Answer:
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Step-by-step explanation:
The amount of soup the can will hold is equal to the volume of the can.
Volume of the can = base area × height
Given;
Base Area = 5π inches squared
height = 10 inches
Volume of can = 5π × 10 = 50π inches cubed
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Let the number of extra points on a touchline scored by Logan on the match be x and the number of field goals scored by Logan be y, then the ineaquality representing the situation wher Logan beats the record number of points scored by a kicker in a single match of 24 is given by:
x + 3y > 24
The graph is attached
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
Answer: The value is -6
Step-by-step explanation:
4 - 7(-2) = 18
18 + 5 = 23, so that is correct
If x = -2, then 3(-2) is -6
Answer:
Step-by-step explanation:
Let
y -----> gallons of water remaining in the barrel
x-----> number of minutes elapsed
we know that
Water leaks out of the barrel at a rate of 1 gallon every 10 minutes
so

The linear equation that represent this situation is
The graph in the attached figure