Answer:
Step-by-step explanation:
x-7y = -49
i) move x to the right-hand side and change its sign
-7y = -49-x
ii) change the signs on both sides of the equation
7y = 49+x
iii) divide both sides of the equation by 7
iv) use the commutative property to reorder the terms
* commutative property: a+b = b+a
Answer:
I'm not 100% sure but I think it's $6.20
Step-by-step explanation:
First you add up the apples which equals $1.80 then you add up the bananas which equals $1.00 then you add the yogurt together which amounts to $4.50. After that you add all of that together which totals to $7.30.
For the sake of finding the percentage we're gonna move the decimal point to the very end. ( so its 730.0). Now in order to find 15% we have to find 10%. To find 10%, you move the decimal point over one (73.00). So 10% of 730 is 73. 10% + 5% = 15%. And half of 10% is 5%. So, we cut 73 in half so now we have 36.5. Now we add 36.5 to 73 (because 10% + 5%=15%) I'm just gonna round 36.5 to 37, and 73+37= 110. Now we move the decimal point back so its $1.10. Now we subtract $1.10 from $7.30 which is equal to $6.20. So your answer is $6.20.
(I'm rlly bad at explaining things so sorry if this wasnt clear enough. Also I'm not the best at math but I guess I know percentages.)
The additive inverse of a number a is the number that's added to yields zero
Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
