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ASHA 777 [7]
1 year ago
11

John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint

ing is 5.83 in. Taller it is wide,find the dimensions of the painting. what is the width? what is the length?
Mathematics
1 answer:
Alexxandr [17]1 year ago
5 0

Answer:

Width =22.955 in

length =28.785 in

Step-by-step explanation:

let width=x

painting is 5.83 in taller than it is wide

length =x+5.83

Perimeter of rectangle =2 (length+width)

Perimeter of painting =103.48

2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=\frac{45}{2} \\x=22.955

width =x=22.955 in

length =x+5.83=22.955+5.83=28.785 n

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Bella sanchez's budget and expenditure for personal items during the month of july is shown. how much less did bella spend than
Rashid [163]
<span>The question here is how much less Bella spent in July than she budgeted. So firstly we have to know how much she budgeted and how much she spent in order to know the difference. Her total budgeted money is equal to $110. On the other hand, her total expenditure is equal to $85.50. So the difference between the two amounts is $24.5.</span>
7 0
1 year ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to
Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0
1 year ago
In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc
Daniel [21]

Answer:

The  number is  N  =1147 students

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

    The sample size is  n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

             \frac{X - \mu }{\sigma }  =  Z  (Standardized \ value \  of  \  X )

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

                                         and  P(z_1 < -0.9012) =  0.18374

     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

           N  =1147

6 0
2 years ago
A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b
Mama L [17]

(a) A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 4/7. What is the probability of choosing a blue block?

Answer:

7/11 is the probability of choosing a blue block.

Step-by-step explanation:

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

(b) Amanda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest are 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is 13/20.

It means, in 20 total chances, 13 times an event will happen where Amanda's character unlocks the treasure chest while the rest 7 times, her character would not open treasure chest.

Favorable events: 13

Unfavorable events: 7

Hence, the odds in favor of her character unlocking the treasure chest are 13/7.

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2 years ago
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Naya [18.7K]
B) 65.84 add 67.5 and 6.443 and divide sum by 1.123
7 0
1 year ago
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