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tatyana61
2 months ago
10

The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively is? Please I need an answer with a full exp

lanation. The first answer will be marked brainiest
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
4 0

Answer:

The highest number is 13.

Step-by-step explanation:

We are tasked with finding the highest number that can divide both 60 and 75, yielding remainders of 8 and 10, respectively.

This signifies that we seek divisors such that, when dividing 60, we receive a remainder of 8, while dividing 75 yields a remainder of 10.

For 60:

In this case, the number turns out to be 13 for 60.

This arises because we need a remainder of 8, which transforms our focus to 60 - 8 = 52.

Thus, 13 serves as the largest divisor of 52 in this scenario.

For 75:

We consider a remainder of 10; deducting this from 75 gives us 75 - 10 = 65.

Again, 13 appears here because 13 multiplied by 5 equals 65, and we are 10 units below 75.

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Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ
Inessa [12570]

Answer:

The cost difference per mile between the two companies is $0.12.

Step-by-step explanation:

Gabi formulates the equation 0.22m+7.20=0.1m+8.40 to determine after how many miles, denoted as m, the charges of both companies will be equal.

The first company levies c_1=0.22m+7.20 for m miles traveled.

The second company's charge for the same m miles is c_2=0.1m+8.40.

In these equations, the figures 7.20 and 8.40 signify the initial fees the companies impose.

The values 0.22 and 0.1 represent the respective costs per mile.

As such, the disparity in per-mile charges amounts to 0.22-0.1=0.12.

An alternative method to tackle this problem is by calculating the per-mile rate for each company:

1. Cost per mile for the first company

c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22

2. Cost per mile for the second company

c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1

3. The difference:

0.22-0.1=0.12

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1 month ago
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