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bija089 [108]
2 years ago
6

please help! i can't find the answer on brainly because its a multi step problem but here are the screenshots, please help (70 p

oints!!)

Mathematics
1 answer:
stellarik [79]2 years ago
3 0

Answer:

Part A:  12 < 4x < 24  (OR  3 < x < 6)

Part B: the length x needs to be bigger than 3 ft but smaller than 6 ft

Part C: Because the area must be more than 12 square feet and the width is 4 feet, the length must be greater than 3 feet.

Step-by-step explanation:

<u>Part A</u>

  • Area of rectangle = width x length

We are told that the width = 4 ft

Let x = length

Therefore, area = 4x

The area needs to be more than 12 ft² but less than 24 ft²

Therefore, 12 < 4x < 24

<u>Part B</u>

12 < 4x < 24

Divide everything by 4:  3 < x < 6

So the length x needs to be bigger than 3 ft but smaller than 6 ft

<u>Part C</u>

Because the area must be more than 12 square feet and the width is 4 feet, the length must be greater than 3 feet.

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4. Miguel is helping his mom paint his home. He finished 2 rooms in ⅓ of an hour. How many rooms can he paint in 1 hour?
lilavasa [31]

Answer: 6

Step-by-step explanation:

Let's use a rule of three here.

2 rooms in 1/3 h

x rooms in 1 h

\frac{2}{x}=\frac{\frac{1}{3} }{1}

Solve for x;

x=\frac{2*1}{\frac{1}{3} }

Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.

1/3 inverted is 3/1 or 3

x=(2*1)*3

x=(2)*3\\x=6

8 0
3 years ago
What is the common ratio for the sequence 5,-10,20,-40?
algol [13]

Answer:

The COMMON RATIO of the sequence is -2.

Step-by-step explanation:

Here, the given sequence  is:

5, -10, 20 ,-40

Here, The first term ( a 1 ) of the sequence is (5)

The second term (a 2) of the sequence is (-10)

Third term of sequence (a 3) is 20

Now, calculating the common ratio (r) of sequence ,we get:

\frac{a_2}{a_1} =  r  = (\frac{-10}{5}) = -2\\\frac{a_3}{a_2} =r  = (\frac{20}{-10}) = -2

So, here r =(-2)

⇒ The COMMON RATIO of the sequence is -2.

Hence, the given sequence in in GEOMETRIC PROGRESSION.

8 0
3 years ago
the perimeter of a rectangle is 20 centimeters. the length is 6 centimeters. what the area of the rectangle?​
Musya8 [376]

Answer:

120

Step-by-step explanation:

all you have to do is twenty times six

6 0
3 years ago
Read 2 more answers
Given that (-6,5) is on graph of f(x) find the corresponding point for the function f(x)-4
saveliy_v [14]

The new graph will go down 4 point so y coordinate will go down 4. (-6,5) becomes ( -6, 1)

7 0
3 years ago
Read 2 more answers
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equa
aleksley [76]

Answer: 0.5467

Step-by-step explanation:

We assume that the test scores for adults are normally distributed with

Mean : \mu=100

Standard deviation : \sigma=20

Sample size : = 50

Let x be the random variable that represents the IQ test scores for adults.

Z-score : z=\dfrac{x-\mu}{\sigma}

For x =85

z=\dfrac{85-100}{20}\approx-0.75

For x =115                                                                                                                                            

z=\dfrac{115-100}{20}\approx0.75

By using standard normal distribution table , the probability the mean of the sample is between 95 and 105 :-

P(85

Hence, the probability that a randomly selected adult has an IQ between 85 and 115 =0.5467

7 0
3 years ago
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