Answer: 2
Step-by-step explanation:
All you need to do is plug in 3 for x
2(3)-4
6-4
=2
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!
1. Ratio between onions and tomatoes:
There are 3 onions and 4 carrots.
Therefore, required ratio is 3:4
2. Ratio between tomatoes to cups of chicken stock:
There are 6 tomatoes and 5 cups of chicken stock.
Hence, the required ratio is 6:5.
3. Sticks of butter to bananas:
There are 1 stick of butter and 2 bananas.
So, the required ratio is 1 to 2.
4. Teaspoons of salt to teaspoons of black pepper:
There are 2 teaspoons of salt and 1 teaspoon of black pepper.
Please refer attached figure.
5. Let's calculate the ratio of cups of chocolate chips to tomatoes.
There are 3 cups of chocolate chips and 6 tomatoes.
Hence, the required ratio is 3:6 and on simplifying, 1:2.
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
Answer:
The correct answer is 15 cm.
Step-by-step explanation:
Let the width of the required poster be a cm.
We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.
Similarly total margin combining both the sides is (4+4=) 8 cm.
So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } 
This area is equal to 125
as per as the given problem.
∴ (a - 10) × (a - 8) = 125
⇒
- 18 a +80 -125 =0
⇒
- 18 a -45 = 0
⇒ (a-15) (a-3) = 0
By law of trichotomy the possible values of a are 15 and 3.
But a=3 is absurd as a
4.
Thus the required answer is 15 cm.