7( x-2) -3(x+3) = 5(x-3) + x

Answer: Four adults

Step-by-step explanation: 4 x 35 = 140. There are no children, so you can just ignore 20y (I hope this helps!)

If no children will go to the amusement park then a total of 4 adults can go to the amusement park for $140. Hence, option C is correct.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.

You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity. It is not an equation if there is no "equal to" sign in the statement.

The given equation is :

35x + 20y = 140

Cost of adults to go to the amusement park, (x) = $35 and,

Cost of children going to the amusement park, (y) = $20.

If no children are going to the amusement park, then the number of adults who can go to the park is :

35x + 20(0) = 140

35x = 140

x = 140/35

x = 4.

Hence, this concludes that option C is correct.

To get more information about Equations :

https://brainly.com/question/10413253

#SPJ5

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

Answer:

The y intercept is -2

Step-by-step explanation:

The line passes through the Y-axis at one point, that point is -2. This therefore, is the Y-intercept.

Statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].

" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."

According to the question,

Form the given graph of the function local minimum is given by

a. Over the interval [tex][-3, -2][/tex], the local minimum is [tex]0[/tex]:

From the graph value of y coordinate at [tex]x= -3[/tex] is closest to [tex]-6[/tex]. As per given statement local minimum is zero . [tex]-6 < 0[/tex]

At [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 > 0[/tex]

Therefore , local minimum [tex]=0[/tex]  is not a correct option.

b.  Over the interval[tex][-2, -1][/tex], the local minimum is [tex]2.2.[/tex]

From the graph at [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 \neq 2.2[/tex].

Moving from [tex]-2[/tex] to [tex]-1[/tex] graph is increasing . At [tex]-1[/tex] y - coordinate is equals to [tex]2[/tex].

Again [tex]2\neq 2.2[/tex]

Therefore, it is not a correct option.

c.  Over the interval[tex][-1, 0.5][/tex], the local minimum is [tex]1[/tex]

From the graph at [tex]-1[/tex] closest to [tex]2[/tex] ,and keep on decreasing till [tex]x=0[/tex] .

From [tex]0[/tex] to [tex]0.5[/tex] graph keep on increasing.

At [tex]x= 0[/tex] value of y-coordinate is equals to [tex]1[/tex] , which represents the local minimum at [tex]x= 0[/tex] which is in the interval [tex][ -1, 0.5][/tex]

At [tex]x= -1[/tex] y- coordinate is equals to [tex]2[/tex]

At  [tex]x= 0.5[/tex] y- coordinate is equals to [tex]2[/tex]

Local minimum [tex]= 1[/tex] at [tex]x=0[/tex]

Therefore, it is a correct option.

d. Over the interval [tex][0.5, 2],[/tex] the local minimum is [tex]4.[/tex]

In the given interval graph keeps on increasing [tex]1[/tex] to [tex]4[/tex] and so on.

It is not a correct option.

Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].

Learn more about graph here

https://brainly.com/question/16608196

#SPJ2

Answer:

the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5

Answer:

[tex]4p\: > 22[/tex]

[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]

The expression of inequality four times a number p is more than 22 is

4p > 22.

Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.

Given statement four times a number p is more than 22.

As it is stated more than we have to form an inequality strictly greater than 22 which is,

4p > 22.

p > 22/4.

p > 5.5.

This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.

learn more about inequality here :

https://brainly.com/question/20383699

#SPJ2

Answer:

850

Step-by-step explanation:

2×400=800

2×20=40

2×5=10

800+40+10=850

Answer:

171/56

Step-by-step explanation:

convert the mix number to an improper fraction then calculate your income

Answer:

I think it would be 8 1/7  if im wrong im srry!

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You go to the point a1,2 ant take out the cross that intersects there. you then find the determinant

[12 24 ]

[-4 -7 ]

12(-7) - (-4)(24)

-84-(-96)

-84+96=12

I hope this helps, not sure what the whole question or the directions where but this is what i got from what you gave me. good luck!

Answer:

5 cubic in. would be the length of each edge.

Step-by-step explanation:

volume = length * width * heigh

125 = 5 * 5 * 5

Answer:

the first question is right the next about the sea level i think would be 7.92 then the last would be the value of x should be greater than or equal to -5

Step-by-step explanation:

Answer:

5.87

Step-by-step explanation:

4,700 divided by 800=5.875

Answer: 0.0337

Step-by-step explanation:

Answer:

The answer is 3/89 as a fraction or 0.03370786517 as a decimal

Answer:

Lin will run 1 mile in 8/55 of an hour

Noah will run 1 mile in 2/13 of an hour

Step-by-step explanation:

Here;

Lin ran 2 3/4 miles in 2/5 of an hour

he will run 1 mile in x hour

x * 2 3/4 = 2/5 * 1

2 3/4 = 11/4

x * 11/4 = 2/5

x = 2/5 * 4/11

x = 8/55 hour

For Noah

8 2/3 miles in 4/3 of an hour

1 miles in y hours

y * 8 2/3 = 4/3 * 1

y * 26/3 = 4/3

y = 4/3 * 3/26

y = 4/26 = 2/13

He will run 1 mile in 2/13 hours

Answer:

what's the value for x makes this equation true 3/5 X-0.5=19 ​  HERE YOU GO!!

Step-by-step explanation:

-5x - (-7 - 4x) = -2(3x - 4)

-5x + 7+ 4x = -6x + 8

-x + 7= -6x + 8

5x = 8 - 7

5x = 1

x = 1/5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

3x = 6 + 5 is an equation.

We have,

3/5x - 0.5 = 19

Add 0.5 on both sides.

3/5x = 19 + 0.5

3/5x = 19.5

Multiply 5/3 on both sides.

x = 19.5 x 5/3

x = 32.5

Thus,

The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

The simplification of the given equation [tex](-2x)^4[/tex] is [tex]16 * x^4[/tex].

Exponents are mathematical notation used to indicate repeated multiplication of a number or expression by itself.

They are written as superscript numbers or symbols placed to the right and slightly above the base number or expression.

To simplify (-2x)^4, you can apply the power rule for exponents.

(-2x)^4 can be expanded as follows:

(-2x)^4 = (-2)^4 * x^4

Now, evaluate the exponent of the base -2 and x:

(-2)^4 = 16

Thus, the simplified expression is: [tex](-2x)^4 = 16 * x^4[/tex]

For more details regarding exponents, visit:

https://brainly.com/question/5497425

#SPJ6

Answer:

y intercept is (0, 1)

slope is 3

equation is y = 3x +1

Step-by-step explanation:

You find the y intercept when x equals 0 and you can see that on the table that is 1.

You find slope by y2-y1 divided by x2-x1. if you pick (0,1) and (1,4) it is 4-1/1-0 which equals 3.

Therefore the equation is y = 3x + 1 in slope intercept form because the slope is 3 and y int is 1.

Answer:

Step-by-step explanation:

Answer:

can u add the question so we can help?

Step-by-step explanation:

Answer:

A proportional relationship exists between two values x and y when they can be expressed in the general form.       Hope this helps

Step-by-step explanation:

Answer:

It's false , hope that helps <3

Step-by-step explanation:

Answer:

fhcchjgcdhj cell

uyyjfgwfyrrfascfavczffbczxvvsfcf

Answer:

2nd one

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

-6 -(-2) can also mean -6+2 because the (-) in that equation can also mean -1, so a negative time a negative is a positive.

so, there is -6 and ur adding 2 to it, which is -4

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Answer:

[tex]m(4)=90 \\ m = \frac{90}{4} \\ m = 22.5[/tex]

Answer:

Step-by-step explanation:

y = total number charged.

x = number of animals vaccinated.

If she charges $20 as a base, this means it is a constant value.

She also charges $10 for each animal vaccinated, this can be written as 10x.

Therefore the equation for the total number charged (y) can be written as:

Total amount charged = $20 + $10 for every animal vaccinated.

y = 20 + 10x