Answer:
D. 3/2p - 5 + 9/4p = 7 - 5/4p
Step-by-step explanation:
We are given the equation;
-16p + 37 = 49 - 21p
We are supposed to identify the equation that has similar solution with the equation given;
- The solution for the equation given is;
-16p + 37 = 49 - 21p
Combining the like terms;
-16p + 21p = 49 - 37
5p = 12
p = 2.4
Solution for the choices given;
A. -14 + 6p = -9 - 6p
6p + 6p = -9 +14
12p = 5
p= 0.417
B. -55 + 12p = 5p + 16
12p - 5p = 16 + 55
7p = 71
p = 10.14
C. 2 + 1.25p = 3.75p + 10
1.25p - 3.75p = 10 - 2
-2.5p = 8
p = -3.2
D. 3/2p - 5 + 9/4p = 7 - 5/4p
3/2p +5/4p +9/4p = 7 + 5
5p =12
p = 2.4
Therefore, the equation that has similar equation with the one given is D. 3/2p - 5 + 9/4p = 7 - 5/4p
Answer:
3100 units of Product Z
Step-by-step explanation:
The ratio is 4 is to 2, that means:
4 + 2 = 6 parts total
Now,
We have to cover the fixed cost of 418,500 from profits, that is SP - VC
Where SP is Selling Price and VC is Variable Cost
Product A:
SP = 75
VC = 35
Profit = 40
Product B:
SP = 95
VC = 40
Profit = 55
So, we can sell "4x" of product A and "2x" of product B, and create the equation:
Now, we solve for x:
The amount of Product Z was taken as "2x", so the quantity of Product Z would be:
2(1550) = <u>3100 units of Product Z</u>
X=4
Because when you add 3 and four it equals 7
First you multiply 10 x 4 and get the answer 40
So 30 + 40= 70
Hope this helps!
Answer:
• discriminant: 73
• # of real solutions: 2
Step-by-step explanation:
Comparing the equation ...
2x^2 -9x +1 = 0
to the generic form ...
ax^2 +bx +c = 0
we find the coefficient values to be ...
a = 2; b = -9; c = 1
That makes the value of the discriminant, (b^2 -4ac), be ...
(-9)^2 -4(2)(1) = 81 -8 = 73
Since the discriminant is positive, the number of real solutions is 2.