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Mariana [72]
3 years ago
12

Susan placed a picture in a frame. The picture is x inches wide. The pictures length is 2 inches greater than the width. The fra

me is 1 inch wide on all sides. The perimeter of the frame is 32 inches. Write an expression that represents the width of the frame.

Mathematics
1 answer:
enyata [817]3 years ago
7 0

x + 2

Step-by-step explanation:

2 ( x + 2) + 2 (x + 4) = 32

2x + 4 + 2x + 8 = 32

4x + 12 = 32

4x = 32 – 12

4x = 20

x = 5

Width of picture  = 5 inches

Length of picture (x + 2) = 7 inches

Length of frame = x + 2 + 2 = 9 inches

Width of frame = x + 2 = 7 inches

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What is the mean median and mode for 50, 55,42,38,163,55,61​
Likurg_2 [28]

Answer:

Mean: 67.7 (rounded to the nearest tenth)

Median: 52.2

Mode: 55

Step-by-step explanation:

To find the the mean is to take all the numbers, all them together and divide by how many numbers there is. 50+55+42+38+163+55+61= 564 then divided by 6 is 67.7

to find the median is to put all the numbers in order, (I prefer to go increasing order) and then find the middle number. If there is no  middle number you take the two numbers around it and subtract them from one n another.

Mode is to find the most common number. Whichever number repeats itself

Hope I helped!

3 0
3 years ago
Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0
2 years ago
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Simplify sec(t)cot(t) to a single trig function or constant with no fractions
lana66690 [7]

Answer:

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4 0
2 years ago
A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.41 per box, and felt-tip
natka813 [3]

Answer:

3

Step-by-step explanation:

Let x = # of boxes of felt-tip pens.

(x)(3.44)+(4x)(4.41) = 63.24

21.08x = 63.24

x = 3

Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.

6 0
1 year ago
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back a
vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

Than the equation becomes

\frac{x}{10} +\frac{x}{3} = 6.5

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Than the equation becomes

3x +10x = 195

solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

6 0
3 years ago
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