Answer:
4k + 20 = 54 is the required equation. ( k = cost of each salad)
The cost of each salad is $8.5.
Step-by-step explanation:
The total amount paid for bill = $54
The tip left each time $5
Number of times the restaurant visited = 4
Now, let k be the total amount of one salad.
Also, total tip paid in 4 visits = 4 x $5 = 20$
So, now according to the question
4k + $20 = $54
or, 4k = 54 - 20 = 34
⇒ 4k = 34
or, k = 34/4 = 8.5
⇒ k= $8.5
So, the cost of each salad is $8.5.
Answer: there are 50 humans and 24 horses.
Step-by-step explanation:
Let x represent the number of humans in the horse racing area.
Let y represent the number of horses in the horse racing area.
He counted 74 heads. A human has one head and a horse also has one head. It means that
x + y = 74
He counted 196 legs. A human has 2 legs and a horse has 4 legs. It means that
2x + 4y = 196 - - - - - - - -- - -1
Substituting x = 74 - y into equation 1, it becomes
2(74 - y) + 4y = 196
148 - 2y + 4y = 196
- 2y + 4y = 196 - 148
2y = 48
y = 48/2 = 24
x = 74 - y = 74 - 24
x = 50
Q + d = 63....q = 63 - d
0.25q + 0.10d = 10.80
0.25(63 - d) + 0.10d = 10.80
15.75 - 0.25d + 0.10d = 10.80
-0.25d + 0.10d = 10.80 - 15.75
-0.15d = -4.95
d = -4.95/-0.15
d = 33 <=== 33 dimes
q + d = 63
q + 33 = 63
q = 63 - 33
q = 30 <=== 30 quarters
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
Plug in the numbers.
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
V = 120 in^3
