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Flura [38]
3 years ago
10

the perimeter of a pool table is 30 ft.The table is twice as long as it is wide.what is the length of the pool table.

Mathematics
1 answer:
noname [10]3 years ago
4 0
Perimeter is legnth +legnth + width + width or
P=2L+2W

L=2W
subsitute L=2W for L in P=2L+2W

P=2(2W)+2W
P=4W+2W
P=6W

we know that Perimiter=30 so
30=6W
divide both sides by 6
5=Width

subsitute W=5 for W in L=2W
L=2(5)
L=10

to check
10=2(10)+2(5)
30=20+10
30=30
checks


Legnght=10
Width=5
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The table represents the temperature of a cup of coffee over time.
Harrizon [31]

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

6 0
2 years ago
Read 2 more answers
The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $8.00, and bags of cookies
vodka [1.7K]

Answer:

Number of bags of candy = 2

Number of bags of cookies = 7

Step-by-step explanation:

Let, number of bags of candy = X

So, Number of bags of cookies = X + 5

Cost of candy bag = $8

Cost of cookies bag = $2.5

Total sales = $33.50

So, Total cost of Candy Bags + Total cost of cookies bags = Total sales

= 8X + 2.5 ( X +5) = 33.50

= 8X + 2.5X + 12.5 = 33.50

= 10.5X = 33.50 - 12.5

= 10.5X = 21

X = 2

So, number of bags of candy = 2

Number of bags of cookies = 2 + 5 = 7

4 0
3 years ago
Y − 16 =<br> plzzz helpppp
chubhunter [2.5K]
Well it depends do u want it in rational form or fraction from or?
5 0
2 years ago
Please Help. ASAP!!
Ratling [72]

Answer:

Equation:   x + (x+ 1) = 67

Step-by-step explanation:

We want to find two consecutive integers.

Let them be labeled as  x and x + 1

We want  x + (x + 1) = 67

x is the smaller number

x + 1 is the largest

We can solve for x.

x + (x + 1) = 2x + 1 = 67

2x = 66

x = 33

The largest integer is 34

3 0
2 years ago
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard
laiz [17]

Answer:

option B.

About 16% of the books have fewer than 150 pages

Step-by-step explanation:

Since we are dealing with a normal distribution

68.27% of the values will fall in the range with the standard deviation

(180-30 , 180+30) = (150, 210)

Approximately 15.86% of the values will be higher than 210

and the rest 15.86% will be lower than 150

So the correct answer is option B.

About 16% of the books have fewer than 150 pages

4 0
3 years ago
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