Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.

Answers

Answer 1

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

Answer 2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Let the number of points touch down be xLet the number of -point field goals be y

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041


Related Questions

the area of a rectangle is 177 square meters the width is 9 meters what is the length of the rectangle

Answers

Answer:

19.67

Step-by-step explanation:

divide 177 by 9. the answer is 19.66666667, but you might have to round ;)

Let the number of games, `x`, and the number of rides, `y`



For `x+4y=28`, what is the slope of the graph?

Answers

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7

factor the polynomial
X^2-5x+4
i’m a little confused on the process to get the answer pls help :)

Answers

Answer:

(x-4)(x-1)

Step-by-step explanation:

So you need 2 numbers that add up to -5x and add up to 4.

Since the product of two numbers is positive and the sum is negative, you can determine that both numbers are negative. Now if this is the case, then you can factor and you'll get

(x-4)(x-1)

4 and 2/3 divided by 1/2

Yeah, I'll give brainliest if you answer other questions too. Basically doing an assignment for brainliest.

Answers

9 and 1/3




Division of fractions includes three major steps. Keep the first number, change the division symbol to multiplication, and find the reciprocal of the last number. If you do all these steps correctly (make sure to change the mixed number to an improper fraction), you should get the equation 14/3 x 2/1 = 28/3. 28/3= 9 and 1/3. Thus, the answer is 9 and 1/3.


Please mark me brainliest I hope my explanation helped :)

Answer:

Exact Form:

[tex]\frac{28}{3}[/tex]

Decimal Form:

9.3¯ (where the three is repeating)

Mixed Number Form:

[tex]9\frac{1}{3}[/tex]

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

yes

Step-by-step explanation:

a,p,e,x

4x²-6xy
PLZ
HELP
I
GIVE
5
STARS

Answers

yep I get the same thing what the other person is right

HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total cost of $21.75, not including tax, how many of each type of fish did she buy?

Answers

Answer:

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Step-by-step explanation:

Let a be the number of Angelfish fish and

b be the number of Bloodfin fish

Then according to the given statements

we get the following equations

[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]

From Equation 1

[tex]a = 8-b[/tex]

Putting in equation 2

[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]

Putting b=5 in equation 1

[tex]a+5 = 8\\a = 8-5 = 3[/tex]

Hence,

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation? I need a Answer fast please.

Answers

Answer:

I don't the answer but the next person will answer this right.

Find the least common multiple of 12 and 18?

Answers

36 is the correct answer

Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15? Jada's family bought 50 tacos for a party and paid $72. Were Jada's tacos the same price as Noah's tacos?

Answers

Answer:

-Noah could buy 10 tacos for $15.

-Jada's tacos were not the same price as Noah's tacos.

Step-by-step explanation:

You can use a rule of three to find the amount of tacos that Noah could buy with $15:

$6  →  4

$15 →  x

x=(15*4)/6=10

At this rate, Noah could buy 10 tacos for $15.

Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:

Noah: 15/10=1.5

Jada: 72/50=1.44

According to this, Jada's tacos were not the same price as Noah's tacos.

Simplify 10cm:30cm
Simplify 2cm:1m

Answers

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.

Answers

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.

David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an equation in y = max + form that represents the value remaining in his account after x visits

Answers

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

Which equation could represent the relationship shown in the scatter plot?
y=52x−1
y=3x
y=12x+7
y=−x+8

Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.

Answers

Y=12x+7 I think I’m not smart I tried tho

Answer:

y=1/2x+7

Step-by-step explanation:

Ben is going to an amusement park with his scout troop. He has $80 in his wallet. If admission costs $18.95, a book of ride tickets costs $26.50, and lunch costs $9.20, round each amount to the nearest dollar to find out about how much Ben will have left to buy a souvenir. A. $15 B. $25 C. $32 D. $38

Answers

Answer:

B

Step-by-step explanation:

because thats what google say lol

PLEASE ANSWER THIS ASAP !!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

In Josie's garden, the ratio of zinnias to petunias is 5:3. Which sentence correctly describes the ratio? A For every 5 zinnias, there are 3 petunias. B For every 3 zinnias, there are 5 petunias. C For every 8 petunias, there are 5 zinnias. D There are 35 as many zinnias as petunias.

Answers

Answer: A For every 5 zinnias, there are 3 petunias.

Step-by-step explanation:

STEP 1

A ratio  compares the value of one thing and another thing  in the same unit by expressing how many times  a number of items are contained in another comparing item . it is usually expressed using the  colon : as in a: b or "to" as in a to b.

STEP 2

in Josie's garden, the ratio of zinnias to petunias is 5:3.

Here, the ratio 5:3 compares and  expresses how many times the number of petunias are contained in the number of zinnias.

which means that For every 5 zinnias, there are 3 petunias.

What is the measure of angle x°?
pls answer real quick 20 points

Answers

Answer:

30

Step-by-step explanation:

A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30

Answer:

Its 30 btw :D

Step-by-step explanation:

help meeeee prettty pleaseee fastttttt

Answers

Answer:

D

Step-by-step explanation:

Given

y³ = 125 ( take the cube root of both sides )

[tex]\sqrt[3]{y^3}[/tex] = [tex]\sqrt[3]{125}[/tex]

y = 5 → D

Please help me!!!!!!!

Answers

2468 because 2340-140=2200 and 2220+268=2468

say they wanna read my mind.. they really wanna read my mind.. telling you rn all you’ll find is a lost soul rich and blind

Answers

They want to read my mind they really want to read my mind.

help me please.....​

Answers

Answer: I believe its Option 2

Step-by-step explanation: Sory if im wrong

Answer: y= -x^2+4
——
1. Write down the formula:
y=a(x-h)^2+k

2. Find the coordinates.
(H, K is the vertex form)
H, K= (0,4)
X, Y= (1,3)

3. Plug in the numbers into the formula
y=a(x-h)^2+k
3=a(1-0)^2+4

4. Solve for “a”
a= -1

Answer: y= -x^2+4

Pssst.... you can also use Desmos to help you with graphs. :)
Also Desmos is a great way to double check your work.
It is y= -x^2+4 because if you put it into Desmos it gives you the same coordinates and the same graph.

I hope this helped you!

is (-1 4) a solution of the inequality y ˂ 2x + 5

Answers

Answer:

Yes.

Step-by-step explanation:

1) Plug in the given numbers into the equation

4 < 2(-1) + 5

2) Simplify!

4 < -2 + 5

4 < 3

3) Is the statement 4 < 3 true?

Yes! 3 is less than 4, therefore this statement is true.

yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes

2(x2 + 6) – 3 vy when x = 3 and y = 64.

Answers

Answer:

73

Step-by-step explanation:

you would do distributive property we know x= 3 so on the inside would be 32 now since we are doing distributive property you multiply 32x2 and 6x2

then you add them together and after you subtract 3 from 76 which = 73

Question

_______ is a solution to the equation 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7.
A.- x = 20
B.- x = 10
C.- x = 80

Answers

Answer:

C

Step-by-step explanation:

Answer:

C.- x = 80

Step-by-step explanation:

Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball's total pay p after selling d dollars of software.

Answers

Answer: p = 41250 + 0.08d

Step-by-step explanation:

From the question, we are informed that Mr Kimball sells computer software and that he earns a base salary of $41,250 and 8% commission on his sales.

The equation to represent Mr. Kimball's total pay p after selling d dollars of software will be:

p = 41250 + (8% × d)

p = 41250 + (0.08 × d)

p = 41250 + 0.08d

The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.

10:5
5:2
2:5

Answers

Answer:

2:5

Step-by-step explanation:fraction sighn is equivilent to ratio sighn.

The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.

Answers

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

461x84 in partial produts

Answers

Answer:

38724 is the answer but kinda confused on what u mean

Step-by-step explanation:

How many solutions does the equation have?
x^4 + 7x^2 – 144 = 0


Answers

Answer:

The equation has no real solutions. It has 2 imaginary, or complex solutions.

Step-by-step explanation:

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