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Marrrta [24]
3 years ago
12

Prove the value of the expression: 5^18-25^8 is divisible by 120

Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

Step-by-step explanation:

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Lin's sister has a checking account. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day.
VladimirAG [237]

Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.

Step-by-step explanation:

Today, Lin's sister's balance is -$2.67

She gets charged $5.95 per day.

There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times

So her balance after 14 days will be:

Balance = -$2.67 - $5.95*14 = -$85.97

When she charges the $430 in the account, her balance will be:

Balance = -$85.97 + $430 = $344.03

So now she has a positive balance, which means that the bank does not charge her anymore.

5 0
3 years ago
How much times will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed o
DedPeter [7]
Alex walks 3 miles per hour. So if he need to find how much time he will need to get to school, you just have to divide the distance from school by his miles per hour. 2.25/3 which equals 0.75. 0.75 is the percent of an hour he needs to walk 2.25 miles. To find the total minutes, multiply 0.75 by 60 to get 45. Alex takes 45 minutes to walk to school.
4 0
3 years ago
The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including
anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$  

                                         = 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

                                     $=\frac{10}{24}$

                                     $=\frac{5}{12}$

c). The percent of the roof used as overhung is

     $=\frac{4+4}{60}\times 100$

     $=\frac{80}{6}$

       = 13.33 %

8 0
2 years ago
What is the best description of the data in the histogram
Bingel [31]
A-the data set is symmetrical
7 0
2 years ago
Anyone can y’all help me. What’s the mistake in this? And what’s N actually equal to?
PSYCHO15rus [73]

Answer:

n = -1

Step-by-step explanation:

you've accidently substracted 6n from 12n when you were supposed to be adding them. (-6n becomes +6n when brought to the otherside of the equal sign)

4 0
2 years ago
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