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laila [671]
3 years ago
13

The sum of two numbers is 67 . the larger number is 5 more than the smaller number. what are the numbers?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0
Call the numbers x and y. According to the first sentence, x + y = 67. According to the second sentence, x = y + 5. You can combine these two equations to find the values of these variables:

x + y = 67
(y + 5) + y= 67
2y = 62
y = 31

You can use this to find x by plugging in y to either original equation:

x = y + 5
x = 31 + 5
x = 36
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Answer:

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b: It will be enough for her trip

Step-by-step explanation:

In this question, we are tasked with calculating how much a certain value in a savings account that is earning an interest that is compounded annually will be worth.

To calculate this, we use the compound interest formula;

A = P((1+r/n)^{nt}

Where A is the amount after that number of years which of course we want to calculate

P is the principal amount which is the amount we are investing which is $6439 according to the question

r is the interest rate which is 4% = 4/100 = 0.04

t is the time which is 8 years

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We plug these values as follows;

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Write the equation in slope-intercept form.<br> 5x +<br> 5y = 35
vekshin1

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   5x + 5y = 35

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form.</em>

  1. Subtract 5x on both sides:                    5y = -5x + 35
  2. Divide 5 on both sides:                         y = -x + 7
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