Answer:
15
Step-by-step explanation:
Red : Blue :
3 8
We have 40 blue marbles
Multiply 8 by what to get 40
40/8 =5
So we need to multiply by 5
Red : Blue :
3*5 8*5
15 40
There are 15 red marbles
Answer:
Step-by-step explanation:
Well, since there is no image I thought I would provide what a rectangle would probably look like in your case. The rectangle can be split into half parts 4 ways.
<h2><em><u>Ways it can be Split:</u></em></h2>
1. We can split it the hotdog way, or staright down the rectangle (drawing provided down below)
2. We can split it the Hamburger way, again drawing is provided.
3. We can split it from the top-left corner to the bottom-right, and the opposite way around.
Answer:
$120
Step-by-step explanation:
Let the initial value of bond be $X
The future value of any bond is calculated by formula
FV= PV(1+r)^n
where
- FV is future value of bond
- PV is present value of bond
- r is the rate that at which value of bond appreciate
- n is the number of years of maturity
In the problem given
FV= $146
r = 4% = 0.04 (dividing 4 by 100 we get 0.04)
n = 5
substituting these value in formula
![146 = X(1+0.04)^5\\=> X = 146/1.04^5\\=> X = 120](https://tex.z-dn.net/?f=146%20%3D%20X%281%2B0.04%29%5E5%5C%5C%3D%3E%20X%20%3D%20146%2F1.04%5E5%5C%5C%3D%3E%20X%20%3D%20120)
PV =$X = $120
Hence current value of bond is $120.
Answer:
9 burritos and 18 tacos
Step-by-step explanation:
<u>We can start this problem by assigning a variable to our unknowns.</u>
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
<u>Let's set up an equation.</u>
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
<u>Simplify</u>
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
If you consider that both components are independent one of the other and the assembly consists of a union of both of them, the probability that a random element of the assembly meet specifications can be obtained as the product of their probabilities of meeting their specifications.
therefore the probability mass function of the number of components in the assembly are:
![P_{12}=0.931](https://tex.z-dn.net/?f=P_%7B12%7D%3D0.931)