The integer that lies between √30 (approximately 5.48) and 4π/3 (approximately 4.19) is the number '5'.
The question is asking for an integer that lies between the square root of 30 and 4π/3. First, we should approximate these numbers to familiarize ourselves with their value. The square root of 30 is approximately 5.48, and 4π/3 is approximately 4.19.
Looking at these decimal numbers, it becomes clear that the only integer (whole number) that falls between 5.48 and 4.19 is 5. Therefore, the integer that lies between √30 and 4π/3 is '5'.
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Maria got 4 answers wrong as per linear equation.
A linear equation is an equation that has a variable with the highest power of 1. A linear equation may consists of multiple variable. However, the highest power of any variable will be 1.
Given, Maria's math test had 25 questions.
She got 84% correct.
Therefore, she got wrong
= (100 - 84)%
= 16%
Now, the number of questions she got wrong is
= 25 × 16%
= 4
Learn more about linear equation here: brainly.com/question/10047053
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A. Write 45% as a rate per 100 and then reduce the fraction to lowest terms.
B. How many problems was Yolanda assigned? Justify your answer.
C. How many problems does Yolanda still have to do? Show your work.
4x + 1 → C
(f + g)(x) = f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1
All the answers except C has a Vertical Line when graphed. It must pass the Vertical line test in order to be a function.
Vertical Line Test: If you can draw a vertical line anywhere on a graph so that it hits the graph in more than one spot, then the graph is NOT a function.
C.) can pass the test since it's a horizontal line.
Hope this helps!
Answer: 79 ounces = 2 quarts and 15 ounces.
Explanation:
1) The question is: 1 gallon - (1 quart + 1 pint + 1 ounce)
2) To add and subtract those amounts you have to convert all to one same unit.
3) Since the least unit is ounce, I will convert gallon, quart and pint to ounces.
4) Conversion factors:
1 gallon = 4 quart
1 quart = 2 pints
1 pint = 16 ounces
5) Conversions:
i) 1 gallon × 4 quart / gallon × 2 pint / quart × 16 ounce / pint = 128 ounces
ii) 1 quart × 2 pint / quart × 16 ounce / pint = 32 ounces
iii) 1 pint × 16 ounce / pint = 16ounces
4) Subtract:
1 gallon - (1 quart + 1 pint + 1 ounce) = 128 ounces - (32 ounces + 16 ounces + 1 ounce) = 128 ounces - 49 ounces = 79 ounces ← answer
You can convert it to a mixed number in this way:
79 ounces × 1 quart / 32 ounces = 2. 46875 quarts
0.46875 quarts × 32 ounces / quart = 15 ounces
Then, 79 ounces = 2 quarts and 15 ounces.