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Dominik [7]
3 years ago
14

1. x-1 / 6 =2 2. -3= k-5 / 16 Find x and k

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

x = 13

k = 43

Step-by-step explanation:

\frac{x-1}{6} = 2

Multiply both sides by 6

\frac{6}{1} × \frac{x-1}{6} = 2 × \frac{6}{1}

x - 1 = 12

Add one to each side

x = 13

-3 = \frac{k-5}{16}

Multiply both sides by 16

\frac{16}{1} × -3 = \frac{k-5}{16} × \frac{16}{1}

k - 5 = -48

Add 5 to each side

k = 43

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two similar triangular prisms have surface areas of 64cm2 and 144cm2(the 2 means square) respectively. a.find the ratio of their
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I hope this helps

4 0
3 years ago
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho
Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be=  x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

<u>Time taken by Samantha</u>

=\frac{80}{x}

<u>Time taken by Tamara</u>

=\frac{80}{4+x}

<u>Equation for difference in time</u>

=\frac{80}{x} -\frac{80}{4+x} =1

Solve the equation for difference in time to get value of x which is samantha speed

=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16

Samantha speed is 16 mph

6 0
3 years ago
Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres pe
dezoksy [38]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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