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kondaur [170]
3 years ago
14

9 430 000 000 000 km in standard form

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
9.43 x 10^12 is the answer
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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
Here's the question: You have an electrical circuit with various components, all of which are in series. The current (I) through
vredina [299]

Answer:Magnitude of voltage is 41.9963 volts


Step-by-step explanation:

Given that current I =5.772-5.323i mA

          and impedance, Z=3.342+4.176i kilo ohms

Then voltage in the circuit = IZ

                                            =(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}

                                      V=(5.772-5.323i)X(3.342+4.176i)

                                      V=19.290024+24.103872i-17.789466i-23..5148848i^{2}

                                     V=41.518892+6.314406i

Magnitude of V = \sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts


7 0
3 years ago
Melissa works after school babysitting. she markes $18 an hour. write an equation that represents the relationship between the i
Fiesta28 [93]
Pay = $18 times the amount of hours she works
<span>p = 18h</span>
5 0
3 years ago
the perimeter of the quadrilateral is 49 centimeters. find the length of each side. x+9 , x^2-2x , x+4 , 3x-4
shtirl [24]
X= 5 or -8

Add all the like terms and set it equal to 49, use quadratic formula or factoring. 
3 0
3 years ago
The bigger of two numbers is four more
Otrada [13]

Answer:

X=the smaller

y=the larger

The bigger of two numbers is four more than the smaller, then:

y=x+4

one more than twice the smaller is the same as the larger, then

1+2x=y

We have the following system of equations:

y=x+4

y=2x+1

We solve this system by equal values method:

x+4=2x+1

x-2x=1-4

-x=-3

x=3

We find the value of "y"now:

y=x+4

y=3+4

y=7

the values of x and y are:

x=3

y=7

Step-by-step explanation:

7 0
3 years ago
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