All categories

3 years ago

Which of the following functions is a direct variation?

1 answer:

5 0

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

You might be interested in

Is 1+4(3x-10)-12x equivalent to-9

Ymorist [56]

Answer:

Step-by-step explanation:

Given

1 + 4(3x - 10) - 12x ← distribute the parenthesis

= 1 + 12x - 40 - 12x ← collect like terms

= 1 - 40

= - 39 ≠ - 9

5 0

3 years ago

There are 870 boys and 800 girls in a school

alina1380 [7]

Answer:

1060

Step-by-step explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish = $\dfrac{2}{3}$

Probability that a girl chosen studies Spanish = $\dfrac{3}{5}$

the number of boys in the school who study Spanish :

$\dfrac{2}{3}\times 870=290\times 2=580$

the number of girls in the school who study Spanish :

$\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480$

Therefore, total number of students who study Spanish would be :

480+580=1060

8 0

3 years ago

The price of chicken pieces at supermarket is shown as R36.40/kg mandy goes to the supermarket to buy the chicken is sold in 1 k

Degger [83]

Answer:

R72. 80

Step-by-step explanation:

1KG = R36, 40

2KG = R36.40 X 2

= R72. 80

8 0

2 years ago

The economics department has 40 applicants for their phd program and only 10 openings. how many different combinations of applic

lana66690 [7]

In a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed. Since there are 10 openings

<span>P = 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>

5 0

3 years ago

Use the number set to answer the question.

Fantom [35]

Answer:

Step-by-step explanation:

The median is the middle value of the data set arranged in ascending order.

If there is no exact value then it is the average of the values either side of the middle.

Arrange the data in ascending order

1, 4, 6, 8, 8, 9

The middle is between 6 and 8, thus

median = $\frac{6+8}{2}$ = $\frac{14}{2}$ = 7

8 0

3 years ago