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2 years ago

The difference of two numbers is 3 the sum is 13 find the numbers

2 answers:

5 0

X-y=3
x+y=13

Add the two equations to get the following in order to solve for x:
2x=16
x=8

Next you substitute into x+y=13 to solve for y

8+y=13
y=5

Therefore, x=8 and y=5

Serga [27]2 years ago

3 0

X - y = 3
x + y = 13
Adding both equations
2x = 16
x = 8
y = 5

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1 year ago

Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

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$7 = \frac{k}{9}$

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Multiply both sides by x

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Solving for when x = 21

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4 0

2 years ago

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?

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The answer is

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2 years ago

Read 2 more answers

Ralph sold brownies for $0.66 a piece in order to earn money to buy baseball cards. If the cards cost $0.90 per pack, and if Ral

denpristay [2]

What is the rest of the question

5 0

2 years ago

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

3 0

2 years ago