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faust18 [17]
3 years ago
9

Solve the proportion. Show your work. 3/(x + 1) = 5/11

Mathematics
2 answers:
9966 [12]3 years ago
7 0
3/(x +1) = 5/11
(x + 1)/3 = 11/5
x + 1 = 33/5
x = 33/5 - 1
x = 28/5 = 5 3/5
Lemur [1.5K]3 years ago
7 0

Answer: x=5\frac{3}{5}

Step-by-step explanation:

The given proportion : \frac{3}{(x+1)}=\frac{5}{11}\\\\\text{Multiplying both sides by 11 (x+1), we get}

\frac{3}{(x+1)}\times11(x+1)=\frac{5}{11}\times11(x+1)\\\\\Rightarrow\ 33=5(x+1)\\\\\Rightarrow\ 33=5x+5\\\\\text{Subtract 5 on both sides, we get}\\\\\Rightarrow\ 5x=33-5\\\\\Rightarrow\ 5x=28\text{Dividing 5 on both sides, we get}\\\\\Rightarrow x=\frac{28}{5}\\\\\text{In mixed fraction}\\\\ x=5\frac{3}{5}

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coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

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Therefore, the distance hiked up the canyon is

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8 0
3 years ago
PLEASE HELP ASAPPP !! Instructions: State what additional information is required in order to know that the triangles are congru
Svetllana [295]
<h3>Answer: angle T = angle W</h3>

Explanation:

We are given the sides are congruent due to the tickmarks. Specifically

TU = WV (single tickmarks)

TV = WX (double tickmarks)

So we just need the "A" of "SAS". The A is between the two S letters, so the angle is between the two sides. For triangle TUV, the angle T is between the two sides with the tickmarks. Similarly, angle W is between the tickmarked sides of triangle WVX.

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3 years ago
11. Find the product of (3x+5) with (2x - 3) in simplest form.
STatiana [176]

Answer:

(3x + 5)(2x - 3) = 6x² + x - 15

Step-by-step explanation:

To find the product of two binomials, we could use the FOIL method.

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Inner (Inside)

Last

(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15

So the product of the two binomials would be 6x² + x - 15.

I hope you find my answer and explanation to be helpful. Happy studying.

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