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:

Is (2, 7)(2,\,7) a solution to the inequality 3x + 2y > 20 ?\newlineChoices:\newline(A)yes\newline(B)no

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Does (x, y) satisfy the inequality?right chevron icon

Full solution

Q. Is (2, 7)(2,\,7) a solution to the inequality 3x+2y>203x + 2y > 20 ?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values (2,7)(2, 7) into the inequality 3x + 2y > 20. The substituted inequality is 3(2) + 2(7) > 20.
  2. Calculate left side: Calculate the left side of the inequality 3(2)+2(7)3(2) + 2(7). Simplify it to get 6+146 + 14.
  3. Add numbers together: Add the numbers together to get 6+14=206 + 14 = 20.
  4. Determine if inequality is true: The inequality 3(2) + 2(7) > 20 becomes 20 > 20. Now, determine if the point (2,7)(2, 7) makes the inequality 3x + 2y > 20 true. Since 2020 is not greater than 2020, the statement 20 > 20 is false. Therefore, the point (2,7)(2, 7) does not make the inequality 3x + 2y > 20 true.

More problems from Does (x, y) satisfy the inequality?

Question
Consider the following problem:\newlineThe total number of subscribers Zhang Wei has for his video page is changing at a rate of r(t)=21−2t r(t)=21-2 t subscribers per week (where t t is the time in weeks). At time t=8 t=8 weeks, Zhang Wei has 120120 subscribers. How many subscribers does Zhang Wei have by week 2020 ?\newlineWhich expression can we use to solve the problem?\newlineChoose 11 answer:\newline(A) r(20)−r(8)+120 r(20)-r(8)+120 \newline(B) ∫2020r(t)dt \int_{20}^{20} r(t) d t \newline(C) ∫820r(t)dt+120 \int_{8}^{20} r(t) d t+120 \newline(D) r(20) r(20)
Get tutor helpright-arrow

Posted 9 months ago

Question
Anjali was given this problem:\newlineA person stands at a distance of 1212 meters east of an intersection and watches a car driving away from the intersection to the north at 44 meters per second. At a certain instant t0 t_{0} , the car is at distance n(t0) n\left(t_{0}\right) of 99 meters from the intersection. What is the rate of change of the distance d(t) d(t) between the car and the person at that instant?\newlineWhich equation should Anjali use to solve the problem?\newlineChoose 11 answer:\newline(A) tan⁡[d(t)]=n(t)12 \tan [d(t)]=\frac{n(t)}{12} \newline(B) d(t)=12⋅n(t)2 d(t)=\frac{12 \cdot n(t)}{2} \newline(C) d(t)+12+n(t)=180 d(t)+12+n(t)=180 \newline(D) [d(t)]2=122+[n(t)]2 [d(t)]^{2}=12^{2}+[n(t)]^{2}
Get tutor helpright-arrow

Posted 9 months ago

Question
In one kind of chemical reaction, unconverted reactants change into converted reactants.\newlineThe fraction a a of reactants that have been converted increases at a rate proportional to the product of the fraction of converted reactants and the fraction of unconverted reactants.\newlineWhich equation describes this relationship?\newlineChoose 11 answer:\newline(A) dadt=ka1−a \frac{d a}{d t}=\frac{k a}{1-a} \newline(B) dadt=ka(1−a) \frac{d a}{d t}=k a(1-a) \newline(c) dadt=ka(1−a) \frac{d a}{d t}=\frac{k}{a(1-a)} \newline(D) dadt=ka2 \frac{d a}{d t}=k a^{2}
Get tutor helpright-arrow

Posted 9 months ago

Question
Which is the set of integers greater than or equal to 00 and less than or equal to 66?\newlineChoices:\newline(A) ∅\emptyset \newline(B){1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}\newline(C){0,1,2,3,4,5,6}\{0, 1, 2, 3, 4, 5, 6\}\newline(D){1,6}\{1, 6\}
Get tutor helpright-arrow

Posted 8 months ago

Question
The Salem Playhouse wants to make at least $6,800\$6,800 on ticket sales this year. Currently, adults' tickets cost $67\$67 and children's tickets cost $16\$16.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of adults' tickets sold\newliney=y = the number of children's tickets sold\newlineChoices:\newline(A) 67+x+16+y>6,80067 + x + 16 + y > 6,800\newline(B) 67x+16y>6,80067x + 16y > 6,800\newline(C) 67+x+16+y≥6,80067 + x + 16 + y \geq 6,800\newline(D) 67x+16y≥6,80067x + 16y \geq 6,800
Get tutor helpright-arrow

Posted 8 months ago

Question
An event planner is reserving rooms for a company-wide event. Each ballroom can hold 9393 people and each conference room can hold 2323 people, and together they must hold at least the 841841 people participating.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of ballrooms\newliney=y = the number of conference rooms\newlineChoices:\newline(A) 23x−93y≥84123x - 93y \geq 841\newline(B) 93x+23y≥84193x + 23y \geq 841\newline(C) 93x×23y≥84193x \times 23y \geq 841\newline(D) 23x+93y≥84123x + 93y \geq 841
Get tutor helpright-arrow

Posted 8 months ago

Question
Jim is building birdhouses in shop class, and he has a total of 423423 nails on hand. A small birdhouse requires 3434 nails and a large birdhouse requires 4141 nails.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small birdhouses\newliney=y = the number of large birdhouses\newlineChoices:\newline(A) 34x+41y≤42334x + 41y \leq 423\newline(B) 41x×34y≤42341x \times 34y \leq 423\newline(C) 41x+34y≤42341x + 34y \leq 423\newline(D) 34x×41y≤42334x \times 41y \leq 423
Get tutor helpright-arrow

Posted 8 months ago

Question
Craig is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 2 square feet2\,\text{square feet} of space, and a pair of boots occupies 5 square feet5\,\text{square feet}. The total amount of shelving space taken up by all the shoes can be at most 57 square feet57\,\text{square feet}.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of shoes\newliney=y = the number of pairs of boots\newlineChoices:\newline(A) 5x+2y≤575x + 2y \leq 57\newline(B) 2x+5y<572x + 5y < 57\newline(C) 2x+5y≤572x + 5y \leq 57\newline(D) 5x+2y<575x + 2y < 57
Get tutor helpright-arrow

Posted 8 months ago

Question
Sasha is knitting baby items to sell at a craft fair. She has a total of 1,6501,650 yards of yarn to use for the items. A pair of booties uses 198198 yards of yarn and a cap uses 201201 yards apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of pairs of booties Sasha can knit\newliney=y = the number of caps Sasha can knit\newline\newlineChoices:\newline(A) 198x+201y<1,650198x + 201y < 1,650\newline(B) 198x−201y<1,650198x - 201y < 1,650\newline(C) 198x+201y≤1,650198x + 201y \leq 1,650\newline(D) 198x−201y≤1,650198x - 201y \leq 1,650
Get tutor helpright-arrow

Posted 8 months ago

Question
The Middletown High School softball coach is purchasing equipment for her team. She has a budget of at most $770\$770 to purchase bats and softballs. A case of softballs has a price of $38\$38, and a bat has a price of $27\$27. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of cases of softballs y=y = the number of bats\newlineChoices:\newline(A) 38x−27y<77038x - 27y < 770\newline(B) 38x×27y≤77038x \times 27y \leq 770\newline(C) 38x+27y<77038x + 27y < 770\newline(D) 38x+27y≤77038x + 27y \leq 770
Get tutor helpright-arrow

Posted 8 months ago

View all (20)

Related topics

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