<u>16 cubes</u> are needed to fill in the prism mad by the net.
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The slope and y-intercept will be the negative 5/2 and 4.
The complete question is attached below.
<h3>What is the equation of line?</h3>
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The equation is given below.
y > -(5/2)x + 4
The slope and y-intercept will be the negative 5/2 and 4.
The graph is also attached below.
More about the equation of line link is given below.
brainly.com/question/21511618
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Using proportions, it is found that the correct option for when the machine will stop running the algorithm is:
B) 9 P.M. on Saturday.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The algorithm runs for 972 hours. Each day has 24 hours, hence we apply the proportion to find the number of days as follows:
972/24 = 40.5 days.
The remainder of the division of 40.5 by 7, as a week has 7 days, is of 5.5, which means that the code will finish running 5.5 days after the 9 A. M. Monday, that is at 9 P. M. on a Saturday, which means that option B is correct.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
1000
Step-by-step explanation:
The 2 angles are vertical angles, which mean they are equal.
Set the two equations to equal and solve for x:
4x + 7 = 5(x-4)
Use distributive property on the right side:
4x + 7 = 5x -20
Add 20 to each side:
4x +27 = 5x
Subtract 4x from each side:
27 = x
X = 27