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Burka [1]
2 years ago
12

Which graph represents the solution set of the system of inequalities? {y<23xy≥−x+2

Mathematics
2 answers:
Nonamiya [84]2 years ago
3 0
It would kind of help if there was a graph that we could choose to help you
irina1246 [14]2 years ago
3 0

Answer:

Do you mean y<2/3x,  y≥−x+2

it would be the second one on top

were the dash will be on top and solid would be below

they will met by 1x

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The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr
antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

5 0
2 years ago
Your flight from New York City, USA to Frankfurt Germany was $ 324.50.
GrogVix [38]
Sorry i need pointsss so 15 is your answer and i can leave
4 0
2 years ago
a triangle has a base that is 3 times longer than its height. it has a area of 486 sq cm. what is the base and height
saw5 [17]
B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle

486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root

The height is 18 cm.
The base is 3*18 = 54 cm.
6 0
2 years ago
Which of the following is likely to have the greatest variability? *
noname [10]

Answer:

G

Step-by-step explanation:

4 0
2 years ago
Two groups of students were asked how many hours they spent reading each day. The table below shows the numbers for each group:
marta [7]

Solution:

Data represented as number of hours spent in studying by Group A Students:

 1,2,1,1,3,3,2,2,3

Arranging it in ascending order: 1,1,1 ,2, 2, 2, 3, 3, 3,

As number of terms is odd, The median will be middle value of observation.Which is 2.

The Data arranged in ascending order are , (1,1,1,2),2(2,3,3,3).

Median of (1,1,1,2) = Q_{1}=1

Median of (2,3,3,3)=Q_{3}=3

D_{1}=Interquartile Range =Q_{3}-Q_{1}=3-1=2

For Data Set 2,

The Data for group B students are:  3   2 3 2 2 2 1 1 2

Arranging in ascending order: 1,1,2,2,2,2,2,3,3

total number of observation = 9

Median = 2

Arranging the data as : (1,1,2,2) 2,(2,2,3,3)

Median of (1,1,2,2)= Number of observation is 4 which is even , so Median=Q_{1} =  \frac{1+2}{2}=\frac{3}{2}

Median of (2,2,3,3)=Q_{3}= \frac{3+2}{2}=\frac{5}{2}

S=Interquartile Range = Q_{3}-Q_{1}=\frac{5}{2}-\frac{3}{2}=1

D_{1}= S + 1

Interquartile range for Group A Students =Interquartile range for Group B students + 1

Option (D) The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

8 0
3 years ago
Read 2 more answers
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