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Shtirlitz [24]
3 years ago
6

Mr. Jones purchased two sodas.

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer:

  the prices were $0.05 and $1.05

Step-by-step explanation:

Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...

  a + b = 1.10 . . . . the total cost of the sodas was $1.10

  a - b = 1.00 . . . . one soda costs $1.00 more than the other one

__

Adding these two equations, we get ...

  2a = 2.10

  a = 1.05 . . . . . divide by 2

  1.05 -b = 1.00 . . . . . substitute for a in the second equation

  1.05 -1.00 = b = 0.05 . . . add b-1 to both sides

The prices of the two sodas were $0.05 and $1.05.

_____

<em>Additional comment</em>

This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.

This result is the general solution to sum and difference problems.

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The parameter of the study's population is the 80% of all customers who shopped in the chain's stores that were interested in the home delivery service.

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3 years ago
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How many square feet of outdoor carpet will we need for this hole?
Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a  rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

Area of the rectangle = Lb

where

L = 12 ft

b =  5 ft

area = 12 × 5  = 60 ft²

The cut off triangle area

area = 1/2 × base × height

area = 1/2 × 4 × 3

area = 12/2 = 6 ft²

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area = Lb

area = 3 × 2

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The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

7 0
3 years ago
Please Help!!! 30 Points!!!<br><br> Find X.<br><br> Please explain how you got your answer.
lidiya [134]
X= 38.12325882663022

First take SOHCAHTOA
We’ll use SOH.
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7 0
3 years ago
Hannah scored a total of 170 points on two math tests. The score of the first test was 6 points lower than the second test. How
tester [92]
Ok so in order to do this, you have to set up an equation. Let's make a=the score of the first test and b=the score of the second test. (You can choose different variables, it doesn't matter.) It says the sum of the two equals 170. So, a+b=170. It also says that the score of the first was 6 less than the second. This can be shown as a=b-6. Now you can plug this in for a in your original equation. It will look like:

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2b-6=170
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Since you want a, plug into either equation for b. I'll use the second one.

a=88-6

So, a=82
8 0
3 years ago
Two numbers total 31 and have a difference of 11. Find the two numbers
nexus9112 [7]

Answer:

let 2 no. be x and y

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y=10

8 0
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