a. Let's start with "the sum of one-half and one-third." Sum tells us to add. This would translate to 1/2 + 1/3. Now, it's telling you to find 1/5 of that. So you multiply this by 1/5.
Your final expression is (1/5)(1/2 + 1/3)
b. "the sum of nine and twelve" is more obvious; 9 + 12. Now, multiply it by "two and one-half"
Your final expression is (2 1/2)(9 + 12)
c. "difference between 1 1/2 and 3/4." Difference tells us to use subtraction. 1 1/2 - 3/4. "twenty-four divided by" tells you that that part of the equation belongs in the denominator.
Your final expression is 24 / (1 1/2 - 3/4)
Answer: 30ft
Step-by-step explanation:
ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT
Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>
TS = QT
6x + 13 = 5y
6x - 5y = -13 <span><em>(second equation)</em>
</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2
Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5
Answer:
x = -2
y = -5
6 I’m pretty sure but not 100 sure
The distance between Jacksonville, FL and Tallahassee, FL would be about 160 miles apart.