Shsat Practice Quiz 3

Based on the given information, "nyeer cog joch" means "big yellow taxi" and "shaw joch" means "big house." Since "cog" is the only word that appears in the phrase "nyeer cog joch" and does not appear in any other phrases, it can be inferred that "cog" means "yellow."

The product of the square root of 9 and the square root of 49 can be calculated by multiplying the two square roots together. The square root of 9 is 3, and the square root of 49 is 7. Therefore, the product of the two square roots is 3 * 7 = 21.

To find the product of #5 and #8, we need to substitute the values of #5 and #8 into the equation #x = x/4.
#5 = 5/4 = 1.25
#8 = 8/4 = 2
Now, we can multiply #5 and #8: 1.25 * 2 = 2.5. Therefore, the product of #5 and #8 is 2.5.

The mean age of the four friends is calculated by adding up their ages and dividing by the number of friends. In this case, the sum of their ages is 39 + 22 + 45 + Eric's age. Since the mean age is given as 33.5, we can set up the equation (39 + 22 + 45 + Eric's age) / 4 = 33.5. Solving this equation, we find that Eric's age is 28.

If Benita will be 24 years old in 8 years, it means that currently Benita is 24 - 8 = 16 years old. Since Julie is half as old as Benita, Julie is 16 / 2 = 8 years old. Therefore, 3 years ago, Julie was 8 - 3 = 5 years old.

The greatest common factor (GCF) is the largest number that divides evenly into both numbers. To find the GCF of 135 and 210, we can list the factors of each number and find the largest one they have in common. The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. The largest factor they have in common is 15, so the GCF of 135 and 210 is 15.

The given statements imply that all actors are friendly and some writers are actors. Therefore, it can be concluded that some friendly people are writers, as the actors who are friendly can be considered as friendly people, and some of them are also writers according to the given information.

Cody ate 1/7 of the cereal on Monday, which means that 6/7 of the cereal is still left. On Tuesday, he ate 1/6 of the remaining cereal, which is 1/6 * 6/7 = 1/7 of the total cereal. Therefore, after Tuesday, there is 6/7 - 1/7 = 5/7 of the cereal left in the box.

Tia initially had a total of 15 + 12 + 7 + 1 = 35 marbles in the box. She removed 8 marbles, 6 of which were blue. After removing 8 marbles, there are now 35 - 8 = 27 marbles left in the box. Out of these 27 marbles, there are still 15 blue marbles remaining. Therefore, the probability of randomly selecting a blue marble is 15/27, which simplifies to 5/9.

If Melissa uses 3/5 as much water as Neil, and Melissa uses 4 and 1/3 gallons of water, we can set up a proportion to find out how much Neil uses. Let's call Neil's water usage "x". The proportion would be (3/5)x = 4 and 1/3. To solve for x, we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3. This gives us x = (4 and 1/3) * (5/3) = 21/3 = 7. Therefore, Neil uses 7 gallons of water. Since Neil uses 7 gallons and 2/9 gallons is less than 1 gallon, the correct answer is 7 and 2/9 gallons.

The least number of tourists that can be in this group is 7. This is because there are at least three tourists who are not Japanese, which means there are at least three non-Japanese tourists in addition to the Japanese family of four. Additionally, all but five of the group are Americans, which means there are at least two non-American tourists in the group. Therefore, the minimum number of tourists in the group is 7.