Question
Xavier mixes \( \frac{4}{5} \) bucketsof 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 R4500 in the ratio \( 5: 6 .(2 \times 2) \)
Ask by Logan Riley.
Mar 23,2025 19:53
Upstudy AI Solution
Tutor-Verified Answer
Answer
**1. Mixing Buckets of Concrete**
- Xavier will make **2 buckets** of concrete.
**2. Scientific Notation and Ratio Increase**
- **4500 in Scientific Notation:** \(4.5 \times 10^3\)
- **Increased Amount:** R5400
Solution
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To determine the total number of buckets of concrete Xavier will make, we first need to convert \( 1 \frac{1}{5} \) into an improper fraction. This gives us \( \frac{6}{5} \). When you mix this with \( \frac{4}{5} \) buckets of sand, simply add them together:
\[
\frac{4}{5} + \frac{6}{5} = \frac{10}{5} = 2
\]
So, Xavier will make 2 buckets of concrete.
To write 4500 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10. Here, you can write it as \( 4.5 \times 10^3 \).
Now, increasing R4500 in the ratio \( 5:6 \) means you find the total parts of the ratio: \( 5 + 6 = 11 \). The amount per part is calculated by dividing R4500 by 5:
\[
\frac{4500}{5} = R900
\]
Then, to find the new amount, multiply the parts by 6:
\[
R900 \times 6 = R5400
\]
So, the increased amount is R5400.
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