Let Hannah = X and Heather = Y.
The sum of their ages is 30, so you would have x + y = 30
Then Hannah's age is 4 less than 2 times Heather's age so X = 2y-4
The equations are :
X + Y = 30 and X = 2y - 4
The answer is C.
SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.
prove = How much the peanut is used to make 10 pound of 45%
peanut.
TO PROOF - Assume that
let x be the value of the peanut used by sara from the bag
60% peanut bag.
let ( 10 - x) be the value of peanut used by sara from 28% peanut
bag.
as given the bag become of the 10 pound which contain
45% of peanunt.
thus we have
0.60x + 0.28 ( 10 - x ) = 0.45 (10)
0.60x + 0.28 ( 10 -x ) = 4.5
0.60x + 2.8 - 0.28 x = 4.5
0.60x - 0.28x = 4.5 - 2.8
0.32x = 1.7
x = 5.3125 peanut is taken from the 60% bag.
& 4.6875 peanut from the 28% bag.
Answer:
Pants cost $20 and tee-shirts $10.
Step-by-step explanation:
For Sam 3t + 2p = 70
For Jessica 4t + p = 60
Take 2 times Jessica's equation and subtract Sam's
8t + 2p = 120
3t + 2p = 70
5t = 50
t = 10
3(10) + 2p = 70
30 + 2p = 70
2p = 40
p = 20
Answer:
The argument is valid by the law of syllogism.
Step-by-step explanation:
Syllogisms work exactly like the example in this exercise: they structure is the following
- Every time
holds, then 
holds as well - is given
- Then must hold.
So, you're told that whenever a triangle has an obtuse angle, it is called an obtuse triangle.
Then, you're told that triangle ABC has an obtuse angle.
Then, triangle ABC is an obtuse triangle.
You would first divide 28 by 7.
28 / 7 = 4.
Now multiply 4 by 5.
4 X 5 = 20.
Therefore, Leon read 20 pages.
