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3 years ago

An equation is shown below: −2(4x − 1) − 7 = 5 Which statement shows a correct next step in solving the equation?

1 answer:

6 0

B. The equation can become −2(4x − 1) = 12 by applying the addition property of equality because we have: <span>−2(4x − 1) − 7 = 5 / + 7 <=> -2(4x-1) = 12;</span>

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Is 656250 divisible by 10?

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Answer:

Yes 656250 is divisible by 10. Answer is 656250.

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Answer:

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a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is

OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

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2 years ago

Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s

netineya [11]

Answer:

The length of the loop is approximately 49.58 km.

Step-by-step explanation:

Given:

Time required to ride bicycle in loop = 2 hours and 30 mins

Now we know that;

60 mins = 1 hour

30 mins =0.5 hour

so 2 hour and 30 mins = $2+0.5 = 2.5\ hrs$

∴ Time required to ride bicycle in loop = 2.5 hrs

Let the speed at which she is riding the bicycle be 's'.

and let Total distance of the loop be 'd'

Now we know that;

Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.5s \ \ \ \ equation \ 1$

Now Given:

If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.

Hence we can say;

Speed = $s+1$

Also time will be reduce to 7 mins.

7 mins =0.12 hrs

Now time = 2.5-0.12 =2.38

Again Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.38(s+1) \ \ \ \ equation \ 2$

Now distance is same for both so we will calculate the speed by equating the equations.

$2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr$

Now Speed = 19.83 km/hr

Length of the loop (d) = $19.83\times 2.5 = 49.58 \ km$

Hence the length of the loop is approximately 49.58 km.

7 0

2 years ago