Questions in mathematics

Questions in mathematics

[Done] Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution? \[ \begin{cases} y = x + 7 \\ y = -2x - 11 \end{cases} \]

[Done] In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3, 7) and (4, -8)?

[Done] There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?

[Done] One route along flat terrain from Hermansville to Melville is to drive straight north from Hermansville for 120 miles to Jamestown, then, at Jamestown, to drive straight west for 80 miles to Melville. If a straight, flat road existed between Hermansville and Melville, approximately how many miles long would it be?

[Done] A partial deck of cards was found sitting out on a table. If the partial deck consists of 6 spades, 3 hearts, and 7 diamonds, what is the probability of randomly selecting a red card from this partial deck? (Note: Diamonds and hearts are considered "red," while spades and clubs are considered "black.")

[Done] What is 5.36201 rounded to 1 decimal place?

[Done] Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 binder. Jordan paid $4.65 for 2 notebooks and 1 binder. What is the price of one of the notebooks?

[Done] What value of \( x \) will satisfy the equation [tex] 0.2(x - 2,700) = x [/tex]?

[Done] Use long division to find the quotient: \((x^2 + 6x - 27) \div (x - 3)\)

[Done] 1. Mrs. Perry shares out 20 biscuits between Gemma and Zak in the ratio 1:4. How many biscuits do they both get? 2. Mr. Castle shares out 80 marbles between Emily and Asif in the ratio 7:1. How many marbles do they each get? 3. Ms. Adams shares out 10 pencils between Niamh and Jack in the ratio 2:3. How many do they each get?