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Marysya12 [62]
3 years ago
7

Divide 120 cm in the ratio 1:2:3

Mathematics
2 answers:
aev [14]3 years ago
5 0
1 over 6 times 120=20
2 over 6 times 120=40
3 over 6 times 120=60
Bond [772]3 years ago
3 0
120 cm divided into the ratio 1:2:3 would be 20 cm: 40 cm: 60 cm
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Two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms
andrew11 [14]

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

<h3>How to find the sum of terms using Arithmetic sequence formula</h3>

aₙ = a + (n - 1)d

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: brainly.com/question/1687271

4 0
2 years ago
Brandon picked 14 of a pound of cherries. That afternoon, Brandon's brother ate 12 of the cherries. How many pounds of cherries
stellarik [79]

Answer:

2

Step-by-step explanation:

Brandon picked 14 pounds of cherries but later in the afternoon Brandon's brother ate 12 so you would subtracts

14-12 = 2

8 0
3 years ago
If you are receiving $57.94 in change, what is the lowest combination of bills and coins that will still give you the correct ch
mestny [16]

1   50 dollar bill

1    5 dollar bill

2   1 dollar bills

3    quarters

1      dime

1       nickel

4      pennies




7 0
3 years ago
The cheapest available ticket for Super Bowl Ll on the secondary market costs
drek231 [11]

Answer:

He must work 52 days to pay for a single ticket.

Step-by-step explanation:

This question can be solved using proportions.

Per hour:

Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.

Per day:

He works 9 a.m. to 5 p.m. each day, so 8 hours a day.

For each hour, he earns $5.8.

So in a day, he makes 8*5.8 = $46.4

How many days he must work:

The ticket costs $2400.

He makes $46.4 a day.

So, to buy a ticket, he needs to work:

2400/46.4 = 51.7 days

Rounding up

He must work 52 days to pay for a single ticket.

7 0
2 years ago
10 % of what number is 29?
Anestetic [448]

Answer:

290

Step-by-step explanation:

To solve this problem you multiply 29 by 100 and then divide the total by 10 as follows:

(29 x 100) / 10

Therefore, you can derive that 10 percent of 290 equals 29.

Note that the answer provided is rounded to the nearest two decimals if necessary.

3 0
3 years ago
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