Mathematics, 20.10.2019 02:30 nae4561

Bethany can mow her family’s lawn in 4 hours. her brother colin can mow the lawn in 3 hours. which equation can be used to find x, the amount of time it would take for bethany and colin to mow the lawn together? .

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Answer from: ttrinityelyse17

The required equation is $\frac{1}{4}+\frac{1}{3}=\frac{1}{x}$

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.

Step-by-step explanation:

Given : Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours.

To find : Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Solution :

Let the whole lawn of the house be 1 unit.

Bethany can mow her family’s lawn in 4 hours.

i.e.The rate of Bethany is $\frac{1}{4}$ lawns per hour.

Her brother Colin can mow the lawn in 3 hours.

i.e.The rate of Colin is $\frac{1}{3}$ lawns per hour.

Together they work x hours.

i.e. The together rate is $\frac{1}{x}$ lawns per hour.

So, The equation form according to question is

$\frac{1}{4}+\frac{1}{3}=\frac{1}{x}$

Therefore, The required equation is $\frac{1}{4}+\frac{1}{3}=\frac{1}{x}$

Solving for x,

$\frac{3+4}{4\times 3}=\frac{1}{x}$

$\frac{7}{12}=\frac{1}{x}$

$x=\frac{12}{7}$

x=1.71

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

answer: i guess 105 degrees?

step-by-step explanation:

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