Answer:
B - 11 > (w - 4)²
C - y < 3⁴
D - 5 + 9 < 5 · 9
are your correct answers
Step-by-step explanation:
x² - 5x + 6 and z + 11 / 2z - 1 are equalities phrases and rest of them will be inequalities.
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Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
Answer:
405 Problems
Step-by-step explanation:
- One student in class has 15 problems.
- There are 27 students in the class.
Let's <u>multiply</u> 15 by 27.
<em>In all, there would be 405 problems assigned to the whole class.</em>
Since 5/3 is an inproper fraction it then becomes 1 2/3 and if you put both of the fractions into a common denominator you get 1 16/24>15/24
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Assuming they mean the fraction is 24/30 the answer is 0.8 (24÷30 is the equation to use)
