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ddd [48]
3 years ago
11

Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equati

ons to find how much Simone and Dan saved.
Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Simone saved $90.25 and Dan saved $24.90

Step-by-step explanation:

Let,

Amount saved by Simone = x

Amount saved by Dan = y

Amount saved by Carly = z

Simone saved $65.35 more than her brother Dan

x = y + 65.35    Eqn 1

and $37.50 less than her sister Carly.

x = z - 37.50     Eqn 2

Carly saved $127.75

z = 127.75      Eqn 3

Putting value of z from Eqn 3 in Eqn 2

x = 127.75-37.50\\x=90.25

Putting x=90.25 in Eqn 1

90.25=y+65.35\\90.25-65.35=y\\24.90=y\\y=24.90

Simone saved $90.25 and Dan saved $24.90

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/116167
  • brainly.com/question/116715

#LearnwithBrainly

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PLEASE HELP!!!!!!! A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a
Marianna [84]

Answer:

The answer to your question is car 1 = 30 gal and car 1 = 20 gal

Step-by-step explanation:

car 1 = a

car 2 = b

Efficiency of car 1 = 35 mi/gal

Efficiency for car 2 = 20 mi/gal

Total distance = 1450

Total gas consumption = 50 gal

Equations

                          35a + 20b = 1450            ------- (I)

                             a   +     b =  50               ------- (II)

Solve by elimination

Multiply equation II by -35

                          35a  + 20b  = 1450

                         -35a  - 35b   = -1750

Simplify

                            0    - 15b    =  -300

Solve for b

                                        b =  -300/-15

Result

                                        b = 20

Substitute b in equation II to find a

                               a +  20  = 50

Solve for a

                               a  = 50 -20

Result

                               a  = 30

4 0
3 years ago
ANYONE ABLE TO HELP??? ASAP!!!!
Artemon [7]
I belive it c but i mit be wrong so dont mark it

5 0
3 years ago
|-3+(-1)|= simply the expression
Andreyy89

Answer:

4

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

8 0
3 years ago
The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain projec
Feliz [49]

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.

  (5 workers) × (8/5) = 8 workers

8 workers are needed to complete the project in 15 days.

6 0
2 years ago
Find the equation that going through these points.<br><br>urgent!! will give the brainliest​
vampirchik [111]

Answer:

The correct answer is y = -3x + 1.

Step-by-step Explanation:

First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).

When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.

Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.

Finally, to determine the slope, divide 12 and -4 to get -3.

Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:

-5 = -3(2) + b (Multiply the slope by x to earn the new value)

-5 = -6 + b (Add the -6 to the -5 to isolate the b)

1 = b (b = 1) (Learn that b = 1)

Your final equation will be y = -3x + 1.

8 0
3 years ago
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