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Mnenie [13.5K]
2 years ago
15

Suppose y varies inversely with x, and y = 36 when x=112

Mathematics
1 answer:
Artemon [7]2 years ago
6 0

The inverse variation equation that relates x and y is x = 4032 / y.

<h3>What is the equation that relates x and y?</h3>

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

The equation that represents inverse proportion : x = b/y

where b = constant of proportionality

112 = b /36

b = 36 x 112 = 4032

The equation : x = 4032 / y

To learn more about inverse proportion, please check: brainly.com/question/27233899

#SPJ1

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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Vilka [71]

Answer:

(3, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

3x + y = 10

y = x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    3x + (x - 2) = 10
  2. Combine like terms:     4x - 2 = 10
  3. Isolate <em>x </em>term:               4x = 12
  4. Isolate <em>x</em>:                        x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:          y = x - 2
  2. Substitute in <em>x</em>:                           y = 3 - 2
  3. Subtract:                                     y = 1

And we have our answer!

3 0
3 years ago
Estimate the difference <br> 7 3/4 subtracted by 2 2/5 <br> show your work
skad [1K]
7 3/4 - 2 2/5
(7-2)+(3/4-2/5)
5+7/20

5 and 7/20 or 5.35
7 0
3 years ago
Read 2 more answers
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error:
lisabon 2012 [21]

Answer: 191

Step-by-step explanation:

Formula to find the minimum sample size required to estimate a population proportion or percentage:

n= \hat{p}(1-\hat{p})(\dfrac{z^*}{E})^2

, where \hat{p} = proportion estimated by prior study.

E= Margin of error.

z* = Critical z-value.

Given : Confidence level = 95%

Critical value for 95% confidence = z*=1.96

\hat{p}=\ 42\%=0.42

E= 7%= 0.07

Then, n= 0.42(1-0.42)(\dfrac{1.96}{0.07})^2

n= 0.42(0.58)(28)^2

n= 0.2436(784)=190.9824approx191

Hence, the minimum sample size required=191

6 0
3 years ago
Use properties of rational numbers to multiply the following.<br><br> -26 x (-54/221)
cluponka [151]
-26 \cdot (-\frac{54}{221}) = 2 \cdot \frac{54}{17} = \frac{108}{17} \approx 6.35294.
3 0
3 years ago
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can che
vekshin1

Answer:

The expression has a variable with a coefficient (constant) and a constant. Therefore, to create a new expression with 2 terms, take out a constant and use parentheses:

The most obvious number to take out is either 2 or 3 since those are the constants in the expression:

Taking out the constant 3:

2x-3= 3\left(\dfrac23x-1\right)

or taking out the constant 2:

2x-3= 2\left(x-\dfrac32\right)

However, you can choose to take out any value, as long as it's a number and not a variable:

2x-3= \dfrac12\left(4x-6\right)

2x-3= \dfrac14\left(8x-12\right)

To check that it is equivalent, expand the brackets.

8 0
2 years ago
Read 2 more answers
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