Questions in mathematics

Questions in mathematics

[Done] What is the answer to this proportion? \[ \frac{99}{3} = \frac{x}{77} \]

[Done] George from the Manchester office has a road atlas with a scale of 1 cm : 10 km. How far does he have to travel to the Sheffield office if the distance on the map is 4.5 cm? \[ \text{Distance} = [\ \ \ ] \text{ km} \]

[Done] At a restaurant, the ratio of kids' meals sold to adult meals sold was 3:9. If there were 12 kids' meals sold, what is the combined total of kids' and adult meals sold?

[Done] Find the length of the hypotenuse of a right triangle with a base of [tex]Y = 6 \, \text{m}[/tex] and an area of [tex]36 \, \text{m}^2[/tex].

[Done] Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18. How much did he deposit into his account?

[Done] A 240-centimeter board is to be cut into two pieces so that the longer piece is twice as long as the shorter piece. Find the length of each piece.

[Done] How much larger than the sum of −1, −2, and 5 is the sum of the squares of these same integers? A. 18 B. 20 C. 22 D. 28 E. 32

[Done] Find all the powers of 3 that are in the range from 3 through 1,000.

[Done] What is \(\frac{1}{10}\) divided by \(\frac{9}{10}\)?

[Done] Solve the equation: \[ 2\cos^2(x) - 5\cos(x) + 2 = 0 \]