Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
Answer:
Option B. The slope of VT is equal to the slope of ZX
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope VT
we have
V(-7,-3),T(-4,0)
substitute in the formula
step 2
Find the slope ZX
we have
Z(0,4),X(6,10)
substitute in the formula
therefore
The slope of VT is equal to the slope of ZX
Answer:
The slope of VT is equal to the slope of ZX.
Step-by-step explanation:
Two triangles are similar if the slopes of corresponding sides are equal.
In triangle TUV, TU is vertical, so the slope is undefined. The side UV is horizontal, so the slope is zero.
Determine the slope of the VT using the slope formula. Point V is at (-7, -3), and point T is at (-4, 0).
slope=y^2-y1/x^2-x1
=0-(-3)/-4-(-7)
=3/3
=1
In triangle XYZ, XY is vertical, so the slope is undefined. The side YZ is horizontal, so the slope is zero.
Determine the slope of the ZX using the slope formula. Point Z is at (0, 4), and point X is at (6, 10).
slope=y^2-y1/x^2-x1
=10-4/6-0
=6/6
=1
Compare the slopes of corresponding sides of the two triangles.
Sides TU and XY have undefined slopes.
Sides UV and YZ have zero slopes.
Sides VT and ZX have slopes of 1.
Therefore, the following statement is true.
The slope of VT is equal to the slope of ZX.
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Answer:
65 bottles in 1 hour.
Step-by-step explanation:
A factory processed 1,560 ounces of olive oil per hour.
The oil is packaged in to 24-ounce bottles.
We will divide total number of ounces processed by one packaged bottle.
The number of bottles filled in 1 hour =
= 65 bottles
The factory will filled 65 bottles in 1 hour.