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

I need help solve and explain it plz and this you will get 20 points

Answers

Answer:

Y=-1

Step-by-step explanation:

-4(y-2)

-4y+8=12

-8.       -8

-4y=4

-4.  -4

y=-1

Answer: Y = -1

Step-by-step explanation:

This is solved using the distributive property.

1. Distribute, so now it should look like -4y + 8 = 12

2. Now subtract the 8 from both sides to isolate -4y = 4

3. Divide -4 on both sides to get y = -1

A leaking faucet drips into a bucket. The faucet drips at a constant rate. The level of water in the bucket rises
3 inches in 6 hours. What was the rate per hour of the water level change?

Answers

Answer:

The per hour rate is 0.5 inches per hour

Step-by-step explanation:

Here, we want to calculate the rate at which the level of the water increased

Mathematically, we can get this by dividing the amount of increment by the time it took

That would be 3 inches divided by 6 hours

= 3/6 = 0.5 inches per hour

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Solve the inequality:

11x+12≥45

Select one:

x 3

x≥3

x≤3

Answers

The answer is x ≥ 3.

Determine the perimeter of a rectangle with a length of 6 inches and a width of 1 foot.
O 14 inches
O7 inches
O 36 inches
O 18 inches

Answers

Answer:

36

Step-by-step explanation:

Solve the inequality -20 < 10n

Answers

Answer:

n>-2

Step-by-step explanation:

What are the possible names of the angle shown here? Select all that apply.
Angle2
AngleRTS
AngleTSR
AngleR
AngleRST

Answers

Answer:

a c e

Step-by-step explanation:

Answer:

a c e is correct

Step-by-step explanation:


Two glasses contain orange juice.
A 400ml glass is 40% full.
A 300ml glass is half full.
Which glass contains less orange juice?
Plz give explanation too

Answers

Step-by-step explanation:

Amount of orange juice in 400ml glass

= 400ml * (40%/100%) = 160ml.

Amount of orange juice in 300ml glass

= 300ml * (1/2) = 150ml.

Since 150ml < 160ml, the 300ml glass contains less orange juice.

The second glass has less amount of orange juice.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Two glasses contain orange juice.

⇒ A 400ml glass is 40% full.

⇒ A 300ml glass is half full.

Now,

Since, Two glasses contain orange juice.

A 400ml glass is 40% full.

A 300ml glass is half full.

Hence, The amount of juice in first glass is,

⇒ 40% of 400

⇒ 40/100 × 400

⇒ 160 ml

And, The amount of juice in second glass is,

⇒ 300 / 2

⇒ 150 ml

Hence, The second glass has less amount of orange juice.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

I Need Help!! Its Homework​

Answers

What homework are you talking about
I can help you but I don’t know what to help you with.

What is 700,000+9,000+60+7 in Standard form

Answers

Answer:

709,067

Step-by-step explanation:

add them together from greatest to least

don’t mind my crusty computer

Answers

Answer:

Okay

Step-by-step explanation:

Answer:

R.I.P adrians hat

Step-by-step explanation:

Molly bought a pair of gloves and a skirt.
The gloves cost £4
She sold the gloves and the skirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Give your answer to 1 decimal place.​

Answers

Answer:

U think it's 2.4

Step-by-step explanation:

.48 ÷by 4 =2

20% of 12=2.4

Plz can someone help me w/ this! ^_^

Answers

Answer: it would be a

Step-by-step explanation:

from my understanding you look at the sides and a traingale has 360 in total of the area.

so

A: x/8=3/4
B: 2/5=x/40
C: 1/8=x/40
D:x/10=12/15

Answers

I’m assuming you want to figure out what x is in the equation so....

6/8=3/4
2/5=16/40
1/8=5/40
8/10=12/15

I hope this helps.


Solve for x
30°
9x - 3

Answers

180 = 90 + 30 + (9x - 3)
60 = 9x - 3
63 = 9x

x = 7

When you reverse the digits in a certain 2 digit number you decrease its value by 81. What is the number if the sum of its digits is 9?​

Answers

Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.

Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.

If you need some equations, here is a way to set up a system to solve:

x+y= 9 rewrite to get a value for y to substitute:

y = 9-x

10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)

10x -x + y-10y = 81 combine like terms

9x - 9y = 81

Substitute for y and solve for x

9x - 9(9-x)= 81 distribute.

9x - 81 + 9x = 81

18x = 162. 162/18 = 9

x = 9

Substitute in the original equation to solve for y

9 + y = 9

y = 0

10(9) + 0 = 10(0) + 9 +81

90 - 81 = 09

Element X decays radioactively with a half life of 6 minutes. If there are 260 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 113 grams

Answers

Answer:

7.2 minutes

Step-by-step explanation:

The formula to find the time using the radioactive decay rate formula is given as:

t = t½ × In(Nt/No)/-In2

Where

t½ = half life = 6 minutes

No = Initial Amount = 260 grams

Nt = Amount after decay

= 113 grams

Hence:

t = 6 × In(113/260)/-In2

t = 7.2131331036796 minutes

Approximately = 7.2 minutes

Helppppp!!! Please I need it now

Answers

Answer:

(6,9)

Step-by-step explanation:

Which graph represents the equation below f(x)=-(x+1)(x-3)

Answers

Answer:

The answer is "A" (1,4)

Step-by-step explanation:

Got it correct on the test.

Hi,

The file attached shows the correct answer:
Graph A would be the correct answer.
Graph A has a vertex of (1,4)
XD

what's is the square root of -1

-i
i
-1
1

Answers

Answer:

see explanation

Step-by-step explanation:

The [tex]\sqrt{-1}[/tex] = i

Answer:

The answer is I / Option B

Step-by-step explanation:

You'd like your pendulum to take 20 seconds to complete a cycle. How long will the pendulum need to be? Is this reasonable in your building, which is planned to be 20 feet high​

Answers

Answer:

It would need to be 324.23 feet high (not reasonable)

Step-by-step explanation:

If you plug it into the pendulum formula given T = 2 π √(L/32), all you would have to do is set T=20 and solve for L

You would end up getting 3200/(π²)

this is equal to 324.227

This was the formula given to me by the assignment, not sure if it is the same on yours. Good luck! ;)

James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip

Answers

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph

The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number and let y represent the second number. What is the value of the first number? Use the table to guess and check.

Answers

Step-by-step explanation:

x+y=40

y=2x-5

[tex]x = 40 - y \\ y = 2(40 - y) -5 \\ y = 80 - 2y - 5 \\ 3y = 75 \\ y =25 \\ x = 40 - y \\ x = 15[/tex]

What is 2/5 divided 1/3

Answers

Answer:

1.33

Step-by-step explanation:

Answer:

1 and 1/5

Step-by-step explanation:

2/5 divided by 1/3, so keep change flip applies to this so keep 2/5 change division to multiplication and flip 1/3 to 3/1 that changes the equation to 2/5 times 3/1 and that equals 1 and 1/5

if the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is​

Answers

Answer:

10cm^2

Step-by-step explanation:

The parallel sides of a parallelogram is 2cm apart

Their sum is 10cm

Therefore the area can be calculated as follows

= 2 ×10/2

= 20/2

= 10 cm^2

Hence the area is 10cm^2

M/6 = -9

answer m=?

Answer the ? Mark pls

Answers

Answer:

[tex]\frac{m}{6}[/tex] = -9            6 × (-9) = -54

Step-by-step explanation:

What is the equation of the line in slope-intercept form

Answers

Answer:

y = -3/5x - 2

Which expression gives the distance between the points
(2,3) and (4, -3)?
O A. (2-4)* +(3+3)
O B. (2-3)* +(4+3)?
C. (2-4)2 + (3+3)2
O D. (2-3)* +(4 +3)
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

  d = √[(2 - 4)² + (3 + 3)²]

Can you please help? :)

Answers

7.079 in the 9 has the least value

What is 666x666x999x1000

Answers

Answer:

443112444000

Step-by-step explanation:

mark me brainliest for first answer

Answer:

443,112,444,000

Step-by-step explanation:

666 x 666 x 999 x 1000 = 443,112,444,000

Hope it helps :)

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