Find the slope(s) twice, first the slope of the line connecting (2,4) and (4,8) and then the slope of the line connecting (2,4) and (8,12). If you get different slopes, then it'd be safe for you to conclude that the points do not lie on the same line.
Answer:
107.20 euros.
Step-by-step explanation:
Let the amount she had initially be x euros.
Then we have the equation:
x - 0.40x - 0.35x = 26.80
x - 0.75x = 26.80
0.25x = 25.80
Multiply both sides by 4:-
x = 107.20 euros.
Answer:
<h3> 8 </h3>
Step-by-step explanation:
16 divided by 8 is 2. 40 divided by 8 is 5. Neither of these can be reduced by any more common numbers, so therefore, 8 is your greatest common factor. The GCF of 16 and 40 is 8.
Answer:
Total cost=$25
Step-by-step explanation:
We can derive two expressions as follows;
Total cost for the First shipping company=Medium box charges+total additional charges
where;
Medium box charges=$20
Total additional charges=Charges per pound×number of additional pounds (n)
Total additional charges=1×n=n
replacing;
Total cost for the First shipping company=20+n....equation 1
Total cost for the second shipping company=Medium box charges+total additional charges
where;
Medium box charges=$15
Total additional charges=Charges per pound×number of additional pounds (n)
Total additional charges=2×n=2 n
replacing;
Total cost for the First shipping company=15+2 n....equation 2
Equating equation 1 and equation 2
15+2 n=20+n
2 n-n=20-15
n=5
Replace the value for n in equation 2
Total cost for the First shipping company=15+2 n....equation 2
Total cost=15+(2×5)=$25
<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12
</span>the probability that a crayon from the second box is selected
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
