Define the variable and write an equation for each problem. Mike bought a tape and a CD. The CD cost twice as much as the tape. The total cost was $66.99. Fine the cost of each. x= Anne lost her tennis racket. She bought a new one for $30.00. This was $6 less than three times the price of the old one. How much did she pay for the old racket? x= The perimeter of a rectangle is 110 ft. The length is 5 less than 4 times the width. What are the dimensions of the rectangle? x= Equation: You want to buy 5 square yards of carpet. In addition to the cost of the carpet, there is a $40 installation fee. The total bill is 234.25. What is the cost of one square yard of carpet? x= Mary charges $2.50 per hour for babysitting plus $2.00 for gas if she has to drive to the house. If Mary drove to babysit and earned $9.50, how many hours did she work? x=
A cuboid box has a square base and a height of 0.8 m, as shown in the diagram below. If the volume of the box is 0.288 m3 , calculate the total surface area of the box.
Calculati suma tuturor numerelor de forma abba stiind ca ab - ba = 3a += 3b a si b fiind cifre nenule
Select the correct answer Nell is on a scuba diving expedition. The graph shows Nell's approximate elevation as he jumps off the dive boat. The variable E is his elevation in feet with respect to the water level, and t is the time in seconds. Scuba Diving 100 E 50+ 0 -50 -100 -150- -200 -250 Elevation (feet) -300- 350 400 2 3 4 5 6 OA E-71 28 OB E-17-152+28 OC. E-715 OD. E-77-15-22 t 7 89 10 Time (seconds) Which equation best models the given graph?
Omar is hiring a painting company to paint the interior of his house. The table represents prices the painting company quoted Omar. Write a two-variable linear equation to represent the total cost, c, given the square feet, s, of the house. A: c=2.25s+1347.85 B: c=2.25s+2847.85 C: c=2.25s+4047.85 D: c=2.25s+7654.60
1 10 points The rule for dilation of a quadrilaterial is Do.0.08 (z,y) (0.08z, 0.08y). What is the Y coordinate of a new point if the new coordinate is (3-9)? Round to the nearest hundredth if necessary. Type your answer..... 2 10 points
A group of scientists is studying the relationship between the weight of a vehicle, in tons, and its energy efficiency levels, in kilometers per gigajoule (km/GJ). The scientist studied several vehicles of different weights for a year. The results are shown on the scatter plot below with the line of best fit, which can be described by the model y=−20.3x+326. The residuals based on the scatter plot are shown in the table below. Select the statement that best describes the direction of the correlation of the line of best fit as it relates to the weight of the vehicle and its energy efficiency levels. A: strong positive linear relationship B: strong negative linear relationship C: weak positive linear relationship D: weak negative linear relationship
Last year, the student population at Haley Elementary School was 360 students. After rezoning this year, the student population is 10% smaller. HOW MANY STUDENTS ATTEND HALEY ELEMENTARY THIS YEAR?
