This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Write an algebraic expression for the approximate number of names in p pages of the directory
.

(a)

Let's assume

y is total cost

x is number of ride tickets

(b)

Since, this is linear relationship

so, we can assume equation as

[tex]y=mx+b[/tex]

The Fall Festival charges $0.75 per ticket for the rides

so,

[tex]m=0.75[/tex]

we can plug it

[tex]y=0.75x+b[/tex]

Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival

so, we have

at x=18 , y=33.50

we can use it to find b

[tex]33.5=0.75*18+b[/tex]

now, we can solve for b

[tex]b=20[/tex]

we can plug it back

and we get

[tex]y=0.75x+20[/tex]

(c)

we got

[tex]y=0.75x+20[/tex]

here ,

y is the cost for anyone who only pays for festival admission and rides

x is number of admission

so, our equation will give total cost

Step 1 : (5x-4)/2 = 2x-1                     [Given]

Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1)                 [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]

Step 3 : (5x-4) = 4x-2                     [By Distributive Property]

Step 4 : 5x - 4 + 4 = 4x - 2 + 4                     [By addition property of equality i.e.  by adding both sides of the equation by same number]

⇒ 5x = 4x + 2

Step 5 : 5x - 4x = 4x + 2 - 4x                      [By subtraction property of equality i.e.  by subtracting both sides of the equation by same number]

⇒ x = 2

Answer:

Step 1 : (5x-4)/2 = 2x-1                                {Given}

__________________________________________________________

Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1)               {Multiplicative Property}  

__________________________________________________________

Step 3 : (5x-4) = 4x-2                                   {Distributive Property}

__________________________________________________________

Step 4 : 5x - 4 + 4 = 4x - 2 + 4                     {Addition property}

 5x = 4x + 2

__________________________________________________________

Step 5 : 5x - 4x = 4x + 2 - 4x                     {Subtraction property}    

x = 2

Answer:

c is correct thank you

Step-by-step explanation:

got it correct on edg.

The  equation of the circle shown in the graph will be (x - 3)² + (y)² = 4

The standard equation of a circle is given as:

(x - a)² + (y- b)² = r²

where:

(a, b) is the centre

r is the radius of the circle

Assume the centre of the circle is (3, 0) and the radius of 2

Substitute to have:

(x - 3)² + (y-0)² = 2²

(x - 3)² + (y)² = 4

Hence the  equation of the circle shown in the graph will be (x - 3)² + (y)² = 4

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So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":

[tex]a(a^2+4a+4)[/tex]

Next, we are going to apply the square of binomials rule in this situation, which is [tex](x+y)(x+y)=x^2+2xy+y^2[/tex] In this case:

[tex]a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)[/tex]

Your final answer is [tex]a(a+2)(a+2)[/tex]

It would be 4(12 + 6). The answer to this is 7.

Hope that helps :)

Okay for this problem you can multiply 6 by 4.5 aand get 27 as your answer.

So 6×4.5=27 miles in 4.5 hours

We need to graph a function and use that graph to estimate how many miles lava moves in 4.5 hours.

The graph and estimations can be seen at the end of the answer.

Let's see how to graph this:

We know that the function is y= 6*x

What we need to do, is find two points in the that belong to the line, to get that, we need to evaluate the function in two points:

if x = 0:

y = 6*0 = 0

Then we have the point (0, 0)

if x = 1:

y = 6*1 = 6

Then we have the point (1, 6)

Now to graph the function, we just need to find these two points and draw a line that connects them.

A graph is shown at the end of the answer.

To estimate the distance that the lava has moved in 4.5 hours, we need to find the value 4.5 in the x-axis, then we draw a vertical line that passes through there.

In the point where this vertical line intersects the graph, we draw a horizontal line.

That horizontal line will intersect the y-axis in the correspondent y-value to x = 4.5

An example of this can be seen in the image below, my estimation is that the lava has moved something near 26 miles.

If you want to learn more, you can read:

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The nearest thousandth is 1.298. You get this because you don't round the 3 up, it is too small. If it was 5 or higher, then you would round up. Is this helpful? I hope it is.

The given decimal number rounded to the nearest thousandth is 1.298.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

The given decimal number is 1.2983.

To the nearest thousandth:

In the place ten thousandth, number 3 is there

Here, 1.298

Therefore, the given decimal number rounded to the nearest thousandth is 1.298.

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The modified recipe will make a total of 10 servings.

Since Marcus is using 5 eggs in the modified recipe instead of 3, we can calculate the ratio as follows:

Ratio = (Number of eggs in modified recipe) / (Number of eggs in original recipe)

Ratio = 5 eggs / 3 eggs

Next, we need to apply this ratio to the number of servings in the original recipe. Since all other ingredients are being increased proportionally, the number of servings will change accordingly.

Total Servings in Modified Recipe = (Number of servings in original recipe) * Ratio

Given that the original recipe makes 6 servings, we can substitute the values:

Total Servings in Modified Recipe = 6 servings * (5 eggs / 3 eggs)

Total Servings in Modified Recipe = 6 * (5/3)

Total Servings in Modified Recipe = 10

Therefore, the modified recipe will make a total of 10 servings.

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For this case we have:

The division given by:

102 ÷ 3 = 34

To verify its result we use multiplication as a reverse operation, that is:

We multiply the quotient by the divisor and its result must be the dividend.

So:

[tex](34) (3) = 102\\[/tex]

Answer:

Multiplication, [tex](34) (3) = 102[/tex]

C: an employ is paid $12 for each hour worked

most likely it would be less than

The product of the functions f(x) and g(x), (f • g)(x), is found by multiplying the two functions together. The resulting function is 2x^3 + 5x^2 - x - 6.

The question is asking for the product of functions f(x) and g(x), denoted as (f • g)(x). To find (f • g)(x), we simply have to multiply function f(x), which is 2x^2 + x - 3, and function g(x), which is x + 2, together.

Let's do it: (2x^2 + x - 3) * (x + 2). Multiplying these two functions out, we get: 2x^3 + 4x^2 + x^2 + 2x - 3x - 6. Simplifying these, we arrive at 2x^3 + 5x^2 - x - 6.

So, (f • g)(x) = 2x^3 + 5x^2 - x - 6.

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Answer:

I would say you lifeGuarding

Step-by-step explanation:

Answer:

Its lifegaurding doing the quiz rn

Step-by-step explanation:

If ^ was meant to be multiplication, the answer would be -159.

Answer:

The Answer is: -116

(sorry I'm 3 years late...)

Step-by-step explanation:

Here we are given the formula for compound interest as :

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here

A= Amount

P=Principal

r=rate of interest

n=number of times interest is compounded per year

t=time(years)

So we are given

P= $400

r=4% or 0.04

t= 11 years

n= 12

Plugging these values in the formula for compound interest we have,

[tex]A=400(1+\frac{0.04}{12})^{12*11}[/tex]

A= $620.6286

Amount = $620.6

Answer: The final amount after 11 years will be $620.6 .

To find the value of $400 invested at 4% interest compounded monthly for 11 years, use the compound interest formula A(t) = P(1 + r/n)^(nt) and solve for A(t). After calculations, the amount comes to approximately $660.44 when rounded to the nearest cent.

To calculate the future value of $400 invested at 4% interest compounded monthly over 11 years, we can use the compound interest formula provided: A(t) = P(1 + r/n)^(nt). In this formula, P represents the principal amount ($400), r is the annual interest rate (0.04), n is the number of times interest is compounded per year (12 for monthly compounding), t is the number of years the money is invested (11 years), and A(t) is the amount of money accumulated after t years, including interest.

Using the formula:

The calculation is as follows:

A(t) = $400(1 + 0.003333...)¹³²

A(t) = $400(1.003333...)¹³²

A(t) = $400(1.6511)

A(t) = $660.44

After rounding to the nearest cent, $400 invested at 4% interest compounded monthly for 11 years would be worth approximately $660.44.

Answer: [tex]y=1.6x+6.8[/tex]

Step-by-step explanation:

1. The equation of a regression line has the following form:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

2. You need to calculate the slope with the points given in the exercise:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

3. Substitute values:

[tex]m=\frac{18-10}{7-2}[/tex]

[tex]m=\frac{8}{5}=1.6[/tex]

4. Now, you must calculate [tex]b[/tex]:

-Substitute the value of the slope into the equation above.

- Take one of the given points and substitute them into the equation.

Then:

[tex]y=mx+b\\10=(1.6)(2)+b\\b=10-3.2\\b=6.8[/tex]

5. Therefore, the equation is:

[tex]y=1.6x+6.8[/tex]

Answer: 75 customers

Step-by-step explanation:

hey! so for this question you have to cross multiply and divide.

1/12 = 900/1 so 1 times 900 is 900 then divide that by 12 which is 75.

Hope this helps!!

75+65w≥635

This is the inequality because you already saved 75 so you just add it to the amount you save after a certain amount of weeks. It needs to be more than 635 for the the trip.

[tex]-\frac{10}{27}[/tex]  hope this helps :)

To travel 2600 miles in a hybrid car with a fuel efficiency of 45 mpg, it would require approximately 57.78 gallons of gas.

To calculate the amount of gas needed for a hybrid car to travel 2600 miles with a fuel efficiency of 45 miles per gallon (mpg), you can use the formula:

So, it would take approximately 57.78 gallons of gas to travel across the country in a hybrid car with a fuel efficiency of 45 mpg.

1. Express the ratio in three different ways (grey and white)

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

-[tex]2[/tex] to [tex]5[/tex]

-[tex]2:5[/tex]

2.  *(Integer)*       *(Opposite)*         *(Absolute Value)*                                                                        

         3                        -3                               3

       -4                         4                                4

        8                       -8                                 8

3. Write an expression to represent:

- "A number n divided by 6" = [tex]\frac{n}{6}[/tex] or [tex]n[/tex]÷[tex]6[/tex]

4. Solve. Show your work.

- [tex]27.9+212.5=240.4[/tex]

- [tex]175.5-12.7=162.8[/tex]

5. Shade the blocks

- [tex]975[/tex]÷[tex]6=162.5[/tex]

- [tex]478[/tex]·[tex]38=18,164[/tex]

1. 4 shirt for 32.00

- Rate: [tex]x[/tex]·[tex]32[/tex]        This rule only happens if there are 4 shirts.

- Unit Rate: [tex]\frac{32}{4}=8[/tex]      It cost $8 for every shirt is bought

2. Write every form from illustration.

- Fraction: [tex]\frac{30}{100}=\frac{3}{10}[/tex]

- Decimal: [tex]0.3[/tex]

- Ratio: [tex]30:100[/tex] or [tex]3:10[/tex]

- Percentage: [tex]30[/tex]%

3. What is 50% of 80?

- Your answer is correct

4. Ken grew [tex]\frac{4}{5}[/tex] of an inch last year. Sang grew [tex]\frac{3}{8}[/tex] of an inch. Who grew more and by how much?

- Your answer is correct

5. Complete the table and then graph the coordinates.

- Attachment for this question

1·x-x/1     1·x=x

=x-x/1      x/1=x

=x-x

=0

1·x-x/1=0

Answer:

Your answer is 0

Step-by-step explanation:

1 times x and x/1 are the reciprocals of each other and when something is multiplied by its reciprocal the product is always 0

Remark

The general formula is fraction * solid food = amount

Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz

Total amount = 3/2 oz + (9/4) oz + 2/3 oz

The lowest common denominator of  2 4 and 3 = 12

Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4

Total amount = 18/12 + 27/12 + 8/12

Total amount = 53/12 = 4 5/12 <<< Answer oz of food.

4.42 oz of food <<<< Answer

.57 times 100=  57. you moe the decimal 2 places to the right

do -45 times 5, and you will get -225

Answer:

In 5 weeks they will have the same amount.

Step-by-step explanation:

1. You have that Tyronne has $60, she gets $5 each week and also gets an additional $10 each week. She saves her money. Therefore, you can write the following expression:

[tex]60+5x+10x\\60+15x[/tex]

Where [tex]x[/tex] is the number of weeks.

2. Her sister has $135, she gets $5 each week and also gets an additional $10 each week, but she spends this money. Therefore:

[tex]135+5x+10x-5x-10x\\135[/tex]

3. If this amounts of money will be equal, you have:

[tex]60+15x=135\\15x=75\\x=5[/tex]

4. Therefore, in 5 weeks they will have the same amount.

A perpendicular line has the negative reciprocal slope of the given line.

The slope of the given line is x/2, which can be written as 1/2x

The negative reciprocal of 1/2 would be -2

The equation for a line is written as y = mx +b, where m is the slope and b is the y-intercept.

We already have the slope ( -2)

So we can solve for b by replacing y x and m with the slope and the point given:

8 = -2(1) +b

8 = -2 + b

b = 10

The equation would be y = -2x + 10

To solve this we must isolate x which involves having the variables on one side and the numbers on the other.

First add 2m to both sides

3m+7/2=-2m+5/2

5m+7/2=5/2

Then we subtract 7/2 from both sides

5m+7/2=5/2

5m=-1

Finally we divide both sides by 5

5m/5=-1/5

Our final answer is -1/5

So the answer is B

Hope this helps!