bot are u ther can u jelp me?
Yes, I'm here to help you. What can I assist you with?
Of the cars in a used-car lot, 25 are the color gray. 13 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.
To find the fraction of cars that are both gray and electrically powered, we need to divide the number of gray and electric cars by the total number of cars on the lot.
The number of gray cars is 25, and the number of gray and electric cars is 13.
Therefore, the fraction of cars that are both gray and electrically powered is 13/25.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.
To find the fraction of cars that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of electrically powered cars among the gray cars.
The fraction of cars that are gray is 2/5, and the fraction of electrically powered cars among the gray cars is 1/3.
Therefore, the fraction of cars that are both gray and electrically powered is (2/5) * (1/3) = 2/15.
Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6 as deep. What is the elevation at the bottom of Lake Segundo? (Remember, the elevation is below sea level. Account for this in your answer.)
If Lake Profondo has a depth of 84 feet, and Lake Segundo is 5/6 as deep, we can find the depth of Lake Segundo by multiplying its depth by 5/6.
Depth of Lake Segundo = (5/6) * 84 feet = 70 feet.
The elevation at the bottom of Lake Segundo would be 70 feet below sea level.
Divide −72 by −4. Then divide the quotient by −9. What is the final quotient?
When dividing -72 by -4, we get a quotient of 18.
So, -72 divided by -4 equals 18.
Now, when we divide the quotient 18 by -9, we get a final quotient of -2.
Thus, the final quotient is -2.
What is the quotient of 100÷(−10)÷5?
Responses
−2
negative 2
−200
negative 200
2
2
−50
The correct quotient of 100 ÷ (-10) ÷ 5 is -2.
What is the quotient of 842.4 ÷ −0.6?(1 point)
Responses
−1,404
negative 1,404
1,404
1,404
−140.4
negative 140.4
−14.04
The quotient of 842.4 ÷ -0.6 is -1,404.
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
4 6/5
4 Start Fraction 6 over 5 End Fraction
465100
4 Start Fraction 65 over 100 End Fraction
465
Start Fraction 4 over 65 End Fraction
41320
To convert 4.65 to a fraction in simplest form, we can write it as 4 6/5 or 4 6/5.
Use long division to convert 2 7/16 to a decimal.(1 point)
Responses
0.4375
0.4375
2.4375
2.4375
2.716
2.716
2.2857
To convert 2 7/16 to a decimal using long division, we first convert the mixed number to an improper fraction:
2 7/16 = (2 * 16 + 7) / 16 = 39/16
Now, performing long division of 39 divided by 16, we get:
2.4375
Therefore, 2 7/16 as a decimal is 2.4375.
se long division to convert 6 7/15 to a decimal.(1 point)
Responses
≈6.14285
approximately equals 6.14285
≈0.46
approximately equals 0.46
6.715
6.715
≈6.47
To convert 6 7/15 to a decimal using long division, we first convert the mixed number to an improper fraction:
6 7/15 = (6 * 15 + 7) / 15 = 97/15
Now, performing long division of 97 divided by 15, we get:
6.46666...
As it is a repeating decimal pattern, we round it to 6.47.
Therefore, 6 7/15 as a decimal is approximately 6.47.
A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.(1 point)
The quotient that best represents the rate of change in the plane’s altitude is
feet/minute.
To find the rate of change in the plane's altitude, we divide the change in altitude (4,000 feet) by the time taken (3.5 minutes).
Therefore, the quotient representing the rate of change in the plane's altitude is 1142.86 feet/minute, rounded to the nearest hundredth.
So, the answer is approximately 1142.86 feet/minute.
A fire engine’s water tank holds 750 gallons of water. If the pump removes 250 gallons of water in 5 minutes, what is the change in the amount of water in gallons in 1 minute?(1 point)
Responses
−50
negative 50
50
50
15
15
−15
To find the change in the amount of water in gallons in 1 minute, we need to find the rate at which water is being removed.
In 5 minutes, the pump removes 250 gallons of water.
So, in 1 minute, the pump removes 250/5 = 50 gallons of water.
Therefore, the change in the amount of water in gallons in 1 minute is 50.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(75)×(−34)÷(715)
(1 point)
Responses
9
9
−14775
negative Start Fraction 147 over 75 End Fraction
−9
negative 9
14775
To solve (-4) × (75) × (-34) ÷ (715), we can follow the order of operations, which is parentheses, multiplication and division from left to right.
First, let's simplify the multiplication:
(-4) × (75) × (-34) ÷ (715) = -300 × (-34) ÷ (715)
Next, we continue with the multiplication:
-300 × (-34) ÷ (715) = 10,200 ÷ (715)
Finally, we perform the division:
10,200 ÷ (715) = 14.265
Therefore, the solution is approximately 14.265.
Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means.
The fish is initially at a depth of -10.8 meters and descends another 1.5 meters every 2 minutes. We want to find out how long it takes for the fish to reach a depth of -37.8 meters.
To find the number of times the fish will descend 1.5 meters, we calculate the difference between the initial depth and the target depth:
Difference in depth = (-37.8) - (-10.8) = -37.8 + 10.8 = -27 meters
Now, we divide the difference in depth by the rate of descent:
Number of descents = (-27) / (-1.5) ≈ 18
Since the fish descends 1.5 meters every 2 minutes, it takes 2 minutes for each descent. Therefore, 18 descents will take a total of 18 × 2 = 36 minutes.
In summary, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
Question
Francis is making a pizza. She plans to use 1 can of olives and 1 package of pepperoni. Assuming there are 20 olives in the can and 25 pepperonis in a package, write a ratio to represent the quantity of olives to pepperonis.
To represent the ratio of olives to pepperonis in this scenario, we will compare the quantity of olives to the quantity of pepperonis.
Given that there are 20 olives in one can and 25 pepperonis in one package, the ratio of olives to pepperonis can be written as:
20 olives : 25 pepperonis
This can also be simplified by dividing both numbers by 5:
4 olives : 5 pepperonis
Therefore, the ratio of olives to pepperonis is 4:5.
Give an example of an equivalent ratio to 75
An equivalent ratio to 75 can be:
15 : 20
This ratio is equivalent to 75 as both ratios can be simplified by dividing both numbers by 5:
15 divided by 5 = 3
20 divided by 5 = 4
So, 15:20 is an equivalent ratio to 75.
Give an example of an equivalent ratio to 7/5
An equivalent ratio to 7/5 can be:
14/10
This ratio is equivalent to 7/5 as both ratios can be simplified by dividing both the numerator and denominator by 2:
14 divided by 2 = 7
10 divided by 2 = 5
So, 14/10 is an equivalent ratio to 7/5.
Give an example of an equivalent ratio to 2:15.
An equivalent ratio to 2:15 can be:
4:30
This ratio is equivalent to 2:15 as both ratios can be simplified by dividing both numbers by 2:
2 divided by 2 = 1
15 divided by 2 = 7.5
So, 4:30 is an equivalent ratio to 2:15.
Ruben and Claire are training to run a marathon in the spring. Ruben runs 16 miles over a 4-day period. Claire runs 12 miles over a 3-day period. Are they running at the same rate of speed? Respond "1" for yes or "2" for no.(
To determine if Ruben and Claire are running at the same rate of speed, we need to compare the miles ran per day.
Ruben runs 16 miles over a 4-day period, which gives us an average of 16 miles / 4 days = 4 miles per day.
Claire runs 12 miles over a 3-day period, which gives us an average of 12 miles / 3 days = 4 miles per day.
Since both Ruben and Claire run an average of 4 miles per day, they are indeed running at the same rate of speed.
Therefore, the response is "1" for yes.
What is the ratio of 5:2 in fraction form?
The ratio 5:2 can be written in fraction form as 5/2.
Albie is comparing the ratio of students in her class that are wearing the color green to the total number of students in her class. She finds out of 30 students in her class, 7 are wearing green. What kind of ratio relationship is she using?(1 point)
Responses
whole relationship
whole relationship
part-to-part relationship
part-to-part relationship
part relationship
part relationship
part-to-whole relationship
part-to-whole relationship
Albie is using a part-to-whole relationship. She is comparing the ratio of students wearing green (part) to the total number of students in her class (whole).
Niko has a jar of candy containing strawberry, butterscotch, and root beer flavors. If there are 10 strawberry, 13 butterscotch, and 7 root beer candies, which ratio shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns?(1 point)
Responses
7:30
ratio of 7 to 30
10:30
ratio of 10 to 30
13:30
ratio of 13 to 30
10:13
The ratio that shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns is 10:30.
This ratio represents the 10 strawberry candies out of a total of 30 candies.