Question

Asked Mar 16, 2019

Mary, Carlos, and Ali sent a total of 110 text messages over their cell phones during the weekend. Ali sent 10 fewer messages than Mary. Carlos sent 3 times as many messages as Ali. How many messages did they each send?

Step 1

To solve the word problem by converting to equations for the three unknowns

Step 2

Let M, C and A be the number of messages sent by Mary, Carlos and Ali respectively. Translate the given data into equations , as shown.

Step 3

It remains to solve the equations by s...

Tagged in

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.

Q: Find all real zeros of the function f (x) = 4x^3 −3x −1

A: Consider the provided function:

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

Q: Determine whether each proportion is true or false. 27) 8/10 = 2/5/2

A: The given proportion is 8/10=2/5/2.It can be written as 8:10=2:5/2.

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=2

Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,