Solutions
<span>Ivy has 4 tiles with pictures of plants and 5 tiles with pictures of animals. Ivy keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns another over tile without looking. What is the probability that the second tile that Ivy turns over has a plant on it. To solve the problem the first step is to find out how many tiles are in total. Since one of the plant tiles were removed we have 3 left.
</span>
5 + 3 = 8
Now we find the percent by dividing 3 from 8. The top number is called the NUMERATOR<span> and the bottom number is called the </span>DENOMINATOR<span>.</span>
3 ÷ 8 = 0.375
0.375 x 100 = 37.5
Answer = <span>37.5%
</span>
= (A)
donuts and cream puffs were 45 & 4 respectively !
<u>Step-by-step explanation:</u>
Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:
Let number of donuts and cream puffs are x & y respectively ! So ,
- twice the number of donuts was only 6 less than 24 times the number of cream puffs
According to this statement equation is :
⇒ ![2x=24y-6](https://tex.z-dn.net/?f=2x%3D24y-6)
⇒
................(1)
- 10 times the number of cream puffs was only 5 less than the number of donuts
According to this statement equation is :
⇒ ![10y= x-5](https://tex.z-dn.net/?f=10y%3D%20x-5)
⇒
................(2)
Equation (1) & (2) :
⇒ ![12y-3=10y+5](https://tex.z-dn.net/?f=12y-3%3D10y%2B5)
⇒ ![2y=8](https://tex.z-dn.net/?f=2y%3D8)
⇒ ![y=4](https://tex.z-dn.net/?f=y%3D4)
Putting
in
:
⇒ ![x = 12(4)-3](https://tex.z-dn.net/?f=x%20%3D%2012%284%29-3)
⇒ ![x = 45](https://tex.z-dn.net/?f=x%20%3D%2045)
Therefore , donuts and cream puffs were 45 & 4 respectively !
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem
![Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16](https://tex.z-dn.net/?f=Hyp%5E2%3DOpp%5E2%2BAdj%5E2%5C%5C20%5E2%3D12%5E2%2BAdj%5E2%5C%5CAdj%5E2%3D400-144%5C%5CAdj%5E2%3D256%5C%5CAdj%3D%5Csqrt%7B256%7D%3D16)
The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.
Fifth root of x is x^1/5 as an exponential expression. . This to the 7th power is
x ^(1/5 * 7) which is x^(7/5). Bringing this to the third power is x^ (21/5) which is your answer.
The "product" of two numbers means you multiply them.
So, you are multiplying (8-n), where n = "a number," by 7.
Then, when you decrease (subtract) this product by 5, you get 40.
So the whole thing looks like
7(8-n) - 5 = 40.