Answer: A
Step-by-step explanation:
Focus on what it is saying. It is saying that 5x IS LESS THAN OR EQUAL TO 15.
So we are looking for smaller numbers, that is, values of x, in order to make this statement true.
So on a number line we are looking for the left part shaded in.
Furthermore... notice that the sign has "or equal to". Thus the circle is going to be shaded in. The circle is not going to be open and empty. Through this we have eliminated answers B and C.
So the answer is A because— remember— the left side of the number line is shaded. It encompasses negative numbers. A negative number times 5 will definitely be less than 15.
Answer:
B:31.5
Step-by-step explanation:
Find areas of both rectangles by multiplying the 2 given values (12 & 15)
Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)
Take both values and add them over 2
Receive the answer 4.5
Add that to the rectangle values for an answer of 31.5
Hope this helps
Have a good day
Answer:
Hence x = -1 and y = 18
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Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
Hence x = -1 and y = 18
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Answer:
d
Step-by-step explanation:
(7,1)
Answer:
The volume of the sphere is 288π in³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius
V = ⁴⁄₃πr³
V = ⁴⁄₃ * π * (6in)³
V = π * ⁴⁄₃ * 216 in³
V = 288π in³
The volume of the sphere is 288π in³
