Answer:
the larger number is 50
Step-by-step explanation:
Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:
"the sum of two numbers is 80" can be written as:
Now the second phrase:
"The ratio of those two numbers is 3/5"
Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio 
, and solve for x:
Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:
Therefore the larger number (y) equals 50.
The area of the kitchen counter is 21 square ft.
<u>Step-by-step explanation:</u>
Area of the sink = 2 x 3
= 6 square ft.
Area of the kitchen counter = 9 x 3 -(6)
=27 - 6
= 21 square ft.
The area of the kitchen counter is 21 square ft.
Translate into Alg 15h - 25
Hey. Let me help you on this one.
In order for us to solve this problem, we will be needing to find both length and width of the triangle on this coordinate plane. We will also need to know how to use the triangle area formula.
I will be attaching an image containing the shown difference between a rectangle, and a triangle, and on how to understand why the area of a triangle is like this.
First of all, let's find the length of the triangle. It's 11 units, and we can determine that by counting up all of the units, or simply finding the difference between x-point 13 and 2, which is going to be 11.
Same applies to the width of the triangle. We will need to either count up all the units individually, or find a difference between a higher y-point and lower y-point. That difference is going to 5 units, since
.
Now, let's use the formula for the triangle area and substitute the values.
Answer: Area of the triangle on the coordinate plane is 27.5 units squared.
