Answer:
Step-by-step explanation:
This is a unit rate problem. If we want to find out how much chocolate was eaten in 1 minute, we divide 31.5 by 7. This gives us the number of ounces of chocolate eaten in 1 minute: 4.5 ounces per minute.
Answer:
- the pattern is (hundreds, tens, ones)
- 963 thousand 104
Step-by-step explanation:
a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.
__
b) The given expanded form adds up to give ...
963,104
Based on the above discussion, the name of this number is ...
"nine hundred sixty-three thousand one hundred four"
Using digits to help write this, it would be 963 thousand 104.
Answer:
Extrapolation
Step-by-step explanation:
Given
Explanatory variable
Response variable
Required
Predicting y outside range of x is called
This is referred to as extrapolation.
Take for instance, the range of x is: 1 - 9
You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.
Answer:
Largest value of x = 7
Smallest value of x = -1
Step-by-step explanation:
To fill in the gaps:
......+(-3x)² = 7 + (-3)²
(.......-3)² = 7 + (-3)²
(.........) = ...4
...... = +4 and ...... = -4
Suppose the chemist uses <em>x</em> mL of the 8% acid solution, and <em>y</em> mL of the 5% solution.
The chemist wants to end up with a 500 mL solution, so
<em>x</em> + <em>y</em> = 500
and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08<em>x</em> mL of acid, and the 5% solution contributes 0.05<em>y</em> mL, so
0.08<em>x</em> + 0.05<em>y</em> = 0.068(<em>x</em> + <em>y</em>) = 0.068 * 500 = 34
Now,
<em>y</em> = 500 - <em>x</em>
0.08<em>x</em> + 0.05(500 - <em>x</em>) = 34
0.08<em>x</em> + 25 - 0.05<em>x</em> = 34
0.03<em>x</em> = 9
<em>x</em> = 300
The chemist must use 300 mL of the 5% solution.