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MAVERICK [17]
3 years ago
7

Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in

feet
Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

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Is 8 on of the answer choices?
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3 years ago
AKI-OLA publication annual income of 258,ooo
Svetradugi [14.3K]

Answer:

(a) 19%

(b) 5:6

Step-by-step explanation:

Given: Gh 258,000

salaries Gh 49,020

training Gh 72,000

housing Gh 60,000

entertainment Gh 12,000

exigencies Gh 23,020

(a) Percentage of the income spent on salaries = \frac{amount of salaries}{total income} x 100

                           = \frac{49020}{258000} x 100

                           = 0.19 x 100%

                           = 19%

The percentage of the income spent on salaries is 19%.

(b) Ratio of amount for housing to amount for training = \frac{amount for housing}{amount for training}

                                = \frac{60000}{72000}

                                = \frac{5}{6}

The ratio of the amount for housing to the amount for training is 5:6

4 0
3 years ago
A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five box that has a
Savatey [412]

Answer:

The weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

Step-by-step explanation:

Given:

A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five small boxes  that has a total weight of 71 kilograms and a delivery of six large boxes and two small boxes has a total weight of 92 kilograms.

Now, to find the weight of each type of box.

Let the weight of large box be x.

And let the weight of small box be y.

<u><em>A delivery of three large boxes and five small boxes has a total weight of 71 kilograms:</em></u>

3x+5y=71\ \ \ .....(1)

<u><em>And, the delivery of six large boxes and two small boxes has a total weight of 92 kilograms:</em></u>

6x+2y=92\\\\Subtracting\ both\ sides\ by\ 6x:\\\\2y=92-6x\\\\Dividing\ both\ sides \ by\ 2\ we\ get:\\\\y=46-3x\ \ \ \ ......(2)

Now, substituting the value of y from equation (2) in equation (1):

3x+5y=71\\\\3x+5(46-3x)=71\\\\

3x+230-15x=71\\\\230-12x=71\\\\

<em>Subtracting 230 on both sides we get:</em>

<em />-12x=-159<em />

<em>Dividing both sides by -12 we get:</em>

x=13.25.

<u>The weight of large box = 13.25 kilograms.</u>

Now, substituting the value of x in equation (1) we get:

3x+5y=71\\\\3(13.25)+5y=71\\\\39.75+5y=71\\\\Subtracting\ both\ sides by\ 39.75\ we\ get:\\\\5y=31.25\\\\Dividing\ both\ sides\ by\ 5\ we\ get:\\\\y=6.25.

<u>The weight of small box = 6.25 kilograms.</u>

Therefore, the weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

3 0
3 years ago
What is the perimeter of triangle LMN
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Lmn has sides measuring 7 m and 6 m and a perimeter of 16 m.
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        -24x + 7x + 9x - 6 + 27 = 4
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                                        -8x = -17
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