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
We can use the first equation to substitute in the second
And then solve for :
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:
D
Step-by-step explanation:
Parallel lines have the same gradient.
A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.
If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.
AB= -1
Thus, option B is incorrect too.
Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.
We first find out the amount in dollars of interest accrued after 2 years time.
Interest = Prt
where P is the principal, r is the rate and t is time
8% written in decimal fraction → 8/100 → 0.08
Interest = 17000 × 8% × 2
Interest = 1700 × 0.08 × 2
Interest = 2,720 dollars
We add the principal and the interest to get full amount paid, so:
17000 + 2,720 = 19,720
I hope that you good day
2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5
Answer:
Yes. Suri and Juan can make the same amount of wages by working 25 hours in one week.
Step-by-step explanation:
Let each of them work x hours per week.
Suri makes $15 per hour, so in x hours Suri will make $ 15x. The total wages per week for Suri will be:
Total Wages = y = 15x + Bonus = 15x + 25
Juan makes $14 per hour, so in x hours Juan will make $ 14x. The total wages per week for Juan will be:
Total Wages = y = 14x + Bonus = 14x + 50
If they will make the same wages, their wages must be equal, i.e.
15x + 25 = 14x + 50
15x - 14x = 50 - 25
x = 25
This result shows us that if Suri and Juan work for 25 hours per week they will make the same amount of wages.
