The answer is 70 miles.
If we express distances as following:
T - total distance
a - distance from <span>San Antonio to Austin
b - </span>distance from <span>Austin to Waco
c - </span>distance from <span>Waco to Dallas
Then:
T = 280 mi
b = a - 30 mi </span>⇒ a = b + 30<span>
b = c + 20 mi </span>⇒ c = b - 20<span>
T = a + b + c
</span>⇒ a + b + c = 280
⇒ b + 30 + b + b - 20 = 280
⇒ 3b +10 = 280
⇒ 3b = 280 - 10
⇒ 3b = 270
⇒ b = 90 mi.
Distance from <span>Waco to Dallas is c.
</span><span>c = b - 20
</span>⇒ c = 90 - 20
⇒ c = 70 mi
Therefore, distance from <span>Waco to Dallas is 70 miles.</span>
Answer:
Step-by-step explanation:
First put the lower limit, i.e., x=0,
F(x)=8cos[2(0)]=8cos(0)=8(1)=8
;cos(0)=1
Now,put the upper limit of given interval, i.e., x = π,
F(x)=8cos[2(π)]=8cos(2π)=8(1)=8
;cos(2π)=1
Step-by-step explanation:
x= (70+83+90)/3= 81
85=(89+75+y)/3
255=89+75+y
y=91
92=(86+a+a)/3
276=86+2a
2a=190
a=95
93=(b+b+b)/3
279=3b
b=93
Set variables for the quantities we want to find. Let x = number of applesLet y = number of oranges Next, we use these variables to write equations that describes the whole story. Since the total price is $7.75 and each type of fruit has their own price, we can say 0.40x + 0.35y = 7.55 The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.
