The total cereal mixture is 45 kilograms
<em><u>Solution:</u></em>
Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7
Therefore,
Almond : Wheat : Corn = 3 : 5 : 7
Let the almond present be 3x
Let the wheat present be 5x
Let the corn present be 7x
Therefore,
Total cereal mixture = 3x + 5x + 7x
Total cereal mixture = 15x
<em><u>Given that mixture contains 9 kg of almond</u></em>
Almond = 9
We know that,
Almond present = 3x
3x = 9
x = 3
Therefore,
Total cereal mixture = 15x = 15(3) = 45
Thus total cereal mixture is 45 kilograms
Part A Answer: Company A: (Wx6)+12 Company B: (Wx5)+15
The varible used was W because windows start with a W i chose this as the variable because it is for the certain NUMBER of windows.
Part B:Company A: 8x6=48+12=$70 for 8 windows and service charges.
Company B:8x5=40+15=$55 for 8 windows and service charges.
Company B would charge less for 8 windows.
Part C:My work for Company A: 6x6=36+12=$48 for 6 windows and service charges
My work for Company B: 6x5=30+15=$45 for 6 windows + service charges
$48-$45=$3
Answer for Part C: $3 would be saved by using the services of Company B instead if Company A to clean 6 windows.
Answer:
(7, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = 2y + 5
x/3 - y = 4/3
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: (2y + 5)/3 - y = 4/3
- Multiply 3 on both sides: 2y + 5 - 3y = 4
- Combine like terms: -y + 5 = 4
- Isolate <em>y</em> term: -y = -1
- Isolate <em>y</em>: y = 1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define: x = 2y + 5
- Substitute: x = 2(1) + 5
- Multiply: x = 2 + 5
- Add: x = 7
And we have our final answer!
Assuming that there are 8 names that are going to be used for a random order;
First, let's try to figure out how many possible ways the names can be arrange:
=8 choices x 7 choice x 6 choices x 5 ... x 1 choice (if you select person A to go first, they cannot be second as well, so that is why 8 choices is multiplied by 7 instead of 8)
This can also be written as 8!
The specific way that a random set of names is chosen by you and actually chosen is 1. Each name has a specific order, in each term so there can only be one possible way.
Therefore, P(order being chosen)=1/8!
Hope I helped :)
Answer:
b. x= -6 or x=2
Step-by-step explanation:
|2x+ 4| = 8
The absolute value equation has 2 solutions, one positive and one negative
2x+4 = 8 2x+4 = -8
Subtract 4 from each side
2x+4-4 = 8-4 2x+4-4 = -8-4
2x = 4 2x = -12
2x/2 =4/2 2x/2 = -12/2
x =2 x = -6
