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3 years ago

1

Mathematics

1 answer:

Sedbober [7]3 years ago

5 0

Answer:

2 10 8

Step-by-step explanation:

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At the organic produce store you can buy 3 bags of sweet potatoes for $20.07.

Aneli [31]

Answer:

$13.38

Step-by-step explanation:

Use proportions to solve this problem:

$20.07 / 3 bags = X / 2 bags

multiply both sides by "2 bags" to isolate the unknown X

$20.07 * 2 / 3 = X

Therefore, X = $13.38

8 0

2 years ago

2root3 sin^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ac9eec">[email protected]</a> - <a href

Phantasy [73]

Answer:

Step-by-step explanation:

$2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3}) } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}$

$\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)$

$or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )$

5 0

3 years ago

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

Vesna [10]

Answer:

$Cranberry:Apple:Orange = 7:5:8$

Step-by-step explanation:

Given

$Apple = 1/4$

$Orange = 2/5$

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

$Cranberry + Apple + Orange = 1$

Substitute values for Apple and Orange

$Cranberry + 1/4+ 2/5= 1$

Collect Like Terms

$Cranberry = 1- 1/4- 2/5$

Take LCM

$Cranberry = \frac{20 - 5 - 8}{20}$

$Cranberry = \frac{7}{20}$

The ratio is then represented as:

$Cranberry:Apple:Orange = 7/20:1/4:2/5$

Multiply through by 20

$Cranberry:Apple:Orange = 20(7/20:1/4:2/5)$

$Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5$

$Cranberry:Apple:Orange = 7:5:8$

8 0

2 years ago

0 A public beach in Arkansas charges non- residents $12 per day for a fishing license and $3.50 per day for live bait. Arkansas

vfiekz [6]

Non Residents:
f(x)= money in $ paid.
x=number of days.

f(x)=x(12+3.5)=15.5 x

f(x)=15.5x

Arkansas residents
f(x)=money in $ paid.
x=number of days.

f(X)=x+174

Now, we equate functions:

15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12

Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.

6 0

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 7 3 12 4 17

Mila [183]

Answer:

Step-by-step explanation:

(1, 2) (2, 7)

(7-2)/(2 - 1) = 5/1= 5

y - 2 = 5(x - 1)

y - 2 = 5x - 5

y = 5x - 3

7 0

3 years ago