Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Does the point $(5,\,9)$ satisfy the inequality $13x + 20y < 5$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

View step-by-step help

Does (x, y) satisfy the inequality?

Full solution

Q. Does the point

(5,\,9)

satisfy the inequality

13x + 20y < 5

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(5, 9)$ into the inequality $13x + 20y < 5$ . The substituted inequality is $13(5) + 20(9) < 5$ .
Calculate left side: Calculate the left side of the inequality $13(5) + 20(9)$ . Simplify it to get $65 + 180$ .
Add numbers: Add the numbers $65$ and $180$ to get $245$ . So, the inequality becomes $245 < 5$ .
Determine if point satisfies inequality: Determine if the point $(5, 9)$ makes the inequality $13x + 20y < 5$ true. Since $245$ is not less than $5$ , the statement $245 < 5$ is false. Therefore, the point $(5, 9)$ does not satisfy the inequality $13x + 20y < 5$ .

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

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 2 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 2 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 2 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 2 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 1 month ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 4 months ago