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il63 [147K]
4 years ago
6

The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

Mathematics
1 answer:
hodyreva [135]4 years ago
7 0
To find the answer,we can set up two equations:

Let the integer be x and y seperately,and x be the larger number:

x+y=74
y=74-x....(1)

x-2y=26...(2)

Put (1) into (2):

x-2(74-x)=26
x-148+2x=26
3x=26+148
x=174/3
x=58

Put the above answer into (1):

y=74-58
y=16

Therefore,the answer is x=58, y=16.

Hope it helps!
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Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s
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Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0
4 years ago
Read 2 more answers
a polygon of 100 sides has all possible drawn from a chosen vertex to the others. how many triangles are formed
Hoochie [10]

Answer:

98

Step-by-step explanation:

for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.

For 5 sides  you get 3 triangles

For 6 sides  - 4

For 7 sides  - 5

For 8 sides - 6

Looks like we get 2 less triangles than the number of sides in the polygon


Answer for 100 sides is 98 triangles.

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3 years ago
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kipiarov [429]

Answer:

B (I think)

Step-by-step explanation:

$2.88 divided by 12 is 0.24

8 0
3 years ago
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Over [174]

Answer:

b=-8

Step-by-step explanation:

Sorry I don't have time to show work right now and write it down but this is the answer.

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