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sveticcg [70]
3 years ago
12

Eric is two years younger than 2 times his sisters age. Write a rule that represent Eric's age a as a function of his sisters ag

e s. How old is Eric is his sister is 11?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0
(11•2) - 2 = Eric's Age
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A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
3 years ago
An acute angle θ is in a right triangle with sin θ = six sevenths. What is the value of cot θ?
inysia [295]
\sin \theta =\dfrac{6}{7}\\
\cot \theta=\dfrac{x}{6}\\
x^2+6^2=7^2\\
x^2=49-36\\
x^2=13\\
x=\sqrt{13}\\
\boxed{\cot \theta =\dfrac{\sqrt{13}}{6}}
4 0
3 years ago
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Find the value of of x sin(4x+30)°=cos(-2x+54)°
user100 [1]

Answer:

fhxhfbccbbn

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ffuhhoh

6 0
2 years ago
3. If a snail moves
Mila [183]
Hi there!

We know that the snail lives 1 x 1/2 feet in 3 x 3/4 hours. First you have to simplify or solve the expressions. 1 x 1/2 is equal to 1/2 and 3 x 3/4 is 9/4 or 2.25 in decimal form.

You need to divide 2.25 by 1/2 or 0.5 which is 4.5.

So the snail moves 4.5 or 9/2 feet per hour.

Hope this helps !
5 0
3 years ago
Use the quadratic formula to solve for x 8x^2+7x+1=0 plz help
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Answer:

X= -7 ± √17 / 16

x= - 0.7798...

Step-by-step explanation:

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