Questions in mathematics

Questions in mathematics

[Done] How do I round 3,176 to the nearest thousand?

[Done] How many midgets can sit in a clown car if the car can hold 4 clowns from door to door and 3 people from front seat to back seat? Two midgets fit across 1 clown. How many midgets can sit in the clown car?

[Done] Give all solutions for the nonlinear system of equations, including those with real and complex components. \[ y = x^2 + 6x \] \[ 4x - y = -24 \]

[Done] Your uncle is planting an 8-foot tall tree. He ties support wires to the tree, 1 foot from the top, and ties them to posts on the ground, 4 feet from the trunk of the tree. How long is each wire to the nearest tenth of a foot?

[Done] Two ships leave Whittier, AK at 7 AM. - The first ship sails towards Valdez on a 54° course at a constant speed of 36 mi/h. - The second ship sails towards Knight Island on a 144° course at a constant speed of 42 mi/h. Find the distance between the ships at 11 AM.

[Done] A swimming pool 20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the deck is 704 m². Find the width of the deck.

[Done] How do you do this? Alistair buys an antique chair for £600. It is expected to increase in value at the rate of 4.5% each year. How much is it expected to be worth in 3 years?

[Done] Janette bought a portable CD player on sale. The regular price was $100. She was charged $89. a) What percent of the regular price did Janette pay? b) What percent of the regular price did she receive as a discount?

[Done] A rectangle whose perimeter is 80 m has an area of [tex]384 \, \text{m}^2[/tex]. Find the dimensions of the rectangle.

[Done] What is the value of x in a right triangle with a short leg measuring 5, a long leg measuring 5, and the hypotenuse as x? A. 10 B. 5 C. [tex]2\sqrt{5}[/tex] D. [tex]5\sqrt{2}[/tex]