3(3x+8)=4(2x+8)
9x+24=8x+32
x=8
2(8)=16
3(8)=24
that means that the younger brother is 16 years old
Answer:
associative prop
Step-by-step explanation:
Answer: The discounted price is $948. The value of the discount itself is $632.
Step-by-step explanation:
<h3>To calculate discounts, you multiply the percentage of the discount as a decimal with the price of the product.
In this particular case:
0.40 [percentage of discount] x $1580 [original cost] = $632 (the amount of the discount) </h3><h3>$1580 - $632 = $698 [new price after discount is applied]</h3>
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
