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Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 23 of the area in 12 hour, how long will it take her to complete the entire picture?(1 point)
of an hour
To solve this problem, we can set up a proportion using the concept of unit rates.
Let's say that the entire rectangular area of her driveway is represented as 1 unit.
Since Charla completes 23% (or 0.23) of the area in 12 hours, we can say that:
0.23 of the area = 12 hours
To find out how long it will take her to complete the entire picture, we can set up a proportion:
0.23/12 = 1/x
Cross-multiplying, we get:
0.23x = 12
Dividing both sides by 0.23, we get:
x = 12/0.23
Calculating this value, we get:
x ≈ 52.17
Therefore, it will take Charla approximately 52.17 hours to complete the entire picture.
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 4 comma 9 right parenthesis, left parenthesis 5 comma 0 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
9
9
−412
negative 4 Start Fraction 1 over 2 End Fraction
−9
negative 9
−19
negative Start Fraction 1 over 9 End Fraction
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To find the slope of a line, we use the formula:
slope = change in y / change in x.
Using the given points (4, 9) and (5, 0), we can calculate the change in y and change in x.
change in y = 0 - 9 = -9
change in x = 5 - 4 = 1
Now, we can substitute these values into the slope formula:
slope = -9 / 1 = -9
Therefore, the slope of the line is -9.
If a graph is proportional, what characteristic does it display?(1 point)
Responses
It will curve.
It will curve.
It will pass through the point (0, 0).
It will pass through the point Left Parenthesis 0 comma 0 Right Parenthesis .
It will climb rapidly, indicating a steep slope.
It will climb rapidly, indicating a steep slope.
It will have y-values larger than their corresponding x-values.
The characteristic that a proportional graph displays is that it will pass through the point (0, 0).
A whale swims 200 miles in 5 days. Identify which equation could be used to find how many miles it swims in 16 days.(1 point)
Responses
y=200×16
y equals 200 times 16
200=16x
200 equals 16 x
y=200×16×5
y equals 200 times 16 times 5
y=40×16
To find how many miles the whale swims in 16 days, we can use the concept of unit rates.
Given that the whale swims 200 miles in 5 days, we can define the unit rate as 200 miles per 5 days, which simplifies to 40 miles per day.
Using this unit rate, we can set up the equation:
y = 40 × 16
Therefore, the equation that could be used to find how many miles the whale swims in 16 days is y = 40 × 16.
The temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F per hour, and in City B the temperature is changing by −3°F per hour. If the temperatures in both cities started at 70°F , which city is warmer, and what is the difference in their temperatures after 5 hours?(1 point)
Responses
City B is warmer by 2°F.
City B is warmer by 2 degrees F .
City A is warmer by 10°F.
City A is warmer by 10 degrees F .
City B is warmer by 10°F.
City B is warmer by 10 degrees F .
City A is warmer by 2°F.