After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.


What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

4(x − 3) − 5(x + 1) = 3

The first thing would be distribute the 4 and the 5 respectively

4x-12 -5x-5 =3

The answer is -7 (option A)

Steps are in the attachment.

_________

Hope it helps ✌

Answer:

equation: 10.00+2.50h=7.00+4.00h

10+2.5h-4h=7

10-1.5h=7

-1.5h=7-10

1.5h/1.5=-3/1.5

h=2

The length is 5 units.

Answer:

1

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

Answer:

[tex]a^{\frac{15}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

([tex]a^{\frac{1}{2} }[/tex] × a)^5

= [tex](a^{\frac{1}{2}+1) }[/tex]^5

= [tex](a^{\frac{3}{2}) } ^{5}[/tex]

= [tex]a^{\frac{15}{2} }[/tex]

Answer:

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

Compare and solve for p:

Answer:

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

Answer:

8y - 80

Step-by-step explanation:

    Perimeter, put simply, is all of the sides added up together. It will look like this:

(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)

    Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:

4(2y -10)

    Now we will distribute:

8y - 80

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Its jsut combining like terms

Perimeter is basically the out sides all  added up in this case everything is equal

so its

2y-10+2y-10+2y-10+2y-10

8y-40

8y-40 is your final answer

Answer:

  13 refrigerators and 7 pianos will NOT overload the truck

Step-by-step explanation:

For x refrigerators, their total weight is 300x.

For y pianos, their total weight is 525y.

The total weight of both of these together must not exceed 7600, so the inequality is ...

  300x +525y ≤ 7600

__

The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.

__

Check

  300(13) +525(7) = 7575 . . . this is less than 7600

Answer:

Step-by-step explanation:

Represent the number of refrigerators by r and that of pianos by p.

Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.

Find the total weight of the load consisting of 13 refrigerators and 7 pianos.   The inequality given above becomes:

w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb

w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:

w(13, 7) = 3900 lb + 3675 lb = 7575 lb

Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

[tex]\frac{3}{7} (70) = 30[/tex]

[tex]\frac{4}7} (70) = 40[/tex]

Answer:

Step-by-step explanation:

-1/y

Answer:

conversions are below

Step-by-step explanation:

b) 25 m³ = 882.867 ft³

c) 11 ft² = 1584 in²

Answer:

24

Step-by-step explanation:

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

Step-by-step explanation:

x, y are the 2 numbers

x + y = 24

x - y = 5

x = y + 5

and that in the first equation

y + 5 + y = 24

2y = 19

y = 9.5

x = y + 5 = 9.5 + 5 = 14.5

the 2 numbers are 9.5 and 14.5.

Answer:

13/8-3/4. LCM=2×2×2=8

= find the LCM of the denominators. 2 8 4

= 13 -6 /8 2. 4. 2

= 7/8 2 2. 1

; 1. 1

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

[tex]15 \times   (1 + .6) = 24 \: \: \: liters[/tex]

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help