Answer:
The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch
Step-by-step explanation:
Let
x ----> the number of bags of hardwood mulch sold
y ----> the number of bags of pine bark mulch sold
we know that
A local boys club sold 136 bags of mulch and made a total of $400
so
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
Using a graphing tool
The solution is the point (52,84)
see the attached figure
therefore
The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch
Answer:
L = 10.64°
Step-by-step explanation:
From the given information:
In triangle JKL;
line k = 9.6 cm
line l = 2.7 cm; &
angle J = 43°
we are to find angle L = ???
We can use the sine rule to determine angle L:
i.e
Using Pythagoras rule to find j
i,e
j² = k² + l²
j² = 9.6²+ 2.7²
j² = 92.16 + 7.29
j² = 99.45
j = 9.97
∴
Answer:
(4x - 3)(3x² + 1)
Step-by-step explanation:
Given
12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )
= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term
= (4x - 3)(3x² + 1) ← in factored form
Answer: J
Step-by-step explanation:
x=8, so substitute and Length=12 Width=9
Let's call:
a = price of 1 apple
p = price of 1 peach
The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4
Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42
Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
= 0.68
Therefore, one apple costs
0.68$ and one peach costs
0.42$.
