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3 years ago

Can someone please help me find x.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

We have similar triangles
Hence 6x+2=x+3
5x=1
x=1/5

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Two are used to fill the swimming pool.Pipe A alone fill the tank in 4 hours and pipe B fill the tank in 4 hours.If both pipe s

MrMuchimi

Answer:

The pipe A will fill the pool in 2.25 hours and the pipe B will fill the pool in 1.75 hours.

Step-by-step explanation:

Pipe A alone can fill the pool in 4 hours.

So, in 1 hour it fills $\frac{1}{4}$ part of the pool.

and in 30 minutea it fills $\frac{1}{8}$ part of the pool.

If the pipe B is opened after 30 minutes the pipe A opened.

So, $(1-\frac{1}{8} ) =\frac{7}{8}$ part of the pool is filled by both the pipe.

Again, pipe B alone fills the pool in 4 hours.

Hence, if both the pipes are open then they will fill in one hour $(\frac{1}{4} +\frac{1}{4}) =\frac{1}{2}$ part of the pool.

So, the remaining $\frac{7}{8}$ part of the pool will be filled by both the pipe in $\frac{\frac{7}{8} }{\frac{1}{2} } =\frac{7}{4}$ hours i.e. 1.75 hours.

Therefore pipe A will fill the pool in (0.5 + 1.75) =2.25 hours and pipe B will fill the pool in 1.75 hours. (Answer)

6 0

3 years ago

11 Select the expression equivalent to

Annette [7]

Answer:

Step-by-step explanation:

evry step is in the picture

4 0

3 years ago

suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?

viktelen [127]

Answer:

$\boxed {\boxed {\sf \$9,534.37}}$

Step-by-step explanation:

The formula for continuously compounded is:

$A=Pe^{rt}$

where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.

The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.

1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015

Now we know all the values and can substitute them into the formula.

$P= 7500 \\r= 0.015 \\t= 16$

$A= 7500(e^{0.015*16})$

Solve the multiplication in the exponent first.

$A= 7500(e^{24})$

Solve the exponent.

$A= 7500 (1.27124915)$

$A=9534.368627$

Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.

$A=9534.37$

The account balance will be <u>$9,534.37</u> after 16 years.

7 0

3 years ago

CAN SOMEONE PLZ DO QUESTIONS 1-4 PLZ

zlopas [31]

Answer:

40 answer

Step-by-step explanation:

amil amil amil

8 0

3 years ago

Math Help. Greatly Appreciated

Triss [41]

So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.
$w = (x + x + 100) = 1260$
from there we need to combine like terms
$x + x = 2x$
now we have
$2x + 100 = 1260$
From there, we will need to remove 100 from both sides, leaving us with
$2x = 1160$
now we'll need to divide both sides by 2
$2x \div 2x = x$
$1160 \div 2 = 580$
We now know that the width is 580, or more simply put, x=580.

Finding the length will be the easy part, as we know that it is just 100 more than the width
$580 + 100 = 680$
If you want an easier way of finding the length, just subtract the width from the perimeter.
$1260 - 580 = 680$
Leaving the final answer to be
Width = 580
Length = 680

3 0

3 years ago