Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
Answer:
The area of the rectangle is 12 cm² (to two significant figures)
Step-by-step explanation:
To determine the area of a rectangle that is 2.1-cm wide by 5.6-cm long,
The area of a rectangle is given by
Area = l × w
where l is the length
and w is the width
From the question,
l = 5.6 cm
and w = 2.1 cm
Hence, Area of the given rectangle will be
Area = 5.6 cm × 2.1 cm
Area = 11.76 cm²
Now, we will convert the answer to two significant figures
Then,
Area = 12 cm²
Hence, the area of the rectangle is 12 cm² (to two significant figures)
2x+y>-4, 2*5-12=10-12= - 2, -2 > -4 (5, -12) matched, 2*0 + 1= 1> - 4, (0,1) matched, 2*-1 + (-1) = -3 > -4, (-1,-1) matched, the solutions are (5, -12) , (0,1) and (-1,-1), if the question is 2x+y>-4,
1. X = 4.5
2. X= 14 I’m not sure for 2 but number one is write
