Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins
finding lcm which is 12. 2/3 + 1/4=8+3/12
=11/12
-2 | 8-x| - 6 = -12...add 6 to both sides
-2 |8-x| = -12 + 6
-2 |8-x| = - 6...divide both sides by -2
|8-x| = -6/-2
|8-x| = 3
8 - x = -3 -(8 - x) = -3
-x = -3-8 -8 + x = -3
-x = -11 x = -3 + 8
x = 11 x = 5
not correct.....sign error
Answer:
One- half
Step-by-step explanation:
Since the density is uniform
Mass of the sphere = [(4/3) π r^3] d
where d is the uniform density.
Mass of the sphere = [(4/3) π d] r^3 = k r^3
where k = [(4/3) π d] is a constant
Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r
Using Gauss’ law for gravitation,
Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,
Inside his weight is mg’ = (G m k r) /2 = mg/2
Answer is one-half.
1-First let’s list the numbers between 210 to 220, except the even ones since they’re a multiple of 2:
211; 213; 215; 217; 219
Let’s remove 213, and 219 because they’re multiples of 3 (2+1+3=6; 2+1+9=12), 215 is multiple of 5, so let’s remove it.
That leave’s is with 211, and 217.
We can remove 217, because it’s a multiple of 7, leaving us with 211.
2- It’s deductive reasoning, because you started with a more general idea.
3- {-7, -6, -5, -4, -3, -2, -1, 0, 1}
4- {x e R, x>=-2}
5-{-1, 0, 1}
6- {x∣-4≤ x ≤6}
7- [-20, ♾ )
8- On a number line, make a circle around -1, and continue the line to minus infinity.
9- On a number line, make a circle on -3, and continue to minus infinity. Make a ring on 0, and continue to infinity.
