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Karolina [17]
3 years ago
15

The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

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A model ship is built to a scale of 1 centimeter = 5 meters. The length of the
vovangra [49]

Answer:

150 meters

Step-by-step explanation:

Since 1 x 30 gives the 30

5 x 30= 150

4 0
3 years ago
Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
zlopas [31]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

8 0
3 years ago
Find the square of <br> -1/7
Anastasy [175]

Answer:

1/49

Step-by-step explanation:

To square a number, you multiply it by itself so:

-1/7(-1/7)

negative X negative= postitive

so: -1 x -1 = 1

     -7 x -7 = 49

Ans: 1/49

Hope this helps :)

7 0
3 years ago
What is 10,000,000,000 in standard form?
Flauer [41]

Answer:

10 billion

Step-by-step explanation:

4 0
3 years ago
The ratio of two supplementary angles is 4:5. What are the measures of each angle?
mihalych1998 [28]

Answer:

Step-by-step explanation:

12:15

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3 years ago
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