Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .

Answer:

basketball game tickets: $7.25;

football game tickets: $6.50

Step-by-step explanation:

Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.

Amount for basketball ticket plus amount for football tickets equal the total cost.

4B + 5F = 61.50

5B + 3F = 55.75

Choose one equation in the system to solve for a variable.

Solve the first equation for F.

4B + 5F = 61.50  

5F = −4B + 61.50  Subtract 4B from both sides.

F = −0.8B + 12.30  Divide both sides by 5.

Substitute the expression −0.8B + 12.30 for F in the other equation.

5B + 3F = 55.75  

5B + 3(−0.8B + 12.30) = 55.75  Substitute.

5B − 2.4B + 36.90 = 55.75  Distribute.

2.6B + 36.90 = 55.75  Combine like terms.

2.6B = 18.85  Subtract 36.90 from both sides.

B = 7.25  Divide both sides by 2.6.

Substitute the B-value into one of the original equations to solve for F.

4B + 5F = 61.50  

4(7.25) + 5F = 61.50  Substitute.

29 + 5F = 61.50  Multiply.

5F = 32.50  Subtract 29 from both sides.

F = 6.50  Divide both sides by 5.

The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.

The cost of basketball game tickets is $7.15 and football game ticket is $6.5

Let the cost of a basketball game ticket be x

Let the cost of football game ticket be y

If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;

4x + 5y = 61.50 ..................1

If  5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;

5x + 3y = 55.75 ...........................2

Solving 1 and 2 simultaneously

4x + 5y = 61.50 ..................1 * 3

5x + 3y = 55.75 ...........................2 * 5

_________________________________

12x + 15y = 184.5

25x + 15y = 278.75

Subtract

12x - 25x = 184.5 - 278.75

-13x = -94.25

x = 7.25

Substitute x = 7.25 into equation 1:

From 1:

4x + 5y = 61.50

4(7.25) + 5y = 61.50

29 + 5y = 61.50

5y = 61.50 -29

5y = 32.5

y = 32,5/5

y = 6.5

Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5

Learn more here:

https://brainly.com/question/15165519

[tex] \frac{ - 3}{5} - ( \frac{ - 2}{5} ) \\ = \frac{ -3 }{5} + \frac{2}{5} \\ = \frac{ - 3 + 2}{5} \\ = \frac{ - 1}{5} [/tex]

Answer:

[tex] - \frac{3}{5} - ( - \frac{2}{5} )[/tex]

[tex] - \frac{3}{5} + \frac{2}{5} [/tex]

[tex] \frac{ - 3 + 2}{5} [/tex]

[tex] - \frac{ 1}{5} [/tex]

Answer:

[tex] \frac{3x + 4}{y} = \frac{3(6) + 4}{(2)} \\ = \frac{18 + 4}{2} = \frac{22}{2} \\ = 11[/tex]

Answer:

let x be the smaller number.

let x + 2 be the larger number.

4 times the smaller number is 2 more than 3 times the larger number.

in equation form, this becomes:

4x = 3 * (x+2) + 2

simplify this to get:

4x = 3x + 6 + 2 which becomes:

4x = 3x + 8

subtract 3x from both sides of this equation to get:

x = 8

this means that x+2 = 10

the smaller number is 8 and the larger number is 10.

4 times the smaller number is equal to 32.

3 times the larger number + 2 is equal to 32.

requirements of the problem check out ok, so the solution is good.

the smaller number is 8.

the larger number is 10.

Step-by-step explanation:

please mark me as the

Answer:

[tex]y=\frac{1}{2} x-40[/tex]

Step-by-step explanation:

Slope interccept form: y=mx+b

(m= the slope, b= the y-intercept (the y value when x=0))

for every 2 x-values the y-value increases by 1. Slope is written as  [tex]\frac{rise}{run}[/tex] or  [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex] which is the change in the y-values divided by the change in x-values. You can find the slope by plugging in points.

[tex]\frac{(-42)-(-41)}{(-2)-(-4)} =\frac{1}{2\\}[/tex]     so now you have [tex]y=\frac{1}{2}x+b[/tex]

b is whatever the value of y is when x=0. According to the table when x=0 then y=-40. The final equation is [tex]y=\frac{1}{2} x-40[/tex]

Answer:

(0,-6)

Step-by-step explanation:here the answer

Answer:

89

Step-by-step explanation:

Answer:

k = -2x + 1

Step-by-step explanation:

Assuming slope is -2 (and not -=2)

9 = -4(-2) + b

9 = 8 + b

b = 1

Answer: 6

Step-by-step explanation:

12x - 2 = 12x

Step 1:

12x - 12x = 0

Step 2:

Bring down your -2 and your x

Answer:

x = -2

Answer:

In order to make g as the subject, we have only g on the left side and rest of the terms are denoted on the right. So, we consider it as X=3g+2 and switch to other side's 3g+2=x. It has to divide both sides by 3 and literally consider for g=1/3x-2/3 and therefore answer is g=1/3X-2/3.

Answer:

q = [tex]\frac{6+3p}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )

5(p + q) = 6 + 8p ← distribute parenthesis on left side )

5p + 5q = 6 + 8p ( subtract 5p from both sides )

5q = 6 + 3p ( divide both sides by 5 )

q = [tex]\frac{6+3p}{5}[/tex]

Answer:

Fly is any of a large number of insects characterized by the use of only one pair of wings for flight and the reduction of the second pair of wings used for balance. The term fly is commonly used for almost any small flying insect

Step-by-step explanation

i just searched it up

Answer:

52% and 7

Step-by-step explanation:

There are 25 squares of which 13 are shaded , then

[tex]\frac{13}{25}[/tex] × 100% = 13 × 4% = 52°

(b)

1 square represents [tex]\frac{1}{25}[/tex] × 100% = 1 × 4% = 4%

Then 80% = 80% ÷ 4% = 20

That is for 80% , 20 squares require to be shaded

That is 7 more than the 13 already shaded

Answer:

Mike saved 54 dollars

Step-by-step explanation:

because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves  a lot of money.

Answer:The answer is option B

Step-by-step explanation:

To get the balance, the amount given to each employee should be multiplied by the total employees then the total surplus should be subtracted from the suplus distributed among the employees to get the remaining surplus

Answer:

5

Step-by-step explanation:

W = x

L = x + 3

P = 2W + 2L

26 = 2(x) + 2(x + 3)

26 = 2x + 2x + 6

26 = 4x + 6

26 - 6 = 4x

20 = 4x

x = 5

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

Answer:

what are we finding the values of there should be a picture or something

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Weight decreased = 108 - 88 =  20 Kg

Percentage decrease = [tex]\frac{20}{108}*100[/tex]

                   = 18.52%

Answer:

-155.15

-223.75

Step-by-step explanation:

Transaction 1 was a deposit of 360. The account had nothing in it before that deposit. After the 360 deposit the balance is 360.

Transaction 2 is -22.50. That means 22.50 was withdrawn (taken out) from the account. The balance after transaction 2 is 360 - 22.50 = 337.50.

Before transaction 3 takes place, the balance is 337.50.

After transaction 3 takes place, the balance is lower. It is now 182.35.

The amount of money taken out in transaction 3 is 337.50 - 182.35 = 155.15. Transaction 3 is -155.15.

The balance after transaction 3 is 182.35. The balance after transaction 4 is -41.40 which is lower than 182.35, so transaction 4 is again withdrawing money from the account.

The amount of transaction 4 is:

182.35 - (-41.40) = 223.75

Transaction 4 is: -223.75

Answer:

-155.15

-223.75

Answer:

51.2 degrees Celsius

Step-by-step explanation:

Answer:

very hard

this is a really hard problem but ignore the graph and pay attention to the numbers

Step-by-step explanation:

Answer:1/2 (1 over 2)

Step-by-step explanation:

Answer:

get it from some else pllease

Step-by-step explanation:

type this in

The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.

Answer:

Step-by-step explanation:

The 124° angle is exterior to the given triangle.

The exterior angle is the sum of non- adjacent interior angles:

Sum.of two interiors=Exterior

Answer:

rational number

Step-by-step explanation:

A rational number cannot be divisible by multiple factors. (hint. every number is divisible by itself and 1)

Answer:

it is

Step-by-step explanation: