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Snezhnost [94]
2 years ago
13

When x is 2, y is 4, p is 0.5, and m is 2. If x varies directly with the product of p and m and inversely with y, which equation

models the situation?
Mathematics
2 answers:
Nesterboy [21]2 years ago
8 0

Answer:

x=8((m*p)/y)

Step-by-step explanation:

You have that x varies directly with p*m (which means that if the result of m*p increase, x increase)

And you have too that x is inversely with y (which means that if y increase, x decrease).

Then you must get:

x=constant value((m*p)/y)

If the problem says that x is 2, y is 4, p is 0.5, and m is 2

the constant value should be 8, in this way:

x=8((m*p)/y)

If you replace:

x=8((2*0,5)/4)

The result is x=2

galben [10]2 years ago
3 0
Can you elaborate please? What does p and m mean?
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State the complement of each of the following sets: (a) Engineers with less than 36 months of full-time employment. (b) Samples
iren2701 [21]

Answer:

(a) Engineers with greater than 36 months of full-time employment.

(b) Samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter

(c) Measurements of the diameter of forged pistons that conform to engineering specifications.

(d) Cholesterol levels that measure less than 180 and greater than 220.

Step-by-step explanation:

The complement of a set refers to elements that does not exist in that set. It means what does not exist in the set but exist in the universal set.

(a) Engineers with greater than 36 months of full-time employment.

In this case, the Universal set is a set of engineers in full-time employment. The given set is for engineers with less than 36 months of full-time employment. The complement is engineers with greater than 36 months of full-time employment.

(b) Samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter

In this case, the universal set is a set of samples of cement block having compressive strength. The given set is a set of cement block having compressive strength less than 6000 kilograms per square centimeter. The complement is samples of cement blocks with compressive strength greater than 6000 kilograms per square centimeter.

(c) Measurements of the diameter of forged pistons that conform to engineering specifications.

In this case, the universal set is a set of measurements of the diameter of forged pistons. The given set is a set of measurements of the diameter of forged pistons that do not conform to engineering specifications. The complement is a set of measurements of the diameter of forged pistons that conforms to engineering specification.

(d) Cholesterol levels that measure less than 180 and greater than 220.

In this case, the universal set is a set of Cholesterol levels. The given set is Cholesterol levels that measure greater than 180 and less than 220. The complement is Cholesterol levels that measure less than 180 and greater than 220.

5 0
1 year ago
Which of the following best describes the graph below?
Sonja [21]

Answer: Option A

Step-by-step explanation:

A function is one to one if every element in the range (y) has only one value in the domain (x) associated to it, while a function is many to one if some values in the range (y) have more than one element in the domain (x) associated.

In this function, we can see that the function is almost linear and always increases and it is easy to see that each value of y has only one value of x associated (because the line will always increase) the correct option is A.

8 0
2 years ago
olivia has a shoebox shaped like a rectangular prism. She decorates 4 faces of the box, leaving the top and bottom without decor
Art [367]

Answer:

440 inches

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
What proportion results in the equation 9m=10n
Serhud [2]
Give the equation 9m = 10n

Dividing both sides by 9n, we have
\frac{9m}{9n} = \frac{10n}{9n}  \\  \\  \frac{m}{n} = \frac{10}{9}

Therefore, the <span>proportion that results in the equation 9m = 10n is
\frac{m}{n}=\frac{10}{9}
</span>
4 0
2 years ago
Read 2 more answers
Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is
MakcuM [25]

<em><u>Answer:</u></em>

1/2

1/3

6

1/6

<em><u>Step-by-step explanation:</u></em>

When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:

1. From T to S, it's the reciprocal of the scale factor (2) so 1/2

2. From S to R, it's the reciprocal of the scale factor (3) so 1/3

3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6

4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6

4 0
2 years ago
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