Why does it work to break apart a number by place values to multiply

Britta bought some carrots and apples for $24.80. A carrot and a apple cost $0.90 altogether. She bought more carrots than apples. The cost of the extra number of carrots was $6.80. How many apples did Britta buy?

HURRY! Farmer McHenry is going to sell his tomatoes at the farmer's market. It costs Farmer McHenry $2.50 in gas, $1 for the stand, and $0.50 for price tags. Farmer McHenry is going to sell his tomatoes for $0.50 each.

The quantity is called the pooled variance estimate of the common variance of two unknown but equal population variances. It is the weighted average of the two sample variances, where the weights represent the: sample variances.

What is the length of a car if the length on the scale model car is 17 cm and the scale is 2 cm : 50 cm? A. 4.25 cm B. 425 cm C. 680 cm D. 850 cm E. 1700 cm

One Mural is 12 by28 the other is 12 by 32 what is the total area

What is the coefficient in the expression 5x^2 + 3? A. 5 B. X C. 3 D. 2

2. A city council had a proposal for a new traffic light at an intersection that had a recent accident. The council decided to take a poll of 284 randomly selected residents and asked if they would support the construction.

Elen deposited $2,500 into a savings account that earns 5% interest per year. Her friend's bank offerS a 6% annual interest rate. How much more money would Ellen's money have earned in one year if she had deposited her money at her friend's bank?

A climber is standing at the top of a mountain, approximately 2.5 mi above sea level. The radius of the Earth is 3959 mi. What is the climber's distance to the horizon? round final answer to the nearest tenth

A farmer's corn field is a triangle with side lengths of 16 feet, 24 feet, and 32 feet. The farmer plans to increase each side length by the same number of feet.