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EleoNora [17]
3 years ago
9

Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the

system?
a. (0, 4)
b. (0, 8)
c. (4, 0)
d. (8, 0)
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

The correct answer is the first option.


If you want to use elimination, you can sum the two equations for example, so that the x's simplify:


(-2x+4y)+(2x+2y) = 16+8


6y = 24


y = 4


Plug this value for y in one of the equations to derive the value of x:


2x+2y=8 \implies 2x + 8 = 8 \implies x = 0


So, the solution is (x,y) = (0,4)

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If pencils sell at 6 for 59 cents how many pencils can be bought for 2.95
Olegator [25]
We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
                           = 9.83 cents
Now total amount in hand for buying pencils = $2.95
                                                                       = 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
                                                                                                   = 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.
4 0
3 years ago
Read 2 more answers
Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than
Verdich [7]

Answer:

44 mph

Step-by-step explanation:

Given that:

Before lunch :

Time taken = 2hrs ; at speed = x mph

After lunch :

Time taken = 3hrs ; at speed = x + 10 mph

Total distance covered = 250 miles :

Distance = speed * time

(2 * x) + (3 * (x + 10)) = 250

2x + 3x + 30 = 250

5x + 30 = 250

5x = 250 - 30

5x = 220

x = 220/ 5

x = 44 mph

Rate before lunch is 44mph

6 0
3 years ago
The sum of 2x+7 and −x+12 is equal to 14 what is x?
Alekssandra [29.7K]

Answer:-5


Step-by-step explanation:

2x+7-x+12=14

x+19=14

x=-5

                 


4 0
3 years ago
2. If the data in the table were displayed in a circle graph, which percent would NOT appear in the graph? Round to the nearest
german
Adding the numbers gives us a total of 65

Jan = 20/65 = 30.7% = 31%
Feb = 25/65 = 38.4% = 38%
Mar = 1/65 = 1.5% = 2%
Apr = 3/65 = 4.6% = 5%
May = 16/65 = 24.6% = 25%

I believe ur answer is 30%


6 0
3 years ago
A.Solve for x. Then, using that information, find the measure of
Vedmedyk [2.9K]

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

8 0
3 years ago
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