Answer:
Jessica spent 10 months in Spain and 8 months in Colombia.
Step-by-step explanation:
Let x be the number of months Jessica lived in Spain, then she lived 18 - x months in Colombia.
She learned an average of 160 words per month when she lived in Spain, so she learned 160x words in Spain.
She learned an average of 200 words per month when she lived in Colombia, so she learned 200(18-x) words in Colombia.
In total, she learned a total of 3,200 new words, thus
![160x+200(18-x)=3,200\\ \\160x+3,600-200x=3,200\\ \\160x-200x=3,200-3,600\\ \\-40x=-400\\ \\x=10](https://tex.z-dn.net/?f=160x%2B200%2818-x%29%3D3%2C200%5C%5C%20%5C%5C160x%2B3%2C600-200x%3D3%2C200%5C%5C%20%5C%5C160x-200x%3D3%2C200-3%2C600%5C%5C%20%5C%5C-40x%3D-400%5C%5C%20%5C%5Cx%3D10)
Jessica spent 10 months in Spain and 8 months in Colombia.
Okay, the answer for the first problem is -24x-54. The second is -12k^4-16k^3+20k^2. Finally. the third one is -24x^3. Hope you get it.
Answer:
In 7 years
Step-by-step explanation:
Let
n ----> the number of years
x -----> Kate's age
y ----> Victor's age
we know that
![(x+n)=2(y+n)](https://tex.z-dn.net/?f=%28x%2Bn%29%3D2%28y%2Bn%29)
we have
![x=17\\y=17-12=5\\](https://tex.z-dn.net/?f=x%3D17%5C%5Cy%3D17-12%3D5%5C%5C)
Victor's age is 5
substitute the given values
![(17+n)=2(5+n)](https://tex.z-dn.net/?f=%2817%2Bn%29%3D2%285%2Bn%29)
Solve for n
![17+n=10+2n](https://tex.z-dn.net/?f=17%2Bn%3D10%2B2n)
![2n-n=17-10](https://tex.z-dn.net/?f=2n-n%3D17-10)
![n=7](https://tex.z-dn.net/?f=n%3D7)
<u><em>Verify</em></u>
In 7 years
Kate's age is 17+7=24
Victor's age is 5+7=12
24=2(12)
so
Kate is twice as old as Victor
Answer:
I belive its 300
Step-by-step explanation:
Brainlist?
You have to find the angle for it try it!!!!!!!!!!