A person must have lived in the U.S. for _______ years before applying for naturalization (or _____ if married to a U.S. citizen).
A.
10; 5
B.
6; 3
C.
5; 3
A. 10; 5
Determine the sign of the product of −10.4×−78.2 . Enter + for positive or – for negative.(1 point)
The sign of the product of −10.4×−78.2 is + (positive).
Multiply 82×(−13).
82×(−13) = -1066
Multiply −116 by 7. Write the answer as a mixed number.(1 point)
The product of −116 and 7 is -812. As a mixed number, it would be -116/7.
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.(1 point)
To find the fraction of cars on the lot that are both gray and electrically powered, we need to divide the number of gray and electrically powered cars (13) by the total number of cars on the lot (25).
Fraction of gray and electrically powered cars = 13/25
Lake Profondo has a depth of 84 feet. Lake Segundo is 56 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.)(1 point)
To determine the elevation at the bottom of Lake Segundo, we need to consider that both lakes are below sea level. Since Lake Profondo has a depth of 84 feet below sea level, we can calculate the elevation at the bottom of Lake Segundo by subtracting its depth from the elevation at the bottom of Lake Profondo.
Elevation at the bottom of Lake Segundo = Elevation at the bottom of Lake Profondo - Depth of Lake Segundo
= (0 feet) - 56 feet
Since the elevation is below sea level, the elevation at the bottom of Lake Segundo is -56 feet.
Divide −72 by −4. Then divide the quotient by −9. What is the final quotient? (1 point)
To divide -72 by -4, we get a quotient of 18.
To divide the quotient (18) by -9, we get a final quotient of -2.
Therefore, the final quotient is -2.
What is the quotient of 100÷(−10)÷5?(1 point)
Responses
2
2
−50
negative 50
−2
negative 2
−200
To solve the expression 100 ÷ (-10) ÷ 5, we perform the division from left to right.
First, 100 ÷ (-10) = -10.
Then, -10 ÷ 5 = -2.
Therefore, the quotient of 100 ÷ (-10) ÷ 5 is -2.
What is the quotient of 842.4 ÷ −0.6?(1 point)
Responses
1,404
1,404
−14.04
negative 14.04
−1,404
negative 1,404
−140.4
To divide 842.4 by -0.6:
842.4 ÷ -0.6 = -1404
Therefore, the quotient of 842.4 ÷ -0.6 is -1404.
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
465100
4 Start Fraction 65 over 100 End Fraction
465
4 Start Fraction 6 over 5 End Fraction
41320
4 Start Fraction 13 over 20 End Fraction
465
To convert 4.65 to a fraction, we can write it as:
4.65 = 4 + 0.65
The 0.65 part can be represented as a fraction by dividing it by 1, since there are two decimal places:
0.65/1 = 65/100
Therefore, 4.65 can be written as a fraction in simplest form as:
4 \(\frac{65}{100}\)
Use long division to convert 2716 to a decimal.(1 point)
Responses
0.4375
0.4375
2.4375
2.4375
2.716
2.716
2.2857
Using long division, the result of dividing 2716 is 2.716.
Therefore, the decimal form of 2716, using long division, is 2.716.
Use long division to convert 6715 to a decimal.(1 point)
Responses
≈6.47
approximately equals 6.47
6.715
6.715
≈0.46
approximately equals 0.46
≈6.14285
Using long division, the result of dividing 6715 is approximately equals 6.47.
Therefore, the decimal form of 6715, using long division, is approximately equals 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 it takes for the adjustment (3.5 minutes).
Rate of change in altitude = (Change in altitude)/(Time for adjustment)
= 4000 feet / 3.5 minutes
Calculating the quotient, we get:
Rate of change in altitude ≈ 1142.86 feet/minute
Rounding to the nearest hundredth, the rate of change in the plane's altitude 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
−15
negative 15
−50
negative 50
15
15
50
To find the change in the amount of water in gallons in 1 minute, we need to divide the change in the amount of water (250 gallons) by the time it took for the pump to remove that amount of water (5 minutes).
Change in amount of water in 1 minute = Change in amount of water / Time
= 250 gallons / 5 minutes
Calculating the quotient, we get:
Change in amount of water in 1 minute = 50 gallons
Therefore, the change in the amount of water in 1 minute is 50 gallons.
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 the expression (-4)×(75)×(-34)÷(715), we follow the order of operations which states that we perform multiplication and division before addition and subtraction.
Start by multiplying the numbers:
(-4) × (75) × (-34) ÷ (715)
= -300 × (-34) ÷ 715
= 10200 ÷ 715
Then, perform the division:
10200 ÷ 715 ≈ 14.245
Therefore, the solution to the given expression is approximately 14.245.
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.(4 points)
To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine the number of times the fish descends 1.5 meters and then multiply it by 2 minutes to account for each descent.
First, calculate the difference between the final depth (-37.8 meters) and the initial depth (-10.8 meters):
Depth change = -37.8 meters - (-10.8 meters)
Depth change = -37.8 meters + 10.8 meters
Depth change = -27 meters
Next, divide the depth change by the descent rate of the fish:
Number of descents = Depth change / Descent rate
Number of descents = -27 meters / 1.5 meters
Now, calculate how many times the fish descends 1.5 meters:
Number of descents = -18
Finally, multiply the number of descents by 2 minutes to find the total time it will take for the fish to reach a depth of -37.8 meters:
Total time = Number of descents × 2 minutes
Total time = -18 × 2 minutes
Total time = -36 minutes
The answer, -36 minutes, represents the time it will take for the fish to reach a depth of -37.8 meters. Since the fish is descending, the negative sign indicates that the time will be in minutes, and it will take the fish 36 minutes to reach a depth of -37.8 meters below sea level.