First, it is to be noted that the variable being used in this item is p. We get the value of 1/3 of p by multiplying 1/3 to p giving us p/3. Then, the word less means to subtract from p/3 the given value. Therefore, the final expression for this item is,
p/3 - 2
A. False
Why? Because you cut off the triangle. The measurements are 20 mm and 10 mm.
B. True
Why? Because 20*10 = 200
C. False
Why? Because the base is 6 since 26 - 20 is 6. The height is 4, not 6 because 10 - 6 is 4.
D. True
Why? Because like question C., the base is 6, and the height is 4. 6*4 is 24/2 = 12. If you don't get this, the formula for all triangles is b*h*1/2
E. True
Why? Because from questions B. and D., the area of the rectangle is 200 and the area of the triangle is 12. 200 + 12 = 210.
Hope this helped,
Loafly
Answer:
k=20.
Explanation: First we find where f(x) has its local extrema: f'(x)=3x2−10x+3. The critical points are roots of the equation: 3x2−10x+3=0.
Part A is $650. Part B is 400+0.05s=1350, and part C is $19,000. For part A, it is $400+ 5% of total sales. So, it would be 400+5% times 5000 (which is the total sales of last week). Turn the 5% into a decimal so 400+0.05 times 5000. Then it would be 400+250, which is 650. For part B, it would be $400 per week and 5% of total sales for that week. This as an equation would be $400+0.05 times s=$1350. We can put 0.05 and the variable s together. So, it would then be 400+0.05s=$1350. This is the equation. For part C, we have to solve the equation in part B. $400+0.05s=$1350. Subtract 400 from 400 and 1350. This now makes the equation 0.05s= $950. Divide both sides by 0.05 and you get 19,000.
Answer:
4y + 8 vegetable seeds
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
We know that Frank has 2 gardens, one with <em>y</em> vegetable seeds and another with 3<em>y</em> + 8 vegetable seeds. If we are trying to find the <em>total</em> amount of seeds planted, we must add the 2 gardens together:
Garden 1: <em>y</em>
Garden 2: 3<em>y</em> + 8
Garden 1 + Garden 2 = Total veggie seeds
<em>y</em> + 3<em>y</em> + 8 = Total veggie seeds
Total veggie seeds = 4y + 8
