Answer: 28 apples Step-by-step explanation: Let x----> the number of apples y ----> the number of oranges we know that x+y=42 ----> equation A x/y=4/2 ----> x=2y ----> equation B Solve the system of equations by substitution substitute equation B in equation A and solve for y 2y+y=42 3y=42 y=42/3=14 oranges Find the value of x x=2y ----> x=2(14)=28 apples
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B) obtuse triangle
Hope this helps!
Answer:
1/3n-3<6
Step-by-step explanation:
One third of a number: 1/3
3 is subtracted from 1/3 of a number n: 1/3n -3
Result is less than 6: less is represented with the symbol <. So, the result of the expression 1/3n-3 is less (<) than 6.
The final expression:
1/3n-3<6
Feel free to ask for more if needed or if you did not understand something.
9514 1404 393
Answer:
1000
Step-by-step explanation:
If the number of protesters per minute remains a constant, then you could write the proportion ...
p/12 = 177/2.1
Multiplying by 12 gives ...
p = 12(177/2.1) ≈ 1011.4
Here, minutes are given to 2 significant figures, and the initial count is given to 3 significant figures. The best you can hope for is that your estimate is good to 3 significant figures:
1010 protesters
It is probably sufficient to report the number to 2 significant figures*:
1000 protesters
_____
* Unfortunately, with a number like 1000, the only way you can tell it has 2 significant figures is to report it as 1.0×10³ or 10. hundreds. The trailing zeros are usually not considered significant.
The first number is x
The second number is y
So according to the given condition the sum of these two numbers is 84, so we can write
x+y=84 ————-(1)
Again one of them is more than 12 than the other that's why we can write,
x+12=y -------------(2)
Now putting the values of y in equation (1) we get,
x+x+12=84
=>2x+12=84
=>2x+12–12=84–12
=>2x=72
=>2x/2=72/2
=>x=36
Taking the value of x in equation(2) we get,
36+12=y
=>y=48
The two numbers are 48 and 36.
Check:
48+36=84
=>84=84
Also 48 =36+12; which is more than 12 of 36.