Xavier mixes \( 2 \frac{4}{5} \) buckets of coarse sand with \( 1 \frac{1}{5} \) buckets of cement to make a special type of concrete. How many buckets of concrete will he make? Tasneem is an intern at ZX Communications Agency. She earns R4 500 a month. 1.2.1 \( \quad \) Write the number 4500 in scientific notation. \( 1.2 .2 \quad \) Increase R4 500 in the ratio \( 5: 6 \).
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor


Mind Expander
To find the total number of buckets of concrete Xavier will make, we need to add the two mixed quantities: \( 2 \frac{4}{5} \) buckets of sand and \( 1 \frac{1}{5} \) buckets of cement. First, convert both mixed numbers to improper fractions: \( 2 \frac{4}{5} = \frac{14}{5} \) and \( 1 \frac{1}{5} = \frac{6}{5} \). Now, add them together: \[ \frac{14}{5} + \frac{6}{5} = \frac{20}{5} = 4 \] So, Xavier will make a total of 4 buckets of concrete. For Tasneem's earnings in scientific notation, you express R4500 as \( 4.5 \times 10^3 \) since you're moving the decimal point three places to the left. To increase R4,500 in the ratio of 5:6, we first find the total parts: \( 5 + 6 = 11 \). Then, allocate the amounts based on the ratio: For 5 parts, it's \(\frac{5}{11} \times 4500 = R2045.45\), and for 6 parts, it's \(\frac{6}{11} \times 4500 = R2454.55\). The increased amount is R2454.55, leading to a new total of R6,954.55 for Tasneem!