Answer:
8 and a half hours
Step-by-step explanation:
Time arthur went to bed = 9:30 pm
Time arthur woke up = 6 am
Hours arthur was asleep = 24 - (9 and half + 6)
= 24 - 15 and a half
= 8 and a half
Answer:
195
Step-by-step explanation:
If there are x boys, then there are x+26 girls. Hence, we write the equation,
x+(x+26)=364
Solve for x:
2x+26=364
2x-338
x=169
So there are 169+26 =195 girls
The formula for the area of a rectangle is A = bh.
Substitute 216.24 for A (area) and 15.9 for h (height).
A = bh
216.24 = b(15.9)
÷ 15.9 ÷ 15.9 Divide 15.9 on both sides.
13.6 = b
So, the base of the rectangle is 13.6 cm.
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
