Answer:
7) x + 0.09x, where x is the price of the car
8) x + 0.05x where x is the price of clothing
9) It will take michael about 9.14 minutes to eat 32 cookies.
Step-by-step explanation:
7) 9% of x is the same as 0.09x, so you can write this:
x + 0.09x, where x is the price of the car
8) same thing for this one
x + 0.05x where x is the price of clothing
9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or
Because he will be eating them at the same pace, you can write an equation and solve for the variable:
=
cross multiply the proportion:
21 × y = 32 × 6
solve:
21y = 192
y ≈ 9.14
It will take michael about 9.14 minutes to eat 32 cookies.
This works because they both simplify to 3.5 cookies per minute
= 3.5
= 3.5
Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
Answer:
<h2>P = 60</h2>
Step-by-step explanation:
The formula of a distance between two points:
X(-3, -6), Y(21, -6). Substitute:
X(-3, -6), Z(21, 4). Substitute:
Y(21, -6), Z(21, 4). Substitute:
The perimeter of the triangle XYZ:
Substitute:
I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.
The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.
As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.
Now write out each sentence using variables.
1.) Tia sold 78 hamburgers and chicken tenders.
x+y=78
2.) If she sold 24 more hamburgers than chicken tenders.
x=y+24
Now that we have the 2 equations, its time to solve.
Since we have x=y+24, we can replace the x in the first equation with the second equation
y+24+y=78
2y+24=78
Now we can subtract 24 from both sides.
2y=54
Simplify
y=27
Solve for x
x=27+24=51
Done!
Answer: It will take him 1.68 years to recover his initial investment.
First, find the amount of extra money that he will make.
34,000 - 13,000 = 21,000
He will be making an extra 21,000 per year.
Now, divide the cost of his training by the amount of his increase.
35200 / 21000 = 1.68
That gives you the amount of years it will take him to pay off his investment.