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ella [17]
3 years ago
7

If 5/12=1/a+1/b and ab=24, what is the value of a+b​

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

10

Step-by-step explanation:

\frac{5}{12}  =  \frac{1}{a}  +  \frac{1}{b}  \\  \\  \frac{5}{12}  =  \frac{b + a}{ab}..(by \: taking \: lcm)   \\  \\   \frac{5}{12}  =  \frac{a + b}{ab}   \\  \\ \frac{5}{12}  =  \frac{a + b}{24} ...( \because \: ab = 24)  \\  \\ a + b =  \frac{5 \times 24}{12}  \\  \\ a + b = 5 \times 2 \\  \\ \huge \red{ \boxed{ a + b = 10}}

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All the students in the six grade either purchase their lunch or brought their lunch from home on Monday 24% of the students pur
juin [17]
Percent of students brought their lunch from home is 100-24= 76%
So, total students are in the six grade is
190 x 100/76 = 250 students
7 0
3 years ago
write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)
AfilCa [17]

Answer:

The answer to your question is    y = 4/3x + 1/3

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2    y1 = 3

x2 = 5    y2 = 7

m = (y2 - y1)/(x2 - x1)

- Substitution

  m = (7 - 3)/(5 - 2)

- Slope

  m = 4/3

2.- Find the equation of the line

     y - y1 = m(x - x1)

     y - 3 = 4/3(x - 2)

     y - 3 = 4/3x - 8/3

     y = 4/3x - 8/3 + 3

     y = 4/3x - 8/3 + 9/3

     y = 4/3x + 1/3

8 0
3 years ago
A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by th
Marat540 [252]
<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x

y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.

Let us assume that the number of months of service is 10 months. then, the total cost would be:

y = 40 + 90(10)
y = 40 + 900
y = 940
5 0
3 years ago
NEED HELP ASAP.....At the 2012 Summer Olympic Games in London, in the Men's Shot Put qualifying round, the distances ranged from
jeka57 [31]

Answer:

About 6 athletes.

Step-by-step explanation:

We are concerned only with the percent of athletes that are above one standard deviation.

Between one standard deviation and two standard deviations, there is 13.6% of the athletes.

From 2 to 3, there is 2.1%. Above 3, there is 0.2%.

The sum of those percentages is 15.9% of 40 = 0.159 · 40 = 6.36 or about 6 athletes.

Hope this helps.

6 0
3 years ago
Solve and check: 5 - 6 = -3<br> k
xxTIMURxx [149]

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
3 0
3 years ago
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