Select the correct symbol to compare the expressions below.

The number of kilograms of water in a human body varies directly as the mass of the body. An 87-kg person contains 58 kg of wat

katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form $y=kx$ , where y varies directly with x and k is constant of variation.

We are told that an 87-kg person contains 58 kg of water. We can represent this information in an equation as:

$58=k\cdot 87$

Let us find the constant of variation as:

$\frac{58}{87}=\frac{k\cdot 87}{87}$

$\frac{29*2}{29*3}=k$

$\frac{2}{3}=k$

The equation $y=\frac{2}{3}x$ represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute $x=75$ in our given equation and solve for y.

$y=\frac{2}{3}(75)$

$y=2(25)$

$y=50$

Therefore, there are 50 kg of water in a 75-kg person.

3 0

2 years ago

Can somebody tell me the answer to these question please

strojnjashka [21]

Answer:

Step-by-step explanation:

2) Take the number you see (7). How many 7s are there? There are three.

7 x 3

3) What number do you see? 3. How many 3s? Five 3s.

3 x 5

Now you try

4 0

1 year ago

Read 2 more answers

The variable overhead rate variance can be defined as which of the following? A. Standard rate x (Actual hours - Standard hou

Katena32 [7]

Answer:

Step-by-step explanation:

In costing analysis, direct materials, labour and direct expenses aggregate to prime cost. Alternately, the aggregate of indirect materials, labour and expenses is termed as overhead. Overheads are classified into fixed and variable.

Variable overhead is one which varies directly as per number of units produced

Variable overhead rate variance = actual costs -(AHxSR)

= Actual costs - (Actual hours x std rate)

= Actual hours x actual rate - actual hours x std rate

Hence option D is right.

5 0

2 years ago

The sum of two numbers is 167. The second number is 29 less than three times the first number. Fine the numbers. The two require

Anettt [7]

Answer:

49 and 118

Step-by-step explanation:

Let the two numbers be x and y

x+y = 167

y = 3x-29

Substitute into the first equation

x+ 3x-29 = 167

Combine like terms

4x - 29 = 167

add 29 to each side

4x = 167+29

4x = 196

Divide by 4

4x/4 = 196/4

x = 49

x+y = 167

49+y = 167

y = 167-49

y =118

4 0

2 years ago

Read 2 more answers

A band expects to put 16 songs on their next CD. The band writes and records 50% more songs than they expect to put on the CD.

Daniel [21]

Since they expect to put 16 songs, but actually end up putting 50% more, we can do 16 * 150 % which would equal 24 songs that they actually put on their CD.

During the editing process, they removed 75 % of the songs they put on their CD. Since they put 24 songs on their CD, we can do:

24 * 25 % (because this would equal the songs left after the editing process, and not the actual number of songs removed, which is 75 %) which would equal 6 songs.

There would be 6 songs left on their Final CD.

5 0

2 years ago