Triangle DEF is scalene
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The ratio of the shortest sides is 12/5. Multiplying the other two sides of the smaller triangle by that ratio gives 15 and 18, so the ratios of all sides are the same. The triangles are similar.
ABC ~ ZYX
The largest/smallest scale factor is 12/5 = 2.4.
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
Answer:
Tj should write 5.75 hours on her time card.
Step-by-step explanation:
We have been given, Tj worked for 5 hours and 45 minutes.
We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.
=0.75 hours
Hence, Tj should write 5.75 hours on her time card.
Answer:5hours
Step-by-step explanation:
58-10 = 48 dollars remain after the first hour
48/12 = 4 hours after the first hour
1+4=5 total hours
