Use distributive property:
16. 5k(3 - 4k)
15k - 20k^2
18. 6g^2(g - 8)
6g^3 - 48g^2
20. -2n^2 (5n - 9 + 4n^2)
-10n^3 + 18n^2 - 8n^4
Answer:
- 12x +9y ≥ 510
- y ≤ 2x
- y ≥ 25
Step-by-step explanation:
Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...
12x +9y ≥ 510
__
Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...
y ≤ 2x
__
Richie will walk at least 25 dogs, so ...
y ≥ 25
Answer:
B.
Step-by-step explanation:
None of the other answers make sense, so just by process of elimination it should be B.
Good luck on your assignment!
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B1%20%5Cfrac%7B2%7D%7B15%7D%7D%7D%7D%7D%7D%20)
Step-by-step explanation:
![\sf{1 \frac{7}{10} \times \frac{2}{3} }](https://tex.z-dn.net/?f=%20%5Csf%7B1%20%5Cfrac%7B7%7D%7B10%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D)
Convert the mixed number into improper fraction
![\longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B10%20%5Ctimes%201%20%2B%207%7D%7B10%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%7D%7D%20)
![\longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B17%7D%7B10%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%7D%7D%20)
To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term
![\longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B17%20%5Ctimes%202%7D%7B10%20%5Ctimes%203%7D%7D%7D%20)
![\longrightarrow{ \sf{ \frac{34}{30}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B34%7D%7B30%7D%7D%7D%20)
![\longrightarrow{ \sf{ \frac{17}{15} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B17%7D%7B15%7D%20%7D%7D)
Convert the improper fraction into mixed number
![\longrightarrow{ \sf{1 \frac{2}{15} }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B1%20%5Cfrac%7B2%7D%7B15%7D%20%7D%7D)
Hope I helped!
Best regards! :D