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Sav [38]
3 years ago
5

A huge bag of garlic bulbs weighs 294 lbs divided by 1/6th of its weight. How much does the bag of garlic weigh?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

42lbs

Step-by-step explanation:

1/6th of 42 is 7

now since the bulb weighs 294, we didvide by 7

so 294/ 7 is 42

hope this helped :D

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In a city the population is increasing exponentially at a rate of 1.6% per year.
SCORPION-xisa [38]

Answer:

37.36%

Step-by-step explanation:

Each year it increases 1.6%.

So year 1 it increases (1+1.6%), year 2 increases (1+1.6%)^2 and so on...

so after 20 years, overall increase is found by 1.016^20 = 1.3736 or increase of 37.36%

please give thanks :)

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2 years ago
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Write the rule for the linear function. Remember a function rule is written using f(x)
Marina CMI [18]

Answer:

The rule for the linear function will be:

f(x) = -2x+5

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

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Given the function is linear

Taking two points from the table to determine the slope

  • (1, 3)
  • (2, 1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)

m=\frac{1-3}{2-1}

m=-2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

y-y_1=m\left(x-x_1\right)

y - 3 = -2 (x-1)

y-3 = -2x+2

adding 3 to both sides

y-3+3 = -2x+2+3

y = -2x+5

or

f(x) = -2x+5

Therefore, the rule for the linear function will be:

f(x) = -2x+5

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Softa [21]
180^o-112^o=68^o

\left\{\begin{array}{ccc}2x+3y=68&|\cdot(-15)\\30x+11y=112\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-30x-45y=-1020\\30x+11y=112\end{array}\right}\\.\ \ \ \ \ \ \ -34y=-908\ \ \ |:(-34)\\\\.\ \ \ \ \ \ \ \ \ \ \  y=\dfrac{908}{34}\to y=\dfrac{454}{17}\\\\2x+3\cdot\dfrac{454}{17}=68\ \ \ \ |\cdot17\\\\34x+1362=1156\ \ \ \ |-1362\\34x=-206\ \ \ \ |:34\\\\x=-\dfrac{206}{34}\to x=-\dfrac{103}{17}\\\\  \left\{\begin{array}{ccc}x=-\dfrac{103}{17}\\\\y=\dfrac{454}{17}\end{array}\right
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