Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equation can be used to determine the length and the width of the rug?   A. 21 = w2 + 4   B. 21 = 4w2   C. 21 = w2 – 4w   D. 21 = w2 + 4w   Exhibits

Q: Which equation can be used to solve for r in the following diagram? (5x-70)° 105°

A: Given ,  We have to write equation that used to solve for x

Q: What is the result of adding these two equations? 2x + 3y = -5 5x – y = -12

A: See attached file for a step by step explanation.

Q: Filipo is building a rectangular sandbox for his younger brother. The length of the sandbox is 1…

A:

Q: Which equation does not have a solution of 6? A. t+5 = 11 B. 3-t= -3 C. 7t = 42 D. 꼴 -3

A: Given equations, A. t + 5 = 11B. 3-t=-3C. 7t = 42D. 24t = 3

Q: The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than…

A: Given problem:- The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6…

Q: The area, in square inches, of a certain right triangle is given by the equation A b(2b), where b is…

A: Given: The area in square inches of a certain right triangle is given by the equation A=12b2bwhere b…

Q: if a gardener has 26 foot of fencing for a garden. to find the width of the rectangular garden, the…

A: Total perimeter of garden=26 Foot -1P=2l+2w -2where l=length          w=width

Q: 7x + b = ax - 6 a = -6 a = 7 a = 1

A: Please refer to the image below

Q: Solve for v. y-4 +6=22

A: Given,            v-4+6=22

Q: 1. At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2…

A:

Q: The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and…

A: It is given that; Perimeter of rectangle is =48 cm Let length of rectangle =l and width of the…

Q: QA, Solve the Ive : y'= [2+Y-2)", y lo) =2.

A: Using substitution method to variable separable form.

Q: Kato and Marjani are collecting cans of soup for a service project. Kato collected 4 cans of soup.…

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Q: For what values of a will the equation an²t 4x2= I have no solution? Da>y □ a <-4 Daco as-4 □az 4

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Q: Which equation is equivalent to 2x + 10 = 6? es A) 2x 4 B) x +5 = 3 (C) x + 10 = 3 D) 2x + 6 = 10

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Q: The area of a rectangular trampoline is 135 ft. The length of the trampoline is 6 ft greater than…

A:

Q: If 7x – 6y = 2 and -2x – y = 3 are true equations, what would be the value of 7y? 5x -

A: Given equations 7x - 6y = 2  { Let this be equation number (i) } -2x - y = 3   { Let this be…

Q: The length of a rectangular plot of land is 3 times the width. If the perimeter is 2000 feet, find…

A: Given,

Q: Ali is building a rectangular sandbox for his younger brother Muhammad. The length of the sandbox is…

A: According to the problem the sandbox is rectangular shape.  To solve this problem we use  a formula…

Q: Which problem situation can be represented by the equation , 7x + 40 = 60+5x where x represents…

A: Consider the provided equation, 7x+40=60+5x. Find the value of x.

Q: Given the equation y = -6 + 4x, find the value of x if y = 14 Show Your Work

A: Given equation is y = -6+4x we need value of x when y =14  So put y = 14 in above equation.

Q: Lydia and Claudia have the same number of charms in their collections. Lydia started with 6 charms…

A: Image below

Q: Which equation describes the table? A. y=−2/3x−6 B. y=3x−2 C. 3x+2y=−12 D. 5x−2y=−2

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Q: d. tr"-tr'- 3r = 4t %3D solution but DO NOT determine the

A:

Q: Given 2x-y=6, solve for y. A) y=2x+6 B) y=2x-6 C) y=-2×+6 D) y=-2x-6

A: Given: 2x-y=6       To determine: y

Q: The length of the longer leg of a right triangle is 3 cm more than three times the length of the…

A:

Q: Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B…

A: First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y=…

Q: (6],[X]=[4],

A: [6]10 [x]10=[4]10   Implies, [x]10 = [4]10  or [9]10

Q: When three pens and four erasers were purchased, the cost was $21.25. When two pens and two erasers…

A: Sol :- 1)   3 pens &amp; 4 eraser were purchased cost $ 21.25       2 pens &amp; 2 eraser were…

Q: We Do Find the values of x and y. R 54 20 3y 2x

A: The given figure is parallelogram. Then opposite sides are equal. Opposite angles are equal.

Q: A baker uses the equation y = 3,5x to find the number of cups, y. of milk he needs to make a number,…

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Q: The answer says that two of the equations would be x+2y≥80 and 3x+2y≥140. My question would be why…

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Q: Solve by the method of your choice. 8x-3y=6 3x+y=15

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Q: Cormac is making 32 phone calls each week as part of a fundraiser. Last week, he made 9 phone calls…

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Q: which of the follwoing is a solution to the equation x^2 +24=14-x^2

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Q: Simone is trying to flgure out which of the equations below have a solution of 4. Help her decide!…

A: Check the solution of each equation given and finally conclude that which are the answers.

Q: Which situation is represented by the equation? 9x + 90 = 6x + 120 es ) Jake has $90 and Mike has…

A: Given equation is                       9x+90=6x+120

Q: Ben purchases 2 drinks and a popcorn at the movie theater, for a total of $9.50. If x represents the…

A: Let x represent the cost of the drinks  And y represent the cost of the popcorn.

Q: I, AORD, mADRO = 2x, mARDO =* +30 and mAWOR = 5x - 50. Which equation would be used to determine the…

A: Given  m∠DRO = 2xm∠RDO =x +30 m∠WOR = 5x - 50

Q: a. When three pens and four erasers were purchased,the cost was $21.25. When two pens and two…

A: (a) Let x represents the number of pens and y represents the number of erasers. From the given…

Q: Silas took 13 bags of glass to the recycling center. He still has 9 bags of plastic to take to the…

A: The answer is found in step-2

Q: Amy pays $25 to enter a state fair, plus $3 for each ride. Which of the following equations…

A: Given: It is given that, $25 are paid by Amy to enter in state and $3 are paid for each ride. To…

Q: This equation shows how the amount of money left to raise is related to the number of that Trisha…

A:

Q: A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his…

A:

Q: 3. Vickie buys a pack of 30 folders. She keeps 15 for herself and divides the rest between three of…

A: Given: Total number of folders =30 Number of folders Vickie has =15 &amp; rest of folders are…

Q: The equations 5x + 2y = 48 and 3x + 2y 32 represent the money collected from school concert tickets…

A: We use elimination method to solve the problem.

Q: The length of a rectangular plot of land is 3 times the width. If the perimeter is 2000 feet, find…

A: our objective is to find the dimensions

Q: Maggie has $30. She buys 4 CDs that cost $6.50 each. Which equation can she use to find out how much…

A: Per CDs cost is $6.50 So 4CDs total cost is $(4×6.50)

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.