To solve for x, we need to rearrange the equation.
Starting with the equation: (-4/3)(x - 6) = -26
First, we can multiply both sides of the equation by (-3/4) to isolate x.
-3/4 * (-4/3)(x - 6) = -3/4 * -26
(x - 6) = 3(-26)/4
Simplifying the right side of the equation, we have:
(x - 6) = -78/4
Now, we can add 6 to both sides of the equation to solve for x:
(x - 6) + 6 = -78/4 + 6
x = -78/4 + 24/4
x = -54/4
Simplifying further, we have:
x = -27/2
Therefore, the solution to the equation is x = -27/2 or -13.5. None of the provided answer options match this result, so there doesn't appear to be a correct solution among the given options.
Solve for x: (5 points)
negative 4 over 3, multiplied by x minus 6 equals negative 26
−27
−15
15
27
11 answers
Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $8. Which inequality represents the number of t-shirts she can purchase?
x ≥ 5
x ≤ 5
x ≤ 11
x ≥ 11
x ≥ 5
x ≤ 5
x ≤ 11
x ≥ 11
To determine the number of t-shirts Kylie can purchase, we can subtract the cost of the jeans ($30) from the total amount of money she has ($70) and divide the remaining amount by the cost of each t-shirt ($8).
Let x be the number of t-shirts she can purchase.
The inequality representing the number of t-shirts she can purchase is:
8x ≤ 70 - 30
8x ≤ 40
Dividing both sides of the inequality by 8 gives:
x ≤ 40/8
x ≤ 5
Therefore, the correct inequality representing the number of t-shirts she can purchase is x ≤ 5.
Let x be the number of t-shirts she can purchase.
The inequality representing the number of t-shirts she can purchase is:
8x ≤ 70 - 30
8x ≤ 40
Dividing both sides of the inequality by 8 gives:
x ≤ 40/8
x ≤ 5
Therefore, the correct inequality representing the number of t-shirts she can purchase is x ≤ 5.
The sum of two numbers is 77. The greater number is 5 more than the smaller number. Which equation can be used to solve for the smaller number? (5 points)
x(x − 5) = 77
x(x + 5) = 77
x − (x + 5) = 77
x + (x + 5) = 77
x(x − 5) = 77
x(x + 5) = 77
x − (x + 5) = 77
x + (x + 5) = 77
Let x be the smaller number.
According to the given information, the greater number is 5 more than the smaller number, so it can be represented as x + 5.
The sum of the two numbers is 77, so we can write the equation as follows:
x + (x + 5) = 77
Simplifying the equation, we have:
2x + 5 = 77
Therefore, the correct equation to solve for the smaller number is x + (x + 5) = 77.
According to the given information, the greater number is 5 more than the smaller number, so it can be represented as x + 5.
The sum of the two numbers is 77, so we can write the equation as follows:
x + (x + 5) = 77
Simplifying the equation, we have:
2x + 5 = 77
Therefore, the correct equation to solve for the smaller number is x + (x + 5) = 77.
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? (5 points)
8 + 9n ≥ 80, so n ≥ 8
8 + 9n ≤ 80, so n ≤ 8
9n ≥ 80 + 8, so n ≥ 9.8
9n ≤ 80 + 8, so n ≤ 9.8
8 + 9n ≥ 80, so n ≥ 8
8 + 9n ≤ 80, so n ≤ 8
9n ≥ 80 + 8, so n ≥ 9.8
9n ≤ 80 + 8, so n ≤ 9.8
To determine the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank, we can set up an inequality.
Gavin currently has $8 saved up, and he plans to work as a babysitter to earn $9 per hour. Therefore, the amount he earns, in dollars, can be represented as 9n, where n is the number of hours he works.
To afford the fish tank, Gavin needs to earn $80. Therefore, the inequality representing this situation is:
8 + 9n ≥ 80
Simplifying the inequality gives:
9n ≥ 72
Dividing both sides of the inequality by 9 gives:
n ≥ 8
Therefore, the correct inequality showing the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank is 8 + 9n ≥ 80, so n ≥ 8.
Gavin currently has $8 saved up, and he plans to work as a babysitter to earn $9 per hour. Therefore, the amount he earns, in dollars, can be represented as 9n, where n is the number of hours he works.
To afford the fish tank, Gavin needs to earn $80. Therefore, the inequality representing this situation is:
8 + 9n ≥ 80
Simplifying the inequality gives:
9n ≥ 72
Dividing both sides of the inequality by 9 gives:
n ≥ 8
Therefore, the correct inequality showing the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank is 8 + 9n ≥ 80, so n ≥ 8.
Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum number of outfits, n, that she should sell? (5 points)
40 + 5n ≤ 70, so n ≤ 6
40 + 5n ≥ 70, so n ≥ 25
40 + 5n ≤ 70, so n ≤ 25
40 + 5n ≥ 70, so n ≥ 6
40 + 5n ≤ 70, so n ≤ 6
40 + 5n ≥ 70, so n ≥ 25
40 + 5n ≤ 70, so n ≤ 25
40 + 5n ≥ 70, so n ≥ 6
Sophia earns $40 per day and an extra $5 for each outfit she sells. Let n represent the number of outfits Sophia sells. Therefore, the amount she earns, in dollars, can be represented as 40 + 5n.
Sophia wants to earn at least $70 per day. Therefore, the inequality representing this situation is:
40 + 5n ≥ 70
Subtracting 40 from both sides of the inequality gives:
5n ≥ 30
Dividing both sides of the inequality by 5 gives:
n ≥ 6
Therefore, the correct inequality showing the minimum number of outfits, n, that Sophia should sell to earn at least $70 per day is 40 + 5n ≥ 70, so n ≥ 6.
Sophia wants to earn at least $70 per day. Therefore, the inequality representing this situation is:
40 + 5n ≥ 70
Subtracting 40 from both sides of the inequality gives:
5n ≥ 30
Dividing both sides of the inequality by 5 gives:
n ≥ 6
Therefore, the correct inequality showing the minimum number of outfits, n, that Sophia should sell to earn at least $70 per day is 40 + 5n ≥ 70, so n ≥ 6.
Pedro wants to buy some shirts over the Internet. Each shirt costs $10.01 and has a shipping cost of $9.94 per order. If Pedro wants to spend no more than $70 for his shirts, which inequality shows the maximum number of shirts, p, that he can buy? (5 points)
9.94 + 10.01p ≤ 70, so p ≤ 6
9.94 − 10.01p ≤ 70, so p ≤ 7
9.94p + 10.01p ≤ 70, so p ≤ 8
9.94p − 10.01p ≤ 70 ≤ 60, so p ≤ 9
9.94 + 10.01p ≤ 70, so p ≤ 6
9.94 − 10.01p ≤ 70, so p ≤ 7
9.94p + 10.01p ≤ 70, so p ≤ 8
9.94p − 10.01p ≤ 70 ≤ 60, so p ≤ 9
Each shirt costs $10.01 and Pedro wants to spend no more than $70 for his shirts. Let p represent the number of shirts Pedro can buy. Therefore, the cost of the shirts, in dollars, can be represented as 10.01p.
Additionally, there is a shipping cost of $9.94 per order, which is independent of the number of shirts. Therefore, the total cost for Pedro to buy p shirts can be represented as 9.94 + 10.01p.
To ensure Pedro spends no more than $70, the inequality representing this situation is:
9.94 + 10.01p ≤ 70
Subtracting 9.94 from both sides of the inequality gives:
10.01p ≤ 60.06
Dividing both sides of the inequality by 10.01 gives:
p ≤ 6
Therefore, the correct inequality showing the maximum number of shirts, p, that Pedro can buy is 9.94 + 10.01p ≤ 70, so p ≤ 6.
Additionally, there is a shipping cost of $9.94 per order, which is independent of the number of shirts. Therefore, the total cost for Pedro to buy p shirts can be represented as 9.94 + 10.01p.
To ensure Pedro spends no more than $70, the inequality representing this situation is:
9.94 + 10.01p ≤ 70
Subtracting 9.94 from both sides of the inequality gives:
10.01p ≤ 60.06
Dividing both sides of the inequality by 10.01 gives:
p ≤ 6
Therefore, the correct inequality showing the maximum number of shirts, p, that Pedro can buy is 9.94 + 10.01p ≤ 70, so p ≤ 6.