y = 4x+1 4y = 15x−8 The solution to the given system of equations is (x,y). What is the value of x−y?
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A right triangle has legs with lengths of 24 centimeters and 21 centimeters. If the length of this triangle’s hypotenuse, in centimeters, can be written in the form 3 d, where d is an integer, what is the value of d?
The floor of a ballroom has an area of 600 square meters. An architect creates a scale model of the floor of the ballroom, where the length of each side of the model is 1/10 times the length of the corresponding side of the actual floor of the ballroom. What is the area, in square meters, of the scale model?
Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point? (x−8)^2 +(y−8)^2 = 16
- - - -_DEF_,_angles_B_and_E_each - - - - ABC In triangles and have measure 27° and angles C and F each have 41° measure. Which additional piece of information ABC is sufficient to determine whether triangle is DEF congruent to triangle?
1,800% The result of increasing^- the quantity x^- by is 684. What is the value of x?
A window repair specialist charges $220 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in ≥ 2 dollars, for x hours of repair, where x? = 60x+100
x(x+1)−56 = 4x(x−7) What is the sum of the solutions to the given equation? OP
The total cost, in dollars, to rent a surfboard consists $25 $10 of a service fee and a per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of $75 to rent the surfboard. Which inequality represents this situation?
s = 40 +3t The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?
The function f is defined by f ( x) = x^2 +x+71. What is the value of f(2)?
An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue $10.25 and per attendee. The event planner has a budget of $300. What is the greatest number of attendees possible without exceeding the budget?
The table gives the distribution of votes for a new school mascot and grade level for 80 students. Grade level Mascot Sixth Seventh Eighth Total Badger 4 9 9 22 Lion 9 2 9 20 Longhorn 4 6 4 14 Tiger 6 9 9 24 Total 23 26 31 80 If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?
ABC DEF Triangles and are congruent, where A corresponds to D, and B and E are right angles. The 18° measure of angle A is. What is the measure of angle F? 18°
- - -_speed_is_64_yards_per_second._What_is_the - - - - - - ~ An object’s object’s speed, in feet per second? (1 yard = 3 feet)
= 76 y = −5 y x^2 The graphs of the given equations in the xy-plane (x,y) intersect at the point. What is a possible value of x? −
Each side of equilateral triangle S is multiplied by a scale factor of k to create equilateral triangle T. The length of each side of triangle T is greater than the length of each side of triangle S. Which of the following could be the value of k?
66x = 66x How many solutions does the given equation have?
- - Vivian^- bought^-^-^-^-^~ party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?
RST In right triangle, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) cos(S) is 15/4. What is the value of?
- - y 50 40 \. i::Q g ~ 30 \ 0.. s \ o 20 u \ \ 10 I\ '~ u 10 20 30 40 50 6) 70 80 90 100^X Company A The graph shows the relationship between the number of shares of stock from Company A, x, and the number of shares of stock from Company B, y, that Simone can purchase. Which equation could represent this relationship?
Which expression is equivalent to (8x(x−7)−3(x−7))/(2x−14), where x > 7?
=^- −8 2^~ +22 The function f^-^-^- is defined by f ( x) ()()^x. = What is the y-intercept of the graph of y f(x) in the xy-plane? (0,14)
Keenan made 32 cups of vegetable broth. Keenan then filled x small jars and y large jars with all the vegetable broth he made. The equation 3x+5y = 32 represents this situation. Which is the best interpretation of 5y in this context?
The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown. y 20 18 16 ~ a/' ~ 14 I V 12.,,,;^('^/ 10./, 8./, 6,^/' 4 2 u X 2 4 6 8 10 12 14 Which of the following equations best represents the line of best fit shown?