Hello Kiddo.
This question is a bit confusing to me, but I think I grasped the concept.
1. x best represents Sarah's mom's age.
2. x - 24 best represents Sarah's mom's age minus how much younger Sarah is than her mom.
3. The expression would look a little like this:
2x-24 = 68
+ 24 +24
2x = 92
/2 /2
x = 46.
Which means, Sarah is 22 and her mom is 46 years of age.
If you need more clarification, I'd be more than happy to elaborate further.
You can skip 4 in that equation and you'll be left with 2x+12=0, which gives you 2x=-12 and finally, x=-6
Answer:
290 adults and 341 children
Step-by-step explanation:
You need to find out if 57 can be divided evenly by a number other than 1 and 57.
57 is odd, so it is not divisible by 2.
The digits of 57 are 5 and 7. Add 5 + 7 to get 12. Since 12 is divisible by 3 (12/3 = 4), then 57 is also divisible by 3.
57/3 = 19
19 is a prime number, so the only factors of 57 are 1, 3, 19, 57.
57 rows can be divided into 19 sections of 3 rows each or 3 sections of 19 rows each.
Solution:
1. Move all terms to one side
<span>25{x}^{2}+40x+16-28=0</span>
2. Simplify <span>25{x}^{2}+40x+16-28 to <span>25<span>x<span><span>2</span><span></span></span></span>+40x</span></span><span><span>−12</span></span>
<span>25{x}^{2}+40x-12=0</span>
3. Apply the Quadratic Formula<span>x=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}
</span>
4. Simplify solutions
<span>x=-\frac{2(2-\sqrt{7})}{5},-\frac{2(2+\sqrt{7})}{5}</span>
Done!