What percent of 42 is 28

1 answer:

7 0

Let the % be "x"
Now according to the question,
x% of 42 = 28
(x / 100)*42 = 28
42x / 100 = 28
42x = 28 * 100
x = (28 * 100) / 42
x = 66.67 ..............................answer rounded to the nearest hundredth

So, 66.67% of 42 is 28

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3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

2 years ago

Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 or

Natalija [7]

(1) x+y+z=1300
(2) x+y=780 => x = 780 - y
(3) y+z=850 => z = 850 - y

Replace x and z with y in function (1)

780 - y + y + 850 - y = 1300
1630 - y = 1300
y = 330

Therefore, x = 780 - y = 780 - 330 = 450
z = 850 - y = 850 - 330 = 520

Dave can do 450 catalog orders per day
Frank can do 330 catalog orders per day
Kathy can do 520 catalog orders per day

3 0

2 years ago

A square lawn has area 242 ft squared. A sprinkler placed at the center of the lawn sprays water in a circular pattern as shown

Alborosie

Answer:

see below

Step-by-step explanation:

There is no picture attached, but assuming that the circle fits inside the square:

Area of square lawn = 242 ft²

Therefore, length of each side = $\sqrt{242}$ = $11\sqrt{2}$ ft