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KatRina [158]
3 years ago
7

HELP!!!

Mathematics
2 answers:
Murrr4er [49]3 years ago
3 0
We can define variable as<span> any factor, trait, or condition that can exist to vary or change.
</span>
Perimeter of rectangle = 2(l+w)
let l is the length of the garden
and w is the width of the garden =<span> 6 less than the length = l - 6
perimeter = 188 feet
p = 2(l+w)
188 = 2 (l + (l-6))
188 = 2(l + l - 6)
188 = 2(2l-6)
188 = 4l - 12
4l = 188+12
4l = 200
l=50 
w = l - 6 = 50 - 6 = 44
Thus, the dimensions, length is 50 feet and width is 44 feet.</span>
irina [24]3 years ago
3 0
<span>Let L = length. Therefore, by given information the width, W, is equal to L-6. Perimeter = 2*length + 2*width or 2L+2W. Substitute in values we get 188 = 2*L + 2*(L-6) Expand: 188 = 2*L + 2*L - 12 Add 12 to both sides and combine like terms: 200 = 4*L Divide both sides by 4: 50 = L The length if found to be 50 feet. The width is then 50 - 6, or 44 feet. We can confirm that the perimeter is 50+50+44+44 feet, or 188 feet.</span>
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Simplify the expression -2(y-1)+3(y+2)
romanna [79]

Answer:  y+8

Step-by-step explanation:

-2(y-1)+3(y+2)

-2y+2+3y+6

y+8

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3 years ago
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4 0
3 years ago
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mya has ballet lessons every sixth day and swimming every fourth day. today she has both lessons. in how many days will mya have
ra1l [238]
To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.

When you get to the first number that is the same, that will be the next time she will have both lessons again.  This is called the least common multiple (LCM).

4, 8, 12, 16, 20, ...
6, 12, 18, 24

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5 0
3 years ago
Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 incl
Paul [167]

Answer:

range of scores on final exam student get  B is 90 to 100

Step-by-step explanation:

given data

Psychology 101 score = 66

average of his midterm = between 78 and 90

maximum = 100 points

to find out

range of scores on final exam student get  B

solution

we consider here lowest marks need in final = x

so average at two marks should be

equation is  

average marks = 0.5 × ( mid term marks + final marks )      .................1

put here value

78 = 0.5 ×  ( 66 + x )

x = 90

and

90 = 0.5 ×  ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get  B is 90 to 100

3 0
3 years ago
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