math and science. during winter months, freshwater fish sense the water getting colder and swim to the bottoms of lakes and rivers to find warmer water. if a fish swims 7_8 of the depth of a 32-foot deep lake, how many feet down did the fish swim?
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Then you would divide 32/8. Which would give you 4. Then multiply by 4. So you would then have 28/32. So your answer would be 28 feet. Sorry this wasn't more technically explained.
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9 divide by 45 equals 5
9 +7=16
4×6=24
9×9=81
13-5=8
16-8=8
8×5=40
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0.4 (2x + 1/2) = 3(0.2x-2) - 4
Then, you have to use the distributive property.
0.8x + 0.2 = 0.6x - 6 - 4
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x + 0.2 = -10
0.2x + 0.2 = -10
0.2x = -0.2 - 10
0.2x = -10.2
x = -10.2/0.2
x = -51
Does that make sense?
0.4(2x +
(0.4 × 2x) + (0.4 ×
0.8x + 0.2 = 0.6x - 6 - 4
Join the like terms:
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x = -10 - 0.2
0.2x = -10.2
Divide by 0.2 to isolate x
0.2 and 0.2 cancels out
x = -51
10 - 3 x 2/1+1
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The simplified form of 10 - 3 x 2/1+1 is 5. This is obtained by applying the order of operations in mathematics, which first executes multiplication and division from left to right then does addition and subtraction from left to right.
To simplify the expression 10 - 3 x 2/1 + 1 using the Order of Operations (PEMDAS/BODMAS), we follow these steps:
1. Parentheses/Brackets (None): There are no parentheses in the expression.
2. Exponents/Orders (None): There are no exponents.
3. Multiplication and Division (Left to Right): Multiply 3 by 2, which equals 6.
4. Addition and Subtraction (Left to Right): Now, perform the remaining operations from left to right: 10 - 6 + 1.
Now, solve the expression step by step:
1. 10 - 6 = 4
2. 4 + 1 = 5
So, the final answer is 5.
The given expression, 10 - 3 x 2/1 + 1, is simplified using the Order of Operations (PEMDAS/BODMAS). First, we perform multiplication and division from left to right. We multiply 3 by 2, resulting in 6. Then, we move on to addition and subtraction. Subtracting 6 from 10 gives us 4. Finally, we add 1 to 4, resulting in the final answer, which is 5.
The Order of Operations is crucial in mathematics to ensure that expressions are evaluated consistently and correctly. It helps us avoid ambiguity and ensures that mathematical operations are carried out in the correct sequence. In this case, following the order of operations leads us to the correct simplified answer of 5.
Learn more about Order of Operations here:
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Answer: the answer is 5
Step-by-step explanation:
first you would multiply 3 x 2 = 6. then you would divide 6 by 1 and get 6. You then take 10-6+1 and it equals 5.
Meg wants to take tennis lessons. In the chart, four instructors are listed with what they charge. Which instructor gives the best deal? Mark $100 for 10 hours Rick $80 for 9 hours Steve $75 for 8 hours Andy $60 for 5 hours
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Mark wants $100 for 10 hrs., or $10/hr.
Rick wants $80 for 9 hrs., or
Steve wants $75 for 8 hrs., or $
Finally, Andy wants $60 for 5 hrs., or $12/hr.
We can see that Rick offers the best deal, at $8.89/hr.
Mark charges $10.hour. Rick charges $8.89.hour. Steve charges $9.38/hour. Andy charges $12/hour. The best deal is to take tennis lessons from Rick.
So Rick would be the choice
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We would need two coordinates from the table to fill in the data. Let's use (0, 23) and (1, 20).
Then we can solve for the y-intercept using the slope-intercept form: y = mx + b.