Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation

T(x) = 27x + 11 t(x) = x - 3 t(x) = 30x + 180 t(x) = 11x + 27 Lisa is preparing to be a contestant on a quiz game show. She has

finlep [7]

<h2>Hello!</h2>

The answer is:

The function that can be used to determine the total number of pages that she will read after "x" days is:

$t(x)=11x+27$

From the statement, we know that Lisa's already read 15 plus 12 additional pages, that it's a fact that will not change over time. Also, we know that she is reading 5 plus 6 additional pages per day, so, the number of pages that she will read after "x" days.

So, determining the number of pages that she will read after "x" days, we have:

We are given that:

$AlreadyReadPages=15+12=27\\PagesToReadPerDay=5+6=11$

Then, writing the equation, we have:

$t(x)=11x+27$

Where,

$t=TotalPages\\x=days\\11=PagesToReadPerDay\\27=AlreadyReadPages$

Hence, the function that can be used to determine the total number of pages that she will read after "x" days is:

$t(x)=11x+27$

Have a nice day!

6 0

4 years ago

Prove that given any three consecutive integers, one of them is divisible by 3. Hint: What are the possible remainders when we d

juin [17]

Answer:

it is proved that from the any three consecutive integers one of them is divisible by 3.

Step-by-step explanation:

Let the first integer = x

The second consecutive integer = x + 1

The third consecutive integer = x + 2

Case 1. take x = 1

The value of first integer = 1

The value of second integer = 1 +1 = 2

The value of third integer = 1 + 2 = 3

Here the third integer is divisible by 3.

Case 2. take x = 2

The value of first integer = 2

The value of second integer = 2 +1 = 3

The value of third integer = 2 + 2 = 4

Here the second integer is divisible by 3.

Case 3. take x = 3

The value of first integer = 3

The value of second integer = 3 +1 = 4

The value of third integer = 3 + 2 = 5

Here the first integer is divisible by 3.

Thus it is proved that from the any three consecutive integers one of them is divisible by 3.

8 0

3 years ago

A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co

AlladinOne [14]

Answer:

$y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Step-by-step explanation:

Let x represent the time, in minutes, of her original flight plan.

Let y represents the time, in minutes, of her new flight plan.

The time of Original flight schedule = 4:00 pm

The number of minutes delayed by Original flight = 15 minutes

As the new flight plan is two times faster than original flight plan.

So, the equation of new flight plan will be:

$y = \frac{1}{2}x$

$y = \frac{x}{2}$

But, the original flight plan was delayed by 15 minutes. Hence, the equation to predict the number of minutes after 4:00 pm she will arrive at her destination will become:

$y = \frac{x}{2}+15$

So, $y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Keywords: equation, problem solving, word problem

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4 0

4 years ago

Read 2 more answers

Graph the line with this equation

dangina [55]

Answer:

I hope this helps

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more pac

Charra [1.4K]

Answer:

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

7 0

3 years ago