Step-by-step explanation:
step 1. 12x - 15 - 12x = 7x + 20
step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)
step 3. -15 = 7x + 20 (adding like terms)
step 4. -35 = 7x (subtract 20 from both sides)
step 5. this step is incorrect.
step 6. -5 = x ( divide both sides by 7)
step 7. x = -5 (put the variable first).
Answer:
-the ratio of the number of tacos Jackie made to the number of tacos Marta made
-the ratio of the number of tacos Marta made to the number of tacos Manny made
-the ratio of the number of tacos Manny made to the number of tacos Marta made
-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Step-by-step explanation:
There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!
Answer: 8/9
Step-by-step explanation:
0.8888888 = 8/9
Answer: 0.167
Step-by-step explanation:
This is an applied mathematics question
Resistors in parallel ⁾/R = ¹/₁₂₀ + ¹/₁₂₀ since the resistor is two 120
Therefore , resolve into fraction now yield
¹/R = 1 + 1
-------
120
= 2/120
= ¹/₆₀
Therefore, ¹/R = ¹/₆₀
Cross multiply to get R the resistance
R = 60
From formula, V = IR where I is the current
There fore making I the subject of the formula
I = V/R
= 10/60
= 0.166
= 0.167 A, A = ampere which is the unit of current.
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
