Answer:
Step-by-step explanation:
Superfiber ⇒ 5 grams ⇒ x cups
Fiber Oats ⇒ 4 grams ⇒ y cups
<u>The required inequality is:</u>
-(-5 - 6x) = 4 (5x +3)
Pretend that there is a -1 in front of the first bracket
-1(-5-6x)= 4(5x+3)
Mutiply the first bracket by -1
(-1)(-5)(-1)(-6x)= 5+6x
Mutiply the second bracket by 4
(4)(5x)(4)(3)= 20x+12
5+6x= 20x+12
move 20x to the other side
5+6x-20x= 20x-20x+12
5+6x-20x= 12
5-14x= 12
move 5 to the other side
sign changes from +5 to -5.
5-5-14x= 12-5
-14x=7
divide by -14
-14x/-14= 7/-14
x= -1/2
Answer: x= -1/2
Answer:
50 miles
Step-by-step explanation:
This represents a 3-4-5 right triangle, where 3-4-5 is the ratio. Multiply those numbers by 10 to get 30-40-50. 30 and 40 are already in the problem, so 50 is the answer.
282.5 of 10 tickets were sold in the rock concert by the promoter
<h3>How to determine the number of 10 tickets?</h3>
To do this, we make use of the following representations:
- x represents the 10 tickets
- y represents the 15 tickets
- z represents the 20 tickets
The 475 tickets that were sold means that:
x + y + z = 475
The income means that:
10x + 15y + 20z = 6300
Also, we have:
10y = 4z
Divide both sides by 10
y = 0.4z
Substitute y = 0.4z in 10x + 15y + 20z = 6300
10x + 15*0.4z + 20z = 6300
10x + 6z + 20z = 6300
Evaluate the like terms
10x + 26z = 6300
Substitute y = 0.4z in x + y + z = 475
x + 0.4z + z = 475
Evaluate the like terms
x + 1.4z = 475
Make x the subject
x = 475 - 1.4z
Substitute x = 475 - 1.4z in 10x + 26z = 6300
10(475 - 1.4z) + 26z = 6300
Expand
4750 - 14z + 26z = 6400
Evaluate the like terms
12z = 1650
Divide both sides by 12
z = 137.5
Substitute z = 137.5 in x = 475 - 1.4z
x = 475 - 1.4 * 137.5
Evaluate
x = 282.5
Hence, 282.5 of 10 tickets were sold
Read more about system of equations at:
brainly.com/question/14323743
#SPJ1
Answer:
Step-by-step explanation:
Your first step is to figure out how much money each share gets. In other words, what's their cut of the dividend?
Formula
Dividend / share = Total dividend / Total number of shares.
ROI = dividend / Cost * 100
Givens
# shares owned = 50
Total shares issued = 5500
Dividend total = 55000
Cost of 1 share = 75
Note Not all the information is needed.
Solution
dividend / share = 55000 / 5500
dividend / share = 10 dollars.
ROI = 10/75 * 100
ROI = 13.3 %
