Answer:
7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Step-by-step explanation:
- Let the number of tomatoes=t
- Let the number of cucumber planted=c
- Let the number of zucchini planted=z
- Total Number of Plants=43
She planted twice as many cucumbers as zucchini, this is written as:
She also planted eight more tomatoes than cucumbers, this is written as:
In total, she planted 43 plants
Therefore:
z+(2z)+(2z+8)=43
5z+8=43
5z=43-8
5z=35
Divide both sides by 5
z=7
Number of Cucumbers, c=2z=2 X 7 =14
Number of Tomatoes, t=c+8=14+8=22
Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Answer:
(5, -5)
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- <u>
</u>Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - 3y = 25
5x + 3y = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine two equations: 7x = 35
- [Division Property of Equality] Divide 7 on both sides: x = 5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: 2(5) - 3y = 25
- Multiply: 10 - 3y = 25
- [Subtraction Property of Equality] Subtract 10 on both sides: -3y = 15
- [Division Property of Equality] Divide -3 on both sides: y = -5
The rate that’s not a unit rate is B.
<u>The graph shown is the second derivative</u>
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
<u>Thus the first derivative f(2) equals</u> 
- c: represents the initial position
<u>However there is an inital position for the first derivative</u> ⇒ f(0) = 2.5
<u>Therefore we must add the initial position to the first derivative found</u>
<u>f(2) = 8 + 2.5 = 10.5</u>
Hope that helps!
Rewrite the equations;
m+4n=8
m-n=-2
Eliminating m gives;
5n=10
n=2
Replacing for n in the first equation;
m+4(2)=8
m=8
Answer;
(0, 2)
