MATHEMATICS MIDDLE SCHOOL

y varies directly as x and inversely as the square of z. y=48when x=100 and z= 5. Find y when x=3 and z=12

Answers

Answer 1

Answer:

Answer:

y = 0.25

Step-by-step explanation:

Given y varies directly as x and inversely as the square of z then the equation relating them is

y = $(kx)/(z^2)$ ← k is the constant of variation

To find k use the condition y = 48 when x = 100 and z = 5

k = $(yz^2)/(x)$ = $(48(25))/(100)$ = 12

y = $(12x)/(z^2)$ ← equation of variation

When x = 3 and z = 12, then

y = $(12(3))/(144)$ = 0.25

Related Questions

Which equation represents this number sentence? Fourteen more than the quotient of a number and 5 is 23
What is the answer to 2x+4-3x=0
Plz tell me the answer quick!! (With steps)
STEP 1Choose at least 4 of the following constructions to use on your Wrapping Paper Design:• A bisected angle• A perpendicular line drawn from a point not on a line to a line• A perpendicular line drawn through a given point on a given line• A quadrilateral with at least one pair of parallel lines• A segment bisected by a perpendicular line, ray, or segment• An equilateral triangle• Two congruent triangles• Two congruent segments• Two parallel lines, one of which is drawn through a given pointPerform these constructions on a sheet of paper leaving all marks used in the construction. STEP 2Write down the instructions for the 4 chosen constructions, in your own words. Give these instructions to another person to recreate the constructions. Adjust your instructions as needed to make sure they are clear and precise. (Take notes, this will be included in your reflection summary).STEP 3Combine your constructions to make a pattern or design for your Wrapping Paper. You will do this on a standard sheet of paper. Be creative, but make sure to include all 4 of your constructions. Make sure to number your constructions and create a key describing each element. STEP 4Write a paragraph reflecting on any difficulties you encountered creating your design, the key, or writing your construction instructions.
Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet

Housing costs are what percentage of monthly net income? Use the budget sheet to calculate. Round your answer to the nearest whole percent.

Answers

The answer is 2 or 2.5.

There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700 and 799 pounds. How many of the 340,000 cattle placed on feed were between 700 and 799 pounds

Answers

We see this same problem pop up here on Brainly every
couple of months. Nobody yet has ever given us enough
information to answer it.

There's no information here that we can use to find out the
weight of any of the cattle placed on feed. There must be
some more information BEFORE this.

Maybe it's in the previous question in the book or on the
homework sheet, and nobody who posts this question ever
includes the information from the question before it.

On a coordinate grid, what is the distance from A (4,9) to B (4,3)?

Answers

$d=√((x_1-x_2)^2+(y_1-y_2)^2)\n\nd=√((4-4)^2+(9-3)^2)\nd=√(0^2+6^2)\nd=√(6^2)\nd=6$

just subtract them
4-4=0
9-3=6

the distance is 6 since the x part stayed on the sam line

What is the solution to the proportion? A. B. C. D. What is the solution to the proportion?

A. B. C. D. What is the solution to the proportion?

A. B. C. D. A cornbread recipe calls for 2 eggs to make 15 servings. How many eggs are needed to make 45 servings? A. 30 eggs B. 15 eggs C. 8 eggs D. 6 eggs . I don't understand these question can someone help me? plz and thank you

Answers

6 eggs because 2 x3 is 6 cause 15x3 is 45.
Hope it helps

Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?In school A, the ratio of male students to female students is 4:1.
In school B, the relationship between the number of male students, y, and the number of female students, x, is given by the equation y=4/3x.
In school C, the number of male and female students are as shown in the table.

Female students Male students
280 1260