Answer:
y= -1x+3
Step-by-step explanation:
Answer:
<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.
Step-by-step explanation:
Given:
A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.
Now, to find the ounces of silver alloy.
Let the silver costs $5.50 per ounce be 
And the silver costs $7.00 per ounce be 
So, the total ounce make a new alloy:
....(1)
Now, the total costs of silver alloy:

Putting the value of
from equation (1) in the place of
:



<em>Subtracting both sides by 210 we get:</em>

<em>Dividing both sides by -1.5 we get:</em>

Therefore, 135.73 ounces of a silver alloy that costs $5.50 per ounce should be mixed.
Answer:

Step-by-step explanation:
We are given the following in the question:

We have to prove:

Proof:

we can write:

Hence, the two triangle are congruent by SAS congruency rule.

The attached image shows the two triangle.
Answer:they will drive 500 miles each day.
Step-by-step explanation:
The Thompson family is traveling 1,500 miles to visit relatives. They plan to drive the same distance each day.
Let x represent the distance that they travel each day. If the Thompsons make the trip in 3 days, it means that the total distance that they travelled in 3 days would be
3 × x = 3x miles
Therefore , the distance that they will drive each day would be
3x = 1500
Dividing both sides of the equation by 3, it becomes
3x/3 = 1500/3
x = 500 miles