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4 years ago

11

Elisabeth took 13 minutes less than twice as long as Heather to solve the puzzle. If their total time together was 23 minutes, w

ho took less time

1 answer:

Ad libitum [116K]4 years ago

4 0

Elisabeth would have took less time

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The perimeter of a rectangle is 52. The length is 2 more than 2 times the width. Find the width and length.

Arlecino [84]

Formula for the perimeter of a rectangle = 2(L + W).
let the width be x
length = 2 + 2x
substitute respectively
52 = 2(2 + 2x + x)
52 = 2 (2 + 3x)
52 = 4 + 6x
52 - 4 = 6x
48 = 6x
divide both sides by 6
48/6 = 6x/6
8 = x
width = 8
length = 2 + 2x = 2 + 2(8) = 2 + 16 = 18

4 0

4 years ago

What transformation can be used to transform figure ABCDEF to A"B"C"D"E"F

morpeh [17]

Answer:

ABCDEFG

Step-by-step explanation:

8 0

3 years ago

Hi I need to find DO length

MakcuM [25]

Answer:

10 cm

Step-by-step explanation:

If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.

However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:

DO / (DO + 20) = CO / (CO + 24)

Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.

Putting this into our proportion:

x / (x + 20) = (x + 2) / (x + 2 + 24)

x / (x + 20) = (x + 2) / (x + 26)

Cross multiply:

x (x + 26) = (x + 2) (x + 20)

Distribute:

x² + 26x = x² + 20x + 2x + 40

x² + 26x = x² + 22x + 40

4x = 40

x = 10

So the length of DO is 10 cm.

4 0

3 years ago

Which expression is equivalent to 2^3/2^-8

Mkey [24]

Answer:

$2^{11}$

Step-by-step explanation:

<u>Key indices rule: When dividing powers, subtract the indices and keep the base numbers constant.</u>

<u /> $\frac{2^{3} }{2^{-8} }$ Based on the rule above, the indices are determined by 3--8, which is 11.

The base number is kept constant.

Therefore, the answer is $2^{11}$ .

7 0

3 years ago

8,520 gallons of water begins to drain at a rate of 12 gallons per minute. Which equation can be used to find the number of minu

ale4655 [162]

Answer:

The time taken to drain water to be half full is 5 hours 55 min .

Step-by-step explanation:

Given as :

The total quantity of water pool = 8520 gallons

The rate of water drain = 12 gallons per min

The time taken to drain water to be half full = t min

<u>Now, According to question</u>

Time of water drain = $\dfrac{\textrm total quantity of water in pool}{\textrm rate of water drain}$

Or, time = $\dfrac{\textrm 8520 gallons}{\textrm 12 gallons per min}$

Or, time = 710 minutes

So, The time taken to full empty the pool = 710 minutes

Again, time taken to ran water to half full = $\dfrac{710}{2}$

Or, t = 355 minutes

So, time taken to drain water to be half full = t = 355 min = 5 hours 55 minutes

Hence, The time taken to drain water to be half full is 5 hours 55 min . Answer

5 0

4 years ago