You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20 ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4 ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
To start to solve this problem, we need to know what vertex form is. The vertex form of a parabola is. The vertex form of a parabola is a(x-h) + k, where k is the vertical shift, h is the horizontal shift, and a is the value that tells the stretch.
To start to solve this equation, we want to start to create a difference of two squares.
y = 2(x²+x) We do this step to make the x² have a coefficient of 1
Now, we want to complete the square. To complete the square, we take 1/2 of the coefficient of x, and then square that.
1/2 * 1/2 = 1/4, and 1/4²=1/16
That means that we need to add 1/16 inside and outside the parenthesis.
We get:
y = 2(x²+1/2x + 1/16) - 1/16*2
We do -1/16*2 on the outside because since we added it inside the parenthesis, we need to take it away somewhere else (if that makes sense). The two is there because there is a two in front of the parenthesis.
We get:
y = 2(x+1/4)² - 1/8, by completing the square and simplifying, and this is the final answer.
Answer:
35 degrees
Step-by-step explanation:
90 degrees (right angle) - 55 degrees = 35 degrees
Answer:
Ralph had 600 tomato plants in the beginning.
Step-by-step explanation:
Consider the provided information.
let x is the number of units.
The number of tomato plants in Inessa's garden is 5x
The number of tomato plants in Ralph's garden is 6x
It is given that half of Inessa's tomato plants are taken from her garden and replanted into Ralph's garden.
Therefore,
1/2 × (5x)
After replanted Ralph’s garden had 850 tomato plants.
Therefore,
(1/2)(5x) + 6x = 850
5x + 12x = 1700
17x = 1700
x = 100
The number of tomato plants in Ralph's garden is 6x.
Substitute the value of x in 6x.
6(100)=600
Hence, Ralph had 600 tomato plants in the beginning.
Answer:
x = -3; substitute it to the other equation.
2(-3) - 7y = 30
-6 - 7y = 30
-7y = 30 + 6
-7y = 36
y = -36/7
we will not round the number because the question is asking for an improper fraction at its simplest form.