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icang [17]
3 years ago
14

Solve the system algebraically. Check your work.

Mathematics
1 answer:
Luden [163]3 years ago
8 0

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10     (1)

And 3x+2y=63x+2y=6      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30      (3)

15x+10y=3015x+10y=30      (4)

Now subtract  (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

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PLEASE HELP!!
hichkok12 [17]

Answer:

It would take the smaller pipe 28 minutes to fill up the truck.

Step-by-step explanation:

Since the larger pipe takes 84 minutes and is three times faster than the smaller pipe, you have to divide 84 by 3 to get 28. To check if this is correct you have to multiply 28 by 3 and you get 84. Showing that the larger pipe is three times faster.

7 0
3 years ago
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
cluponka [151]

Answer:

The answer is B. 1/3

Step-by-step explanation:

Hope this helps! :)

-------------------------------------

3 0
3 years ago
11z/16+7z/8=5/16 as a decimal
babunello [35]
11z/16+7z/8=5/16
(11z+14z)/16=5/16
25z=5
z=5/25=1/5
4 0
3 years ago
What is the area of the regular hexagon shown?
andreyandreev [35.5K]

Answer:

584.57

Step-by-step explanation:

5 0
3 years ago
Workers in an office of 60 staff were asked their favourite type of take-away.
nikdorinn [45]

Answer:

a = 84°

b = 36°

c = 24°

d = 84°

e = 132°

Step-by-step explanation:

The parameters of the workers in the office are;

The number of staffs in the office = 60 staffs

The take-aways are pizza, curry, fish & chips, kebab and other

The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

5 0
2 years ago
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