A store clerk put out packages of chocolate chip and oatmeal cookies on a shelf. The ratio of the number of packages of oatmeal cookies to total cookies on the shelf was 3 to 10. Which number could be the number of packages of chocolate chip cookies the clerk put out on the shelf?
a 9
b 6
c 20
d 14

D) 14

Step-by-step explanation:

If the ratio of oatmeal to total cookies is 3:10 and chocolate chip is the only other type of cookie, that means there’s 7 choco chip for every 10 total cookies. Assuming the clerk put the cookies out in packages or something of 10, the answer would be D since it is the only answer that is a multiple of 7

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.