We can write the inequality as:
$42 + 4x \leq 50$
where x is the number of gigabytes Zendaya can use while staying within her budget.
Simplifying the inequality, we have:
$4x \leq 8$
Dividing both sides of the inequality by 4, we get:
$x \leq 2$
Therefore, Zendaya can use a maximum of 2 gigabytes while staying within her budget.
Under her cell phone plan, Zendaya pays a flat cost of $42 per month and $4 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Zendaya can use while staying within her budget.
19 answers
Explain more precisely
To write an inequality that represents the number of gigabytes Zendaya can use while staying within her budget, we need to consider the total cost of her cell phone bill.
Zendaya pays a flat cost of $42 per month, regardless of how many gigabytes she uses. Additionally, she pays $4 per gigabyte she uses. We want to find the maximum number of gigabytes, denoted by x, that Zendaya can use while still keeping her bill under $50 per month.
The total cost of Zendaya's bill includes both the flat cost of $42 and the additional cost for the gigabytes she uses. Thus, the total cost can be expressed as $42 + $4x.
To ensure Zendaya stays within her budget, the total cost of her bill must be less than or equal to $50. Therefore, we can write the inequality:
$42 + 4x ≤ 50
This inequality states that the sum of the flat cost ($42) and the additional cost for the gigabytes ($4x) must be less than or equal to $50.
To solve the inequality, we can subtract $42 from both sides:
4x ≤ 8
Then, dividing both sides by 4:
x ≤ 2
Therefore, the maximum number of gigabytes Zendaya can use while staying within her budget is 2.
Zendaya pays a flat cost of $42 per month, regardless of how many gigabytes she uses. Additionally, she pays $4 per gigabyte she uses. We want to find the maximum number of gigabytes, denoted by x, that Zendaya can use while still keeping her bill under $50 per month.
The total cost of Zendaya's bill includes both the flat cost of $42 and the additional cost for the gigabytes she uses. Thus, the total cost can be expressed as $42 + $4x.
To ensure Zendaya stays within her budget, the total cost of her bill must be less than or equal to $50. Therefore, we can write the inequality:
$42 + 4x ≤ 50
This inequality states that the sum of the flat cost ($42) and the additional cost for the gigabytes ($4x) must be less than or equal to $50.
To solve the inequality, we can subtract $42 from both sides:
4x ≤ 8
Then, dividing both sides by 4:
x ≤ 2
Therefore, the maximum number of gigabytes Zendaya can use while staying within her budget is 2.
you are wrong
Apologies for the mistake. Let's reassess the situation.
Zendaya pays a flat cost of $42 per month and an additional cost of $4 per gigabyte she uses. The total cost of her bill, denoted as C, can be expressed as:
C = $42 + $4x
where x is the number of gigabytes Zendaya can use.
We want to find the maximum value of x that keeps her bill under $50 per month. Thus, we can set up the inequality:
C ≤ $50
Substituting the expression for C, we have:
$42 + $4x ≤ $50
To solve this inequality, we can subtract $42 from both sides:
$4x ≤ $8
Finally, we divide both sides by $4:
x ≤ 2
Therefore, the number of gigabytes Zendaya can use while staying within her budget is 2 or fewer.
Zendaya pays a flat cost of $42 per month and an additional cost of $4 per gigabyte she uses. The total cost of her bill, denoted as C, can be expressed as:
C = $42 + $4x
where x is the number of gigabytes Zendaya can use.
We want to find the maximum value of x that keeps her bill under $50 per month. Thus, we can set up the inequality:
C ≤ $50
Substituting the expression for C, we have:
$42 + $4x ≤ $50
To solve this inequality, we can subtract $42 from both sides:
$4x ≤ $8
Finally, we divide both sides by $4:
x ≤ 2
Therefore, the number of gigabytes Zendaya can use while staying within her budget is 2 or fewer.
Liam has a points card for a movie theater.
He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.
He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.
We can write the inequality as:
50 + 12.5x ≥ 160
where x is the number of visits Liam can make to earn his first free movie ticket.
Simplifying the inequality, we have:
12.5x ≥ 110
Dividing both sides of the inequality by 12.5, we get:
x ≥ 8.8
Since the number of visits must be a whole number, Liam can make at least 9 visits to earn his first free movie ticket.
50 + 12.5x ≥ 160
where x is the number of visits Liam can make to earn his first free movie ticket.
Simplifying the inequality, we have:
12.5x ≥ 110
Dividing both sides of the inequality by 12.5, we get:
x ≥ 8.8
Since the number of visits must be a whole number, Liam can make at least 9 visits to earn his first free movie ticket.
the inequality is inaccurate.
Apologies for the mistake. Let's reassess the situation.
Liam receives 50 rewards points just for signing up and earns 12.5 points for each visit to the movie theater. He needs at least 160 points for a free movie ticket.
To determine the number of visits, denoted as x, Liam can make to earn his first free movie ticket, we can set up the inequality:
50 + 12.5x ≥ 160
This inequality states that the sum of the initial rewards points (50) and the earned points from the visits (12.5x) must be greater than or equal to 160.
To solve this inequality, we can subtract 50 from both sides:
12.5x ≥ 110
Then, dividing both sides by 12.5:
x ≥ 8.8
However, since the number of visits must be a whole number, we round up to the nearest whole number.
Thus, Liam can make a minimum of 9 visits to earn his first free movie ticket.
Liam receives 50 rewards points just for signing up and earns 12.5 points for each visit to the movie theater. He needs at least 160 points for a free movie ticket.
To determine the number of visits, denoted as x, Liam can make to earn his first free movie ticket, we can set up the inequality:
50 + 12.5x ≥ 160
This inequality states that the sum of the initial rewards points (50) and the earned points from the visits (12.5x) must be greater than or equal to 160.
To solve this inequality, we can subtract 50 from both sides:
12.5x ≥ 110
Then, dividing both sides by 12.5:
x ≥ 8.8
However, since the number of visits must be a whole number, we round up to the nearest whole number.
Thus, Liam can make a minimum of 9 visits to earn his first free movie ticket.
Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Liam can use while staying within his budget.
We can write the inequality as:
$69.50 + $5x ≤ $90
where x is the number of gigabytes Liam can use while staying within his budget.
To solve this inequality, we can start by subtracting $69.50 from both sides:
$5x ≤ $90 - $69.50
$5x ≤ $20.50
Next, we divide both sides by $5 to isolate x:
x ≤ $20.50 / $5
x ≤ 4.1
Since the number of gigabytes must be a whole number, the maximum number of gigabytes Liam can use while staying within his budget is 4.
$69.50 + $5x ≤ $90
where x is the number of gigabytes Liam can use while staying within his budget.
To solve this inequality, we can start by subtracting $69.50 from both sides:
$5x ≤ $90 - $69.50
$5x ≤ $20.50
Next, we divide both sides by $5 to isolate x:
x ≤ $20.50 / $5
x ≤ 4.1
Since the number of gigabytes must be a whole number, the maximum number of gigabytes Liam can use while staying within his budget is 4.
Tristan has a points card for a movie theater.
He receives 25 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs at least 110 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Tristan can make to earn his first free movie ticket.
He receives 25 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs at least 110 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Tristan can make to earn his first free movie ticket.
We can write the inequality as:
25 + 8.5v ≥ 110
where v is the number of visits Tristan can make to earn his first free movie ticket.
Simplifying the inequality, we have:
8.5v ≥ 85
Dividing both sides of the inequality by 8.5, we get:
v ≥ 10
Therefore, Tristan can make a minimum of 10 visits to earn his first free movie ticket.
25 + 8.5v ≥ 110
where v is the number of visits Tristan can make to earn his first free movie ticket.
Simplifying the inequality, we have:
8.5v ≥ 85
Dividing both sides of the inequality by 8.5, we get:
v ≥ 10
Therefore, Tristan can make a minimum of 10 visits to earn his first free movie ticket.
A rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. Tyee wants to rent a car, knowing that:
He plans to drive 175 miles.
He has at most $210 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Tyee can afford to rent while staying within his budget.
He plans to drive 175 miles.
He has at most $210 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Tyee can afford to rent while staying within his budget.
Let x be the number of days Tyee can afford to rent the car while staying within his budget.
The total cost of renting the car for x days can be calculated by multiplying the daily rate ($74.90) by the number of days (x) and adding the cost per mile ($0.13) multiplied by the number of miles driven (175). This can be expressed as:
Total Cost = 74.90x + 0.13 * 175
We want to find the maximum value of x that keeps the total cost within Tyee's budget of $210. Therefore, we can set up the inequality:
Total Cost ≤ 210
Substituting the expression for the total cost, we have:
74.90x + 0.13 * 175 ≤ 210
To solve this inequality, we can simplify it by performing the calculations:
74.90x + 22.75 ≤ 210
Next, we can subtract 22.75 from both sides of the inequality:
74.90x ≤ 187.25
Finally, divide both sides by 74.90 to solve for x:
x ≤ 2.495
Since the number of rental days must be a whole number, Tyee can afford to rent the car for a maximum of 2 days in order to stay within his budget.
The total cost of renting the car for x days can be calculated by multiplying the daily rate ($74.90) by the number of days (x) and adding the cost per mile ($0.13) multiplied by the number of miles driven (175). This can be expressed as:
Total Cost = 74.90x + 0.13 * 175
We want to find the maximum value of x that keeps the total cost within Tyee's budget of $210. Therefore, we can set up the inequality:
Total Cost ≤ 210
Substituting the expression for the total cost, we have:
74.90x + 0.13 * 175 ≤ 210
To solve this inequality, we can simplify it by performing the calculations:
74.90x + 22.75 ≤ 210
Next, we can subtract 22.75 from both sides of the inequality:
74.90x ≤ 187.25
Finally, divide both sides by 74.90 to solve for x:
x ≤ 2.495
Since the number of rental days must be a whole number, Tyee can afford to rent the car for a maximum of 2 days in order to stay within his budget.
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25500 kilograms. Other shipments weighing 11400 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 40-kilogram crates that can be loaded into the shipping container.
We can write the inequality as:
40x + 11400 ≤ 25500
where x is the number of 40-kilogram crates that can be loaded into the shipping container.
To solve this inequality, we can start by subtracting 11400 from both sides:
40x ≤ 25500 - 11400
40x ≤ 14100
Next, we divide both sides by 40 to isolate x:
x ≤ 14100 / 40
x ≤ 352.5
Since the number of crates must be a whole number, the maximum number of 40-kilogram crates that can be loaded into the shipping container is 352.
40x + 11400 ≤ 25500
where x is the number of 40-kilogram crates that can be loaded into the shipping container.
To solve this inequality, we can start by subtracting 11400 from both sides:
40x ≤ 25500 - 11400
40x ≤ 14100
Next, we divide both sides by 40 to isolate x:
x ≤ 14100 / 40
x ≤ 352.5
Since the number of crates must be a whole number, the maximum number of 40-kilogram crates that can be loaded into the shipping container is 352.
A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 8300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 120-kilogram crates that can be loaded into the shipping container.
We can write the inequality as:
120x + 8300 ≤ 24500
where x is the number of 120-kilogram crates that can be loaded into the shipping container.
To solve this inequality, we can start by subtracting 8300 from both sides:
120x ≤ 24500 - 8300
120x ≤ 16200
Next, we divide both sides by 120 to isolate x:
x ≤ 16200 / 120
x ≤ 135
Since the number of crates must be a whole number, the maximum number of 120-kilogram crates that can be loaded into the shipping container is 135.
120x + 8300 ≤ 24500
where x is the number of 120-kilogram crates that can be loaded into the shipping container.
To solve this inequality, we can start by subtracting 8300 from both sides:
120x ≤ 24500 - 8300
120x ≤ 16200
Next, we divide both sides by 120 to isolate x:
x ≤ 16200 / 120
x ≤ 135
Since the number of crates must be a whole number, the maximum number of 120-kilogram crates that can be loaded into the shipping container is 135.
1 answer