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BartSMP [9]
3 years ago
7

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0
Replacing x by 4 in the above equation, you get:

2(20-2)+2(12+1)
2(18)+2(13)
36+26
=62 cm

As simple as that.
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Which rate is the best deal for a box of cereal?
kondor19780726 [428]
The answer is c. You find the price per ounce. 4.29/24 = .178 then 3.49/18= .193 then 6.39/39= .163 and 2.49/14 = .177. The cheapest is c. Hope this helps!!!
8 0
3 years ago
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day.
Ber [7]

Answer:

Part A)

  • 4.50 × 3 > 4.50 × 2
  • 13.5 0 > 9

Part B)

  • r ≥ 7

Explanation:

1) The earnings are calculated multiplying the number of hours by the hourly rate.

2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour

3) Let the variable used for computing the number of hours be h.

4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:

  • P = 4.50 × 3

5) Similarly, the expression to calculate Cindy's earnings would be:

  • C = 4.50 × 2

<u>Answering part A)</u>

<u>Y</u>ou have to write an inequality to compare Peter's and Cindy's earnings:

  • 4.50 × 3 > 4.50 × 2
  • 13.5 0 > 9

This is, the earnings of Peter are greater than the earnings of Cindy.

<u>Part B)</u>,

You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.

  • Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.

  • Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.

  • To solve it follow these steps:

Given: 2r ≥ 14

Divide both sides by 2: r ≥ 14 / 2

Simplify: r ≥ 7

That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.

7 0
3 years ago
I really need help with this .
gavmur [86]

Answer:

x= 12

Step-by-step explanation:

Here we have vertical angles, this means that they are angles that are across from each other on vertical lines. So, they equal each other.

The equation would be: 60= 5x

The only step is to divide 5 to both sides of the equation.

<u>60</u>= <u>5x</u>

5     5

x= 12

8 0
3 years ago
Read 2 more answers
The tables show the number of chin-ups done by students in two different gym classes. 2nd Period 3 4 12 14 7 7 8 4 8 3 11 10 9 8
Mekhanik [1.2K]

Answer:

On average, students in the 4th period did more chin-ups than students in the 2nd period

Step-by-step explanation:

Given the table values as

2nd Period     3  4 12 14 7  7  8  4  8  3  11  10  9   8 10 4  8 7  13 9

4th Period      10 3 14 14 16 15 7 12 7  10 12  8  10  9 6  11  9 1   2 5

Find the average chin-ups done by students in the gym classes

For 2nd Period gym class, the average will be;

=sum of chin-ups ÷ number of students

=sum of chin-ups in 2nd period gym class=

=3 + 4 +12+ 14+ 7 + 7 + 8+  4 + 8 + 3+  11+  10+  9 +  8 +10+ 4+  8+ 7 + 13+ 9\\\\=159

=number of students=20

Average=159÷20

=\frac{159}{20} =7.95\\\\\\=8

For 4th Period gym class

Sum of chin-ups=

=10+ 3+ 14+ 14 +16 +15+ 7 +12 +7+ 10+ 12 +8+ 10+ 9+ 6+ 11+ 9 +1 +2 +5\\\\\\=181

Number of students=20

Average number of chin-ups in the 4th period gym class

=\frac{181}{20} =9.05\\\\\\=9

Average number of chin-ups in 2nd Period Class = 8

Average number of chin-ups in 4th Period Class= 9

Conclusion; On average students in the 4th period gym class made more chin-ups (9) than those in 2nd period gym class (8).

3 0
4 years ago
Read 2 more answers
mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in ho
adell [148]

Answer:

3 years

Step-by-step explanation:

let the number of years required be x

hence

42+x+44+x = 4(7+x+5+x+2+x)

86+2x = 4(14+3x)

86+2x = 56+12x

2x-12x = 56-86

-10x = -30

x = 3

3 0
3 years ago
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