Answer:
17. Scale Factor is 3:1
18. Scale Factor is 1:3
Step-by-step explanation:
Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.
17. Give the scale factor of Figure A to Figure B
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
So, if we divide all sides of figure A by 3 we get Figure B
So, Figure A : Figure B
3:1
18. Give the scale factor of Figure B to Figure A
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
If we multiply 3 with the sides of Figure B we can get the sides of Figure A.
So scale factor is 3.
So, Figure B : Figure A
1:3
21. There are 4 aces and 4 fours. p = 8/52 = 2/13
23. There are 26 black cards and 6 red picture cards. p = 32/52 = 8/13
25. There are 13 clubs and 15 more cards 5 or less. p = 28/52 = 7/13
486 - 9 + 6 + 3³ · 2 = 477 + 6 + 27 · 2 = 483 + 54 = 537
Answer:
Step-by-step explanation:
Set this up as a proportion with the ratios being
If there is a 2:5 ratio of vinegar to oil, that ratio looks like this:
and if we are looking for how much oil, x, is needed for 20 ml of vinegar, then that ratio completes the proportion:
and cross multiply.
2x = 100 so
x = 50 ml of oil
12/30 = 18/45....cross multiply
(30)(18) = (12)(45)
540 = 540...proportional
another way to tell is to see if they are equivalent...because proportions are nothing but equivalent fractions.
12/30 = 2/5
18/45 = 2/5
so yes, they are proportional
