Hey there!
To start, first let the variable, x, represent your first unknown number. Now, because the second number is 5 times the first, this will be represented as 5x (you simply multiply 5 to your variable of the first number, x).
Now, since the sum of the two numbers are 42, you can represent this by setting up this equation:
5x+x=42
Combine your like terms (terms of the same variable and are raised to the same power):
5x+x=42
6x=42
Divide both sides by 6 to solve for x:
6x/6=42/6
x=7
Because x represents the first number, your first number would be 7.
Now, since the second number is 5 times the first, you can find the second number by multiplying x by 5:
x=7
7*5=35
Your second number is 35.
To check if both numbers are correct, you can add your first number, 7 to your second number, 35, to see if you get 42 since you know their sum must be 42:
7+35=42
Therefore, your final answer would be that the first number is 7, and the second number is 35.
Hope this helps, and have a marvelous day! :)
Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
Answer:
Step-by-step explanation:
Mathematicians stand on each other's shoulders. — Carl Friedrich Gauss We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
Answer:
5(5x+3)
Step-by-step explanation:
25x=5*5x
15=5*3
5*5x+5*3
Factor out the Common 5
5(5x+3)
Answer:
Step-by-step explanation:
#4 part A= D
#4 part B = 76
Your question only states parrallelogram ABCD is shown, so I assume you only wanted those answers, GL
