Core Connections: Course 3
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Core Connections: Course 3 View details
2. Section 9.2
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Exercise 91 Page 425

Practice makes perfect

We are asked to complete the given Diamond Problem. Let's start by comparing the given diagram with the pattern used in the problem!

In the given diamond, x is 0.3. We can fill the remaining corners when we find a number for y such that the product xy is equal to 1.5. xy= 1.5 ⇒ 0.3y=1.5 Notice that we got an equation that we can solve for y. Let's do it!
0.3y=1.5
0.3y/0.3=1.5/0.3
y=1.5/0.3
y=5
We found that y is equal to 5. Now we can calculate the value of the sum x+y.
x+y
0.3+ 5
5.3
Finally, we can complete our Diamond Problem.

Let's consider the given Diamond Problem and the pattern used in the problem!

We can see that x is 0.2 and y is 17. We can fill the remaining corners when we calculate the product and the sum of these numbers.

x=0.2, y=17
Product (xy) 0.2( 17)= 3.4
Sum (x+y) 0.2+ 17=17.2

Now we can complete our Diamond Problem.

Let's complete the given Diamond Problem. We will start by comparing the given diagram with the pattern used in the problem!

In the given diamond, x is 0.2. We can fill the remaining corners when we find a number for y such that the product xy is equal to 2.6. xy= 2.6 ⇒ 0.2y=2.6 We got an equation that we can solve for y. Let's do it!
0.2y=2.6
0.2y/0.2=2.6/0.2
y=2.6/0.2
y=13
We found that y is equal to 13. Now we can calculate the value of the sum x+y.
x+y
0.2+ 13
13.2
Finally, we can complete our Diamond Problem.

Let's consider the pattern and the given diagram.

In the given diamond, y is 3.5. We can fill the remaining corners when we find a number for x such that the product xy is equal to 70. xy= 70 ⇒ x (3.5)=70 Let's solve the equation we got for x.
x(3.5)=70
x(3.5)/3.5=70/3.5
x=70/3.5
x=20
We found that x is equal to 20. Now let's calculate the value of the sum x+y.
x+y
20+ 3.5
23.5
Finally, we can complete our Diamond Problem.