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krek1111 [17]
3 years ago
15

Given the system of inequalities below: -3x - y < 12 and 2x + 3y ≥ 9

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0
Y>3x+12
y(less than or equal to)-2/3x+9
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What is 1/2 of 2 3/4?
luda_lava [24]

Answer:

1 3/8

Step-by-step explanation:

First, change the mixed fraction to improper fraction.

2 3/4 = 8/4 + 3/4 = 11/4

1/2 of 11/4 = (11/4)(1/2) = 11/8

11/4 - 11/8 = 22/8 - 11/8 = 11/8

11/8, or 1 3/8 is your answer.

~

5 0
3 years ago
Which ordered pair is the solution to the system of equations?
kozerog [31]
The answer and process is shown in the following picture

8 0
2 years ago
What is the value of x? B 75° Enter your answer in the box. X=​
Karolina [17]

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

8 0
3 years ago
7. Jason wants to walk the shortest distance to get from the parking lot to the beach
Assoli18 [71]
There are 3 right triangles.
                         Long leg          short leg           hypotenuse
Large                  ?                          ?                       32+18 = 50 m
Medium            32 m                     x                          ?
Small                   x                         18 m                    ?

Similar triangles: small & medium

short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24

                       Long leg          short leg           hypotenuse
Large                  ? → 40 m          ?                       32+18 = 50 m
Medium            32 m                     24 m                 ? → 40 m
Small                24 m                     18 m                  ? → 30 m

solve hypotenuse of medium and small using Pythagorean theorem.

32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c

24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c

Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse

32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters

B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
</span>
7 0
3 years ago
Of 100 staff member of school 48 drank coffee 25 drank both tea and coffee and every one drinks either coffee or tea . How staff
aivan3 [116]

Answer:

27

Step-by-step explanation:

Number of member of staff that drank tee = total number of member of staff - number that drank coffee - number that drank both tea and coffee

100 - 48 - 25 = 27 members of staff

7 0
3 years ago
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