A bank teller has a total of 63 bills in​ five-, ten-, and​ twenty-dollar denominations. The total value of the money is $730. (a) Find the total number of solutions. ​(b) Find the solution with the smallest number of​ five-dollar bills. ​(c) Find the solution with the largest number of​ five-dollar bills.   ​(a) Let x be the number of​ five-dollar bills, y be the number of​ ten-dollar bills, and z be the number of twenty dollar bills. Translate the given information into two​ equations, using​ x, y, and z as the variables.   ______=63 ______=730   Thus, the solution with the largest number of​ five-dollar bills is when the bank teller has_____fives,______​tens, and_______twenties.   (Do not factor. Use integers or decimals for any numbers in the​ expressions.)

Q: Solve by graphing (x+ 3)°(x+ 1)(x – 2)²(x- 4) 2 0. Express your final answer on a number line.

A: Here we have to solve by graphing x+33(x+1)(x-2)2(x-4)≥0

Q: Solve for the value of “x" * |-3 1 6. | 17 4 2х -3 |-1 2 4,

A: Given: 17=-31642x-3-124

Q: 3. Solve by graphing (x+ 3) (x+ 1)(x – 2)²(x - 4) 2 0. Express your final answer on a number line.

A: Explanation of the answer is as follows

Q: A chemist wishes to make 100 liters of 3% acid solution by mixing a 2% solution with a 5% solution.…

A: A chemist wishes to make 100 L of an 3% acid solution by mixing a 2% acid solution and a 5% acid…

Q: person plans to invest a total of $5500 in one bank account at 2.6% annual interest and another bank…

A:

Q: Solve by elimination: 2x + y = -3   x-y= -9

A: we are given two equations  2x+y=-3x-y=-9

Q: square pyramid in Egypt has an amount of its base equal to 12,000 sq. meters and its altitude is…

A: Note : Space enclosed for any object is given by the volume of that object.   Hence ,  Amount of…

Q: Brandon and his children went into a bakery and where they sell donuts for $1.25 each and cookies…

A: Price of donut = $1.25 each Price of cookie  = $0.25 each Money with Brandon = $5.50 Brandon has to…

Q: -7< b - 4 < O

A:

Q: Tarmizi has 2x goats already available for sale. Each scanned goat is sold at a price of RM…

A: Find your answer below

Q: 2. Solve X' - 3x – 4x+12 2 0 algebraically (number line)

A:

Q: solve graphically by the intersection method. Give the solution in interval notation.

A: 7x+3 &lt; 2x-7 5x &lt; -10 x &lt; -2 x ∈ (-∞,-2)   3x+4 ≤ 6 x-5 9 ≤ 3x 3 ≤ x x ∈ [3,∞)

Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

A:

Q: Solve  equation.  45 - [4 - 2x - 4(x + 7)] =-4(1 + 3x) - [4 - 3(x + 2) - 2(2x - 5)]

A: Given equation : 45-4-2x-4x+7=-41+3x-4-3x+2-22x-5 Solve the above equation  we get ,…

Q: x' fx -5-0

A:

Q: Solve 2 [-[-530] = x(0) = 6, y(0) = = - 22 10 1 [3] 1-18-18- 16 = +

A:

Q: 3. The sum of three consecutive integers is 53 more than the least of the integers. Find the…

A: integers are 25,26 and 27 for detail go through the solution

Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the…

A:

Q: math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

A: A math instructor prepared a test consisting of 50 problems worth 2 points, 5 points, and 10 points…

Q: Which number is NOT in the solution set of x + 5 > 10 ?

A:

Q: Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50…

A: Let the number of bags of popcorn bought by Jackson is x and the number of candies  bought is y The…

Q: Solve 71+3r9 +6xs- I+ I, = --2 211+ 8r2 + 16r3 - 3r4 +3x5 = -4 +20, + 4r3-3,+3x; -7

A:

Q: sum of two non-negative numbers x and y is 16. What is the smallest possible value of x2 + y2

A:

Q: 13) solve Por OSOL2M -l6+2cos"=DCO50-5

A:

Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can emptythe pool in 26…

A:

Q: Solve by elimination  2x-6y=6 3x-y=25

A: We solve the given equation by elimination method and find x and y.

Q: -7+ 8 3n – 1 >-15

A: Given,            -7+83n-1&gt;-15

Q: how do i solve 7x+8x=13x and is it linear or not linear? and how?

A:

Q: -5: Solve by using method of separation of variables =0 ду ax

A:

Q: how do i solve 4/x-2 =-3/x+5 + 7/(x+5)(x-2)

A: Consider the given equation:

Q: How to solve step by step: If x+3/7 - x-3/5 = 4/5, then x = ?

A: LCM of 7 and 5 is = 35 So multiply both sides by 35

Q: When a new model of computers became available, Micro Center reduces the price of the older…

A: Micro Center reduces the price of older computers by 30% Peter has 1575$ Original Price of the…

Q: he perimeter of a triangle is 26 cm. The first side is 6 cm shorter than the second side. The third…

A: Given that: Perimeter of triangle=26 cmFirst side is 6cm shorter than the second side.Third side is…

Q: Solve 2 3 - = 13 and х у 5 4 -2 X X y

A:

Q: How do I solve this:  x+1----   &lt;  1x-6

A: Solve the given ineqality and compute the solution set of  as follows.

Q: Find three different integer solutions to the equation x = - 5. 1st point: ( -5 2nd point: ( -4 -4…

A: Solution:

Q: Solve! Ay-5 -4 =-1

A: We need to solve the following equation 2y-53 -4 = -1

Q: How do I find the set of equations?

A:

Q: The total annual sales of a book in either paper of electronic form are 3500.each paper copy of the…

A: (a).           A pair of simultaneous equation is                         x + y = 3500…

Q: Customers of a phone company can choose between service plans for long distance calls. The first…

A:

Q: A person plans to invest a total of $7500 in one bank account at 3.3% annual interest and another…

A:

Q: A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the…

A: Let the distance travelled by first car be x miles and distance travelled by second car be equal to…

Q: Solve а) 2х - у—42 — 2 4x – 2y – 6z = 5 6x – 3y – 8z = 8 y

A: according to our terms and condition i have solved first question for next part repost.

Q: 3) The sum of two consecutive integers is less than 55. Find the pair of integers with the greatest…

A:

Q: A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the…

A: To solve the given algebraic problem.

Q: 1. Solve 2x = -20 2. Find 2 solutions to 2x > -20

A:

Q: Lisa is 8 centimeters taller than Jakobe. Jakobe is 12 centimeters taller than Demonte. Every month,…

A: let's assume present height of Demonte is x cm, then Present height of Jakobe will be x+12cm and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.