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Mice21 [21]
3 years ago
8

Can someone please answer these two Algebra math questions for me thanks!

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
<h3>Explanation:</h3>

Given:

  • total score is 63
  • field goals score 3
  • touchdowns score 7

Find:

  • a linear equation representing the relationships given
  • a graph of that equation
  • combinations of field goals and touchdowns that give the score

Solution:

1. see above for what is given

2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.

The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.

Likewise, the total score from y touchdowns can be written as the term 7y.

__

The equation of interest is then ...

  3x + 7y = 63

The graph of it, and its integer solutions, is attached.

Possible combinations of (field goals, touchdowns) are ...

  (0, 9), (7, 6), (14, 3), (21, 0)

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Braxton opened up his checking account with $500. On Monday, he withdrew $120 to purchase a pair of shoes. On Wednesday, he depo
AURORKA [14]

Answer:

$425

Step-by-step explanation:

subtract 120 and 5 from his starting total to get how much he has after all his purchases. Then add 50 to that total to get your answer.

5 0
3 years ago
Susan is celebrating her birthday by going out to eat at five guy's for burgers. If the bill in $40 and she wants to leave a tip
damaskus [11]

Answer:

  $6

Step-by-step explanation:

Susan can easily figure the tip by the following procedure. 10% of the bill is the amount with the decimal point moved one place to the left, so is $4.00. 5% of the bill is half that, or $2.00.

15% of the bill is 10% + 5%, so is $4.00 +2.00 = $6.00. The tip will be $6.00.

7 0
3 years ago
Chau's shop sells quarts of ice cream each day. How much is this in pints?
barxatty [35]

Answer:

One quart is 2 pints

Step-by-step explanation:

multiply the number of quarts by 2 to get the number of pints.

5 0
3 years ago
I need help asap!!!!
kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 =  180              Collect the like terms

3x +2x + 31 - 6 = 180               Do the adding and subtracting.

5x + 25 = 180                          Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155                                   Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x -  15 = 90

Solution

7x - 15 = 90        Like terms have been collected on the left.

7x = 90 + 15       15 was added to both sides

7x = 105              Divide by 7      

x = 15                       I'll leave the check to you


5 0
3 years ago
Tom buys a shirt for 22.00 plus 7% sales tax. His cousin buys a shirt for 18.00 plus 4% sales tax. How much do Tom and his cousi
Luda [366]

Answer:

$42.26

Tom spent more on tax ($1.54 vs his cousin's $0.72)

Step-by-step explanation:

Tom: $22 x 1.07 = $23.54

tax spent = 22 x 0.07 = $1.54


Cousin: $18 x 1.04 = $18.72

tax spent = 18 x 0.04 = $0.72


Total= $23.54 + $18.72 = $42.26

6 0
3 years ago
Read 2 more answers
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