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docker41 [41]
3 years ago
6

A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra

m. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day? 8.8 pounds 12.7 pounds 61.6 pounds 89.1 pounds
Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

8.8

Step-by-step explanation:

first you divide 28/7 (because there are 7 days in the week) you take that number, which is 4 and multiply it was 2.2 to convert the 4 kilograms into pounds.

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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
Mamont248 [21]

Answer:

14 miles.

Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

Speed while going to friend's house = 35 miles per hour.

Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

Speed while coming back = Distance/Time.

40 = x/(0.75 - y).

x = 40(0.75 - y) (Equation 2).

Since x = x, therefore:

35y = 30 - 40y.

75y = 30.

y = 30/75.

y = 0.4 hours.

Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

Therefore, the distance between my friend's house and my house is 14 miles!!!

4 0
4 years ago
Read 2 more answers
Which value below is included in the solution set for the inequality statement?
4vir4ik [10]
X<2 I hope this you out

4 0
3 years ago
Read 2 more answers
Is their a certain formula to use on finding a perimeter?
Taya2010 [7]

firstly, I'd like to point out the graph is misleading, if AC is 10 it should be the shorter sides, but it shows as the longer side there.

let's bear in mind that in a rhombus, all sides are equal, even though they may be slanted, the diagonals meet at right-angles always, so the center is simply four 90° angles, and the diagonals bisect each other, namely they cut each other in equal halves.

check the picture below.

8 0
3 years ago
in a survey 9 out of 10 doctors recommended a certain medicine if 80 doctors were surveyed how many doctors recommended the medi
ale4655 [162]

Answer:

72 doctors recommended the medicine

Step-by-step explanation:

The question above is interpreted thus.

9 out of 10 implies 9/10. If 80 doctors were surveyed, the number of doctors that recommended the medicine is 9/10 of 80 doctors. Therefore,

\frac{9}{10}  \: of \: 80

=  \frac{9}{10}  \times 80

=  \frac{9 \times 80}{10}

=  \frac{720}{10}

=  72

Therefore, in a survey where 9 out of 10 doctors recommended a certain medicine; and 80 doctors were surveyed, 72 doctors recommended the medicine.

6 0
4 years ago
A state vector X X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is no
Vesna [10]
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If x_i is the component for state i, then you have

x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16

which means x_2=4x_4=0.64. So the state vector is \mathbf x=(0.2,0.64,0,0.16).
3 0
4 years ago
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