Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

An animal shelter had 12 fewer cats than their capacity. Then they received 18 stray cats. They need families to adopt some cats right away to get back to their capacity. Which of the following equations matches the situation above? Choose 1 answer: (A) -12-18+?=0 (B) 12-18-?=0 (c) -12+18-?=0

An animal shelter had 1212 fewer cats than their capacity. Then they received 1818 stray cats. They need families to adopt some cats right away to get back to their capacity.\newlineWhich of the following equations matches the situation above?\newlineChoose 11 answer:\newline(A) −12−18+?=0 -12-18+?=0 \newline(B) 12−18−?=0 12-18-?=0 \newline(C) −12+18−?=0 -12+18-?=0

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write two-variable inequalities: word problemsright chevron icon

Full solution

Q. An animal shelter had 1212 fewer cats than their capacity. Then they received 1818 stray cats. They need families to adopt some cats right away to get back to their capacity.\newlineWhich of the following equations matches the situation above?\newlineChoose 11 answer:\newline(A) −12−18+?=0 -12-18+?=0 \newline(B) 12−18−?=0 12-18-?=0 \newline(C) −12+18−?=0 -12+18-?=0
  1. Define Variables: Let's define the variables:\newline- Let CC be the capacity of the shelter.\newline- Let xx be the number of cats that need to be adopted to get back to capacity.\newlineThe shelter had 1212 fewer cats than their capacity, so they had C−12C - 12 cats.
  2. Increase in Cats: Then the shelter received 1818 stray cats, increasing the number of cats to C−12+18C - 12 + 18.
  3. Adoption Equation: Now, to get back to their capacity, some cats need to be adopted. We can represent this as subtracting xx from the current number of cats. The equation representing the situation is C−12+18−x=CC - 12 + 18 - x = C.
  4. Simplify Equation: Simplifying the equation, we combine the constants: −12+18-12 + 18 gives us 66. So the simplified equation is C+6−x=CC + 6 - x = C.
  5. Isolate Variable: Since we want to find out how many cats need to be adopted to get back to capacity, we can subtract CC from both sides of the equation to isolate xx. This gives us 6−x=06 - x = 0.
  6. Match with Choices: Now we can see which of the given choices matches our equation. The correct equation is 6−x=06 - x = 0, which is not listed in the choices. However, if we consider that the shelter needs to adopt out some cats to get back to zero overcapacity, we can rewrite the equation as −12+18−x=0-12 + 18 - x = 0, which matches choice (C).

More problems from Write two-variable inequalities: word problems

Question
Write the following inequality in slope-intercept form.\newline9x+y≥−179x+y \geq -17\newlineWrite your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. \newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Does (2, 1)(2,\,1) make the inequality 2x+15y<202x + 15y < 20 true?\newlineChoices:\newlineyes\newlineno
Get tutor helpright-arrow

Posted 5 months ago

Question
Jack is fixing up his home and must spend less than $4,800\$4,800 to hire carpenters and painters. Carpenters charge $60\$60 per hour and painters charge $32\$32 per hour. \newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of hours of carpentry\newliney=y = the number of hours of painting\newlineChoices:\newline(A) 32x+60y<4,80032x + 60y < 4,800\newline(B) 60x+32y<4,80060x + 32y < 4,800 \newline(C) 32x−60y<4,80032x - 60y < 4,800 \newline(D) 60x−32y<4,80060x - 32y < 4,800
Get tutor helpright-arrow

Posted 5 months ago

Question
Is (2, 10)(2,\, 10) a solution to this system of inequalities?\newliney≥x+10y \geq x + 10\newliney≤9x+5y \leq 9x + 5\newlineChoices:\newline(A) yes\newline(B) no
Get tutor helpright-arrow

Posted 5 months ago

Question
Write the following inequality in slope-intercept form. \newline4x−2y≤84x - 2y \leq 8 \newline Write your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the following inequality in slope-intercept form. \newline−3x+5y>15-3x + 5y > 15 \newline Write your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the following inequality in slope-intercept form. \newline2x+3y<−62x + 3y < -6 \newline Write your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the following inequality in slope-intercept form. \newline−7x−y≥21-7x - y \geq 21 \newline Write your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Get tutor helpright-arrow

Posted 8 months ago

Question
Write the following inequality in slope-intercept form. \newline5x−4y>−205x - 4y > -20 \newline Write your answer with yy first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Get tutor helpright-arrow

Posted 9 months ago

Question
Miyoko's goal is to earn more than (950(950 this week. She earns )250)250 for every day she works as a cryptographer, and earns $180\$180 for every day she works as a geologist.\newlineWrite an inequality that represents the number of days Miyoko should work as a cryptographer CC and as a geologist GG to achieve her goal.
Get tutor helpright-arrow

Posted 10 months ago

View all (97)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant