A rectangle measures 54 feet by 72 feet. What is the length, in feet, of

One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i

Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-3$ ------> $k=-3/-1=3$

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=3$ ------> $k=3/1=3$

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=4$ ------> $k=4/2=2$

This table has the same value of k

therefore

the table C represent a proportional relationship

Table D

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=6$ ------> $k=6/2=3$

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27

nadezda [96]

Answer:Which of the following is true about fiber in foods?

Group of answer choices

it is not digested

it helps one's muscles grow weaker

it is always thin and threadlike

it is bad for our bodies

Step-by-step explanation:

5 0

3 years ago

PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS

Oksi-84 [34.3K]

Answer:

A = 58.7 degrees

B = 66.9 degrees

C = 34.1 degrees

Step-by-step explanation:

For <A:

Tan A = $\frac{opposite}{adjacent}$

Tan A = $\frac{23}{14}$

Tan A = 1.6

A = $Tan^{-1} 1.6$

A = 58.7 degrees

For <B:

Sin B = $\frac{opposite}{hypotenuse}$

Sin B = $\frac{23}{25}$

Sin B = 0.92

B = $Sin^{-1} 0.92$

B = 66.9 degrees

For <C:

Sin C = $\frac{opposite}{hypotenuse}$

Sin C = $\frac{14}{25}$

Sin C = 0.56

C = $Sin^{-1}0.56$

C = 34.1 degrees

6 0

3 years ago

PetSmart.com sold the following varieties of dog food in June 2003.

aivan3 [116]

Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

$\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.$

From the first equation $z=10-\dfrac{2}{3}x-\dfrac{7}{12}y.$ Substitute it into the second equation:

$4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.$

Simplify it:

$-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.$

y must be divided by 20, then

y=0, x=9, z=10-6=4;
y=20, x=16, z is not a whole number;
y=40, x=23, z is not a whole number;
y=60, x=30, z=10-20-35<0;
thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0

3 years ago

Plz help me NOW I will mark you brainliest

puteri [66]

Let x be the percentage of p.
Therefore,
$m\% \: \: of \: \: n = x\% \: \: of \: \: p \\ = > \frac{mn}{100} = \frac{px}{100} \\ = > mn = \frac{px}{100} \times 100 \\ = > mn = px \\ = > \frac{mn}{p} = x$

Answer:

$\frac{mn}{p}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0

2 years ago