A food company reduced the amount of salt in one of their food products from 700 milligrams to 630 milligrams. What is the percent decrease in the amount of salt in this food product?
First, we need to calculate the difference between the original amount of salt and the new amount of salt:
700 - 630 = 70
Next, we need to calculate the percent decrease:
(70/700) x 100% = 10%
Therefore, the percent decrease in the amount of salt is 10%.
Two fair coins are flipped at the same time. What is the probability that both display tails?
There are four possible outcomes when flipping two coins:
1. Heads and Heads (HH)
2. Heads and Tails (HT)
3. Tails and Heads (TH)
4. Tails and Tails (TT)
Since the coins are fair, each outcome is equally likely. We want to find the probability that both coins display tails, which means we're interested in outcome #4.
Therefore, the probability of both coins displaying tails is 1 out of 4 possible outcomes, or:
1/4 = 0.25 = 25%
So, the probability of both coins displaying tails is 25%.
Between what two consecutive whole numbers does 95−−√ lie?
We know that 9^2 = 81 and 10^2 = 100. Taking the square root of both sides, we get that:
sqrt(81) = 9 and sqrt(100) = 10.
Since 95 is between 81 and 100, we know that its square root, 95^(1/2), must be between 9 and 10.
To get a more precise answer, we can use a calculator to find:
95^(1/2) = 9.74679434481
So, 95^(1/2) is between 9 and 10, specifically between 9 and 9.75. Therefore, we can say that:
95^(1/2) lies between 9 and 10
Question Number 5 of 5 - 8th Grade Math
A box contains 9 new light bulbs and 6 used light bulbs. Each light bulb is the same size and shape. Meredith will randomly select 2 light bulbs from the box without replacement. What is the probability Meredith will select a new light bulb and then a used light bulb?
Meredith has a total of 15 light bulbs in the box, and she will be selecting them without replacement.
The probability of selecting a new light bulb on the first draw is 9/15, since there are 9 new light bulbs out of a total of 15.
After selecting a new light bulb, there will be 8 new light bulbs and 6 used light bulbs left in the box for the second draw. The probability of selecting a used light bulb on the second draw is 6/14, since there are 6 used light bulbs remaining out of a total of 14.
Therefore, the probability of selecting a new light bulb and then a used light bulb is:
(9/15) x (6/14) = 0.2571 (rounded to four decimal places)
So, the probability that Meredith will select a new light bulb and then a used light bulb is approximately 0.2571 or 25.71%.
Roxanne's car used 4.8 gallons of gasoline to drive 124 miles. If Roxanne has 180 more miles to go, which is closest to the additional number of gallons of gasoline the car will use to complete the trip?
We can start by using the given information to determine Roxanne's car's fuel efficiency, which is measured in miles per gallon (mpg).
Fuel efficiency = miles driven / gallons of gasoline used
In this case, we have:
Fuel efficiency = 124 miles / 4.8 gallons = 25.83 mpg
This tells us that Roxanne's car can travel approximately 25.83 miles for every gallon of gasoline used.
To determine how many gallons of gasoline the car will need to cover an additional 180 miles, we can use the fuel efficiency formula again:
Gallons of gasoline needed = miles driven / fuel efficiency
Gallons of gasoline needed = 180 miles / 25.83 mpg = 6.97 gallons
Therefore, the additional number of gallons of gasoline the car will use to complete the trip is closest to 6.97 gallons. We can round this to 7 gallons.
To find the percent decrease, you need to calculate the difference between the initial value and the final value, and then divide it by the initial value. Finally, multiply the result by 100 to express it as a percentage.
Here's how to calculate the percent decrease in the amount of salt:
Step 1: Find the difference between the initial and final values.
Difference = Initial Value - Final Value
Difference = 700 mg - 630 mg
Difference = 70 mg
Step 2: Divide the difference by the initial value.
Percent Decrease = (Difference / Initial Value) * 100
Percent Decrease = (70 mg / 700 mg) * 100
Percent Decrease = 0.1 * 100
Percent Decrease = 10%
Therefore, the food company reduced the amount of salt in this food product by 10%.