Consider the following word problem: The length of a rectangle is 8 yards more than the width. If the perimeter is 108 yards, what are the length and the width? Step 1 of 2:  Use the variables l

Q: A man is given a penny, and he is told that for every night that he sleeps with that penny under his…

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Q: Formulate the following problem as a part of equations, and hence find theirsolution.Ray travels 300…

A: The formula relating speed, distance and time is,

Q: What are the solutions to the following equation? V-2 1 2v2+ 10v 2v + 10

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Q: The sum of a number times  8  and  30  is at most  −29 . Use the variable  c  for the unknown…

A: Given The sum of a number times  8  and  30  is at most  −29 . Use the variable c

Q: 1. The sum of two numbers is 30 and their difference is 12. Find the two numbers.

A: Let the given number be x and y then according to questions

Q: How to solve step by step: (x^2 * y^6 / x^3 * y^2)^-2

A: For division, we subtract the exponents

Q: set up an equation and solve each of the following problems. Suppose that the area of a square lot…

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Q: What are the solutions to the following equation. Y=x X^2+y^2=64

A: Given Two equations are y = x y2 + x2 = 64  Substituting y = x in  y2 + x2 = 64

Q: Solve the following equations (a) 14 + 6V5 2x+1 (b) 2(9*) - 3 - 3 = 0

A: As per the guidelines we can solve the first question or first three subparts. So if you need more…

Q: 36 – 4V3X+ 1 = 24

A: Given,  36-43x+13 = 24  We have to solve and answers graphically,

Q: a certain triangle, the measure of angle A is three times as big as the measure of angle C and the…

A: Given query is to find measure of angle A.

Q: Twice as many students attend City college as the member of students who attend Country college.  If…

A: let the number of students who attend country college = x       so the number of students who attend…

Q: The sum of the digits of a three-digit number is twelve. The sum of the squares of the hundreds'…

A: Here we have to find a three-digit number. We will find a three-digit no. using the conditions given…

Q: Three times a number is two or more than twice the other. If the sum of the numbers is nineteen,…

A: We have to solve given Questions.

Q: if one root of the equation 7x^2+13x+n=0 is reciprocal of the other.what is the value of n

A: Let one root of the given equation be z  and other root is reciprocal the one root.So other root is…

Q: From a train station, one train heads north and another heads east. Some time later, the northbound…

A: Draw the given situation, it forms a right triangle so use Pythagoras theorem to find distance.

Q: right triangle, the measure of one of the acute angles is 5 times as much as the measure of the…

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Q: Write a two-step equation for each word problem. 1. The sum of a number p and seven is divided by…

A: We have to write two-step equation for given word problem Just follows the instruction given in…

Q: Find a general solution of each of the following equations.

A: The given differential equation isy'=-2xy

Q: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second…

A: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second…

Q: The sum of two nonnegative numbers is 20. Find the numbers a. if the product of one number and the…

A: It is given that the sum of two negative number is 20 that is a +b = 20.Then it can be written as b…

Q: What are the solutions to the following equation? 3x +6 1²+4x - 5 - x-3 12+3x-18 -3

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Q: The length of a rectangle is 5 m more than twice the width, and the area of the rectangle is 42 m^2.…

A: Topic - area of rectangle and function

Q: Solve the following equations. 6|x-4+8=20 b. 5|2x-3|> 25 a. с. c. etx+2 – 16 %D C.

A: We are solving the first three subparts and for the remaining subparts post the questionagain and…

Q: The sum of the present ages of Juan, Antonio, and Nancy is 210 years. Thirty-five years ago, the age…

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Q: how would I know what property to use to solve this set of equations?

A: Any property can be used to solve two systems of equations. All of them will give the same result.…

Q: The sum of the digits of a three-digit number is twelve. The sum of the squares of the hundreds'…

A: Let the hundreds' digit be denoted by h, the tens' digit be denoted by t and the units digit be…

Q: The diameter of a snow globe is approximately 15 cm. If the snow globe is to be increased to a…

A: Take ratio of volume in two cases.

Q: Solve the following literal equation for b: 2a - 3b = 4c - 2b O b = -2a + 4c O b = 3a -4c O b = 2a -…

A: Given that,  2a-3b=4c-2b      ........ (1)  Now to find value of b we need to put the term of b in…

Q: the distance from the sun to mercury is approximately 36,270,000 miles. the distance from the sun to…

A: the distance from the sun to mercury is = 36,270,000 miles the distance from the sun to saturn is=…

Q: The perimeter of a triangle is 40 inches. Twice the length of the longest side minus the length of…

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Q: x and y satisfy the following equations, what is the value of x+ y? 4x+ 5= 9 9x+ 1y= 10

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Q: The equation x+(75.3−x)=75.3x+(75.3−x)=75.3 represents the sum of two angles. How many possible…

A: Let x+75.3-x=75.3x+75.3-x Then  75.3-1x=0x=0 Now let x+75.3-x=75.3,  then x=0

Q: How would I got about figuring out the following word problem? Annie has 20 more horses than Betty,…

A: Given, Annie has 20 more horses than Betty  While Connie has 12 more horses than Annie and Betty…

Q: 1. Consider the equations 3(x – 2)(x + 3) = 0 and (2x-4)(3x + 9) = 0. %3D Do they have the same…

A: To solve the above problems

Q: The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second…

A: according to questiony+z=5xandz=y+14we know sum of all angles in a triangle is 180°

Q: The sun of the measures of angle M and angle R is 90 degrees. -The measure of angle M is (5x+10)…

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Q: 3つC 3) - 6D +9)Y

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Set up an equation and solve each of the following problems. If two inlet pipes are both open, they…

A: If two inlet pipes are both open, they can fill a pool in 1 hour and 12 minutes. One of the pipes…

Q: does

A: Please find the answer in next step

Q: Solve each problem. 1. Josh gave of his grapes to Bianca. Bianca gave - of grapes she received to…

A: Let number of grapes Josh originally had be x. Number of grapes Bianaca had=12x Number of grapes…

Q: Solve the following equations to determine the solutions of the unknown variables 17x-12y+14z= 24…

A: To find the solutions to the system of equations, we will use Cramer's rule. Consider the following…

Q: Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row…

A: First of all, use the speed-distance formula to calculate speed of rowing in downstream and…

Q: Find the solutions of the following PDE by separating variables. ди ди ) x- --y- = 0; (b) + = 0

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Q: I. Simplify. Show the solution. 15x°y 2x+2 2. x*+7x+6 x²-9 3. x²+2x-3 1. 30x*y?

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Q: Solve the following equations using Gi 4x - y= 13 x- 2 y = 5

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Q: Given two equations: (1- p)[a – b(q# + 2q1) – G,]+ p[a – 3bq, – G,] = 0 (1– p)[a – 3bq# - CH] + p[a…

A: Consider given equations: 1-pa-b(qH+2qL)-CL+pa-3bqL-CL=0(1-p)a-3bqH-CH+pa-b(2qH+qL)-CH=0 To find qH…

Q: The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other number is…

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Q: · Solve the following equation: (State restrictions) 2x 3 x² – 9 ' x + 3 3

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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.