Answer:
Smaller number: 12
Larger number: 34
Step-by-step explanation:
Let x represent the smaller number.
Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)
x + 3x -2 = 46
Add 3x + x:
4x - 2 = 46
Add 2 to both sides:
4x = 46 + 2
Add 46 + 2:
4x = 48
Divide both sides by 4:
4x/4 = 48/4
x = 12 is the smaller number
Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.
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There are 4 cups in a quart.
So if Hudson has only a 1/4 measuring cup, this can be represented by the equation:
4/1/4, solving it we get: 4* 4 (dividing turns a fraction into its reciprocal)
So, 4*4=16
Hudson will have to fill the 1/4 measuring cup 16 times to get a quart.
I hope this helps!
Answer:
To do this, subtract 6 from both sides. − 3_x_ + 6 − 6 > 12 − 6. −3_x_ > 6. Now divide both sides of the inequality by −3. Since you're dividing by a negative number, you need to flip the inequality sign.
Step-by-step explanation:
A 24 -gon has 24 exterior angles. Each exterior angle measures 36024=15 . The interior angle measures 180−15=165 . The sum of the 24 interior angles is then 24⋅165=3960
