During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdown and ͵ points for each field goal. Write and solve the systems of equations to find the total touchdowns and field goals scored.

Answers

Answer 1

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

[tex]x+y=6[/tex]

[tex]x=6-y[/tex]....(1)

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

The total score is 30 points:

[tex]7x+3y=30[/tex] ...(2)

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

[tex]7( 6-y)+3y=30[/tex]

[tex]42-7y+3y=30[/tex]

[tex]-4y=30-42[/tex]

[tex]-4y=-12[/tex]

[tex]y=3[/tex]

Put y = 3 in equation 1.

[tex]x=6-3[/tex]

[tex]x=3[/tex]

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


Related Questions

The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.

Answers

Answer:

"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)

Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.

There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.

Step-by-step explanation:

Can someone also help me with this one?

Answers

Answer:

120

Step-by-step explanation:

6th grade math help me plzzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

answer is d

2upon7

hope you understand

What is 4.35 divided by 2.5?​

Answers

answer:
it’s 1.74

explanation

Answer:

1.74

Step-by-step explanation:

what is the LCM of 9,12,16​

Answers

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

PLZ PLZ PLZ HELP MEEEE

Answers

Answer:

open comment

please mark me brilliant

I Believe the answer is 16 and 4

plzzzzz help plz i need this answer

Answers

Answer:

Step-by-step explanation:

3x - 4 = x + 4

2x - 4 = 4

2x = 8

x = 4

BC = 4 + 4 = 8

There were 20 questions on an exam. You answered 40% of them incorrectly. How many did you answer incorrectly?

Answers

40% = 0.40
20 * 0.40 = 8
Solution: you answered 8 incorrectly

Answer: 4

Step-by-step explanation: 20-10=10 which is %50. 20-16=4

Ashkey gets $9,000 a year from the government to pay for school. Her school costs $3,000 for She is away from home for 8 months. She pays $400 a month for rent. Her phone averages $50 a monthShe pays about $150 a month in groceries. Create a budget for How much does she have left for activities for the 8 months?

Answers

Answer:

1200

Step-by-step explanation:

400+50+150*8+3000=7800

9000-7800

Answer:

6,600

Step-by-step explanation:

9000 − 3000 + 600 =

6600

(I don't know if this what you wanted but I hope it will help)

need help its 7th grade math​

Answers

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane’s unit rate in miles per hour?
A. 3,807 mph
B. 1,266 mph
C. 432 mph
D. 423 mph

Answers

Answer:

423 mph

Step-by-step explanation:

To find the answer, you have to divide 1,269 by 3 since we want to find how many miles the plane travels in one hour. Doing this, we end up with 423 which is the answer.

Answer: D. 423 mph

Step-by-step explanation:

A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane’s unit rate in miles per hour?

1,269 % 3 = 423

ITS RIGHT

I need help math plz help me ​

Answers

Answer:

1 ballon will be leftover.

Step-by-step explanation:

53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...

Help In math pls this a slope problem

Answers

Answer:

D

Step-by-step explanation:

3 + 7 Is what

A) 10

B) 18

C) 37

Answers

Answer:

A)10

Step-by-step explanation:

hope it helps u

37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?​

Answers

Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

Combine like terms to create an equivalent expression. 4\left(1.75y-3.5\right)+1.25y4(1.75y−3.5)+1.25y

Answers

Answer:

8.25y + 14

Step-by-step explanation:

Given the expression

[tex]4\left(1.75y-3.5\right)+1.25y[/tex]

We are to simplify it as shown

Open the parenthesis

4(1.75y) - 4(3.5) + 1.25y

7y - 14 + 1.25y

Collect the like terms

7y + 1.25y - 14

8.25y + 14

Hence the required expression is 8.25y + 14

Answer:

8.25y−14

Step-by-step explanation:

Use the distributive property to multiply the

4

4start color #ff00af, 4, end color #ff00af into the parentheses.

Hint #22 / 4

4

(

1.75

y

3.5

)

+

1.25

y

=4(1.75y−3.5)+1.25yempty space, start color #ff00af, 4, end color #ff00af, left parenthesis, 1, point, 75, y, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y

=

4

(

1.75

y

)

+

4

(

3.5

)

+

1.25

y

=4⋅(1.75y)+4⋅(−3.5)+1.25yequals, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, 1, point, 75, y, right parenthesis, plus, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y [Explain]

=

7

y

14

+

1.25

y

=7y−14+1.25yequals, 7, y, minus, 14, plus, 1, point, 25, y

Hint #33 / 4

=

7

y

14

+

1.25

y

=7y−14+1.25yequals, start color #6495ed, 7, end color #6495ed, y, minus, 14, plus, start color #6495ed, 1, point, 25, end color #6495ed, y

=

(

7

+

1.25

)

y

14

=(7+1.25)y−14equals, left parenthesis, start color #6495ed, 7, end color #6495ed, plus, start color #6495ed, 1, point, 25, end color #6495ed, right parenthesis, y, minus, 14 [Explain]

=

8.25

y

14

=8.25y−14equals, 8, point, 25, y, minus, 14

Hint #44 / 4

The expanded expression is

8.25

y

14

8.25y−14

Question 6
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal,
with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?

Answers

Answer:

D. 246 grams

Step-by-step explanation:

invnorm(.95, 240, 3) is around 244 and the question is asking for the least weight of a bag in the top 95%, so the smallest number within

a. 234

b. 240

c. 243

d. 246

e. 248

is d.

The distribution of the mix follows inverse normal distribution

The least weight of a bag in the top 5% is 246 grams

The given parameters are:

[tex]\mathbf{\mu = 240}[/tex] ---- population mean

[tex]\mathbf{\sigma = 3}[/tex] ---- population standard deviation

To get the least weight of a bag in the top 5%, we make use of inverse normal distribution.

So, we have:

[tex]\mathbf{Least = invNorm(p,[\mu,\sigma])}[/tex]

Being in the top 5% means that:

p = 1 - 5%

p = 1 - 0.05

p = 0.95

So, we have:

[tex]\mathbf{Least = invNorm(0.95,240,3)}[/tex]

From the inverse normal calculator, we have

[tex]\mathbf{Least = 246}[/tex]

Hence, the least weight is 246 grams

Read more about inverse normal distributions at:

https://brainly.com/question/15798227

Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?

Answers

Answer:

208.8

Step-by-step explanation:

240 times 0.87 is 208.8

The surface area "S" of a sphere of radius ris given by the forma
S=4pir^
Find (i) the surface area of a sphere whose radius is 5 cm.​

Answers

The answer is 314.16

Which operation should you do first when you simplify the expression below?

(15+4)x3

Answers

Answer:

I would assume you would use PEMDAS? thats what I would use

Answer:

Solve the parenthesis

Step-by-step explanation:

In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!

What is the value of x? B 75° Enter your answer in the box. X=​

Answers

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

What is the solution to the system of equations graphed below?

Answers

Answer:

a) (2,4)

Step-by-step explanation:

it's where the points meet

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Which expression is equivalent to 12(4m−2n+4)?
1.2m−n+2
2.2m−2n+4
3.8m−4n+4
4.8m−4n+8

Answers

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

I don't understand the way they've arranged the statement...

Answers

can’t see the picture

Learning task 2
A.for this learning task,be able to supply the missing value if y varies jointly or if y varies both directly and inversely to x and z.

Answers

Step-by-step explanation:

Row 1

k=2 ,  Equation: y=2xz

Row 2

x=10, k=2

Row 3

y= 192,  Equation: y= 4xz

Row 4

z= 2, k= 3

Row 5

x= 16/3, k= 3/4

Note. The equation should be y = 3/4xz, not y = 3/4xy

What is one of the greatest problems in Brazil?
O education
O language
O transportation

Answers

ITS EITHER A OR C because its common sense

Answer:

c transportation

Step-by-step explanation:

how do i solve -3x + 2y = -4

Answers

Answer:

y= 3/2 x -2

Step-by-step explanation:

I guess you want to find the y=mx+b form

So you do +3x on both sides which will gave you: 2y= 3x-4

Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2

So 3/2 is the fraction like the answer above and -4/2 = -2

Hope that helps :)

Which of these factions are greater than 11/20

Answers

So they have certain numbers we have to pick on the question if not then anything higher will do like 12/20

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

d. The opposite of - 10t and t - 10t

Answers

Answer:

The answer is t.

Step-by-step explanation:

We need to find the sum of opposite of - 10t and t - 10t.

Opposite of -10t = 10 t

So,

10t + (t-10t)

Grouping the numbers,

(10t+(-10t)) + t

= 0 + t

= t

Hence, the answer is t.

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