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3 years ago

2 QUESTIONS FOR DOUBLE POINTS!! 20 POINTS!!

Mathematics

1 answer:

velikii [3]3 years ago

3 0

Answer: The unit price is $0.90 per kilogram

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What is the equation of a line parallel to y=1/2×+6 that passes through (-4,1)

IgorC [24]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-1=\cfrac{1}{2}(x+4)\implies y-1=\cfrac{1}{2}x+2\implies y=\cfrac{1}{2}x+3$

5 0

2 years ago

Put those in least to greatest 2.4072 , 2.4 , 2.807 , 2.87

Darina [25.2K]

2.4, 2.4072, 2.807, 2.87

8 0

3 years ago

Read 2 more answers

If you are riding a bike, you are having fun. If you are having fun, then time flies. Use the law of syllogism to draw a conclus

iren [92.7K]

The Correct answer is A. i hope this helps :)

7 0

3 years ago

Find the diagonal of the rectangular solid with the given measures part of the answer is provided for you

Svet_ta [14]

Answer: $\sqrt{59}$

Step-by-step explanation:

The diagonal of a rectangular prism can be found with $\sqrt{l^2+w^2+h^2}$

$l^2+w^2+h^2=59$ . Thus, the diagonal is $\sqrt{59}$

Hope it helps <3

3 0

4 years ago

What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.

Luba_88 [7]

The nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The number nearest to 10000 is exactly divisible by 3, 4, 5, 6, 7, and 8.

TO find the number:

Find the LCM of 3, 4, 5, 6, 7, and 8:

LCM = 760

= 10000/760

There are two possibilities:

= 10000 - 760 = 9240

or 10000 + (840 - 760) = 10080

The nearest number = 10080

Thus, the nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ4

3 0

2 years ago