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3 years ago

14

Jenny wants to estimate the distance across a river. She made this diagram using some measurements she was able to make directly

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1 answer:

Nata [24]3 years ago

3 0

Jenny wants to estimate

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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how man

Yanka [14]

Answer: 144 minutes

Step-by-step explanation:

Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.

Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.

Therefore,

1/x + 3/x = 1/36

4/x = 1/36

x = 36 × 4

x = 144

The number of minutes taken by the slower pipe will be 144 minutes.

5 0

3 years ago

Which expression is equivalent to StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Supersc

MAVERICK [17]

Answer:

$\displaystyle \frac{5x}{8y^{4}}\sqrt{x}$

Step-by-step explanation:

<u>Simplfy in Algebra </u>

We have the following expression

$\displaystyle E=\sqrt{\frac{25x^9y^3}{64x^6y^{11}}}$

Simplifying like factors in the denominator and numerator

$\displaystyle E=\sqrt{\frac{25x^3}{64y^{8}}}$

All the factors are perfect squares except $x^3$ , thus we rewrite:

$\displaystyle E=\sqrt{\frac{25xx^2}{64y^{8}}}$

Taking the square root of all the perfect square factors:

$\boxed{\displaystyle E=\frac{5x}{8y^{4}}\sqrt{x}}$

5 0

3 years ago

Read 2 more answers

A bag contains:

lana [24]

Answer:

35 is the answer

Step-by-step explanation:

5+6+3+4+2=20

3+4=7

7/20=x/100

20·5=100

7·7=35

35/100

6 0

3 years ago

1. Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular

belka [17]

Surface area define or calculate the exact space that each face of the said shape is taken up while the volume is how much space is inside the said object. The area use the unit that is squared because it only measured 2 face in the shape while the volume measures 3 faces in the object. an example of an area is a card board area, while the volume is the glass of water.

5 0

4 years ago

The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec

igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 $m^{2}$

From there

x * (2x - 4) = 70

$2x^{2}$ - 4x = 70

$2x^{2}$ - 4x - 70 = 0

$x^{2}$ - 2x - 35 = 0

Now we have a quadratic equation, which is a $x^{2}$ + bx + c = 0, where a $\neq$ 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = $-2^{2}$ - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are $\frac{- b - \sqrt{D} }{2a}$ and $\frac{- b + \sqrt{D} }{2a}$

$x_{1}$ = $\frac{- (-2) - \sqrt{144} }{2}$ = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

$x_{2}$ = $\frac{- (-2) + \sqrt{144} }{2}$ = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0

3 years ago