Answer:
Choice D
Step-by-step explanation:
(n+5)
3+5=8
2+5=7
5+5=10
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.
Answer:
B. ![165](https://tex.z-dn.net/?f=165%3C189-0.5w%5Cleq%20185)
Step-by-step explanation:
Let w represent the number of weeks.
We have been given that a wrestler currently weighs 189 pounds and is losing 0.5 of a pound per week. So the weight lost by wrestler in w weeks would be
.
The total weight of wrestler after w weeks would be:
![189-0.5w](https://tex.z-dn.net/?f=189-0.5w)
We are also told that the wrestler needs to weigh more than 165 pounds but less than or equal to 185 pounds. This means that total weight of wrestler should be less than or equal to 185 pounds and greater than 165 pounds.
We can represent this information in an inequality as:
![165](https://tex.z-dn.net/?f=165%3C189-0.5w%5Cleq%20185)
Therefore, option B is the correct choice.
x(3x - 2) = (3x + 1)(x - 2)
3x^2 - 2x = 3x^2 - 6x + x - 2
3x^2 - 2x = 3x^2 - 5x - 2
-2x = -5x - 2
-2x + 5x = -2
3x = -2
x = -2/3
hope this helped xx
5/3 divide by 3 would be 5/9 so your answer would be C) 5/9.
5/3 * 1/3
5 * 1 over 3 * 3
5 over 3 * 3
So in total the answer would be C) 5/9.