Answer:
-1/128
Step-by-step explanation:
1,-1/2,1/4,-1/8,1/16,-1/32,1/64,-1/128
Answer:
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
Step-by-step explanation:
Given : The expression below represents the number of flyers handed out at the school fair by 14 members of the student council, where x is the number of minutes after the first minute of the fair. Assume that each student council member handed out the same number of flyers throughout the fair.
Expression : 14(22x) + 350
To Find: Interpret the meaning of each term in the expression.
Solution:
14 denotes the number of members
x is the number of minutes after the first minute of the fair
22 denotes each handed out 22 flyers per additional minute of the fair.
denotes each handed out 25 flyers during the first minute of the fair.
So, option A is true .
The first term indicates that the 14 student council members each handed out 22 flyers per additional minute of the fair. The second term indicates that the 14 members each handed out 25 flyers during the first minute of the fair.
Answer:
d. 9 integers
Step-by-step explanation:
Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.
We are to find relatively prime with 28 which are greater than 10 and less than 30
We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30
To be relatively prime with 28, common factors should be only 1.
28 = 2x2x 7. Hence the numbers which do not have factors as 2 or 7 will be relatively prime. Remove all the even numbers from the list.
We have 11,13,15....29.
Of these 21 is the multiple of 7 so remove that.
Thus we have now 11,13,15,17,19,23,25,27,29
9 integers
d. 9 integers
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x.
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>
<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>
<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>
<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>
<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>
<span>And since x + y = 120, that means x = 40. </span>
<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
