Complete question :
Lamont wants to buy raspberries and apples to make a fruit tart raspberries cost $3.50 per pound and apples cost $3.75 per pound. How much dose he spend if he buys 3 pounds raspberry and 2 pounds of apples ?how much does he spend if he buys X pounds of raspberries and Y pounds of apples ?
Answer:
$18.00 ;
3.50x + 3.75y
Step-by-step explanation:
Given that:
Cost per pound of raspberry = $3.50
Cost per pound of apple = $3.75
Cost of 2 pounds of raspberry = 3 * $3.50 = $10.50
Cost of 2 pounds of apple = 2 * $3.75 = $7.50
Total spent = $(10.50 + 7.50) = $18.00
Cost of X pounds of raspberry and Y pound of apple
.
(3.50 * X) + (3.75 * Y)
3.50x + 3.75y
20 ,six times 70 equals 420 and five times eighty equals 400
Given the following statements<span>
1. line RS || segment AB, ∠1=∠2
2. ∠B = ∠1
3. ∠A = ∠2
4. ∠A = ∠B
5. RA = RB
and the following reasons,
a) If lines ||, corresponding ∠'s are =
b) If two ∠'s of a triangle are =, sides opposite are =
b) If lines ||, alternate interior ∠'s =
c) Given
d) Substitution
</span>
<span>we match the statements and the reasons to enable us prove the required proof.
Statement Reason
</span>
<span>1. line RS || segment AB, ∠1=∠2 Given
2. ∠B = ∠1 </span><span>If lines ||, corresponding ∠'s are =
3. ∠A = ∠2 </span><span>If lines ||, alternate interior ∠'s =
4. ∠A = ∠B </span><span>Substitution
[because we are given that </span>
<span><span>∠1=∠2]
</span>5. RA = RB </span>If two ∠'s of a triangle are =, sides opposite are =
It is false because it is equal to 2 the line is straight down
a. 
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>
Explanation:</h2>
<h3>PART A.</h3>
In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
Finding (m):
Finally, the equation of the line is:
<h3>
PART B.</h3>
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>
The y-intercept can be found setting 
. So, from our equation:
So the y-intercept is 
and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
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