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OG19-数学分册
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Half of a large pizza is cut into 4 equal-sized pieces, and
the other half is cut into 6 equal-sized pieces. If a person
were to eat 1 of the larger pieces and 2 of the smaller
pieces, what fraction of the pizza would remain $$\underline{uneaten}$$?
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The average (arithmetic mean) salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
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Jill and her friends are planning a 5-day/4-night spring break trip to Cancun. Their group has 10 people and they want to stay in the first block of the waterfront area. What is the total cost for Jill and her friends traveling from Partee University?
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PREP07 Test 1
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A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Two groups are considered different if at least one group member is different.)
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.png) 70 students responded to a survey documenting the amount of time spent on television.The results are summarized in the graph as follows: 8 watched fewer than 1 hr of TV per week, 4 watched at least 1 hour but less than 2, and so on.Based on the given information, use the drop-down menus to most accurately complete the following statements.A) The least possible value for the mean of the numbers of hours of TV reported for the week is.B) The number of respondents who watched on average less than 3/4 hour per day during the week is between.
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Joshua is a boy in grade 4 whose running time is 10:30 and whose height is 80cm. For each of the following statements, select Yes if, based on the given information, it must be true of Joshua relative to a model population. Otherwise, select No.
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190302
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There are 50 balls in an opaque bag. The numbers of black balls, white balls, red balls and blue balls are 20, 20, 6, and 4, respectively. If two balls are randomly taken out, what is the probability that the two balls have the same color?
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How many crayons are in a certain box?
(1) If the crayons were evenly distributed among a group of 7 children, 3 crayons would be left over.
(2) If the crayons were evenly distributed among a group of 4 children, 2 crayons would be left over.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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At what speed was a train traveling on a trip when it had completed half of the total distance of the trip?(1)The trip was 460 miles long and took 4 hours to complete.(2)The train traveled at an average rate of 115 miles per hour on the trip.
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A certain circle in the xy-plane has its center at the origin. If P is a point on the circle, what is the sum of the squares of the coordinates of P?(1) The radius of the circle is 4.(2) The sum of the coordinates of P is 0.
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200301
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There is a rectangular box, with a length of 4, a width of 4, and a height of 1. At present, there are two kinds of small packages: spherical packaging boxes and cylindrical packaging boxes. (1) 16 identical spherical packaging boxes with a diameter of 1 can be contained in this rectangular box. (2) 16 identical cylindrical packaging boxes with a bottom-circle diameter of 1 and a height of 1 can be contained in this rectangular box. Assume that the space ratio of 16 small spherical boxes in this rectangular box is S, and the space ratio of 16 small cylindrical boxes in this rectangular box is C. Which of the following can correctly represent the relationship between S and C?
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OG18-数学分册
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In the equation $$x^{2} + bx + 12 = 0$$, x is a variable and b is a constant. What is the value of b?(1) x - 3 is a factor of $$x^{2} + bx +12.$$(2) 4 is a root of the equation $$x^{2} + bx + 12 = 0$$.
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OG19 OG20 OG2022
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if a certain vase contains only roses and tulips, how many tulips are there in the vase?
(1 )The number of roses in the vase is 4 times the number of tulips in the vase .
(2)There is a total of 20 flowers in the vase.
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OG19-数学分册
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In the equation $$x^{2} +bx+ 12 = 0$$, xis a variable and b is a constant. What is the value of b ?
(1) $$x - 3$$ is a factor of $$x^{2} + bx+ 12$$.
(2) 4 is a root of the equation $$x^{2} +bx+ 12 = 0$$.
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In the sequence of nonzero numbers $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$, ..., $${t}_{n+1}=\frac{{t}_{n}}{2}$$ for all positive integers n. What is the value of $${t}_{5}$$?(1) $${t}_{3}=\frac{1}{4}$$(2) $${t}_{1}-{t}_{5}=\frac{15}{16}$$
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OG17 OG18
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Which one of the following statements is most strongly supported by the information presented in the tabs?
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If x is to be selected at random from set T,what is the probability that $$\frac{1}{4}{x}-{5}<{0}$$ ?(1)T is a set of 8 integers.(2)T is contained in the set of integers from 1 to 25, inclusive.
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OG15
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In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was $$\frac{3}{5}$$.After 600 additional Republicans and 500 additional Democrats registered, the ratio was $$\frac{4}{5}$$.After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?
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PREP07 Test 1
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For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 ?
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PREP07 Test 1
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A certain state levies a 4 percent tax on the nightly rates of hotel rooms. A certain hotel in this state also charges a $2.00 nightly fee per room, which is not subject to tax. If the total charge for a room for one night was $74.80, what was the nightly rate of the room?
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