The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 5

Putting x=15 in Eqn 2

The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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Answer:
The answer is: The sum of x and y is a rational number.
Step-by-step explanation:
x is a rational number (any).
is a rational number too.
So, the sum of x and y will also be a rational number.
Answer:
100 customers or more a day .
The bowling ally needs one hundred or more customers a day .
Step-by-step explanation:
$2.00 a game plus $1.00 per pair of shoes .
$2.00 plus $1.00 equals $3.00 how many times does $3.00 go into $300.00 ? $3 goes into $300 100 times .
$300 ÷ $3 = 100 .
First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.
a^2 + b^2 = c^2
Substitute
a^2 + (5)^2 = (20)^2
Solve for a^2
a^2 = (20)^2 - (5)^2
Solve for a
a = 5 √15
The slope will be rise over run
5/5 √15 = √15/15 or 0.258…