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2 years ago

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

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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:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

3x + y = 10

y = x - 2

Step 2: Solve for x

Substitute: 3x + (x - 2) = 10
Combine like terms: 4x - 2 = 10
Isolate x term: 4x = 12
Isolate x: x = 3

Step 3: Solve for y

Define original equation: y = x - 2
Substitute in x: y = 3 - 2
Subtract: y = 1

And we have our answer!

3 0

3 years ago

Estimate the difference 7 3/4 subtracted by 2 2/5 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. -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:

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