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Questions in mathematics

📝 Answered - Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown. 1. [tex]6p + 3n = 18[/tex] 2. [tex]n = 2p[/tex] 3. [tex]6(2n) + 3n = 18[/tex] 4. [tex]12n + 3n = 18[/tex] 5. [tex]15n = 18[/tex] [tex]n = $1.20[/tex] Onions cost $1.20 per pound. Analyze the daughter's solution. Which statements are true? Check all that apply. A. The equation [tex]2n = p[/tex] should be [tex]2p = n[/tex]. B. The equation [tex]6p + 3n = 18[/tex] should be [tex]6n + 3p = 18[/tex]. C. The actual cost of the onions is $3.00 per pound. D. Potatoes cost $0.60 per pound. E. Potatoes cost $1.50 per pound. F. Potatoes cost $2.40 per pound.

📝 Answered - Complete the table. | | Flock X | Flock Y | Flock Z | |---|---|---|---| | Total Pieces of Food Eaten | 32 | 180 | 88 | | Food Percentage* | $\square$ % | $\square$ % | $\square$ % | | Simulated Number of Birds in Flock for 3rd Generation** | $\square$ | $\square$ | $\square$ | * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30).

📝 Answered - The population (in millions) of a certain island can be approximated by the function [tex]$P(x)=50(1.05)^x$[/tex], where [tex]$x$[/tex] is the number of years since 2000. In which year will the population reach 200 million? A. 2066 B. 2002 C. 2015 D. 2028

📝 Answered - Select whether the equation has a solution or not. [tex]$\sqrt{4 x+5}-\sqrt{x-1}=\sqrt{x+4}$[/tex] A. no roots B. roots

📝 Answered - By rounding to 1 significant figure, estimate the answers to these questions: a) $72 \times 45$ b) $26 \times 532$ c) $675 \times 351$

📝 Answered - Jessica wants to add a border around the edge of the solar panels to help protect them from weather events. Write the standard form expression that represents the amount of border material Jessica will need. Enter the correct answer in the box.

📝 Answered - Which of the following fractions represents the product? [tex]$\frac{5}{10}$[/tex] [tex]$\frac{5}{12}$[/tex] [tex]$\frac{5}{6}$[/tex] [tex]$\frac{6}{12}$[/tex]

📝 Answered - Beth withdrew $35 from her checking account. In which column should she record the $35 withdrawal? | Check number | Date | Description of Transaction | (-) Debits | | (+) Deposits | Balance | |---|---|---|---|---|---|---| | | | Beginning Balance | | | | 379.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | A. Check Number B. Debit C. Deposit

📝 Answered - Madir School, Madurai, five students have been assigned a unique three-digit student ID code as follows: 624, 315, 928, 736, 459. If the digits in each of the ID codes are rearranged in descending order within the number, what will be the lowest among the new numbers formed? Give your answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0.

📝 Answered - Translate the following phrase into an algebraic expression. Please use the variable x. Nineteen more than three times a number