The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
Answer:
The shape is a kite and x=26
Step-by-step explanation:
The shape is a kite because the two adjacent sides at the right match and the two sides on the left match
To find x:
125+125=250
360-250=110
(3x-11)+(2x-9)=110
Combine like terms: 5x-20=110
Add 20 to both sides: 5x-20+20=110+20
5x=130
Divide both sides by 5: 5x/5=130/5
x=26
(-4h+2)(3h+7)
= -12h^2 - 28h + 6h +14
= -12h^2 - 22h +14 ;D
18×3=54
3.99×2=7.98
54+7.98+45=106.98
106.98×.085=9.0933
106.98+9.0933=116.0733
rounded to 116.07
answer 116.07
