Which of the following is true?

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

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Answer:

K would be 8

Step-by-step explanation:

8-2 = 6

6/3 = 2

Answer:

y = 2/5x - 5

Step-by-step explanation:

(-10,-9) and (10,-1)

Slope: (-1 - - 9) / ( 10 - - 10)

Slope = 8/20 = 2/5

b = -9 - (2/5(10)

b = -5

The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (-1 - - 9) / ( 10 - - 10)

m = Slope = 8/20 = 2/5

Now intercept;

b = -9 - (2/5(10)

b = -5

Now Write the equation as

y = 2/5x - 5

Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

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Answer:

The value of 3 is in the three-hundred thousands place

300,000

Answer:

53010000

Step-by-step explanation:

Answer:8.72

Step-by-step explanation:

26.16/3=8.72

Answer:

Cost per pound = $8.72

Step-by-step explanation:

Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.

$26.16 ÷ 3 pounds = $8.72 per pound of turkey

Answer:

2 2/5.

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

just took the test

The correct answer is 336.

By using the arrangement calculation formula:

⇒ [tex]A^{3}[/tex][tex]^{8}[/tex]  

⇒ 8 × 7 × 6

⇒ 336

The correct answer is 336.

Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

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Answer:

5t - 18

Step-by-step explanation:

STEP 1: Simplify 8/5

equation at end-                                                                                                           8 (7 - 3t) -  (5 • ((0 -  (— • t)) +  5)) 5          

STEP 2:          2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

      5     5 • 5

   5 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

\2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8t + 5 • 5     25 - 8t

———————————  =  ———————

EQUATION AT END:  (25 - 8t)

 (7 - 3t) -  (5 • —————————)

                      5    

STEP 3:  (7 - 3t) -  (25 - 8t)

Answer:  I don't known b ???????

Step-by-step explanation:

Step-by-step explanation:

step one Choose C

Answer:

as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞  - Second option

Step-by-step explanation:

If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

=27a^12b^9

Answer:

27(a^12)(b^9)

Step-by-step explanation:

Can be reorganized to (3^3)((a^4)^3)((b^3)^3)

27(a^12)(b^9)

Answer: C

Step-by-step explanation: I hope its right mark me brainliest plss

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The Correct choice is :

Well, I would take a guess and say 11 because 9 + the 2 other decimal points = 11 im not sure if that's correct if its not... please correct me

Hope this helps :)

Answer:

8.25

Step-by-step explanation:

Step-by-step explanation:

f(7) = 34

7² -5(7) +k = 34

49-35+k =34

14+k = 34

k = 34-14

k = 20

__________

[tex] \: [/tex]

f(x) = x² - 5x + k

f(7) = 34

Soo :

f(7) = 34

(7)² - 5(7) + k = 34

49 - 35 + k = 34

14 + k = 34

k = 34 - 14

k = 20✔

4

Step-by-step explanation:

(n + 5)² for n = -7

= (-7 + 5)²

= (-2)²

= 4

Answer:

y=6x-506

Step-by-step explanation:

Start by finding the slope.

Let your x-axis be temperature and you y-axis be chirps per minute.

This leaves you with your two points to find slope.

The first point would be (100,94) and your second point would be (103,112).

From here we can do the standard slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{112-94}{103-100}[/tex]=[tex]\frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] Is your slope for the line which can be simplified to 6.

Next find your y-intercept. This can be found by moving around your

y=mx+b equation.

y-mx=b

Pick a point to substitute into the equation. Ill use (103, 112).

[tex]112-6(103)=b[/tex]

[tex]112-618=b[/tex]

[tex]-506=b[/tex]

[tex]b=-506[/tex]

Knowing slope and the y-intercept we can write the slope intercept equation

y=6x-506

Answer:

-2.5 :3

Degrees Farenheit!

Step-by-step explanation:

k12

hope this helped!

Please give me the crown.

~Happy Helper~

Based on the temperature change and the amount of time it did so, the average change in temperature per hour is -3.5°F.

The average change in temperature per hour can be found by:

= Temperature change / Number of hours

Solving would give:

= -23.8 / 6.8

= -3.5°F

We can therefore conclude that in every hour of this cold day, the temperature changed by an average of -3.5°F.

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Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Answer:

1,4

Step-by-step explanation:

trust me.........................well I am a stranger but trust I guess

Answer:

This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half

Answer:

x ≥ - 1

Step-by-step explanation:

10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )

8x + 5 ≥ - 3 ( subtract 5 from both sides )

8x ≥ - 8 ( divide both sides by 8 )

x ≥ - 1

Answer:

The father was twice as old as his son when he (the father) was 62 years old.

Step-by-step explanation:

(Assuming s = current age:)

f = 3(s-15)

f = 4(s-19)

3s-45 = 4s-76

31 = s

Answer:

y = -2

Step-by-step explanation:

The graph passes through (0,0) and (-1,2).

The equation of a line passing through the origin is of the form,

y = mx

We now substitute (-1,2) to obtain,

2 = -m

This implies that,  

m = -2

The equation is

y = -2

I also took the test I got it right

9514 1404 393

Answer:

Step-by-step explanation:

Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...

  5(40 -d) +10(d) = 290

  200 +5d = 290

  5d = 90

  d = 18

  40 -d = 22

There are 22 nickels (and 18 dimes).

_____

Additional comment

If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.

Answer:

3x+5

Step-by-step explanation:

The base has length 3x+5. You answered your own question darling