1. expand using place value.
337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Next, we will use exponents:
300,000 = 3 * 10^5
30,000 = 3 * 10^4
7,000 = 7 * 10^3
000 = 0 * 10^2
60 = 6 * 10
0 = 0 * 10^0
then after combing these exponents, we can write the number as:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0
Finally, removing the meaningless zeroes, we would end up with:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10
Answer:
Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
Step-by-step explanation:
A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...
11 × -2 = -22
-22 × -2 = 44
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An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...
11 +16.5 = 27.5
27.5 + 16.5 = 44
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These descriptions match those offered by the students, so both could be correct.
Answer:
y = 2.4
Step-by-step explanation:
If y varies inversely as x, it means there's an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality "k"
Hence,
y~1/x
y=k/x
When y =-6 and x =-2, we insert these values to find the value of the constant "k"
-6 = k/-2
k = 12.
Using this value of k to determine value of y when x =5 becomes:
y = 12/5
y = 2.4
Answer:
Using the slope-intercept form, the slope is 2 .
Answer:
Amount of flour in the bag when Mary began = 
Step-by-step explanation:
Given:
Number of baked loaves of bread made from flour = 4
Number of muffins made from flour = 48
To find: Amount of flour in the bag when Mary began
Solution:
Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.
So,
Amount of flour used to make 4 baked loaves of bread = 4 x
Amount of flour used to make 48 muffins = 48 y
Amount of flour in the bag when Mary began =
