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zheka24 [161]
3 years ago
6

Please help me with this on the image

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

200 grams

Step-by-step explanation:

80 grams        x grams

-------------- = -------------

6 people        15 people

Using cross products

80 *15 = 6x

1200 = 6x

Divide by 6

1200/6 = 6x/6

200 =x

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This are a few of Rational numbers are not whole numbers: 8,−3,32,7−5.

Step-by-step explanation: Hope this helps

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3 years ago
2.37 / x = 1<br> What is x?
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Answer: 2.37

Step-by-step explanation:

Multiply each side by x to get  rid of the denominator on the left side.

You get:

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Also, any number divided by itself must be 1.  

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A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions o
mr_godi [17]

Given:

  • A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

\\

❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

\\

To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

\\

\:  \:  \:  \:  \:  \:  \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)}  = Length \times width }}}}} \\  \\

\\

\underline {\sf{Substituting  \: the \: values~ in~ above~formula: }} \\

\\

:  \implies \sf \:x \times (x - 5) = 126  \\  \\ \\ :  \implies \sf \:x^2 - 5x = 126  \\  \\ \\  :  \implies \sf \:x^2 - 5x - 126 = 0 \\  \\ \\ :  \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\  \\ \\ :  \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\  \\ \\  :  \implies \sf \:(x - 14)(x - 9) = 0 \\  \\ \\  :  \implies { \boxed { \purple{\pmb { \: x = 14 \:   \: or  \: \:  x = -9}}} } \\  \\  \\

  • We know that side can't be negative. So, x = 14 feet

Hence,

  • Width of rectangle = x - 5 = 9 feet
  • Length of rectangle = x = 14 feet

\\

\\ { \underline{ \pmb{ \frak{\therefore Dimensions \:  of  \: rectangle  \: are  \: 9~ feet \:  and  \: 14 ~feet \: }}}}

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