Answer:
3
Step-by-step explanation:
24+12 = 36
8+4 = 12
36 = _ x 12
_ is 3 since 3x12 = 36
Answer:
41° and 49°
Step-by-step explanation:
Given:
Angle 1 and angle 2 are complementary angles.
The measures of angle 1 is 8 more than the measure of angle 2.
Question asked:
Determine the measures of angle 1 and 2.
Solution:
Let ∠1 = 
Then ∠2 =
(given)
As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,
∠1 + ∠2 = 90°
°
°
Subtracting both sides by 8,
°
°
Dividing both sides by 2,
°
∠1 =
°
∠2 = 
∠2 =
= 49°
Therefore, the measures of angle 1 and 2 are 41° and 49°
Answer:
unsolvable because the second equation is just -2.5 times the first equation.
Step-by-step explanation:
2x-6y=12 then 2x=12+6y x=6+3y
-5x+15y=-30
substitute x
-5(6+3y)+15y=-30
-30-15y+15y=-30
y=y
Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
She can make up to 22 bags because you have to add 2.40 and 3.25 together to get 5.65 then divide by .25 to get 22.6 she can make a total of 22 with .6 left over