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Tomtit [17]
3 years ago
13

At a cherry farm, the cost per pound of cherries depends on the amount of cherries bought. For an amount up to 100 pounds, the c

ost is $1.75 per pound, and, for an amount over 100 pounds, the cost is $1.50 per pound. Ralph bought 60 pounds and Jeff bought 80 pounds separately. If they had bought the total amount jointly, how much would they have saved?
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

they would have saved 35 dollars

Step-by-step explanation:

Ralph on his own would have paid  105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.

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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference
adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: a=2

Sum of first 15 terms: S_{15}=292.5

The formula of sum of first n terms of an AP is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Where, a is first term and d is common difference.

Putting S_{15}=292.5, n=15 and a=2 in the above formula, we get

292.5=\dfrac{15}{2}[2(2)+(15-1)d]

292.5=\dfrac{15}{2}[4+14d]

292.5=15[2+7d]

Divide both sides by 15.

\dfrac{292.5}{15}=2+7d

19.5=2+7d

19.5-2=7d

17.5=7d

Dividing both sides by 7, we get

\dfrac{17.5}{7}=d

2.5=d

Therefore, the common difference is 2.5.

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An angle measures 76° more than the measure of its supplementary angle. What is the measure of each angle?
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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