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Afina-wow [57]
1 year ago
14

Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes.

Box 1: The length is 3 times the width. Box 2: The length is 1 less than 4 times the width. The dimensions of the base of Box 1 are: width: x; length: 3 width: x; length: x + 3 width: x; length: x – 3 width: x; length: 3x
Mathematics
2 answers:
densk [106]1 year ago
6 0

The dimensions of the base of Box 1 are x by 3x.


The base area of Box 1 is:

3x^2

nignag [31]1 year ago
6 0

Answer:

D. Width = x and Length = 3x

Step-by-step explanation:

We are given that,

<em>The length of Box 1 is 3 times the width of Box 1.    ..................(1)</em>

Let the width of Box 1 = x

So, from (1), we have,

Length of Box 1 = 3 × Width of Box 1

i.e. Length of Box 1 = 3x

Thus, the dimensions of Box 1 are : Width = x and Length = 3x

Hence, option D is correct.

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Read the word problem below. Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours
Romashka-Z-Leto [24]

Answer:

its A

Step-by-step explanation:

i literally just took the test

3 0
2 years ago
8.3.7 From the data on the pH of rain in Ingham County, Michigan: 5.47 5.37 5.38 4.63 5.37 3.74 3.71 4.96 4.64 5.11 5.65 5.39 4.
Step2247 [10]

Answer:

95% Confidence Interval: 4.7 ± 1.57

3 0
1 year ago
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
Gelneren [198K]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

6 0
1 year ago
Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

7 0
1 year ago
Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
nadya68 [22]

Answer:

The answer would be A. 55.

Step-by-step explanation:

For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.

For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.

5 0
1 year ago
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