Answer:
x=7
y=18
The length of each of the two shorter sides is 14.
The length of each of the two longer sides is 19.
Step-by-step explanation:
2x+5 = x+12 and y-4 = x+5
Solve for x first
2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.
2x-x = x-x+7 Subtract x from both sides to eliminate it.
x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.
y-4 = (7)+5
y-4 = 12
y-4+4 = 12+4 Add 4 to both sides to eliminate it.
y = 18
Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.
(18)-4=14 The length of each of the two shorter sides is 14.
2(7)+5=19 The length of each of the two longer sides is 19.
Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
Answer:
Step-by-step explanation:
The z-score of Kimmie is -0.625
<h3>Calculating z-score</h3>
The formula for calculating the z-score is expressed as;
z = x-η/s
where
η is the mean
s is the standard deviation
x is the Kimmie score
Substitute the given parameter
z = 85.9-88.4/4.0
z = -2.5/4.0
z = -0.625
Hence the z-score of Kimmie is -0.625
Learn more on z-score here: brainly.com/question/25638875
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