2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
Step-by-step explanation:
The constant of proportionality is the gradient of line which can be evaluated as follows;
Gradient = delta y / delta x
Gradient = (y2 – y 1) / (x2 – x1)
We shall pick two points on the line graph in (x,y) format;
(3. 6) and (1, 2)
We evaluate the gradient now be repalivn the points on the formula;
Gradient = (2 – 6) / 1 – 3
Gradient = - 4 / - 2
Gradeint = 2/1 = 2
= 2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
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Answer:
Step-by-step explanation:
1) Number of children = c
Number of adults = a
Total ticket = 250
c + a = 250 -------------------(I)
Cost of 'c' children tickets = 200c
Cost of 'a' adult tickets = 450a
Total cost = 76000
200c + 450a = 76000 ------------------(II)
Multiply (I) by (-200) and then add
(I)*(-200) -200c - 200a = -50000
(II) <u> 200c + 450a = 76000 </u>
<u> </u> 250a = 26000
a = 26000/250
a = 104
Plug in a = 104 in equation (1)
c + 104 = 250
c = 250 - 104
c = 146
2)Number of children = 146
Number of adults = 104
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Answer:
Step-by-step explanation:
let a=Ann's amt., b=Betty's amt.
a=2b+9
b+2b+9=60
3b+9-9=60-9
3b=51
b=$17
a=34+9=$43
