The correct inequality graphed on the number line is option C: x ≤ –7. (option c)
The number line provided appears to have a labeled point at -7 with a shaded circle. To correctly interpret this, we need to understand how points are represented on a number line in inequalities. When a circle is shaded at a specific point on the number line, it indicates that the value at that point is included in the solution set of the inequality. On the other hand, if the circle is left open, it implies that the value at that point is not included in the solution set.
Now, let's consider the four options given:
A. x < –7:
This inequality represents all real numbers to the left of -7 on the number line, excluding -7 itself. Since the circle at -7 is shaded, this option is not correct.
B. x > –7:
This inequality represents all real numbers to the right of -7 on the number line, excluding -7 itself. Since the circle at -7 is shaded, this option is not correct.
C. x ≤ –7:
This inequality represents all real numbers to the left of -7 on the number line, including -7 itself. This option seems to be a possible match, as the circle at -7 is shaded.
D. x ≥ –7:
This inequality represents all real numbers to the right of -7 on the number line, including -7 itself. Since the circle at -7 is shaded, this option is not correct.
This inequality represents all real numbers to the left of or equal to -7, as indicated by the shaded circle at -7 on the number line.
To know more about inequality here
#SPJ2
Answer:
x ≥ –7
explanation:
did some research on the messages above and, voilà
Number of Cupcakes (x) Price (y)
2 $3.50
3 $5.25
4 $7.00
6 $10.50
Katie bought one cupcake from CupCaking and Sarah bought one cupcake from Cake Me. Which of the following are true?
A. Sarah is paying the smaller price of $1.25 per cupcake.
B. Katie is paying the smaller price of $1.50 per cupcake.
C. Katie is paying $0.25 per cupcake more than Sarah.
D. They are paying the same price per cupcake.
E. Sarah is paying $0.25 per cupcake more than Katie.
There can be more than 1 answer
2(10 + 15)
2(2 + 5)
2(20 + 5)
George must run the last 1/2 mile at a speed of 2/3 mile per hour to arrive just as school begins today.
To find the speed George must run the last 1/2 mile in order to arrive just as school begins today, we can start by calculating the time it took for George to walk the first 1/2 mile at a speed of 2 miles per hour. We can use the formula Time = Distance / Speed to calculate the time: Time = (1/2) mile / 2 miles per hour = 1/4 hour = 15 minutes.
We know that George arrives just as school begins, so the total time it takes for him to walk 1 mile is the same as the total time it takes for him to walk the first 1/2 mile at 2 miles per hour, plus the time it takes for him to run the last 1/2 mile at a new speed. Therefore, the total time is 15 minutes + time to run the last 1/2 mile. We can set up the equation: (15 minutes) + (1/2 mile / speed) = 60 minutes (as 60 minutes is one hour). We can then solve for the speed by subtracting 15 minutes from both sides and rearranging the equation:
1/2 mile / speed = 45 minutes = 3/4 hour. Multiplying both sides of the equation by the speed:
(1/2 mile) = (3/4 hour) * speed
speed = (1/2 mile) / (3/4 hour) = (1/2 mile) * (4/3 hour) = (1/2)(4/3) = 2/3 mile per hour.
#SPJ12
Answer:
D m(0.12) = 200
Step-by-step explanation
Answer:
$1666.67
Step-by-step explanation:
200/.12=$1666.67