Answer:
zero
Step-by-step explanation:
This flat horizontal line is Y=1 has a slope (rate of change) of zero.
Number x percent turned into decimal
39 x 0.666666666 = 26
The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system
![\begin{cases}g=2b+4\\g+b=61\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dg%3D2b%2B4%5C%5Cg%2Bb%3D61%5Cend%7Bcases%7D)
We can use the first equation to substitute in the second
![g+b=61 \iff (2b+4)+b=61 \iff 3b+4=61 \iff 3b=57 \iff b=19](https://tex.z-dn.net/?f=g%2Bb%3D61%20%5Ciff%20%282b%2B4%29%2Bb%3D61%20%5Ciff%203b%2B4%3D61%20%5Ciff%203b%3D57%20%5Ciff%20b%3D19)
And then solve for
:
![g=2b+4=2\cdot 19+4=38+4=42](https://tex.z-dn.net/?f=g%3D2b%2B4%3D2%5Ccdot%2019%2B4%3D38%2B4%3D42)
For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Answer:
C
Step-by-step explanation:
The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.
Givens
a = 3
b = ?
c = 25 feet
Formula
a^2 + b^2 = c^2
Solution
3^2 + b^2 = 25^2
9 + b^2 = 625 Subtract 9 from both sides.
b^2 = 625 - 9
b^2 = 616 Take the square root of both sides.
b = sqrt(616)
b = 24.8
Answer: the price for an adult ticket is $3
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one child ticket.
The Martinez family went to play and paid $13 for 1 adult and 4 children. This means that
x + 4y = 13 - - - - - - - - - - -1
The Hernandez family went to the same place and paid $14 for 3 adults and 2 children. This means that
3x + 2y = 14 - - - -- - - - - - - -2
Multiplying equation 1 by 3 and equation 3 by 1, it becomes
3x + 12y = 39
3x + 2y = 14
Subtracting, it becomes
10y = 25
y = 25/10 = 2.5
Substituting y = 2.5 into equation 1, it becomes
x + 4 × 2.5 = 13
x + 10 = 13
x = 13 - 10
x = 3