Answer:
Step-by-step explanation:
This problem is similar to many others in which the sum of two quantities and their difference are given. The solution can be found easily when the equations for the relations are written in standard form.
<h3>Setup</h3>
Let s and h represent numbers of sodas and hot dogs sold, respectively. The given relations are ...
- s +h = 235 . . . . . combined total
- s -h = 59 . . . . . . difference in the quantities
<h3>Solution</h3>
Adding the two equations eliminates one variable.
(s +h) +(s -h) = (235) +(59)
2s = 294 . . . . simplify
s = 147 . . . . . .divide by 2
h = 147 -59 = 88 . . . . h is 59 less
147 sodas and 88 hot dogs were sold.
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<em>Additional comment</em>
The solution to a "sum and difference" problem is always the same. One of the numbers is half the sum of those given, and the other is half their difference. ((235-59)/2 = 88)
Answer:
The slope is -1
Y-intercept is (0, -6)
Equation is y = -1x - 6 or y = -x - 6 either is right
Step-by-step explanation:
We already know that the slope is negative because the line is pointed this way \ pointed up to the left.
You have to do rise/run to find the slope.
The rise is 6 and the run is 6
6/6 = 1 since the line is negative the slope is -1x or -x
The y intercept is -6
Use the point (-2, -4)
Plug in
-4 = -(-2) + b
-4 = 2 + b (subtract 2 on both sides)
-6 = b
y = -x - 6
Hope this helps ya!!
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
(Given)
(Given)
(Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[SAS congruence postulate]
Therefore, the correct option is B.
Answer:
8 kilometers
hope it helps
Step-by-step explanation:
6 liters = 48 kilometers
48 / 6 = 8
1 liter = 8 kilometers
Answer:
Step-by-step explanation:
