take the problem
298 Step-by-step explanation:
Answer:B,C and E
Step-by-step explanation:
Set variables for the quantities we want to find. Let x = number of applesLet y = number of oranges Next, we use these variables to write equations that describes the whole story. Since the total price is $7.75 and each type of fruit has their own price, we can say 0.40x + 0.35y = 7.55 The other equation will represent the total number of fruits bought all together, as Mark mentioned. Once you have those equations, you solve the system using substitution and elimination methods to solve for the variables x and y.
Answer:
B is the awnser
Step-by-step explanation:
I just took the etest!!!
20: Let 
be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have
Rearrange the left hand side as
And multiply both sides by 24 to get
21: Let 
and 
be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have
If they both get 9 more marbles, Mike will have 
marbles, and Judy will have 
marbles. So, we have
Plug this value in the first equation and we have
And we deduce
So, the difference is
22: Let 
be the number of $10, $20 and $50 coupon, respectively. We're given:
![\begin{cases}x=2y+3\\z=\frac{1}{2}y\\x+y+z=38\end{cases} We can write the third equation by substituting the expressions for x and z: [tex]x+y+z=(2y+3)+y+\left(\dfrac{1}{2}y\right)=38](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx%3D2y%2B3%5C%5Cz%3D%5Cfrac%7B1%7D%7B2%7Dy%5C%5Cx%2By%2Bz%3D38%5Cend%7Bcases%7D%0A%3C%2Fp%3E%3Cp%3EWe%20can%20write%20the%20third%20equation%20by%20substituting%20the%20expressions%20for%20x%20and%20z%3A%0A%3C%2Fp%3E%3Cp%3E%5Btex%5Dx%2By%2Bz%3D%282y%2B3%29%2By%2B%5Cleft%28%5Cdfrac%7B1%7D%7B2%7Dy%5Cright%29%3D38)
Rearrange as follows:
And now we can deduce the number of the other coupons:
So, the total value is
23: a) In order to find the first three terms of the sequence, you just need to plug n=1,2,3:
b) We have
c) 105 is a term of the sequence if and only if there exists an integer k such that
So, 105 is not a term of the sequence.
