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lutik1710 [3]
3 years ago
13

Evaluate 5x-2w+t Help needed!!

Mathematics
1 answer:
likoan [24]3 years ago
5 0

the answer is the same

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Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0
2 years ago
Read 2 more answers
A fruit seller packed some apples into 15 small cartons and 20 big cartons. Each big carton contained 15 more apples than each s
ehidna [41]

Answer:

720 apples

Step-by-step explanation:

Let A be the number of apples in the small pack.

QTY for Small Cartons is 15A,

QTY for Big Cartons is 20(A+15) = 20A+300

From small cartons makes 25% or 1/4 of total, means the big carton makes 75% of total, or 3/4 of total. This also means the qty in big carton is 3 times of small carton

20A+300 = 3X (15A)= 45A

300 = 25A

A=12

Altogether = 15A+(20A+300) = 720 Apples

7 0
1 year ago
NEED HELP MY GRADE DEPENDS ON ITT!!!!!!!! I will mark brainliest answer.
qwelly [4]

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

7 0
2 years ago
There are 45 students in a class. The ratio of boys to girls is 2:3. How many boys are there in the class?
Lena [83]

Answer:

18 boys

Step-by-step explanation:

we add 2 and 3 because they are equal parts:

2+3=5

Then we divide 45 by 5 because we want to find what 1 part equals"

45/5=9

We now do 9*2 to get an answer of:

9*2=18

hope this makes sense!

7 0
2 years ago
The following graph shows a bus’s record of the number of passengers it picked up over the course of a day. A bar graph titled B
Setler [38]

Answer:

(A)55

Step-by-step explanation:

\left|\begin{array}{c|ccccccccccccccc}x(Time)&7&8&9&10&11&12&1&2&3&4&5&6\\y(Passsengers)&40&62&58&43&36&55&41&28&31&37&75&64\end{array}\right|

From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.

<u>The correct option is A.</u>

7 0
3 years ago
Read 2 more answers
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