Answer:
the cat weighs 21 pounds.
the dog weighs 43 pounds
Step-by-step explanation:
dog = 3x-20 = x + 22
cat = x
3x-20 = x+22
3x = x+42 (add 20 to both sides)
2x = 42 (subtract x from both sides)
x = 21
The simplified form of the expression is 3
<h3>Simplifying an Expression</h3>
From the question, we are to simplify the given expression
The given expression is
53 -2(16/8 * 16-7)
Simplifying
Using BODMAS
53 -2(16/8 × 16-7)
53 -2(2 × 16-7)
53 -2(32-7)
53 -2(25)
53 -50
= 3
Hence, the simplified form of the expression is 3
Learn more on Simplifying an Expression here: brainly.com/question/3622770
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Answer:
<em>4.52secs</em>
Step-by-step explanation:
Given the height of a falling object expressed as;
d=3t+5t^2
If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;
84 = 3t+5t^2
3t+5t^2 - 84 = 0
t = -5±√25-4(3)(-84)/2(3)
t = -5±√25+1008/6
t = -5±32.14/6
t = -5+32.14/6
t = 27.14/6
<em>t = 4.52 secs</em>
<em>Hence it will take 4.52secs for the object to travel 84feet</em>
The single shift worked by Reem is 16 hours long.
Total earned = $320
First 8 hours (earning per hour) = $16
Additional hours = $24 per hour
Let the total number of hours worked = m
The Number of hours after 8 hours = m - 8
Representing the scenario with an equation :
(16 × 8) + (24 × (m - 8)) = 320
128 + 24m - 192 = 320
-64 + 24m = 320
24m = 320 + 64
24m = 384
Divide through by 24
m = 384 / 24
m = 16
Hence, the shift is 16 hours long.
Learn more : brainly.com/question/18109354
