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NikAS [45]
1 year ago
12

The question is in the screenshot below.

Mathematics
2 answers:
arlik [135]1 year ago
8 0

Answer:

37/12

Step-by-step explanation:

\frac{2}{3}  \div 2 + ( \frac{3}{4}  +  \frac{1}{6} ) \div  \frac{1}{3 }  \\  \frac{2}{3}  \div 2 \div  \frac{9+ 2}{12}  \div  \frac{1}{3 }  \\  \frac{2}{3}  \div 2 +  \frac{11}{12}  \div  \frac{1}{3}  \\  \frac{2}{3}  \div 2 +  \frac{11}{12}  \div  \frac{1}{3}  \\  \frac{1}{3}  +\frac{11}{4} \\  \frac{37}{12}

sergiy2304 [10]1 year ago
3 0

Answer:

2 19/24

Step-by-step explanation:

Simplify it in whatever whey they ask you to for the answer

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu
cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

Using zero-product property.........

x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0
3 years ago
If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of
Simora [160]
Hey there :)

We have two equations:
3a + 2b = 7 
2a + 2b = 9

We need to solve simultaneously to find the values of a and b

eq.1    3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1  ) multiply by -1 to cancel 2b

  3a + 2b = 7
- 2a - 2b = -9         ( Add both together )
-------------------
   a = - 2 

Substitute the value you found for a in a in order to find b

3( - 2 ) + 2b = 7                                                     2( - 2 ) + 2b = 9 
- 6 + 2b = 7                                    OR                  - 4 + 2b = 9
2b = 13                                                                   2b = 13        
b = \frac{13}{2}                                                                 b = \frac{13}{2} 

3 0
3 years ago
At a football game, 12 people are wearing red jerseys and 15 people are wearing white jerseys. Write the ratio of red to white j
Anastasy [175]

Answer:

12:15 (simplified: 4:5)

12/15 (simplified: 4/5)

12 to 15 (simplified: 4 to 5)

Hope this helped!

6 0
2 years ago
Read 2 more answers
Which statement is true about the parentheses in this expression? [24 − (15 + 2) + 3] − 9
marin [14]

Answer: 0

Step-by-step explanation:

[24 - (15 + 2) +3] -9

[24-(17) +3] -9

[7 +3] -9

9 - 9 = 0

8 0
3 years ago
If two cards are drawn without replacement from an ordinary​ deck, find the probability of and a being drawn.
Ivan

Answer:

4/52

Step-by-step explanation:

4 0
3 years ago
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