Answer:
Equation:
21 = 1 + m
Solution:
20 = m
Step-by-step explanation:
What we know:
- Karim drank 1 cup of milk at breakfast
- Karim drank a total of 21 cups of milk
- m = the amount of milk, in cups, Karim drank after breakfast
We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:
21 =
What does 21 equal?
The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.
21 = milk at breakfast + milk after breakfast
Let's substitute what we know into this equation:
21 = milk at breakfast + milk after breakfast
21 = 1 + m
Now that we have our equation, let's solve.
21 = 1 + m
-1 -1
20 = m
Therefore, Karim drank 20 cups of milk after breakfast.
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
(x - 6)(x + 4)
Step-by-step explanation:
x^2 -2x-24
-24 = -6 * 4
- 6 + 4 = -2
So
x^2 -2x-24 = (x - 6)(x + 4)
Answer:
D
Step-by-step explanation:
you reverse the numbers in the y spot, so if they are negative make them positive, vise versa
Answer:
$16
Step-by-step explanation:
1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.
2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.
3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.
$16 is made in 60 minutes (1 hour).
