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Over [174]
3 years ago
5

Wich is longer? A cabinet that is 3/4s foot or a shingle that is 2/3s foot? How much longer?

Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

The cabinet is longer by 1/12 foot.

Step-by-step explanation:

3/4 x 3/3 = 9/12

2/3 x 4/4 = 8/12

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Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
4x-35=9x<br><br>please help me i really need help
zhenek [66]
4x-35=9x
     -4x
-35=5x
divide by 5
x= -7
        
5 0
3 years ago
Read 2 more answers
$3000 is invested at 3% annual interest for 3 years.<br> a. Simple Interest b. Compound Interest
stich3 [128]

Answer:

a. $270

b. $3,278.18

Step-by-step explanation:

Given that

The principal amount is $3,000

Annual rate of interest is 3%

And, the time period is  3 years

We need to find out the simple interest & compound interest

The following formulas should be used

a. For simple interest

= Principal × rate of interest × time period

= $3,000 × 3% × 3 years

= $270

b. For compound interest

= Principal × (1 + rate of interest)^time period

= $3,000 × (1 + 0.03)3

= $3,000 × 1.03^3

= $3,278.18

8 0
3 years ago
Which is shortest 0.81m 1.08m 0.8m 180cm 18cm
UkoKoshka [18]
I belive its 18cm,,,,,,,,,,,,,,,,,,,,,,,,,,,,
5 0
3 years ago
What is the value of b?<br><br> ​0.4(3b+10)=19
Sergio039 [100]

Answer:

12.5

Step-by-step explanation:

Step 1:

0.4 ( 3b + 10 ) = 19     Equation

Step 2:

1.2b + 4 = 19       Multiply

Step 3:

1.2b = 15    Subtract 4 on both sides

Step 4:

15 ÷ 1.2    Divide

Answer:

b = 12.5

Hope This Helps :)

7 0
3 years ago
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