Answer:
3:4
Step-by-step explanation:
divide both sides by 6 to get simplest form
Answer:
Step-by-step explanation:
First you need to find the price for one binder. If 2 binders cost 4.36 you have to divide by 2 to find the price for 1. You should get 2.18. Then you have to see how many times you can multiply 2.18 without having the product go over 2.18. 2.18 • 22 = 47.96, the number closest to 50 without going over. Therefore, she can buy 22 binders.
Answer:
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = 
∴ sin∠B =
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) =
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = 
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x =
Rounded to the Nearest Tenth: x = 12.9
Hm. This is an interesting problem.
Let's see if we can express each of these numbers in terms of x and make an algebra equation to help us solve.
Consecutive even numbers increase by 2.
Let's allow x to equal our first number.
Let's allow x + 2 to equal our 2nd number.
Let's allow x + 4 to equal our 3rd number.
When we add those together, their sum need to equal 50 more than the largest integer (our x + 4)
Let's set it up!
x + (x +2) + (x + 4) = (x + 4) + 50
Simplify!
3x + 6 = x + 54
Let's reorganize the left and right sides.
3x - x = 54 - 6
2x = 48
x = 24 (our 1st even number)
Now, let's check our answer!
24 + 26 + 28 = 78
78 - 50 = 28 Our highest integer.
The sum of consecutive integers 24, 26, 28 is 50 more than the highest integer.