Answer:
- To make half the recipe, we will need 3/8 Parmesan cheese.
Step-by-step explanation:
<u>We know that:</u>
- Cesar Salad = 3/4 Parmesan cheese
To make 1/2 the recipe, we need to change everything in halves.
<u>Work:</u>
- Cesar Salad = 3/4 Parmesan cheese
- => Cesar Salad/2 = 3/4 ÷ 2 Parmesan cheese
- => Cesar Salad/2 = 3/4 x 1/2 Parmesan cheese
- => <u>Cesar Salad/2 = 3/8 Parmesan cheese</u>
Hence, to make half the recipe, we will need 3/8 Parmesan cheese.
Answer: written below
Step-by-step explanation:
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles
60 minutes+30 minutes= 90 minutes or 1 1/2hours
Answer:
<em>183</em>
Step-by-step explanation:
The answer above is correct, but I do want to elaborate on how to receive this answer;
This pattern takes an alternate of positive and negative numbers at a time. If you can see for each positive number, there is a negative consecutively. Imagine these values were all positive. What would then be the difference between each? 3 * 3 = 9, 9 * 3 = 27, 27 * 3 = 81, and so each number would be 3 times the other. Now let us go back to the state we have at hand, negative and positive numbers. 81 * 3 = 243, and as we alternate between negative and positive numbers, 243 should be positive as the previous number - 81, is negative. We have now received our 5th term!
The questions asks us to determine the sum of each of the terms however, so let us do so;

Hope that helps as well!
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>

Simplify:

×5 on both sides:

Expand:

Bring constants to 1 side, w terms to the other:

Simplify:

Divide both sides by 3:

<u>Method 2:</u>

Multiply by 5 throughout:

Expand:

Simplify:

+9 on both sides:

-4w on both sides:

Simplify:

Divide by 3 on both sides:

3. 
Multiply by 3x on both sides:

Expand:

Simplify:

Divide by 6 on both sides:

-9 on both sides:

Factorise:
*Since a²-b²= (a +b)(a -b),

Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3