According to the question; Ron will be twice as old as Aaron. Complement of x = 90 - x Given their difference = 12°Therefore, (90 - x) - x = 12°⇒ 90 - 2x = 12⇒ -2x = 12 - 90⇒ -2x = -78⇒ 2x/2 = 78/2⇒ x = 39Therefore, 90 - x = 90 - 39 = 51 Therefore, the two complementary angles are 39° and 51°9. If the table costs $40 more than the chair, find the cost of the table and the chair. Solution: Let the number be x, then 3/5 ᵗʰ of the number = 3x/5Also, 1/2 of the number = x/2 According to the question, 3/5 ᵗʰ of the number is 4 more than 1/2 of the number.
Solution: Let the breadth of the rectangle be x, Then the length of the rectangle = 2x Perimeter of the rectangle = 72Therefore, according to the question2(x 2x) = 72⇒ 2 × 3x = 72⇒ 6x = 72 ⇒ x = 72/6⇒ x = 12We know, length of the rectangle = 2x = 2 × 12 = 24Therefore, length of the rectangle is 24 m and breadth of the rectangle is 12 m. Then Aaron’s present age = x - 5After 4 years Ron’s age = x 4, Aaron’s age x - 5 4. Then the cost of the table = $ 40 x The cost of 3 chairs = 3 × x = 3x and the cost of 2 tables 2(40 x) Total cost of 2 tables and 3 chairs = $705Therefore, 2(40 x) 3x = 70580 2x 3x = 70580 5x = 7055x = 705 - 805x = 625/5x = 125 and 40 x = 40 125 = 165Therefore, the cost of each chair is $125 and that of each table is $165. If 3/5 ᵗʰ of a number is 4 more than 1/2 the number, then what is the number?
- [Instructor] Kaylee wants to do well in her classes, so she is budgeting her time carefully to decide the number of classes, C, she will take this year.
For each each class that she takes, she expects to spend 2 1/2 hours each week working on homework.
In this section, I'll discuss word problems which give linear equations to solve. There were 38 tee shirts sold and 24 striped shirts sold. Since she spent 2 hours all together, she must have spent hours walking.
The difficult part of solving word problems is translating the words into equations. When you're learning a foreign language, it's good to become familiar with lots of different words; with word problems, it's good to work with lots of different problems. Calvin Butterball buys a book for .70, which is a discount off the regular price. If you travel for 2 hours at an average speed of 60 miles per hour, how far did you travel? Since the planes started 2400 miles apart, when they pass each other they must have Phoebe spends 2 hours training for an upcoming race. Since she ran out, then turned around and walked back, her running and walking distances must be equal.She expects to spend an additional 6 1/2 hours each week completing the assigned reading for all of her classes together. She has 19 hours available each week to complete homework and reading for her classes.If Kaylee has 19 hours available each week to complete homework and reading for her classes, which equation best models the situation? So how much time is it going to take her to complete the homework?You can figure out Two planes, which are 2400 miles apart, fly toward each other. At the end of one interest period, the interest earned was . The interest rate for the 00 investment is greater than the interest rate for the 00 investment. Let x be the interest rate for the 00 investment.Then the interest rate for the 00 investment is . Let x be the number of shirts Joe has and let y be the number of shirts Mark has.Your experience with travelling tells you how to figure this out: That is, Notice that you don't have to rely on just your memory to recall this formula. She runs full speed at 8 miles per hour for the race distance; then she walks back to her starting point at 2 miles per hour. Set the distances equal and solve for x: She spends 0.4 hours running and hours walking. One account pays interest, while the other pays interest. Since a total of 00 was invested, must have been invested at . After one interest period, the interest earned on a 00 investment exceeds the interest earned on a 00 investment by 0. Set this equal to 14.7 and solve for x: Joe has 4 less than 7 times as many shirts as Mark. A total of 62 shirts are sold, and the total value of the shirts is 98. The third column gives an equation which I can solve for x: Then . Joe has 4 less than 7 times as many shirts as Mark: Together, Joe and Mark have 140 shirts: Plug into and solve for y: Then . Tee Shirts sell for each and striped shirts for each. Since 62 tickets were sold all together, the number of striped shirts sold is .(i) There are two different quantities involved: for instance, the number of adults and the number of children, the number of large boxes and the number of small boxes, etc.(ii) There is a value associated with each quantity: for instance, the price of an adult ticket or a children's ticket, or the number of items in a large box as opposed to a small box.