Question 706857
1. {{{15}}} to {{{27}}} or {{{15/27=cross(15)5/cross(27)9=5/9}}}
so, {{{15}}} to {{{27}}} ratio is not in simplest form, simplest form is{{{5}}} to {{{9}}}


2.  {{{7}}} to {{{18}}} or {{{7/18}}} is in simplest form because {{{7}}} and {{{18}}} have no common divisor

3.  {{{11/55=cross(11)1/cross(55)5=1/5}}}
so, {{{11/55}}}  ratio is not in simplest form, simplest form is{{{1/5}}} 

4. {{{16}}} to {{{5}}} or {{{16/5}}} is in simplest form because {{{16}}} and {{{5}}} have no common divisor

5. {{{18}}} to {{{3}}} or {{{18/3=cross(18)6/cross(3)1=6/1}}}
so, {{{18}}} to {{{3}}} ratio is not in simplest form, simplest form is{{{6}}} to {{{1}}}

6. {{{42}}} to {{{14}}} or {{{42/14=cross(42)cross(6)3/cross(14)cross(2)1=3/1}}}
so, {{{42}}} to {{{14}}} ratio is not in simplest form, simplest form is{{{3}}} to {{{1}}}

Solve the proportion:

7. {{{3/4=x/8}}}....cross multiply

{{{3*8=4x}}}

{{{24=4x}}}

{{{24/4=x}}}

{{{6=x}}}

8. {{{1/5=m/30}}}....cross multiply

{{{1*30=5m}}}

{{{30=5m}}}

{{{30/5=m}}}

{{{6=m}}}

9. {{{5/20=a/4}}}....cross multiply
{{{5*4=20a}}}

{{{20=20a}}}

{{{20/20=a}}}

{{{1=a}}}

10, 11, 12, 13, 14, and 15 you can do yourself same way as I did 7,8, and 9

Match the sentence:

16. answer is B
17. answer is C
18. answer is A

19. Rainy days
a. rainy days ratio is {{{18/90= cross(18)2/cross(90)10=cross(2)1/cross(10)5=1/5}}}

b. if there was {{{18}}} rainy days, then {{{90-18=72}}} days with no rain
so, the ratio of the number of days it didn’t rain is:
 {{{72/90=cross(72)4/cross(90)5=4/5}}}

c.  
rainy days:{{{18}}}
days it didn’t rain: {{{72}}}
the ratio is: {{{18/72=cross(18)1/cross(72)4=1/4}}}

20.
a. ratio bean -tomato is {{{4/8=1/2}}}
b. ratio tomato to bean and pepper is {{{8/(4+6)=8/10=4/5}}}
c.pepper  to all plants {{{6/(4+6+8)=6/18=2/3}}}

21.

{{{2}}} pg. in {{{30}}} min
{{{x}}} pg. in {{{180}}} min

{{{2/30=x/180}}}...cross multiply

{{{2*180=30x}}}

{{{360=30x}}}

{{{360/30=x}}}

{{{12=x}}}

22.
{{{6}}} cards in {{{45}}} min
{{{x}}} cards in {{{120}}} min

{{{6/45=x/120}}}...cross multiply

{{{6*120=45x}}}

{{{720=45x}}}

{{{720/45=x}}}

{{{16=x}}}