Answer:
Yes, if you divide the $63.96 by the 7 pounds you get $9.13
Step-by-step explanation:
Answer:
- 31 pencils
- 38 erasers
- 44 sharpeners
Step-by-step explanation:
The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.
It can be helpful to look at the differences between these numbers:
748 -646 = 102
646 -527 = 119
The difference of these differences is 17, suggesting that will be the number of packets possible.
527 = 17 × 31
646 = 17 × 38
748 = 17 × 44
The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.
There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.
_____
We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.
17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.
Answer:
b
Step-by-step explanation:
2(k-5)+3k=k+6
step 1 distribute the 2 to whats in the parenthesis
2k-10+3k=k+6
step 2 combine any like terms if there are any
5k-10=k+6
step 3 add 10 to each side
5k=k+16
step 4 subtract 1k from each side
4k=16
step 5 divide each side by 4
k=4
<u>Given</u>:
Given that TUV is a right triangle with measure of ∠V=90°
The measure of ∠U = 55°, and the length of VT is 82 feet.
We need to determine the length of TU.
<u>Length of TU:</u>
The length of TU can be determined using the trigonometric ratio.
Thus, we have;
where 
, opp = VT and hyp = TU
Thus, we have;
Substituting the values, we have;
Simplifying, we have;
Thus, the length of TU is 100.1 feet.
Answer:
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 23x) + 12
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 23x) + 12
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-23x+12 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3-3x2-23x+12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -23x+12
Group 2: 2x3-3x2
Pull out from each group separately :
Group 1: (-23x+12) • (1) = (23x-12) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
