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Vladimir79 [104]
2 years ago
14

During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow

n and ͵ points for each field goal. Write and solve the systems of equations to find the total touchdowns and field goals scored.
Mathematics
1 answer:
Karolina [17]2 years ago
4 0

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

x+y=6

x=6-y....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

7x+3y=30 ...(2)

Put the value of x from equation (1) into equation (2).

7( 6-y)+3y=30

42-7y+3y=30

-4y=30-42

-4y=-12

y=3

Put y = 3 in equation 1.

x=6-3

x=3

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

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White raven [17]

Answer:

the percentage is 12%

Step-by-step explanation:

Given that

The 12 students picked up the vanilla cupcake

And, 88 students picked up the chocolate cupcake

We need to find out the percentage of the students picked up a vanilla cupcake

So, the percenatge is

= (12) ÷ (12 + 88) × 100

= 12 ÷ 100 × 100

= 12%

Hence, the percentage is 12%

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3 years ago
Need help Soon as possible
netineya [11]

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

7 0
3 years ago
Solve for x.
konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

\frac{x}{15}=\:\frac{12}{20}

Cross Multiply the expression

\:20\times x=12\times 15

Divide both sides by 20

\frac{20x }{20}=\frac{180}{20}

x=9

Therefore, the value of x = 9

5 0
3 years ago
Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes c
pshichka [43]

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             <u> 10</u>                                10 / 50 = <u>0.2</u>

                                          50                                               1

From the above example, it can be seen that :

  1. two or more classes  can have the same relative frequency
  2. The relative frequency is found by dividing the class frequencies by the total number of observations.
  3. The sum of the relative frequencies must be equal to one
  4. The sum of the frequencies and not the relative frequencies is equal to the number of observations.

4 0
3 years ago
What is 4,000+100+80+5 in word form?​
Sphinxa [80]

Answer:

Step-by-step explanation:

it is four thousand one hundred eighty five

6 0
3 years ago
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