Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be h and that of pretzels be p.
So,
4h+3p = 13.75 ...(1)
and
2h+5p = 11.25 ...(2)
Multiply equation (2) by 2.
4h+10p = 22.5 ...(3)
Subtract equation (1) from (3).
4h+10p-(4h+3p) = 22.5-13.75
4h+10p-4h-3p = 8.75
7p = 8.75
y = 1.25
Put the value of y in equation (1).
4h+3(1.25) = 13.75
4h+3.75 = 13.75
4h = 13.75-3.75
4h = 10
h = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
Answer:
4a^2-6b^2+12
Step-by-step explanation:
(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)
distribute the negative sign to each term in the 2nd expression
a^2-2b^2+3-4b^2+5+3a^2+4
combine like terms
4a^2-6b^2+12
210 is 21 groups of ten. 240 is 24 tens
Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Answer:
B. 6 units
Step-by-step explanation:
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