30 * 0.30 = 9
30 + 9 = 39
30 increased by 30% = 39
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them
Answer: 67.2°
Step-by-step explanation:
To find angle C, we have to use cosine rule. Therefore,
12² = 8² + 10² - 2 × 8 × 10 × cosC
C = 82.8°
The bearing of A from C will be
= 150° - 82.8°
= 67.2°.
The slope is -1/4.
Assuming you know the rise over run method, at point (-8, -3) you go down once (-1) and to the right 4 (+4) to get to the next point on the line. When you convert it to a fraction, the slope is -1/4.
9514 1404 393
Answer:
48
Step-by-step explanation:
Let d represent the number of sweets Dora has to start with. Then 2d is the number Harini had. After they each ate 18, the ratio of their numbers is ...
(2d -18)/(d -18) = 5/1
2d -18 = 5(d -18) . . . . . multiply by d-18
72 = 3d . . . . . . . . . . subtract 2d-90
24 = d . . . . . . . . . divide by 3
2d = 48
Harini started with 48 sweets.