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vodomira [7]
3 years ago
10

Use compatible numbers to estimate the quotient 252÷3

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer:

The value of the given expression is 84.

Step-by-step explanation:

The given expression is

\frac{252}{3}

The number 252 can be written as 240+12, because 24 can easily divisible by 3.

The compatible numbers are 240 and 12

\frac{252}{3}=\frac{240+12}{3}

\frac{252}{3}=\frac{240}{3}+\frac{12}{3}

\frac{252}{3}=80+4

\frac{252}{3}=84

Therefore the value of the given expression is 84.

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If 5 dozen roses can be purchased for $62.50, how much will 8 dozen cost?
lesya692 [45]

Source: Net

Let x represent the cost of a dozen roses. 5 dozen roses can be purchased for $62.50 . Consider the following equation. 5x = $62.50. Here the product and factor are known, thus divide by the factor on both sides of the equation.

5x   $62.50

--  =     --

5     $12.50

Now to find out the cost of 8 dozens multiply the value of x by 8.

8x=8 ($12.50) = $100

Answer would be $100.

5 0
3 years ago
Read 2 more answers
Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s powe
vovangra [49]

Answer:

1.3\cdot 10^3\text{ J}

Step-by-step explanation:

Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:

W=Fd, where F = force applied and d = distance that force is applied over.

*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.

In this case, the force applied must counter the force of gravity on Martha, which is given by F_g=mg, where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, F_g=75\cdot 9.8=735\text{ N}. Since she raises her body 4.0 meters, the work done must be W=Fd=735\cdot 4=2940\text{ J}.

Since power is equal to work over time and t = 2.3 seconds, we have:

\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}} (to two significant figures)

7 0
2 years ago
A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
vova2212 [387]

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0
3 years ago
(your answer should be written as the sum and/or difference of the fractions, including the values of a, b, and
Sergio [31]
F(n)=f(n+1)=f(n+1)-5 because in the formula you are subtractinng
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3 years ago
Can you guys give a Ratio problem for my class?
dalvyx [7]

Answer:

no

Step-by-step explanation:

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