Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
Answer:
3.5 m/s
Step-by-step explanation
Remove brackets
d = t^2 + 0.2t + 3.3t + .66
Combine
d = t^2 + 3.5t + .66
The initial velocity is 3.5
Answer:
$128.49
Step-by-step explanation:
4 gallons at $15.72 each is 4×$15.72 = $62.88
3 gallons at $21.87 each is 3×$21.87 = $65.61
The total purchase is ...
$62.88 +65.61 = $128.49
Tim will be spending $128.49 on paint.
Step-by-step explanation:
the first one is 2 that appears most while the second is 20 and 3
The transformation was a reflection over the line x = -0.5
And the image and preimage can be seen in the graph below.
<h3>
How to identify the preimage and image?</h3>
First, the original vertices are:
L(3, 3)
M(2, 4)
N(-1, 0)
3 vertices means that our figure is a triangle.
Now, the transformed vertices are:
L'(2, -5)
M'(3, -4)
N'(-1, 1)
And the graph of both sets can be seen below.
Now we can try to identify the transformation.
Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5
This is a clear implication that the transformation was a reflection over the line x = -0.5
If you want to learn more about transformations:
brainly.com/question/4289712
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