Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your 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: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )