Xy - 11 = 5 show the direct variation expalin your reasoning

1 answer:

5 0

Hey there, Lets solve this one by one

Firstly, add 11 to both sides

 $xy=5+11$

Now, Simplify 5+11 to 16

 $xy=16$

Finally, divide both sides by variable y

 $x = 16 /y$

You might be interested in

Help me On this pleaseee

Evgen [1.6K]

2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi

1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi

Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²

Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = 63,800 mi²

4 0

3 years ago

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

$P(X=2) = \dfrac{3}{8}$

$P(\text{3 boys}) = \dfrac{1}{8}$

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Favorable outcome: {GGB, GBG, BGG}

$P(X=2) =\dfrac{3}{8}$

d) probability that the couple have three boys.

Favorable outcome: {BBB}

$P(BBB) = \dfrac{1}{8}$

8 0

3 years ago

Landen Company uses a single plantwide overhead rate of $100 per direct labor hour (DLH). Landen has two products as follows: ba

KATRIN_1 [288]

Answer:

$5,500

Step-by-step explanation:

Since Landen Company uses a single overhead rate of $100 per direct labor hour, the total amount allocated to the deluxe and basic chairs is given by the sum of the DLH used up for both products multiplied by the overhead rate:

$A =(20+35)*\$100\\A=\$5,500$