Questions in mathematics

Questions in mathematics

📝 Answered - Solve $x / 6=20$. A) $x=14$ B) $x=3$ C) $x=120$ D) $x=26$

📝 Answered - which answer satisfy this pattern?

📝 Answered - Jason's bank statement is shown below: | Beginning Balance | | 578.65 | | ----------------- | - | ------ | | Rent | 275.60 | - | | Paycheck | - | 363.20 | | Charitable donation | 20.00 | - | | Keyboard | 63.29 | - | | Refund on purchase | - | 21.19 | | Groceries | 44.08 | - | | Microwave | 68.74 | - | | Ending Balance | | 491.33 | However, Jason's bank statement says that his ending balance is $473.33. Which of the following is a possible explanation for the discrepancy? A. Jason actually made two $20 charitable donations but forgot to write one of them down. B. Jason listed the refund as a credit, but it should be a debit. C. Jason listed the groceries out of habit, but he did not actually purchase them this week. D. Jason transposed the digits on the microwave's price, which actually cost $86.74.

📝 Answered - You contract with a landscaper to install a new patio in your backyard. Her bill is $[?] $1,850 \frac{2}{5}$ net 30. Find the amount needed to pay the bill with the discount included.

📝 Answered - The following table gives the lifetime of 400 neon lamps. | lifetime in hours | No. of lamps | |---|---| | [tex]$300-400$[/tex] | 14 | | [tex]$400-500$[/tex] | 56 | | [tex]$500-600$[/tex] | 60 | | [tex]$600-700$[/tex] | 86 | | [tex]$700-800$[/tex] | 74 | | [tex]$800-900$[/tex] | 62 | | [tex]$900-1000$[/tex] | 48 | Represent given info with the help of a histogram.

📝 Answered - Brian skied for 0.75 hours at an average speed of 9.25 miles per hour. His sister Tori calculated the distance Brian skied. Tori's work is shown below. [tex]\begin{array}{r} 9.25 \\ \times 0.75 \\ \hline 4625 \\ +\quad 6475 \\ \hline 11.090 \text { miles }\\ \end{array}[/tex] What errors did Tori make when solving the problem? Check all that apply. A. She multiplied 5 and 925 incorrectly. B. She did not correctly align the place values of the partial products. C. She did not place the decimal point correctly. D. She added the partial products incorrectly.

📝 Answered - Kevin and Mark took a random sample of 100 pieces of trail mix to determine the number of peanuts, raisins, and almonds in a container. | | Kevin's Sample | Mark's Sample | | -------- | -------------- | ------------- | | Peanuts | 74 | 45 | | Raisins | 10 | 17 | | Almonds | 16 | 38 | If each container of trail mix is known to have $40 \%$ peanuts, $40 \%$ almonds, and $20 \%$ raisins, which sample is a better representation of the actual population?

📝 Answered - The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month. How many months will it take for both accounts to have the same amount of money? [tex] \begin{array}{l} 112-25 m+45=50-60 m \ 112+25+45 m=50 m+60 \ 112+25-45 m=-50 m+60 \ 112+25 m+45=50+60 m \end{array} [/tex]

📝 Answered - Find the term that contains $x^5$ in the expansion of $(2 x+3 y)^8$.

📝 Answered - What is the solution $(q, r)$ to this system of linear equations? $\begin{array}{l} 12 q+3 r=15 \\ -4 q-4 r=-44 \end{array}$ A. $(-18,29)$ B. $(-2,13)$ C. $(8,-1)$ D. $(15,-44)$