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Romashka-Z-Leto [24]
3 years ago
12

Aunt bess uses 3 cups of oatmeal to bake 6 dozen cookies how many cups of oatmeal will she need to bake 18 dozen cookies

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0
There are several important information's already given in the question. Based on those information's the answer to the question can be easily deduced.
Number of cups of Oatmeal
required by Aunt Bess for making 6 dozen cookies = 3
Then
Number of cups of oatmeal
required by Aunt Bess for making 1 dozen cookies = (3/6)
                                                                                  = 1/2
So
Number of cups of oatmeal
required by Aunt Bess for making 18 dozen cookies = (1/2) * 18
                                                                                     = 9 cups
So Aunt Bess will require 9 cups of oatmeal for baking 18 dozen cookies. I hope the procedure is clear enough for you to undestand.
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3 years ago
Show that if S1 and S2 are subsets of a vector space V such that S1 c S2 then span(S1) c span(S2). In particular, if S1 c S2 the
klemol [59]

Answer:

See proof below

Step-by-step explanation:

Assume that V is a vector space over the field F (take F=R,C if you prefer).

Let x\in span(S_1). Then, we can write x as a linear combination of elements of s1, that is, there exist v_1,v_2,\cdots,v_k \in S_1 and a_1,a_2,\cdots,a_k\in F such that x=a_1v_1+a_2v_2+\cdots+a_kv_k. Now, S_1\subseteq S_2 then for all y\in S_1 we have that y\in S_2. In particular, taking y=v_j with j=1,2,\cdots,k we have that v_j\in S_2. Then, x is a linear combination of vectors in S2, therefore x\in span(S_2). We conclude that span(S_1)\subseteq span(S_2).

If, additionally  S_2\subseteq S_1 then reversing the roles of S1 and S2 in the previous proof, span(S_2)\subseteq span(S_1). Then span(S_1)\subseteq span(S_2)\subseteq span(S_1), therefore span(S_1)=span(S_2).

5 0
3 years ago
I need help with all of it
kakasveta [241]
When you bring something up or move something down, you have to multiply the exponent by -1. So in this case, you are bringing up the exponent. Multiply 5 by -1 and your answer should be x^5/1.
5 0
3 years ago
Becky has 8 more marbles than Kim. Together they have 76 marbles. Find the number of marbles that Kim has​
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Answer:

68

Step-by-step explanation:

    76

 -    8

_______

4 0
3 years ago
Jenna and her 3 friends each picked 3 apples off the apple tree in her yard. If an apple weighs 5 ounces, what is the total weig
TiliK225 [7]

Answer:

60 ounces

Step-by-step explanation:

Jenna and her 3 friends = 4 people

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The picked 12 apples.

Each apple weights 5 ounces

12 apples at 5 ounces

12 * 5 = 60 ounces

4 0
3 years ago
Read 2 more answers
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