To get 76% of 75 you turn the fraction to a decimal, then multiply it to the number. 76% as a decimal us 0.76 and 0.76 * 75 = 57
So, Ciaran got 57 out of 75 questions right.
Answer:
Soda costs $1.15 and taco costs $0.95.
Step-by-step explanation:
x + y = 2.1
2x + 3y = 5.15
Multiply the first equation by -2 to eliminate x
-2x - 2y = -4.2
2x + 3y = 5.15
Add
y = 0.95
Find x with the original first equation
x + y = 2.1
x + 0.95 = 2.1
x = 2.1 - 0.95
x = 1.15
hope it helps :)
Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:
Here m is the gradient of the functions which is defined as:
The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,
Putting the value of slope in the equation
Putting (-1,-1) in the equation
The equation will be:
Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Answer:
348 out of 725
Step-by-step explanation:
This is a ratio question, giving us a sample that we can use to extend the number to all students.
12/25 students play a sport so we want the value of x in x/725
So:
12/25 = x/725
Cross-Multiply:
25x = 8700
Divide by 25 to get x:
348
You can also check by dividing these ratios to see if you get the same number. In this case, you do (.48).
Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.
y = kx
k = y / x
y = 45 ; x = 40
k = 45/40
k = 1.125
y = 1.125x
y will increase by 1.125 interval of x.
