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41
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$$left| -4 right| (left| -20 right| - left| 5 right|)$$ =
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42
|
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
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43
|
How many integers x satisfy both $$2 < x\leq 4$$ and $$ 0\leq x \leq 3$$?
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44
|
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
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45
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As shown in the diagram above, a lever resting on a fulcrum has weights of $$w_{1}$$ pounds and $$w_{2}$$ pounds, located $$d_{1}$$ feet and $$d_{2}$$ feet from the fulcrum. The lever is balanced and $$w_{1}$$ $$d_{1}$$ = $$w_{2}$$ $$d_{2}$$• Suppose $$w_{1}$$ is 50 pounds and $$w_{2}$$ is 30 pounds. If $$d_{1}$$ is 4 feet less than $$d_{2}$$, what is $$d_{2}$$, in feet?
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46
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The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G ?
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47
|
$$\frac{3}{100}$$ + $$\frac{5}{1,000}$$ +$$\frac{7}{100,000}$$=
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48
|
If r and s are positive integers such that $$(2^{r})(4^{s}) = 16$$, then $$2r + s$$ =
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49
|
Three people each contributed x dollars toward the purchase of a car. They then bought the car for y dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the three people in equal amounts, each person should receive a refund of how many dollars?
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50
|
$$2x+2y=-4$$
$$4x+ Y= 1$$
In the system of equations above, what is the value of x?
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51
|
Last week Jack worked 70 hours and earned $1,260.
If he earned his regular hourly wage for the first
40 hours worked, $$1\frac{1}{2}$$ times his regular hourly wage
for the next 20 hours worked, and 2 times his regular
hourly wage for the remaining 10 hours worked, what
was his regular hourly wage?
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52
|
If Mel saved more than $10 by purchasing a sweater at
a 15 percent discount, what is the smallest amount the
original price of the sweater could be, to the nearest
dollar?
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53
|
If a and bare positive integers and$$(2^{a})^{b}=2^{3}$$, what is .
the value of $$2^{a}2^{b}$$ ?
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54
|
$$\frac{1}{3- \frac{1}{3- \frac{1}{3-1}}}$$=
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55
|
After 4,000 gallons of water were added to a large
water tank that was already filled to $$\frac{3}{4}$$ of its capacity, the
tank was then at $$\frac{4}{5}$$ of its capacity. How many gallons
of water does the tank hold when filled to capacity?
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56
|
Five machines at a certain factory operate at the
same constant rate. If four of these machines,
operating simultaneously, take 30 hours to fill a certain
production order, how many $$\underline{fewer}$$ hours does it take
all five machines, operating simultaneously, to fill the
same production order?
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57
|
A certain toll station on a highway has 7 tollbooths,
and each tollbooth collects $0. 75 from each vehicle
that passes it. From 6 o'clock yesterday morning
to 12 o'clock midnight, vehicles passed each of the
tollbooths at the average rate of 4 vehicles per minute.
Approximately how much money did the toll station
collect during that time period?
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58
|
How many integers between 1 and 16, inclusive, have,
exactly 3 different positive integer factors?
(Note: 6 is NOT such an integer because 6 has
4 different positive integer factors: 1, 2, 3, and 6.)
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59
|
If d = 2.0453 and $$d^{*}$$ is the decimal obtained by
rounding d to the nearest hundredth, what is the value
of $$d^{*}$$ - d?
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60
|
Stephanie has 2$$\frac{1}{4}$$ cups of milk on hand and makes
2 batches of cookies, using $$\frac{2}{3}$$ cup of milk for each
batch of cookies. Which of the following describes the
amount of milk remaining after she makes the cookies?
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