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swat32
3 years ago
9

Lawrence buys his friends candy in the morning for $4 a box, but forgot some of his friends, so he went back to the candy shop a

nd purchased the same candy but they had increased in price. He paid $5 a box. Let t represent the number of boxes of candy Lawrence purchased. Write an expression that represents these purchases.
Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

He purchased "t" boxes for $4 and then went back later and purchased "t" boxes for $5.

4t + 5t

4t +5t = 9t

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Write the equation of the line shown in point-slope form. (2,1) (3,8)
Ulleksa [173]

<u>Answer:</u>

The line equation that passes through the given points is 7x – y = 13

<u>Explanation:</u>

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}

{(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)

(y -8) = \frac{(- 7)}{(-1)}(x-3)

y – 8 = 7(x – 3)

y – 8 = 7x – 21  

7x – y = 21 – 8  

7x – y = 13  

Hence, the line equation that passes through the given points is 7x – y = 13

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3 years ago
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nikitadnepr [17]
Hello!

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Aunt bess uses 3 cups of oatmeal to bake 6 dozen cookies how many cups of oatmeal will she need to bake 18 dozen cookies
Andrei [34K]
There are several important information's already given in the question. Based on those information's the answer to the question can be easily deduced.
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required by Aunt Bess for making 6 dozen cookies = 3
Then
Number of cups of oatmeal
required by Aunt Bess for making 1 dozen cookies = (3/6)
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So
Number of cups of oatmeal
required by Aunt Bess for making 18 dozen cookies = (1/2) * 18
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So Aunt Bess will require 9 cups of oatmeal for baking 18 dozen cookies. I hope the procedure is clear enough for you to undestand.
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tiny-mole [99]

Answer:

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