Maths-
SAT
Easy
Question
Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per hour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems of inequalities represents this situation in terms of the number of hours he will work at his lawn service job, l, and the number of hours he will work at his job at the gym, g, next week?
The correct answer is:
He can work at most 20 hours l + g ≤ 20
Per hour lawn work he gets $10
Per hour of gym work he gets $8
For l hours he gets 10l
For g hours he gets 8g
10l + 8g ≥ 175
Related Questions to study
maths-
On November 1st, there were 2,500 boxes in a warehouse. On December 1st, there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st, there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st?
On November 1st, there were 2,500 boxes in a warehouse. On December 1st, there were 15% fewer boxes in the warehouse than there were on November 1st. On January 1st, there were 20% more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st?
maths-sat
maths-
Raymond’s weekly income consists of a base salary for a 40-hour workweek plus overtime pay. The overtime pay is paid at an hourly rate for the time that Raymond works in addition to his 40-hour workweek. Raymond’s weekly income, in dollars, can be represented by the expression 800 + 30x, where x is the total number of hours Raymond works over 40 hours. Which of the following is the best interpretation of the number 800 in this context?
Raymond’s weekly income consists of a base salary for a 40-hour workweek plus overtime pay. The overtime pay is paid at an hourly rate for the time that Raymond works in addition to his 40-hour workweek. Raymond’s weekly income, in dollars, can be represented by the expression 800 + 30x, where x is the total number of hours Raymond works over 40 hours. Which of the following is the best interpretation of the number 800 in this context?
maths-sat
maths-
A scientist conducted an experiment and selected a random sample of runners from a list of all high school track participants from a certain city. The scientist randomly assigned each runner to one of two treatment groups, and the results of the experiment were found to be statistically significant. To which of the following populations can the results of the experiment be safely generalized?
A scientist conducted an experiment and selected a random sample of runners from a list of all high school track participants from a certain city. The scientist randomly assigned each runner to one of two treatment groups, and the results of the experiment were found to be statistically significant. To which of the following populations can the results of the experiment be safely generalized?
maths-sat
maths-
An electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
An electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
maths-sat
maths-
A student walks x kilometers (km) along a straight path from point P to point Q. Then the student walks y km along a straight path from point Q to point R. What is the total distance, x + y, in km, that the student walks?
A student walks x kilometers (km) along a straight path from point P to point Q. Then the student walks y km along a straight path from point Q to point R. What is the total distance, x + y, in km, that the student walks?
maths-sat
maths-
(x − 6)2 + (y − 3)2= 25
The graph in the xy-plane of the equation above is a circle. If the circle is translated downward a units such that the circle is tangent to the x-axis, the equation becomes (x − 6)2 + (y − 3 + a)2= 25. What is the value of a ?
(x − 6)2 + (y − 3)2= 25
The graph in the xy-plane of the equation above is a circle. If the circle is translated downward a units such that the circle is tangent to the x-axis, the equation becomes (x − 6)2 + (y − 3 + a)2= 25. What is the value of a ?
maths-sat
maths-
The graph of the cubic function f is shown in the xy-plane above. If f(a)=0, where a is a constant, what is one possible value of a ?
The graph of the cubic function f is shown in the xy-plane above. If f(a)=0, where a is a constant, what is one possible value of a ?
maths-sat
maths-
Which of the following could be the graph of y = x2+2x+2?
Which of the following could be the graph of y = x2+2x+2?
maths-sat
maths-
C(t)= 50.25t+ 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤8. In the function, what does the number 50.25 represent?
C(t)= 50.25t+ 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤8. In the function, what does the number 50.25 represent?
maths-sat
maths-
If a is the mean and b is the median of nine consecutive integers, what is the value of |a-b|?
If a is the mean and b is the median of nine consecutive integers, what is the value of |a-b|?
maths-sat
maths-
The box plots above summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
The box plots above summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
maths-sat
maths-
Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. ,She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?
Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. ,She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?
maths-sat
maths-
The graph of the exponential function g in the x y - plane passes through the points(0, 1), (1, 4), and (2, 16). Which of the following is NOT true?
The graph of the exponential function g in the x y - plane passes through the points(0, 1), (1, 4), and (2, 16). Which of the following is NOT true?
maths-sat
maths-
Questions 39 and 40 refer to the following Information
Ryan is comparing five different hay balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown below.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table below.
Of the following ,which ratio is closest to the width of bales made by hay baler A to the width of bales made by hay baler D?
Questions 39 and 40 refer to the following Information
Ryan is comparing five different hay balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown below.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table below.
Of the following ,which ratio is closest to the width of bales made by hay baler A to the width of bales made by hay baler D?
maths-sat
maths-
WA sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?
WA sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?
maths-sat
