Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:

After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:


4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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1) (f + g)(2) = 7 + 3 = 10 The answer is C
2) (f - g)(4) = 11 - 15 = -4 The answer is A
3) f(1) = 2(1) + 3 = 5 g(1) = 1² - 1 = 0 The answer is D
4) (f xg ) (1) = 7/3 The answer is B
To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward
2) solve the inequality for y:
given: -2x + 5y > 15
transpose-2x: 5y > 15 + 2x
divide by 5: y > 3 + (2/5)x
3) Graph-
draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because
the solution does not include the points in the line.
- the solution is the
region above and to the left of the dotted line.
4) See the
figure attached for better visualization: the pink region is the solution of the inequality.
Answer:
The value of x = 18
Step-by-step explanation:
Given the data set

- Given that the median of the data is 18.
- We know that the median is the middle number in a data set when the data points are in ascending order.
As the given data is already in ascending order.
- Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.
As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
34 = -2t....divide both sides by -2
(-34/2) = (-2/-2)t
- 17 = 1t, or just t
so ur answer is : t = -17