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Shtirlitz [24]
2 years ago
6

Mr. Jones purchased two sodas.

Mathematics
1 answer:
kondaur [170]2 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 floor of hexagonal barn has a perimeter 1260
MArishka [77]

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

8 0
3 years ago
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’
cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

d^2=x^{2}+y^{2}

we have

d=13\ in

so

13^2=x^{2}+y^{2}

169=x^{2}+y^{2} ----> equation A

x=y+7 ---> equation B

substitute equation B in equation A

169=(y+7)^{2}+y^{2}

solve for y

169=y^2+14y+49+y^{2}

2y^2+14y+49-169=0

2y^2+14y-120=0

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

5 0
3 years ago
1. The coins in Jada's pocket are worth 75% of a dollar. How much are they worth (in dollars)?​
aalyn [17]

Answer:

$0.75

Step-by-step explanation:

7 0
3 years ago
Freee points bois firkmfmd
s2008m [1.1K]

you know

its rly hard to actually answer one of these

thx man i appreciate it

4 0
2 years ago
Read 2 more answers
PLZ HELP ASAP FOR BRAINLIEST
kykrilka [37]

Answer:

1/4

Step-by-step explanation:

You can set up ratios or fractions for the matching sides.

A/B

1/4 = 1/4

1.1/ 4/4= 1/4

1.5/6 = 1/4

5 0
3 years ago
Read 2 more answers
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