Y = x + 1....so we sub in x + 1 for y in the other equation
2x + y = 7
2x + x + 1 = 7 ....combine like terms
3x + 1 = 7....subtract 1 from both sides
3x = 7 - 1
3x = 6 ....divide both sides by 3
x = 6/3
x = 2
y = x + 1
y = 2 + 1
y = 3
so ur solution is : (2,3)
Answer:
61,62
Step-by-step explanation:
Let the smallest number be x
Hence, the biggest number = x+1 [as it consecutive]
Hence,
7(x+1)+x=495
7x+7+x+495
8x=495-7
8x=488
x=61
Hence, smaller number=61, bigger number=62
Answer:
height = 63 m
Step-by-step explanation:
The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long. The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.
Since the triangle formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.
c² = a² + b²
where
c is the hypotenuse side while side a and b is the other sides of the right angle triangle.
65² - 16² = height²
height² = 4225 - 256
height² = 3969
square root both sides
height = √3969
height = 63 m
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:
2,100 + 0.05x ≥ 2,400
We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)
How to solve this:
First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
