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Anit [1.1K]
3 years ago
12

Brenda has two pieces of string, one 28 feet long and the other 42 feet long. For an art project, she wants to cut them up to pr

oduce many pieces of string that are all of the same length, with no string left over. What is the greatest length, in feet, that she can make them?
Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

7 feet

Step-by-step explanation:

Length of one piece of string = 28 feet.

Length of the second string = 42 feet.

Since the number of required pieces was not given but many are required, the greatest length can be determined by;

If the maximum length is 7 feet, then:

the number of pieces from 28 feet long string = \frac{28}{7}

                                                      = 4

Also,

the number of pieces from the 42 feet lone string = \frac{42}{7}

                                                    = 6

Total number of 7 feet strings that she can make = 4 + 6

                                                    = 10

Since many pieces are required, the greatest length she can make is 7 feet. If she increase the length to 14 feet, the number of pieces would be 5 which limit the required number.

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It costs $35 for one adult and two children to attend a show It costs $60 fot two adults and three children to attend the same s
Lerok [7]

Answers:

It costs $15 for one adult

It costs $10 for one child

===========================================

Work Shown:

x = cost for one adult ticket (in dollars)

y = cost for one child ticket (in dollars)

"it costs $35 for one adult and two children" so the first equation is x+2y = 35. Solve for x to get x = -2y+35 (subtract 2y from both sides). We'll use this equation later. See the "replacement" step below.

"it costs $60 for two adults and three children" so the other equation to set up is 2x+3y = 60

Use the substitution rule to get rid of the x (replace it with something equivalent in terms of y) then isolate y

2x+3y = 60

2( x )+3y = 60

2( -2y+35 )+3y = 60 ... replace x with -2y+35

2(-2y)+2(35)+3y = 60

-4y+70+3y = 60

-y+70 = 60

-y+70-70 = 60-70

-y = -10

y = 10

Since y = 10, it costs $10 for one kid to get a ticket.

If y = 10, then x must be...

x = -2y+35

x = -2*10+35 ... replace y with 10

x = -20+35

x = 15

Since x = 15, it costs $15 for one adult ticket.

6 0
3 years ago
What is the sum of ∞Σn=1 2(1/5)^n-1? s=1/5 s=2/5 s=5/3 s=5/2
lutik1710 [3]

The sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2

<h3>How to determine the sum of the notation?</h3>

The sum notation is given as:

∞Σn=1 2(1/5)^n-1

The above notation is a geometric sequence with the following parameters

  • Initial value, a = 2
  • Common ratio, r = 1/5

The sum is then calculated as

S = a/(1 - r)

The equation becomes

S = 2/(1 - 1/5)

Evaluate the difference

S = 2/(4/5)

Express the equation as products

S = 2 * 5/4

Solve the expression

S= 5/2

Hence, the sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2

Read more about sum notation at

brainly.com/question/542712

#SPJ1

7 0
2 years ago
Please help ASAP thank you
Zina [86]

Step-by-step explanation:

step 1. 15^18/15^3

step 2. 15^18*15^-3

step 3. 15^(18 - 3)

step 4. 15^15

5 0
3 years ago
If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
cupoosta [38]

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

6 0
3 years ago
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A square piece of tissue paper has sides that are 12 centimeters long. What is the tissue
slega [8]

Answer:

48

Step-by-step explanation:

A square has 4 sides of equal length. 12 x 4=48

7 0
3 years ago
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