Answer:
Step-by-step explanation:
32÷4=8
The value of x in the expression is 3.
The distance between Madison's house and Jamie's house is 13 units
<h3>How to find the distance between Madison house and Jamie's house?</h3>
Madison lives between Ana and Jamie as depicted on the line segment.
The distance between Ana's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Ana's house and Jamie's house is represented by 9x-3 miles.
Therefore,
(3x + 2) + (3x + 4) = 9x - 3
open the brackets
3x + 2 + 3x + 4 = 9x - 3
combine like terms
3x + 3x + 2 + 4 = 9x - 3
6x + 6 = 9x - 3
6x - 9x = -3 - 6
-3x = - 9
divide both sides by -3
x = -9 / -3
x = 3
Therefore, the value of x in the expression is 3
distance between Madison's house and Jamie's house = 3(3) + 4 = 9 + 4 = 13
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Answer:$249895.46
Step-by-step explanation:
Well, if 2250 dollars increase by 17% every year for 30 years, then it will be 2250*(1.17)^30
which would be $249895.46
so if you could increase money by 17% every year, 2250 dollars now will be worth a lot in 30 years!
Answer:
Matt was paid an average of $10 per hour of babysitting for the day.
Step-by-step explanation:
He babysat in the morning for 3 hours being paid $10 per hour. He later babysat in the evening for 5 hours being paid $20 per hour. Since he was being paid two different amounts throughout the day, the average would be $10. He was being paid atleast $10 per hour for babysitting because even though he was being paid $20 in the evening, the lowest amount of money that he was paid, was $10 making that the average.
7 mm wide
To solve this, you can use the Pythagorean theorem.
A triangle's sides is length squared + length squared = hypotenuse squared. We know the hypotenuse and one side of the triangle. So, we can follow the equation 24 squared + x squared = 25 squared
To solve this, find the value of 24 squared and 25 squared. 24 squared = 576, and 25 squared = 625, so your equation becomes 576 + x squared = 625
Next, you subtract your known values. 576 + x squared – 576 = 625 – 576 = 49, so x squared = 49
For the last step, find the square root (√) of 49, which is 7. So x = 7 mm
And you can check: 24 squared + 7 squared = 25 squared