Benny wants to make cookies. to make cookies, he needs 7/3 cups of flour per batch of cookies. if benny has 7 cups of flour, then how many batches of cookies can benny make?

With 7 cups of flour  3.13 batches of cookies can be made.

Step-by-step explanation:

The amount of flour needed per batch of cookies = 7/3 cups

=  2.33 cup

⇒ 1 batch of cookies = 2.33 cup of flour

or  the ratio of cookie to flour =         1       :      2.33

Now, the amount of flour Benny has = 7 cups

Let the total batches of cookie made = m

or, ratio of cookie to flour =         m       :      7

So, by the RATIO OF PROPORTIONALITY:

⇒ m = 7 /2.23

or, m   =  3.13

or,  total batches of cookie made = 3.13

Hence, from 7 cups of flour  3.13 batches of cookies can be made.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺