To add the bushes and trees, to get 19 bushes and 6 trees, but this wouldn't get me anywhere, because I don't have subtotals for the bushes and trees.
So I'll pick variables (b for the number of bushes and t for the number of trees) and set up a system of equations:
first order: 13b + 4t = 487
second order: 6b + 2t = 232
Multiplying the second row by –2, I get:
13b + 4t = 487
–12b – 4t = –464
This says that b = 23.
Back-solving, I get that t = 47.
Of course, the exercise didn't ask for the values of the two variables. Translating back into English, the solution is,
each bush is $23 and each tree is $47.
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Answer:
2
Step-by-step explanation:
what you do is -4(2)^-2 which is -1
then you do 3(5)^0 which is 3
then you add it together and it is 2
Answer:
a) Is it possible for Fred to accomplish this? Yes
b) If it is possible, what score does he need in his next game? 293
Step-by-step explanation:
Step 1
Let us represent the number of games Fred bowled to get an average of 177 = X
His total points scored in that game would be
177 × X
= 177X
To achieve an average of 178 for his next game,
The total number of points he scored was 199, hence that is represented as:
178 = 177X + 199/ X + 1
178(X + 1) = 177X + 199
178X + 178 = 177X + 199
178X - 177X = 199 - 178
X = 21
Hence, Fred bowled 21 games to achieve an average of 178
Therefore, the score he needs to have on the 23rd game is obtained as:
= (23 × 183) - (22 × 178) = 4209 - 3916 = 293
Therefore, it is possible for Fred to raise his average from 178 to 183 in a single game, but he must bowl 293 in his next game to do this.
Answer:
x=29
Step-by-step explanation:
3x-13=74
We want to solve for x, so we need to isolate it.
The first step is to add 13 to each side.
3x-13+13=74+13
3x = 87
Then we divide by 3 on each side
3x/3 = 87/3
x= 29
Im pretty sure its 4,771 but id double check with a calculator
