Answer:
-3
Step-by-step explanation:
Given:
Let baked beans be x
Let brown sugar be y
Let biscuits be z
5x + 4y + 2z = 150 - 26
5x + 4y + 2z = 124
a can of baked beens costs half as much as a packet of biscuits:
x = 1/2 * z = z/2
a packet of sugar is 3.00 cheaper than a packet of biscuits
y = z - 3
We substitute x and y with its values:
5x + 4y + 2z = 124 ; x = z/2 ; y = z-3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 272/17
z = 16 price of a packet of biscuits.
can of baked beans : x = z/2 ; x = 16/2 = 8
packet of sugar : y = z - 3 ; y = 16 - 3 = 13
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
Answer:
The equation is a function
Step-by-step explanation:
-3x + 8 = y
Reverse the function.
y = -3x + 8
Draw a graph of y vs x (below)
To determine if the relation is a function, we can use the vertical line test:
If a vertical line crosses the graph more than once in any location, the relation is not a function.
We see that at no place will a vertical line intersect the graph more than once.
The relation is a function.
Answer:
b = 8/3
b = 2 2/3
Step-by-step explanation:
3/4 b =2
Multiply each side by 4/3 to isolate b
4/3 * 3/4 b = 4/3*2
b = 8/3
b = 2 2/3
You did not include the choices. However, I answered one that just included them. I've included the possible answers below and then the correct answers.
<span>A multiple of Equation 1.
B. The sum of Equation 1 and Equation 2
C. An equation that replaces only the coefficient of x with the sum of the coefficients of x in Equation 1 and Equation 2.
D. An equation that replaces only the coefficient of y with the sum of the coefficients of y in Equation 1 and Equation 2.
E. The sum of a multiple of Equation 1 and Equation 2.
</span>A, B and E.
Adding and multiplying the terms allow them to keep working. However, you must make sure that each variable is changed each time. Not just one as in C and D.