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SVETLANKA909090 [29]
3 years ago
14

How do I solve this?

20" id="TexFormula1" title=" \frac{3x}{8} - 1 = \frac{5}{8} " alt=" \frac{3x}{8} - 1 = \frac{5}{8} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

To solve this problem, we first have to combine the two fractions on the left side of the equation.  To do this, we must make a common denominator of 8.  Because 8/8 is equal to 1, we can substitute this value into the equation:

3x/8 - 8/8 = 5/8

Next, we can subtract the fractions on the left side of the equation to simplify.  Remember that if fractions have the same denominator, we simply subtract their numerators and keep the difference over the common denominator.

3x - 8/8 = 5/8

Since both sides of the equation have a denominator of 8, we can cancel out this denominator on both sides by multiplying both sides by 8.  This gives us:

3x - 8 = 5

Next, we should add 8 to both sides of the equation so that we can get all of the constants to the right side of the equation.

3x = 13

Finally, we should divide both sides by 3 to get the variable alone on the left side of the equation.

x = 13/3

Therefore, your answer is x = 13/3.

Hope this helps!

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A submarine at a depth of -2 2/3 feet descended 5 1/2 feet. How many feet must the submarine rise to reach the surface? Explain
vladimir2022 [97]

Original position of the submarine below the Surface = -2 2/3= -8/3

Submarine at a depth of -2 2/3 feet descended by 5 1/2 feet.

So new position of the Submarine = \frac{-8}{3}-\frac{11}{2}\\\\  = \frac {-16 - 33}{2}\\\\  = \frac{-49}{6}

To Reach the surface submarine must rise = 0-(-49/6)

As seen from the equation the two negative sign [(-)(-)] will change into a positive sign.

At the surface the position of the submarine = +49/6 feet

5 0
3 years ago
Lines m and p are parallel. If the slope of line m is 1/25 the <br> slope of line p?
soldi70 [24.7K]

Answer:

1/25

Step-by-step explanation:

<u><em>Parallel lines have equal slopes.</em></u>

So,

Slope of m = Slope of p = 1/25

3 0
3 years ago
Read 2 more answers
When should you use slope intercept form
makkiz [27]

Answer:

If given the slope and a point, use the point-slope form.

If given the slope and the y-intercept, use the slope-intercept form.

4 0
3 years ago
The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c
Bumek [7]
<h3>Answer:</h3>

\large\boxed{C).\,13.5\%}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

  • Probability of it being cloudy is 30%
  • Probability of it raining is 25% (this is necessarily not needed)
  • If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
6 0
3 years ago
A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were m
Naddik [55]
<span>1.       </span><span>Original ratio of the bike and scooter is equals to :
=> 3 : 4, where 3 is the bike and 4 is the scooter
=> 48 bikes
=> original order = 64 scooter
=> 64 / 4 = 16
however, bike is more popular than scooter, so they changed it into new ratio:
=> 5 : 2 , where 5 is equals to bikes and 2 is equals to scooter.
=> 5 x 16 = 80 bikes
=> 2 x 16 = 32 scooter.</span>



4 0
3 years ago
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