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Nataly [62]
2 years ago
10

Y ≤ x x + y ≥ 1 shaded area

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0

';57-':!_&6₹;;5_₹6:5₹'*3✓©•

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How can you create inequalities in one variable and use them to solve problems?
Scrat [10]
Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.

Example:
   I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?

Solution:
  Let p represent the price per square yard of carpet. The problem statement tells me
   (1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
   p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
   p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
3 0
4 years ago
marlee spins a spinner and rolls 1-6 # cube. the spinner has 5 equal parts # 1-5 . what is the probability she will spin an even
forsale [732]
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by: 

P_t = P_{cube} \times P_{spin}

For the cube, 1/2 the numbers meet our requitment of being even, so:
P_{cube} = \frac{Desired}{Total} = \frac{even}{total} = \frac{3}{6} =\frac{1}{2}

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
P_{spin} =\frac{Desired}{Total} = \frac{odd}{total} = \frac{3}{5}

and then:
P_T = P_{cube} \times P_{spin}
P_T =\frac{1}{2} \times \frac{3}{5}
P_T =\frac{3}{10}

6 0
4 years ago
A garden is in the shape of a rectangle 85m by 50m
Xelga [282]

Answer:

2890 sq. meters

Step-by-step explanation:

The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.

Hope this helped! :)

7 0
4 years ago
Read 2 more answers
Find x.<br> Do not round your answer.<br> 8 cm<br> 4 cm<br> X<br> x =<br> = [ ? ] cm
Maru [420]

Answer:x=12cm

Step-by-step explanation:

PA ×PB=PT^2

4×(4+x)=(8)^2

16+4x=64

4x=64-16

4x=48

x=12cm

8 0
3 years ago
Translate the following statement: "Your grade, g, must be at least<br> 75 to pass this class."
LUCKY_DIMON [66]

Answer:

"Your grade, g, must be at least  75 to pass this class'' is translated as:

  • g ≥︎ 75

Step-by-step explanation:

Given the grade is denoted by 'g'.

In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.

As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.

Therefore, "Your grade, g, must be at least  75 to pass this class'' is translated as:

  • g ≥︎ 75
4 0
3 years ago
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