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4 years ago

5/12−a+4/15=?−a If this equation has infinitely many solutions, what is the missing value?

Mathematics

1 answer:

Rom4ik [11]4 years ago

5 0

5/12 - a + 4/15
= 25/60 + 16 /60 - a
= 41/60 - a

The missing values is 41/60

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The TV repairman charges $40 to come out to your house and check the TV

sergeinik [125]

Answer:

The equation to find the cost of repairing a TV is:

y = 25x + 40

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope or rate of change and b is the y-intercept

Given that the TV chairman charges $40 to come out to your house and check the TV plus $25 per hour of labor.

It means $40 is the y-intercept because it represents the starting point/condition of the repairman.

Let 'x' be the number of hours and y be the cost.

The rate of change = 25$ per hour of labor

The rate of change can also be termed as the slope.

Thus, m = 25

Hence, the slope-intercept form of the line equation becomes

y = mx+b

substituting m = 25 and b=40

y = 25x + 40

Therefore, the equation to find the cost of repairing a TV is:

y = 25x + 40

Validation:

y = 25x + 40

putting x = 1 to determine the cost if labor works for 1 hour.

y = 25(1) + 40 = $65

putting x = 2 to determine the cost if labor works for 2 hours.

y = 25(2) + 40 = $95

4 0

3 years ago

There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and

AveGali [126]

Do 100-45 and you get 55. So it is 55 classrooms that are not Math and Science.

6 0

3 years ago

What is the answer for this diamond problem ?

ElenaW [278]

I’d say A , 3 and 6

6 0

3 years ago

In march 1989 the exxon valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of alaska. one barrel of

elena-14-01-66 [18.8K]

<span>240,000 barrels contain a total of:

240,000 barrels * 42 gal per barrel = 240,000*42 gal = 10,080,000 gal of petroleum.
------------------------------------------------------------------------------------------------
now we need to convert gallons to Liters. For this we use the conversion:

</span>1 US liquid gallon = 3.78541 Litre,

-------------------------------------------------------------------------------------------

thus 10,080,000 gal are 10,080,000*3.78541 Litre = 38,156,932.8 Litre

Answer: 38,156,932.8 Litre

7 0

4 years ago

svetlana [45]

Answer:

$\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }$

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

$\dfrac{135}{v-r}=3=\dfrac{183}{v+r}$

It means that

$135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}$

But we can as well use the second equation:

$3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}$

and then

$\boxed{v=\dfrac{159*8}{24}=53}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago