30 is the answer because 37.5 square minus 22.5 square gives you 900. Then, you find the square root of 900, which is 30.
Answer:
All convert to terminating decimals.
Step-by-step explanation:
A decimal fraction will terminate if its denominator is a power of 2 or 5 or a product of such powers.
16 is the 4th power of 2, so all fractions that are some multiple of 1/16 will terminate.
Answer:
?
Step-by-step explanation:
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,
⇒ ![4x+3x=140](https://tex.z-dn.net/?f=4x%2B3x%3D140)
⇒ ![7x=140](https://tex.z-dn.net/?f=7x%3D140)
⇒ ![x=\frac{140}{7}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B140%7D%7B7%7D)
⇒ ![x=20](https://tex.z-dn.net/?f=x%3D20)
Number of stars = ![4x =4(20) =80](https://tex.z-dn.net/?f=4x%20%3D4%2820%29%20%3D80)
Number of hearts = ![3x=3(20)=60](https://tex.z-dn.net/?f=3x%3D3%2820%29%3D60)
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
⇒ ![C=\frac{80}{5}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B80%7D%7B5%7D)
⇒ ![C=16](https://tex.z-dn.net/?f=C%3D16)
How many cakes can be decorated with 60 hearts.
⇒ ![C=\frac{60}{4}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B60%7D%7B4%7D)
⇒ ![C=15](https://tex.z-dn.net/?f=C%3D15)
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.