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2 years ago

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

Mathematics

2 answers:

natali 33 [55]2 years ago

8 0

Answer:

Step-by-step explanation:

zvonat [6]2 years ago

5 0

Answer: y= 48/6 (2)

Step-by-step explanation: A

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a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra

Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

$x \leq 200$ -----> inequality A

$y \leq 300$ -----> inequality B

$x+y \leq 435$ -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

$P=50x+35y$

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- $P=50(0)+35(300)=\$10,500$

For (135,300) ----- $P=50(135)+35(300)=\$17,250$

For (200,235) ----- $P=50(200)+35(235)=\$18,225$

For (200,0) ----- $P=50(200)+35(0)=\$10,000$

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

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2 years ago

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Q. If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what

zaharov [31]

Answer:

-2

Step-by-step explanation:

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2 years ago

For the following pair of lines, identify the system by type.

shtirl [24]

Inconsistent, they're parallel lines

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Isa and Jack have part-time jobs.

enot [183]

By process of elimination and plugging in the math we can say that Jack earns 8.25 an hour by multiplying 2*8.25=16.50. Isa must then earn 9.50, therefore she earns a greater hourly pay then Jack as a result

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2 years ago

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is

NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

$Z=\frac{x-\bar {X}}{\sigma }$

where

$\bar{x}$ is mean of the data

$\sigma$ is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

$Z=\frac{74-70}{4}=1$

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

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2 years ago