The library is having a book sale. Hardcover books sell for $4 each, and paperback books are $2 each. If Ayanna spends $26 for 8 books, how many hardcover books did she buy?​

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Answer:

Translation

Dilation

Reflection

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

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Answer:

1. y =1/4x + 7

2.y =-3x + 2/3

3. y =2/3x + 2/3

4.y =-2x - 1/2

5.y =-3/4x -3

Step-by-step explanation:

By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b

Answer:

a^4+b^4−a^2b^2

Step-by-step explanation:

Answer: y+7= 3(x-5) C

Step-by-step explanation:

It is everyone of those except for (-6, 3).

Step-by-step explanation:

4 / 6 = 2/3

2/3 x -9 = -6

2/3 x -12 = -8

2/3 x 3 = 2

2/3 x -6 = -4

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

The approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9.

Total letters = 26

Total numbers = 10

Total = 10 + 26 = 36

Total possibilities = 36×35×34×33 = 1413720

Password with one number = C(10, 1) = 10

With three letters = C(26, 3) = = 2600

Outcomes = 2600×10 = 26000

Favorable outcomes = 26000×4! = 624000

Probability = 624000/1413720 = 0.44 = 44%

Thus, the approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

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Answer:

Rise over Run

Step-by-step explanation:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

Answer:

YES

Step-by-step explanation:

Answer:

46 blocks would be colored.

Step-by-step explanation:

23/50 = ?/100

23/50 x 2 = 46/100

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

Answer:

C. No solutions

Step-by-step explanation:

5x - 3 = 5 (x - 1)

5x - 3 = 5x - 5

* so they have the same slope but different y-intercepts. So they would be parallel lines and they would never intercept meaning. No Solutions!

Answer:

The answer is [tex]4.5^7[/tex]

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].

Answer:

x=5, y=4

Step-by-step explanation:

-3x+5y=5

y=x-1

substitute y

-3x+5(x-1)=5

-3x+5x-5=5

2x=10

x=5

y=x-1

y=5-1=4

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Answer:

x = 10

Step-by-step explanation:

Simplifying

5x + -6 = 44

Reorder the terms:

-6 + 5x = 44

Solving

-6 + 5x = 44

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5x = 44 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 44 + 6

5x = 44 + 6

Combine like terms: 44 + 6 = 50

5x = 50

Divide each side by '5'.

x = 10

Simplifying

x = 10

Answer:

top right

Step-by-step explanation:

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

Answer: a₉ = 327,680

Step-by-step explanation:

This seems to be a geometric sequence.

The recursive relation for this type of sequence is:

aₙ = aₙ₋₁*r

Where r is a constant.

Then we also have:

aₙ/aₙ₋₁ = r.

then we can find the value of r if we take the quotient of different consecutive terms, for example, the quotient of the second and firs term is:

r = 20/5 = 4

And the quotient between the third and second term is:

r = 80/20 = 4

Then we can conclude that r  = 4.

And also, the n-th term of this sequence can be written as:

aₙ = a₁*r^(n - 1)

such that:

a₁ = 5

r = 4

Then the n-th term of this sequence is:

aₙ = 5*(4)^(n - 1)

Then the term a₉ can be found if we just replace n by 9 in the above equation:

a₉ = 5*(4)^(9 - 1) = 5*(4)^(8) = 327,580

Answer:

the original price is 545$

Step-by-step explanation:

299.75$ : 55$ = x : 100

55x = 299.75 x 100

55x : 29975

divide 29975 by 55 =

545

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

Answer:

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2

Answer:

a

Step-by-step explanation:

Answer:

if they are asking how much the percentage is in money here is how you do it: 20x25 divided by 100

20%-----5$

If they ask how much the baseball glove would cost after the discount, it would be

25-5

so the total would be after the discount: 20$

Step-by-step explanation:

Answer:

C) 11.4

Step-by-step explanation: