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3 years ago

Difference of two numbers is 166. The sum of the same two numbers is 234. What are the two numbers?

Mathematics

2 answers:

Sophie [7]3 years ago

6 0

Answer:

<h2>The numbers are 100 and 234 </h2>

Step-by-step explanation:

Let the numbers be x and y

The statement

difference of two numbers is 166 is written as

x - y = 166.......... Equation 1

The sum of the same two numbers is 234 is written as

x + y = 234 ............. Equation 2

Solve the equations simultaneously

Add both equations 1 and 2

That's

x + x + y - y = 166 + 234

2x = 400

Divide both sides by 2

Substitute the value into the first equation

That's

100 + y = 234

y = 100 - 234

<h3>The numbers are 100 and 234 </h3>

Hope this helps you

algol [13]3 years ago

3 0

The answers are X= 100 and Y= 134

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3 years ago

PLEASE HELP QUICK 100 POINTS

MrRissso [65]

Answer:

Change per week: $20

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Step-by-step explanation:

Given equation:

$y=550+20x$

where:

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y = total account balance

Change per week

As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.

Therefore, the change per week in the amount of money in the account is $20.

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2 years ago

Y is inversely proportional to x. When y=50, x=4 Work out y when x=8

notka56 [123]

Answer:

100

Step-by-step explanation:

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3 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago