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egoroff_w [7]
3 years ago
11

Greg needs at least $1.60 in stamps to mail a package. He has 28cent stamps and 4cent stamps. He can use no more than twenty 4ce

nt stamps as he only has one book left.
Write a system of linear inequalities to represent this situation.
Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

19 4-cent stamps and 3 28-cent stamps should be used.

Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:

  • (0.04 x 20) + 0.28X = 1.60
  • 0.80 + 0.28X = 1.60
  • 0.28X = 1.60 - 0.80
  • 0.28X = 0.80
  • X = 0.8 / 0.28
  • X = 2.85

  • (3 x 0.28) + 0.04X = 1.60
  • 0.84 + 0.04X = 1.60
  • 0.04X = 1.60 - 0.84
  • 0.04X = 0.76
  • X = 0.76 / 0.04
  • X = 19

Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.

Learn more in brainly.com/question/15325318

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3 years ago
All 231 students in math club went on a field trip some rode in vans that held 7 people and some rode on buses that held 25 peop
MariettaO [177]

Answer:

8 vans

7 buses

Step-by-step explanation:

Let there be "b" buses

and "v" vans

Since 7 people is the capacity of vans, the total capacity is

7v

Also, since 25 people is the capacity of 1 bus, the total capacity is

25b

In total 231 people, so we can write our first equation as:

7v + 25b = 231

Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:

v + b = 15

Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:

v + b = 15

v = 15 - b

Now,

7v + 25b = 231\\7(15-b) + 25b = 231\\105-7b+25b=231\\18b=126\\b=7

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Since 15 vehicles in total, the number of vans is:

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4 years ago
Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

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3 years ago
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