We have been given a graph that models the cost of a cheese pizza with extra toppings at two different restaurants. Now using the graph, we have to find about how many pizza toppings must be added to make the cost of the pizzas from both restaurants equal.
To find that we just have to look at the intersection point of both graphs.
If you look carefully then you will find that both graph intersect at the point where x-coordinate is 5.
Hence final answer is 5 toppings.
The remaining plant food is: 1 7/12 kg
Step-by-step explanation:
Given
Total Plant food = 3 1/2 kg
Plant food used on Strawberry Plants = 1 2/3 kg
Plant food used on tomato Plants = 1/4 kg
We will first calculate the total food plant used and then subtract the used plant food from the total plant food.
So,
Now,
The remaining plant food is: 1 7/12 kg
Keywords: Division, Fractions
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Answer:
Second choice:
Fifth choice:
Step-by-step explanation:
Let's look at choice 1.
I'm going to subtract 1 on both sides for the first equation giving me . I will replace the
in the second equation with this substitution from equation 1.
Expand using the distributive property and the identity :
So this not the desired result.
Let's look at choice 2.
Solve the first equation for by dividing both sides by 2:
.
Let's plug this into equation 2:
This is the desired result.
Choice 3:
Solve the first equation for by adding 3 on both sides:
.
Plug into second equation:
Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:
Not the desired result.
Choice 4:
I'm going to solve the bottom equation for since I don't want to deal with square roots.
Add 3 on both sides:
Divide both sides by 2:
Plug into equation 1:
This is not the desired result because the variable will be squared now instead of the
variable.
Choice 5:
Solve the first equation for by subtracting 1 on both sides:
.
Plug into equation 2:
Distribute and use the binomial square identity used earlier:
.
This is the desired result.
The equation of the line in the point-slope form is y - 15 = (x - 10)
Step-by-step explanation:
The point-slope form of a linear equation is , where
∵ Point A = (10 , 15)
∵ The x-coordinate of the second point is 125% of x-coordinate
of point A
∴ x-coordinate of second point = × 10
∴ x-coordinate of second point = 12.5
∵ The y-coordinate of the second point is 75% of y-coordinate
of point A
∴ y-coordinate of second point = × 15
∴ y-coordinate of second point = 11.25
∴ The coordinates of the second point are (12.5 , 11.25)
Let us find the slope of the line by using the rule of it above
∵ = (10 , 15)
∵ = (12.5 , 11.25)
∴
Now we can write the equation
∵ The point-slope form is
∵
∵ = (10 , 15)
- Substitute these values in the form of the equation
∴ y - 15 = (x - 10)
The equation of the line in the point-slope form is y - 15 = (x - 10)
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