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Answer:
4(x + 3)(2x − 7)
Step-by-step explanation:
4(x + 3)(2x − 7) = 4(2x² − 7x + 6x − 21)
= 4(2x² − x − 21)
= 8x² − 4x − 84
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Answer:
He have 43 bills of 10 and 13 bills of 5
Step-by-step explanation:
5x + 10y = 495
x + y = 56
Isolate x:
x = 56 - y
Substitute in the first equation:
5(56 - y) +10y = 495
280 -5y +10 y = 495
5y = 495 -280
5y = 215
y = 215/5
y= 43
Now substitute the value of y to find x:
x = 56 - y
x = 56 - 43
x = 13
Answer:
He would pay a total of $21.50
Step-by-step explanation:
A trick that I learned is to take the zeros and decimals off. Then multiply. Ex) 75 × 2 =150. Take away the zero (15) and ad the decimal (1.5)
I'm not the best at explaining but I hope this helps
Answer: 0.9617
Step-by-step explanation:
Given : The proportion of adults use their phones in meetings or classes : p=0.57
Number of adults randomly selected : n= 9
Let x be the random variable that represents the number of adults use their phones in meetings or classes.
By using binomial probability formula, to find the probability of getting success in x trials.
The probability that at least 3 of them use their smartphones in meetings or classes will be :-
Hence, the required probability is 0.9617 .
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
