Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 do
1 answer:
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Answer:
3/7
Step-by-step explanation:
To find the scale factor we have to compare the initial points to the final points, we can do this by observing only one corner of the triangle, as it will apply to the entire triangle.
<u><em>Let's look at C and C'</em></u>
The coordinates of C are (7,-7)
The coordinates of C' are (3,-3)
<u><em>To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinates</em></u>
We essentially have to find what 7 is multiplied by to get 3, we'll make an equation
7x=3
Solve for x by dividing both sides by 7
x=3/7 <------- This shows that our scale factor in this case is 3/7
<em><u>Now we will test this on our y-coordinates</u></em>
-7(3/7)=-3
=-3?
The 7's on the top and bottom simplify to -1
-1(3)=-3?
-3=-3 <------- This is true! So we know this is our scale factor for the entire triangle
Hope I could help!
<em> -Kaylyn</em>
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This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2 ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2 ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2 ft by nine
so
Total length = 9 × 2
we convert the mixed fraction to improper fraction
2 = 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft