Maths-
SAT
Easy
Question
For 5 consecutive even integers, the sum of the first and third integer is 20 less than 3 times the fourth integer. What is the fifth integer?
- 12
- 14
- 16
- 26
The correct answer is: 14
Let the 5 even integers are
2x – 4, 2x – 2, 2x , 2x + 2 , 2x + 4
2x – 4 + 2x = 3 (2x + 2) – 20
4x – 4 = 6x + 6 – 20
20 = 2x + 10
2x = 10
x = 5
2x + 4 = 2(5) + 4 = 14.
Related Questions to study
maths-
Annual Production (thousands of units)
|
|
Factory W |
Factory Z |
|
Product P |
21 |
32 |
|
Product Q |
14 |
24 |
Based on the graph of f, which of the following is a factor of f(x)?
Annual Production (thousands of units)
|
|
Factory W |
Factory Z |
|
Product P |
21 |
32 |
|
Product Q |
14 |
24 |
Based on the graph of f, which of the following is a factor of f(x)?
maths-sat
maths-
The scatterplot above shows the number of surveys sent to and returned from people in 17 different neighborhoods. A line of best fit for the data is also shown. For the neighborhood that had surveys sent to 800 people, which of the following is closest to the positive difference between the actual number of surveys returned and the number predicted by the line of best fit shown?
The scatterplot above shows the number of surveys sent to and returned from people in 17 different neighborhoods. A line of best fit for the data is also shown. For the neighborhood that had surveys sent to 800 people, which of the following is closest to the positive difference between the actual number of surveys returned and the number predicted by the line of best fit shown?
maths-sat
maths-
d = 2,565 - 500t
An airplane flies directly from a city in Pennsylvania to a city in Ecuador. The equation above estimates the distance d, in miles, from the city in Ecuador of the airplane t hours after taking off from the city in Pennsylvania.
Which of the following is the best interpretation of the number 2,565 in this context?
d = 2,565 - 500t
An airplane flies directly from a city in Pennsylvania to a city in Ecuador. The equation above estimates the distance d, in miles, from the city in Ecuador of the airplane t hours after taking off from the city in Pennsylvania.
Which of the following is the best interpretation of the number 2,565 in this context?
maths-sat
maths-
x2 + y = 7
x - y = 5
Which value is a y-coordinate of a solution to the system of equations above?
x2 + y = 7
x - y = 5
Which value is a y-coordinate of a solution to the system of equations above?
maths-sat
maths-
h = 3c
A wildlife biologist uses the formula above to estimate the height h, in centimetres, of an elephant from its foot to its shoulder, based on the circumference c, in centimetres, of the elephant's footprint.
The circumference c of a mother elephant's circular footprint is 4 times the circumference of a baby elephant's circular footprint. What is the ratio of the height of the mother to the height of the baby?
h = 3c
A wildlife biologist uses the formula above to estimate the height h, in centimetres, of an elephant from its foot to its shoulder, based on the circumference c, in centimetres, of the elephant's footprint.
The circumference c of a mother elephant's circular footprint is 4 times the circumference of a baby elephant's circular footprint. What is the ratio of the height of the mother to the height of the baby?
maths-sat
maths-
h = 3c
A wildlife biologist uses the formula above to estimate the height h, in centimeters, of an elephant from its foot to its shoulder, based on the circumference c, in centimeters, of the elephant's footprint.
If the wildlife biologist finds a circular elephant footprint that has a diameter of 30 centimeters (cm) while on a zoological study, which of the following is closest to the biologist's estimate of the elephant's height?
h = 3c
A wildlife biologist uses the formula above to estimate the height h, in centimeters, of an elephant from its foot to its shoulder, based on the circumference c, in centimeters, of the elephant's footprint.
If the wildlife biologist finds a circular elephant footprint that has a diameter of 30 centimeters (cm) while on a zoological study, which of the following is closest to the biologist's estimate of the elephant's height?
maths-sat
maths-
To determine if cooking with olive oil reduces the risk of heartburn for men, researchers interviewed a random sample of 5,500 men who had no history of ' heartburn. Study participants were identified as, either regular or occasional olive oil users. Five years later, researchers interviewed the men again. They found that the proportion of men who experienced frequent heartburn was significantly lower for men identified as regular olive oil users. Which of the following is the most appropriate conclusion of the study?
To determine if cooking with olive oil reduces the risk of heartburn for men, researchers interviewed a random sample of 5,500 men who had no history of ' heartburn. Study participants were identified as, either regular or occasional olive oil users. Five years later, researchers interviewed the men again. They found that the proportion of men who experienced frequent heartburn was significantly lower for men identified as regular olive oil users. Which of the following is the most appropriate conclusion of the study?
maths-sat
maths-
At the beginning of a laboratory experiment, Miguel had 10 milliliters of a solution in a flask. The first step of the experiment consisted of Miguel pouring x milliliters of the solution into a beaker and y milliliters of the solution into a different beaker. There remained at least 4 milliliters of the solution in the flask after the first step. Which of the following inequalities can be used to correctly represent this situation?
At the beginning of a laboratory experiment, Miguel had 10 milliliters of a solution in a flask. The first step of the experiment consisted of Miguel pouring x milliliters of the solution into a beaker and y milliliters of the solution into a different beaker. There remained at least 4 milliliters of the solution in the flask after the first step. Which of the following inequalities can be used to correctly represent this situation?
maths-sat
maths-
A ball was dropped from a height of 1.5 meters and hit the ground several times. The graph above represents the height h, in meters, of the ball t seconds after it was dropped. Of the following, which best approximates the maximum height, in meters, of the ball between the second and third time it hit the ground?
A ball was dropped from a height of 1.5 meters and hit the ground several times. The graph above represents the height h, in meters, of the ball t seconds after it was dropped. Of the following, which best approximates the maximum height, in meters, of the ball between the second and third time it hit the ground?
maths-sat
maths-
The sum of two different numbers x and y is 70, and the difference when the smaller number is subtracted from the larger number is 30. What is the value of xy ?
The sum of two different numbers x and y is 70, and the difference when the smaller number is subtracted from the larger number is 30. What is the value of xy ?
maths-sat
maths-
A 15-foot wire and a 5-foot wire were each cut completely into 10-inch pieces. How many more 10-inch pieces resulted from the 15-foot wire than from the 5-foot wire? (12 inches= 1 foot)
A 15-foot wire and a 5-foot wire were each cut completely into 10-inch pieces. How many more 10-inch pieces resulted from the 15-foot wire than from the 5-foot wire? (12 inches= 1 foot)
maths-sat
maths-
For each repair job, an elevator technician charges r dollars per hour for each hour worked plus a flat fee of k dollars. If the technician charges $210 for a 2-hour job, which of the following represents the relationship between r and k ?
For each repair job, an elevator technician charges r dollars per hour for each hour worked plus a flat fee of k dollars. If the technician charges $210 for a 2-hour job, which of the following represents the relationship between r and k ?
maths-sat
maths-
For each repair job, an elevator technician charges r dollars per hour for each hour worked plus a flat fee of k dollars. If the technician charges $210 for a 2-hour job, which of the following represents the relationship between r and k ?
For each repair job, an elevator technician charges r dollars per hour for each hour worked plus a flat fee of k dollars. If the technician charges $210 for a 2-hour job, which of the following represents the relationship between r and k ?
maths-sat
maths-
Yuna sold boxes of cookies and bags of candy. The ratio of the number of boxes of cookies she sold to the number of bags of candy she sold was 2 to I. If Yuna sold 8 boxes of cookies, how many bags of candy did she sell?
Yuna sold boxes of cookies and bags of candy. The ratio of the number of boxes of cookies she sold to the number of bags of candy she sold was 2 to I. If Yuna sold 8 boxes of cookies, how many bags of candy did she sell?
maths-sat
maths-
At her summer job, Paula earns the same amount of money for each hour she works. If she earns $240 for working 20 hours, how much does she earn for 5 hours?
At her summer job, Paula earns the same amount of money for each hour she works. If she earns $240 for working 20 hours, how much does she earn for 5 hours?
maths-sat
