Answer:
<h2>(2a − 5 + b) · 5</h2><h2>10×(a − 2.5 + 0.5b)</h2><h2>(−2a + 5 − b) ⋅ (−5)</h2>
Step-by-step explanation:
Answer:
Step-by-step explanation:
Pineapple:Sparkling water
3:2
A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.
B: 3 times as much punch, basically multiply by 3
3(3):2(3)
9:6 pineapple:water
2 (water) = 4 quarts 1=2 quarts
9(2)=18
B: 18 quarts
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
The best interpretation of 2 in the given context is that; 2 represents the total length of fabric in yards purchased when no costumes were made.
<h3>Slope Intercept Form</h3>
We are given the relationship between the number of costumes that Kai made, x, and the total length of fabric that he purchased y, in yards as; y - 5x = 2
Where;
- x is number of costumes made
- y is total length of fabrics purchased.
Now, the general slope intercept form of an equation is given by; y = mx + c
Where c is the y-intercept which is the point where x is zero.
Thus, our equation can be rewritten as;
y = 5x + 2
Comparing with y = mx + c, we can say that c = 2
This means that at x = 0, y = 2.
In conclusion, the value 2 represents the length of yards purchased when no costumes were made.
Read more about slope-intercept form at;brainly.com/question/1884491
If we have two numbers A&B and we know that A times B=0 then it must follow that either A=0, or B=0 (or both)
