Answer:
7 + 3x ≥ 13
Step-by-step explanation:
The best way to write this is to truly understand what each of the terms mean. The sum means that multiple terms are added together, which means that 7 and 3 times a number will be added together.
Next, the term three times a number just means 3x. So as of now, we have 7 and 3x being added together.
Finally, the term at least 13 means that the 7 + 3x is greater than or equal to 13. Once everything is put together, you get a final inequality of 7 + 3x ≥ 13.
In mathematics, 'is' would be the equal sign. And 'of' would be the multiplcation sign. The missing number would be any variable.
56 is 28% of a number would be translated algebraically to:

Solving for x, we get:

Divide 28 on both sides

Multiply 100 on both sides
56 is 28% of 200
Answer:
y = 2x - 4; Alex is 18.
Step-by-step explanation:
Since Alex is 4 years younger than 2 times his sister's age, and his sister is y and Alex is x, the function of y to x must be y = 2x - 4.
According to the rule, if Alex's sister is 11, Alex is 2 times that minus four. If you calculate that, you get
11 * 2 = 22
22 - 4 = 18
So Alex is 18 if his sister is 11.
Answer:
(x +1)^2 +(y +0.5)^2 = 22.25
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so is ...
(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)
The circle formula is then ...
(x -h)^2 +(y -k)^2 = r^2
(x -(-1))^2 +(y -(-1/2))^2 = r^2
We can find r^2 by substituting one of the points for (x, y).
(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25
Then the circle equation is ...
(x +1)^2 +(y +0.5)^2 = 22.25
Answer:
1/6
Step-by-step explanation:
1/2/3 is a sixth of an apple that all 3 people equally shared.