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GuDViN [60]
3 years ago
13

Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

ide length of the square rug? Show your work.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0
10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100
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Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell
Tatiana [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Using the formula

The probability of getting odd number disk=\frac{4}{8}=\frac{1}{2}

The probability of getting odd numbered  red disk=\frac{3}{8}

The probability of selecting a red disk,given that an odd numbered disk is selected=\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}

Using conditional probability

P(A/B)=\frac{P(A\cap B)}{P(B)}

6 0
3 years ago
What are the solutions to the quadratic equation 5x2 + 60x = 0?
Reptile [31]

Answer:

It's A.

Step-by-step explanation:

5x2 + 60x = 0

5x is the GCF so:

5x(x + 12 ) = 0

5x = 0, x + 12 = 0

x =0, x = -12.

6 0
3 years ago
Read 2 more answers
A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow
Natasha_Volkova [10]

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

r = 46/t - 12

Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

r = 12 - 46/(t + 2)

Hence, equaling the values for r:

46/t - 12 = 12 - 46/(t + 2)

46/t + 46/(t + 2) = 24

\frac{46t + 92 + 46t}{t(t + 2)} = 24

92t + 92 = 24t² + 48t

24t² - 44t - 92 = 0

Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

#SPJ1

4 0
2 years ago
a submarine dives below the surface, heading downward in three moves.if each move downward was 325 feet, where is the submarine
Degger [83]
If one move is 325 and there's 3 moves you have to multiply them together to get 975 but since the submarine is going down its a negative integer so the answer would be -975
5 0
3 years ago
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Convert 120 degrees to radians in terms of pi.
shusha [124]
Radians = degrees * pi/180 therefore 
120 degrees * pi /180 = 2/3 pi

8 0
4 years ago
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