Questions in mathematics

Questions in mathematics

[Free] What is $g^2-36$ in factored form?

[Free] Subtract. Reduce to lowest terms. $10 \frac{1}{4}-9 \frac{5}{6}=$ A. $1 \frac{5}{12}$ B. $1 \frac{7}{12}$ C. $\frac{7}{12}$ D. $\frac{5}{12}$

[Free] Order the radicals from smallest to largest. Show all your work and explain your method. Note: Do not use the square root key on your calculator! a) [tex]5 \sqrt{3}, 2 \sqrt{15}, 4 \sqrt{5}, 8,6 \sqrt{2}[/tex] b) [tex] \sqrt[4]{176}, \sqrt{44}, \sqrt[5]{352}, \sqrt[3]{88}[/tex] c) [tex]\frac{2}{3}, 2 \sqrt{\frac{1}{3}}, 3 \sqrt{\frac{1}{2}}, 4 \sqrt{\frac{1}{20}}[/tex]

[Free] Begin by writing [tex]\tan (u+v)[/tex] using [tex]\sin (u+v)[/tex] and [tex]\cos (u+v)[/tex]. [tex]\tan (u+v)=\frac{\sin (u+v)}{\cos (u+v)}[/tex] Rewrite the right side using sum identities. [tex]\tan (u+v)=\square[/tex]

[Free] Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of [tex]$60 x^2+[/tex] [tex]$48 x+24$[/tex] ounces. Which factorization could represent the number of water bottles and weight of each water bottle? [tex]$6\left(10 x^2+8 x+2\right)$[/tex] [tex]$12\left(5 x^2+4 x+2\right)$[/tex] [tex]$6 x\left(10 x^2+8 x+2\right)$[/tex] [tex]$12 x\left(5 x^2+4 x+2\right)$[/tex]

[Free] Solve the system for $x$ and $y$. $\begin{array}{l} 7 x+8 y=26 \\ -12 x-7 y=-58 \end{array}$ A. $(14,-9)$ B. $(-2.5)$ C. $(6,-2)$ D. $(-1,10)$

[Free] I. Given below is a magic square. Place the number in the appropriate square so that in each row, column, and diagonal the sums are equal. | 32/38 | 18/38 | 4/38 | -14/-38 | |---|---|---|---| | -18/-57 | ? | ? | 104/152 | | 22/38 | ? | ? | -20/-95 | | 1/19 | -16/-38 | 45/57 | 60/114 | II. Choose the correct answer: 1. A tank holds 45.5 liters of water. If 2/5 of the water is used, how many liters of water remain in the tank? (a) 18.2 liters (b) 27.3 liters (c) 20 liters (d) 30 liters 2. A runner jogs 2/3 of a mile every day for 4 days. How many miles does the runner jog in total? (a) 8/3 (b) 4/3 (c) 2 miles (d) 5/2 3. Maria buys 3.5 pounds of apples at $2.20 per pound and 2 pounds of oranges at $3 per pound. How much does she spend in total? (a) $7.70 (b) $13.90 (c) $10.50 (d) $13.70 4. A rectangular garden has a length of 12.5 feet and a width of 8.75 feet. What is the area of the garden? (a) 110 square feet (b) 108.25 square feet (c) 109.375 square feet (d) 111.5 square feet 5. A cyclist travels 5.8 miles in the first hour, 4.25 miles in the second hour, and 6.5 miles in the third hour. How far does the cyclist travel in total? (a) 16.55 miles (b) 16.5 miles (c) 16.75 miles (d) 17 miles

[Free] Write the number in words. What digit is in the ten thousands place? What is the value of the digit 1 in this number? 2,751,076 = 751,000 + 76 + What is the difference between the place values of the two 7s in this number? What number is 100,000 more than this number? What number is 100 less than this number? Round the number to the nearest million. Find the difference between 2,751,076 and 2,751,075. When 2,751,076 is divided by 9, the quotient is and the remainder is .

[Free] Observe the following pattern and answer the following question: 1, 3, 6, 10, 15 a) Write the pattern rule for the given pattern. The pattern is generated by consecutive integers. b) Write the next three numbers in the pattern.

[Free] i. Sabina's family spent Rs. 15,550 on rent and Rs. 25,780 on food. Find the total amount spent in rent and food. ii. Samjhana earns Rs. 48,950 monthly from her shop and Rs. 15,280 from agriculture farm. Find the total income of Samjhana altogether.