Two of the fish tanks at the aquarium are leaking. The graph models the linear relationship between the number of gallons in the tank and the time, in hours for the goldfish and the beta fish tanks.
Fish Tank
Gallons in Tank
Time (hours)
Based on the graph, which statement appears to be true?
Responses
A There were less gallons of water in the goldfish tank than the beta fish tanks after 15 hours.There were less gallons of water in the goldfish tank than the beta fish tanks after 15 hours.
B There were more gallons of water in the goldfish tank than the beta fish tanks after 15 hours.There were more gallons of water in the goldfish tank than the beta fish tanks after 15 hours.
C There were 100 gallons of water in both the goldfish and the beta fish tanks after 15 hours. There were 100 gallons of water in both the goldfish and the beta fish tanks after 15 hours.
D There were 15 gallons of water in both the goldfish and the beta fish tanks after 100 hours.
Based on the graph, the statement that appears to be true is option A: "There were less gallons of water in the goldfish tank than the beta fish tanks after 15 hours."
Which graph represents y as a function of x?
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D
C
15 of 2015 of 20 Items
01:40:03
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Question
Hexagon STUVWZ is transformed according to the rule (x, y) →.(x + 8, y – 8) to form hexagon S'T'U'V'W'Z'.
Which statements are true?
(choose two)
Responses
A Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.
B The sum of the angle measures of hexagon S'T'U'V'W'Z' is greater than the sum of the angle measures of hexagon STUVWZ.The sum of the angle measures of hexagon S'T'U'V'W'Z' is greater than the sum of the angle measures of hexagon STUVWZ .
C Hexagon S'T'U'V'W'Z' is congruent to hexagon STUVWZ.Hexagon S'T'U'V'W'Z' is congruent to hexagon STUVWZ .
D The area of hexagon STUVWZ is equal to the area of hexagon S'T'U'V'W'Z'.The area of hexagon STUVWZ is equal to the area of hexagon S'T'U'V'W'Z'.
E Corresponding angles of hexagon S'T'U'V'W'Z' and hexagon STUVWZ are not congruent.
The two true statements are:
A) Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.
E) Corresponding angles of hexagon S'T'U'V'W'Z' and hexagon STUVWZ are not congruent.
Which scatterplot does NOT suggest a linear relationship between x and y?
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D
C
A container used to hold sugar is in the shape of a cylinder with a diameter of 10 inches and a height of 8 inches. Which measurement is closest to the volume of the storage container in cubic inches?
Responses
A 2,513.27 in.³2,513.27 in.³
B 1,256.64 in.³1,256.64 in.³
C 628.32 in.³628.32 in.³
D 314.16 in.³
The volume of a cylinder is calculated using the formula V = π * r^2 * h, where r is the radius and h is the height.
The diameter of the cylinder is 10 inches, so the radius is half of that, which is 5 inches.
Substituting the values into the formula, we get V = 3.14 * 5^2 * 8 = 628.32 in³.
Therefore, the measurement closest to the volume of the storage container is option C: 628.32 in³.
18 of 2018 of 20 Items
01:44:32
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Question
Will the given equation solve the problem? Choose all which will.
Responses
A Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − nProblem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − n
B Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6
C Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −nProblem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −n
D Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25
The equations that will solve the given problems are:
A) Problem: The sum of twice a number and -6 is 9 more than the opposite of the number. Find the number.
Equation: 2n - 6 = 9 - n
B) Problem: Anna drove 450 km in 6 hours. Find her rate of travel.
Equation: 450r = 6
C) Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number.
Equation: 3n + 44 = -n
D) Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection.
Equation: x + 10x = $5.25
So, options A, B, C, and D will solve their respective problems.
The bottom of a ladder must be placed 5 ft. from a wall. The ladder is 12 feet long.
Based on the diagram, what is the distance in feet from the ground that the ladder reaches the wall? Round to the nearest tenth.
Based on the given information, we can see that the ladder forms a right triangle with the ground and the wall.
Using the Pythagorean theorem (a² + b² = c²), where a and b are the lengths of the legs of the triangle and c is the hypotenuse (the length of the ladder), we can find the length of the remaining leg, which is the distance from the ground to the point where the ladder reaches the wall.
We know that one leg (a) is 5 ft (the distance from the wall) and the hypotenuse (c) is 12 ft (the length of the ladder). We can solve for the remaining leg (b):
b² = c² - a²
b² = 12² - 5²
b² = 144 - 25
b² = 119
b ≈ √119
b ≈ 10.91 ft
Therefore, the distance in feet from the ground that the ladder reaches the wall (rounded to the nearest tenth) is approximately 10.9 ft.
20 of 2020 of 20 Items
01:47:29
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Question
Determine if each transformation does or does not preserve congruence and drag it to the appropriate box.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Does Preserve Congruence Does NOT Preserve Congruence
I'm sorry, but you haven't provided any specific transformations for me to analyze. Can you please provide the transformations so I can determine if they preserve congruence or not?
rotation reflection translation dilation
Here is the analysis for each transformation:
Rotation: Does Preserve Congruence
Reflection: Does Preserve Congruence
Translation: Does Preserve Congruence
Dilation: Does NOT Preserve Congruence
Please let me know if you need any further assistance.