Cameron took 4 tests, and his scores were as follows: 100 , 60 , 80 , and 30 . Cameron took another test that was scored x . The mean score of the 5 tests he took is 72 . What is the value of x ?
24 questions match · Mathematics · Integrating Essential Skills
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Marco designs a spinner wheel that has exactly 4 sections: red, blue, green, and yellow. He wants the spinner wheel to have a 25% chance of landing on each section. He spins the wheel 500 times. The results of the spins are shown in this table. Spinner Number of times wheel the spinner lands section in each section Red 80 Blue 165 Green 130 Yellow 125 Based on the results in this table, one of the following changes would be the best fix. Which one?
In nABC , ∠A and ∠C are congruent, and the measure of ∠B is 143.6° . What is the measure of ∠A ?
A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second? (Note: 1 mile = 5,280 feet)
An object is launched vertically at 30 meters per second from a 55 -meter-tall platform. The height, h (t) meters, of the object t seconds after launch is modeled by h (t) = −4.9 t + 30t + 55 . What will be the height, in meters, of the object 3 seconds after launch?
Which of the following values, if any, is the y -value of the solution set to the system of equations below? x − y = 7 −4x + 2y = 2
In rectangle ABCD shown, segments B ‾E and C ‾E partition the rectangle into 3 triangles. Given DE = 7 centimeters, BE = 26 centimeters, and CE = 25 centimeters, what is the length, in centimeters, of B ‾C ? A B E D C
In a particular cleaning solution, the ratio of concentrated solution to water is 3:40 . How many cups of concentrated solution should be added to 5 gallons of water to make the cleaning solution in the given ratio? (Note: 4 cups = 1 quart; 4 quarts = 1 gallon)
Lajuan sells exactly 4 kinds of pies in his bakery: apple, pecan, coconut cream, and peach. Of the pies he _1 _ 1 sold on Thursday, were apple, were pecan, 24 4 2 were coconut cream, and 8 were peach. How many total pies did Lajuan sell on Thursday?
In a certain quadrilateral, 2 opposite angles each measure (3x + 5)° . The other 2 opposite angles each measure (x + 3) ° . What is the value of x ?
The first 4 terms of a sequence are shown in the table. The sequence is defined by a 1 = 2 and a n = a n − 1 + (n − 1) for n ≥ 2 . What is the sixth term, a 6 , of this sequence? a 1 a 2 a 3 a 4 2 3 7 16
On the real number line, how many integers are between −_ 65 _ 75 and ? 6 2
Jonathan rode his bike every day for 18 days. The table shows each of the distances he rode. The table also shows the number of days he rode each of those distances. Distance Number (in miles) of days 1 2 3 4 4 3 5 6 7 3 What is the median daily distance, in miles, that Jonathan rode his bike for the 18 days?
Given that 1 ≤ m ≤ 4 , 4 ≤ n ≤ 6 , and 8 ≤ p ≤ 10 , what is the greatest possible value for ( _m ) _1 ? n ( p ) _3
Which of the following datasets has the largest standard deviation?
Michael has a cylindrical fish tank, shown, that has an inside diameter of 18 inches. When he put colored gravel in his fish tank, the water level of the tank rose 2 inches. What is the volume of the gravel in cubic inches? 18 in
Given b = 40 and c = −16 , b + c is equal to the product of −4 and what number?
A certain triangle has interior angle measures of (6x) ° , (2x) ° , and x° . What is the value of x ?
During an event, a store gave a free T‑shirt to every 24 th customer that entered the store and a free gift certificate to every 60 th customer that entered the store. Given that 500 customers entered the store during the event, how many customers received both a free T‑shirt and a free gift certificate?
Which of the following values is the y ‑value of the solution to the given system of equations? −4y − 3 = x x − 22 = 6y _ 1
A scale model, where 1 coordinate unit represents 1 mile, is drawn in the standard (x,y) coordinate plane. Angelo’s house is at (4,−3) , Ella’s house is at (4,7) , Troy’s house is at (−2,7) , and Yoko’s house is at (−2,−3) . Which of the following is closest to the area, in square miles, of the rectangle whose vertices are the real locations of the 4 houses?
As shown, the number line between 0 and 8 is divided into 6 segments of equal length by points A through E . _ Which of the following statements about √ 8 is true? 0 A B C D E 8 _
Let the slope of 3x + 2y = 5 be m 1 , and the slope of x + 4y = 7 be m 2 . Which of the following is true?
It took Sam x minutes to bike the d miles from home to work. Returning home on the same route, it took Sam y minutes. On the way home his average speed was 2 times his average speed on the way to work. Which of the following equations gives y in terms of x ? _ x