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AleksAgata [21]
3 years ago
11

Translate each verbal description into an algebraic expression. Then simplify

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

(1/3)q  - (4/3) p - 5/9

Step-by-step explanation:

Step one

Write the fractional form of the givens

(1/3)(q + p)

(5/9)(3p + 1)

Step Two

Write out the expression

(1/3)(q + p) - (5/9)(3p + 1)          Remove the brackets

(1/3)q  + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms

(1/3)q  + (1/3 - 15/9 )p - 5/9       Reduce 15/9 down to 5/3

(1/3)q  + (1/3 - 5/3)p - 5/9         Combine what is inside the brackets

(1/3)q  + ( - 4/3)p - 5/9              Bring out the minus sign

(1/3)q  - (4/3) p - 5/9                 This should be your answer.


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3 years ago
Find the equation of the line (-2,5) and (4,5)​
pishuonlain [190]

Answer:

y =5

Step-by-step explanation:

Since the y value does not change we know it is a line in the form of  y =

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y =5

4 0
3 years ago
Read 2 more answers
In the figure, what is the area of the shaded region?
Hatshy [7]
Use Pythagoras theorem
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5 0
3 years ago
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jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t
True [87]

9514 1404 393

Answer:

  3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

  y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

  y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0
3 years ago
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