Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
⇒ 
⇒ 
⇒ 
⇒ 
Number of stars = 
Number of hearts = 
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
⇒ 
⇒ 
How many cakes can be decorated with 60 hearts.
⇒ 
⇒ 
But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.
Answer:
Length = 5 cm, width = 2 cm.
Step-by-step explanation:
If L is the length and W the width we have the equations:
LW = 10 <----- The area.
2L + 2W = 14 <------ The perimeter.
From the first equation L = 10/W so substituting for L in the second equation:
2 * 10/W + 2W = 14
20/W + 2W = 14 Multiplying through by W:
20 + 2W^2 = 14W
2W^2 - 14W + 20 = 0 Dividing by 2:
W^2 - 7W + 10 = 0
(W - 5)(W - 2) = 0
W = 5 or 2.
So W is either 2 or 5 cm.
Substituting W = 2 in LW = 10
L * 2 = 10
L = 5 cm.
The length is longer than the width so the length is 5 cm and the width = 2 cm.
The answer you should have is c That should be able To help you My friend Message if I’m wrong and I’ll fix it for you
Take the linear coefients easy
11,-12, 7
5,12,-7
so
![\left[\begin{array}{ccc}11&-12&7\\5&12&-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%267%5C%5C5%2612%26-7%5Cend%7Barray%7D%5Cright%5D%20)
or you could do also
![\left[\begin{array}{ccc}11&-12\\5&12\end{array}\right] \left[\begin{array}{ccc}7\\-7\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%26-12%5C%5C5%2612%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%5C%5C-7%5Cend%7Barray%7D%5Cright%5D%20)
If it is winter then it is cold inside
