q_3-Q_2

For the given data set

Q_3-Q_2=67-61=6

Q_2-Q_1=61-52=9

Since Q_3-Q_2, therefore the given distribution is negative skewed.

5 0
4 years ago
The hypotenuse of the right triangle is 5 meter long. the shorter leg is 1 Meter shorter than the longer leg. find the side leng
Firlakuza [10]

Shorter leg = x

Longer leg = x +1

Length of the hypotenuse: 5 m ​

We can use the pythagorean theorem with the information given. Doing so, we have:

\begin{gathered} a^2+b^2=c^2 \\ (x)^2+(x+1)^2=5^2\text{ (Replacing the values)} \\ x^2+x^2+2x+1=25\text{ (Raising both terms to the power of 2)} \\ x^2+x^2+2x=25-1\text{ (Subtracting 1 from both sides of the equation)} \\ 2x^2+2x=24\text{ (Adding like terms)} \\ 2x^2+2x\text{ }-24=0\text{ (Subtracting 24 from both sides of the equation)} \\ 2(x+4)(x-3)=0\text{ (Factoring)} \\ x1=-4\text{ (Since x=-4 makes the factor (x+4) equal to 0)} \\ x2=3\text{ (Since x=3 makes the factor (x}-3\text{) equal to 0)} \\ \text{ Since we need a positive solution x would be equal to 3} \end{gathered}

So, the answers would be:

Shorter leg = 3 m

Longer leg = 4 m

Length of the hypotenuse: 5 m

6 0
1 year ago
Convert the angle 0= 100° to radians.<br> Express your answer exactly.<br> radians
Rashid [163]

Answer:

the answer is the 0.56 say

8 0
3 years ago
1 point
lana [24]

Answer:

sksdkk

Step-by-step explanation:

ksnsksksnkdndmdkkdkdkd

7 0
3 years ago
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