Answer:
Step-by-step explanation:
Solve 3y + 10.5 = 6.5 + 2.5y.
Add -2.5y to both sides so that the variable remains on one side only. Now isolate the variable by subtracting 10.5 from both sides. Multiply both sides by 10 so that 0.5y becomes 5y, then divide by 5. Check your solution by substituting -8 in for y in the original equation.
What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Answer:
Part A. 37.4p ≥ 170
Part B. p ≥ 5 (rounding to the next whole)
Renna needs to remove at least 5 packages from the elevator to meet the mass requirement.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mass limit for the elevator = 450 kg
Renna and her load of packages mass = 620 kg
Each package mass = 37.4 kg
2. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.
Number of packages * Each package mass ≥ Renna and her load of packages mass - Mass limit for the elevator
Replacing with the values and variables we know:
p * 37.4 ≥ 620 - 450
37.4p ≥ 170
3. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?
Solving for p in the equation above, we have:
37.4p ≥ 170
p ≥ 170/37.4
p ≥ 4.55
p ≥ 5 (rounding to the next whole)
Answer:
4+0.75(m-5) ≤ 10
Step-by-step explanation:
We start out with 4, since the car wash charges $4 for the first 5 minutes. We add to this the cost based on the minutes over 5 that he used the car wash.
Since m is the number of minutes, we first subtract 5 from this. This is because the first 5 minutes are included in the initial $4. Since each minute past 5 costs $0.75, we multiply m-5 by 0.75:
0.75(m-5)
Together this gives us
4+0.75(m-5)
He only has $10 to spend. This means he must spend less than or equal to $10; this gives us
4+0.75(m-5) ≤ 10
The sales tax on a $750 computer at J & M Computers is $48.75. What is the sales tax rate?
Answer:
6.5%
Step-by-step explanation:
(48.75/750)*100%
=6.5%
Answer:
The answer is 70
Step-by-step explanation:
Just add 40 and 30 and you'll get your answer
To find the value of y, set up an equation where y + (-30) = 40. Solve for y by isolating it on one side of the equation.
To solve this problem, we can set up an equation using the information given. Let's represent the unknown number, which is the sum of y and -30, as x. We can write the equation x = 40. To find the value of x, we'll need to isolate it by performing the opposite operation of adding -30, which is adding 30 to both sides of the equation. This gives us x + 30 = 70. Finally, subtracting 30 from both sides gives us x = 70.
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Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← divide by 20 on both sides
45 = n
Therefore, 9/20 is equal to 45 over 100 or 45%.
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Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.
The required, 9/20 as a decimal is 0.45, and as a percentage is 45%.
Decimals and percentages are both ways to express numbers that are less than or equal to 1. Decimals are a way to represent numbers using the base-10 numbering system. Percentages, on the other hand, are a way to express a portion of a whole as a fraction of 100.
To convert 9/20 to a decimal, divide the numerator (9) by the denominator (20).
9 ÷ 20 = 0.45
So, 9/20 as a decimal is 0.45.
To convert 0.45 to a percentage, multiply it by 100.
0.45 x 100 = 45
So, 9/20 as a percentage is 45%.
In summary, 9/20 as a decimal is 0.45, and as a percentage is 45%.
Learn more about percentages here:
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