2x+5= length
2x+5+2x+5+x+x=28
6x+10=28
6x=18
x=3
The width is 3 and the length is 11.
Answer:
A) 120 cm^3
Step-by-step explanation:
area of triangle = 1/2 x 5 x 12 = 30
volume = 1/3 x 30 x 12 = 120
Answer:
225 milliliters
Step-by-step explanation:
Marianne tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds 148 5 milliliters of slushy remains. how much slushy was originally in the cup?
let x = slushy originally in the cup
total slushy consumed in 17 seconds = 17 x 4.5 = 76.5 ml
x - 76.5 = 148.5
collect like terms
x = 148.5 + 76.5
x = 225 ml
Hello there! So, the first thing we do when solving these types of problems is to find the interest rate. Because this is simple interest, the amount earned will be constant. The formula for this is I = prt. The principle is the $2,200. The rate earned per year is 3.4%. 2,200 * 3.4% (0.034) is 74.80. That's $74.80 worth of interest each year. The amount of time is 5.5 years. 74.8 * 5.5 is 411.4. Carmelo will earn $411.40 worth of interest in 5.5 years. However, that's not all. We are looking for the total amount of his bonds, which means add the interest and his initial amount in the bank. 2,200.00 + 411.40 is 2,611.4. Carmelo's saving bonds will be worth $2,611.40 at the end of 5.5 years.
Apply the Pythagorean Theorem here.
Square the lengths of the 2 shorter sides: (20 mi)^2 and (40 mi)^2. Correct results are 400 and 1600. Combine these: obtain 2000.
Then the length of the diagonal (which is the distance between the 2 cities) is
sqrt(2000) = sqrt(400)*sqrt(5) = 20 sqrt(5) (answer)