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Mariulka [41]
3 years ago
14

Ben gets 5 more presents than his naughty little sister Gwen this holiday season. If together they receive 21 presents, how many

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

9514 1404 393

Answer:

  • Ben: 13
  • Gwen: 8

Step-by-step explanation:

The given relations give rise to two equations:

  b = g + 5

  b + g = 21

Using the first to substitute for b in the second, we have ...

  (g +5) +g = 21

  2g = 16 . . . . . . . subtract 5

  g = 8 . . . . . . . . . divide by 2

  b = 8 +5 = 13

Ben got 13 presents; Gwen got 8.

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<h2>Solution :</h2>

Area = 30 units²

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Area (formula) = base×height = x×5 units= 30 units²

= x= 30/5 = 6 units

<h2>Thus , the height = 6 units</h2>
3 0
3 years ago
13+(3+7)=(13+3)+7 what property is that​
Reil [10]

Answer: Associative property

Step-by-step explanation:

5 0
3 years ago
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The senate in a certain state is comprised of 51 republicans, 48 democrats, and 1 independent. How many committees can be formed
Sedaia [141]
17 since 51 goes into 3 17 times and 2 goes into 48 24 times and 17 is the largest number that can have 3 republicans and 2 democrats. The andwer would be 17 comittees,
5 0
3 years ago
Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

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7 0
3 years ago
The 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find
Viktor [21]

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

Learn more about geometric progression here:

brainly.com/question/24643676

#SPJ4

Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

6 0
1 year ago
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