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SSSSS [86.1K]
3 years ago
9

Gordon wants to buy 3 2/5 cups of almonds. There are 1 7/10 cups of almonds in each package. How many packages of almonds should

Gordon buy?
Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

34/77 packages of almonds

Step-by-step explanation:

3 2/5=17/5

1 7/10=77/10

----------------

(17/5)/(77/10)=(17/5)(10/77)=(17/1)(2/77)=34/77

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A jeepney ride cost 11 pesos for the first 4 kilometers and each additional integer kilometers adds 3.50 pesos to the fare, use
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Answer:

f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4  \\-3+3.5d & \text{for}&  d > 4  \end

Step-by-step explanation:

Cost of first 4 kilometers ride = 11 pesos.

So, for the first 4 km, the fair is constant i.e.

for 1 km the fare is 11 pesos,

for 2 km the fair is also 11 pesos,

similarly, for 3 km of 4 km, the fare is 11 pesos.

Hence, for the distance 0\geq d\geq 4, the fair function,

f(d)=11\cdots(i)

After 4 km, there is an increment of $ 3.50 for each kilometer.

So, the fare function up to 5 kilometers,

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So, the fare function up to 6 kilometers, i.e for the distance 5,

f(d)=11+2\times3.5=18

This can be arranged as the fare function up to 6 km,

f(d)=11+(6-4)\times3.5=18

Similarly, the fare function up to d kilometer (n>4),

f(d)=11+(d-4)\times3.5

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Hence, from equations (i) and (ii),

f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4  \\-3+3.5d & \text{for}\;  d > 4  \end

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