Each page of a book measures 12 inches by 8 inches. The cover extends beyond the shorter side one half inch in both directions.

What is the perimeter of the book’s cover in inches?

the coordinates of the point of intersection of the graphs of lines with

y=−2x+7 and y=0.5x−5.5

to find intersection we solve for x  and y

We replace -2x+7 for y in the second equation

−2x+7 =0.5x−5.5

Subtract 0.5x from both sides

-2.5x + 7 = -5.5

Subtract 7 on both sides

-2.5x = -5.5 - 7

-2.5x = -12.5

divide by -2.5 from both sides

x = 5

Plug in 5 for x in y=−2x+7

y=−2(5)+7

y = -10 + 7

y = -3

The point of intersection is (5,-3)

This problem would be best modeled by an inequality.

Let t = the number of hours.

18 + 5t < 78

5t < 60

t < 12

The way the question sounds, it would not be a lessthan or equal to, because they want to spend less than 78.  It would be a less than or equal problem if they said "no more than 78"

7) 12 / 6  

(how many party favors can he give to 6 people if he has twelve? each person can get 2)

9) 2(12)    

(Each water bottle is two dollars, how many bottles did she buy? 12. 12 bottles at 2 dollars each would be $24)

24 + (8·10)

24 + 80

104 dollars after ten weeks

Anna picked 6 apples

Sabrina picked 7 times as many apples.

Multiply the two numbers together

6 x 7 = 42

Sabrina picked 42 apples

hope this helps

~Rise Above the Ordinary

Anna picked 6 apples. Sabrina picked 7 times as many apples. How many apples did Sabrina pick?

Times, means to multiply, take the only two numbers in the problem and multiply them together.

6 x 7 = 42  

~

The slope would be b.2

Answer:

Step-byhe slope is 4, or 4/1, and the y-intercept is 5, or (0, 5).step explanation:

[tex]\bf \stackrel{slope}{y=\stackrel{\downarrow }{4}x+5}~\hspace{5em}\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Solve both equations for x:

2x+7 = 3

2x = -4

x = -2

Plug x into the equation which contains b:

b(-2) -10 = -2

-2b = 8

b = -4

Answer:

b = -4

x = -2

To find the value of b so that the equations 2x+7=3 and bx-10=-2 have the same solution, solve the first equation for x, then use that value to solve for b in the second equation. The value of b is -4.

To find the value of b such that the equations 2x+7=3 and bx-10=-2 have the same solution for x, we need to solve the first equation for x.

Solving the equation 2x+7=3:

Subtract 7 from both sides: 2x = -4

Divide both sides by 2: x = -2

Now that we have the solution x = -2, we can plug this value into the second equation to find b:

bx - 10 = -2

Substitute x with -2: b(-2) - 10 = -2

Multiply b by -2: -2b - 10 = -2

Add 10 to both sides: -2b = 8

Divide both sides by -2: b = -4

Therefore, the value of b is -4.

Hey there!!

What are the factors of 36?

Ans :- 1 , 36 , 2 , 18 , 3 , 12 , 4 , 9 , 6

Which of these numbers add up to 15 ?

... 12 + 3 = 15

The number are 15.

They add up to 15 and both of these are factors of 36.

Hope my answer helps!!

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.

So yes.

Yes, 5.3 repeating is a rational number. It can be written as the fraction 53/9.

Yes, 5.3 repeating is a rational number. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, we can write 5.3 repeating as the fraction 53/9. The decimal 5.3 repeating means that the digit 3 repeats infinitely, so it can be written as 5.3333... In fraction form, this becomes 53/10 + 53/100 + 53/1000 + ...

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The answer demonstrates the associative property through the multiplication of 4x6x10, resulting in 240.

Multiplication Properties Illustrated in 4x6x10:

The property of associative property is illustrated in 4x6x10. This means that changing the grouping of the numbers being multiplied does not change the result.

Final answer:

The number of pages decreased from 32 to 28, which is a difference of 4 pages. Dividing by the initial number of pages and multiplying by 100 gives a decrease of 12.5%.

Explanation:

To calculate the percentage change when the number of pages in a document decreases from 32 to 28, we follow these steps:

Therefore, there is a 12.5% decrease when a document goes from 32 pages to 28 pages.

x- coordinate of vertex = - 3

the vertex lies on the axis of symmetry , which is positioned at the midpoint of the zeros

find the zeros by setting y = 0

(x - 6)(x + 12) = 0 ( equate each factor to zero and solve for x )

x - 6 = 0 ⇒ x = 6

x + 12 = 0 ⇒ x = - 12

x coordinate of vertex = [tex]\frac{- 12+6}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

2 and 3/5 is equal to 2.6.

Being as the 2 is in front of the fraction, it is the whole number. This means in decimal form, it is to the left of the decimal point. Since there is no "fifths place" in a decimal, you must make it so it can go under the tenths, hundreths, thousanths or another place within the right side of the deciamal point. Simply multiplying 3/5 by 2/2 will give you 6/10. 6/10 as a decimal, is 0.6. Finally, add 0.6 and 2 together. Thus making 2.6 the answer.

I hope this helps!

Your profit per lawn is [tex]payed \minus cost[/tex] which is [tex]35 \minus 6 = 29[/tex].

If you want to be profitable, you must earn more than the cost of the lawn mower. Each mowing you earn 29$. We must divide using the formula [tex]cost \divide profit = times[/tex] where times is the amount of times you must mow lawns to be profitable. We get [tex]450 \divide 29 = 15.51...[/tex], but you can't only mow parts of a lawn! Therefore, you must mow 16 lawns to be profitable.

Your second part depends on how many weeks are in the summer.

But the answer would look like $435 per week earned, and -$450 one time cost for the lawnmower.

Part A.

You spend $6 per lawn and charge $35 per lawn, so the profit per lawn is $35 - $6 = $29. Let the number of lawns you mow be n. You earn a profit of $29 pewr laun, so you earn a profit of 29n for mowing n lawns.

29n = 450

Divide both sides by 29.

n = 450/29 = 15.517...

You must mow 16 lawns to make profit.

Part B.

3 lawns per day for 5 days per week means 15 lawns per week. Since you make a profit of $29 per lawn, you will make a profit of 15 * $29 for 15 lawns in each week. 15 * $29 = $435.

You want to make $2500 profit, but you must spend $450 on the lawn mower, so you need to earn a total of $2500 + $450 = $2950.

Let n be the number of weeks. In one week, you make $435 in profit. In n weeks, you make 435n in profit.

435n = 2950

Divide both sides by 435.

n = 6.7816...

If you work for 7 weeks, you will make at least $2500 in profit.

Since the summer vacation is longer than 7 weeks, it is a reasonable goal, but you must take into account the time it takes to mow three lawns in one day.

Answer:

x = 6

Step-by-step explanation:

(x)(4) +3 -11 = 24

6 x 4 = 32

32 + 3 = 35

35 - 11 = 24

Yoko would drive 754 miles in 13 hours.

First you would have to find how many miles Yoko drives per hour so you divide 522 miles/9 hours to get 58 miles per 1 hour. Then you multiply 58 * 13 to get 754 miles.

It will take 1000 days to spend 1,000,000 if you spend 1,000 per day.

1000 days

Hope it helps ❤️

The answer would be 25/54

25/54 or .46

7/18+2/27

The LCM of 5/9 and 11/12

is 36

9*4=36

12*3=36

20/36

&

33/36

Answer:

225, 225 and 252 meters

Step-by-step explanation:

Let  length of the 2 equal parts be each x m, then:-

2x + x + 27 = 702

3x = 702 - 27 =    675

x = 675/3

x = 225

So lengths of each parts are  225, 225, 252

To find the lengths of the three parts, we let the length of each of the two equal parts be 'x' and set up the equation 3x + 27 = 702. Solving for 'x' gives us that each of the two equal parts is 225 m, and the third part is 252 m.

The student is asking to find the lengths of three parts of a fence that has been cut, with two parts being equal in length and the third part being 27 m longer than the other two. Let's assume each of the two parts that are the same length is 'x' meters. Since the third part is 27 m longer, it would be 'x + 27' meters. According to the problem, the total length of the fence is 702 m.

Therefore, the sum of all three parts is:

x + x + (x + 27) = 702

Simplifying this, we get:

3x + 27 = 702

Subtract 27 from both sides:

3x = 675

Now, divide both sides by 3:

x = 225

So, the two equal parts are each 225 m long, and the third part is 225 + 27 = 252 m long.

Part (A):

The area of the penalty box.

The dimensions of the penalty box are (15x-1) and (5x-7)

The area of rectangle = length * width

∴ The area of the penalty box = (15x-1) * (5x-7) = 75 x² - 110 x + 7

===================================================

Part (B):

The area of the goal box.

The dimensions of the goal box are (7x-1) and (x+3)

The area of rectangle = length * width

∴ The area of the goal box = (7x-1) * (x+3) = 7x² + 20x - 3

=======================================================

Part (C):

The area of the penalty box not coverd by the goal box =

The area of the penalty box - The area of the goal box =

(75 x² - 110 x + 7) - (7x² + 20x - 3) = 68 x² - 130 x + 10

Answer:

Option A is the important variable.

Step-by-step explanation:

Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.

The variable that is most important here is A: the number of minutes it took for the to reach its peak.

Firstly it is not mentioned if 10:41 is am or pm.

If its am, then such a temperature rise in less than an hour is very dangerous.

So, the important variable is option A.

Answer:

The answer is B: the number of degrees that the temperature changed.

Step-by-step explanation:

Just took the test

Ok, so first you have to take the 5/6th off. This would be 24 4/6 - 5/6th which would be 23 and 5/6ths. The next step would be to turn the 5/6 into a decimal. That would be 0.83333 so 23.83 divided by 11.  The answer would be 2.166363664 according the the calculator. HOPE THIS HELPS!!!

Answer:

[tex]2\frac{1}{6}[/tex] foot

Step-by-step explanation:

John has a roll containing  [tex]24\frac{2}{3}[/tex] feet of wrapping paper.

He must cut off  [tex]\frac{5}{6}[/tex] feet.

Now the left over wrapping paper =  [tex]24\frac{2}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{74}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{148-5}{6}[/tex]

                                                      =  [tex]\frac{143}{6}[/tex]

                                                      =  [tex]23\frac{5}{6}[/tex]

He wants to divide the left over wrapping paper into 11 pieces.

[tex]23\frac{5}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ×  [tex]\frac{1}{11}[/tex]

[tex]\frac{143}{66}[/tex]

[tex]\frac{13}{6}[/tex]

[tex]2\frac{1}{6}[/tex] foot

Each piece would be  [tex]2\frac{1}{6}[/tex] foot long.

331 total students. 7 traveled by car.

331 - 7 = 324 were on buses.

There were 6 buses:

324 / 6 = 54 students on each bus.

Answer:

The slope is 4.

Step-by-step explanation:

Use the slope formula.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-7 - 9}{-1 - 3} [/tex]

[tex] m = \dfrac{-16}{-4} [/tex]

[tex] m = 4 [/tex]

The slope is 4 and the Y-Intercept is 0.