jim's bookshelf has 24 inches remain in. each of his notebooks is 3/4 inches wide. how many notebooks will fit in the remaining space

Answer:

Step-by-step explanation:

You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.

Recursive equation

  f[1] = 60; f[n+1] = f[n] -30

__

Explicit equation

The general form of the explicit equation is ...

  f(n) = f(1) +d(n -1)

Here, we have f(1) = 60 and d = -30, so your equation is ...

  f(n) = 60 -30(n -1)

Answer:(-infinity,-29/6)

Step-by-step explanation:

Interval notation of this problem.

Answer:

The following are the answer:

In option a  "No".

In option b  "Yes".

Step-by-step explanation:

In choice a:

Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.  

It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.

In choice b:

we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.

Step-by-step explanation:

3. 7 = -2y + 4

2y = 4 - 7

2y = -3

y = -1.5

5. -3x - 2 = -17

17 - 2 = 3x

15 = 3x

3x = 15

x = 15/3

x = 5

Answer: x = 1 + 0.5c

Step-by-step explanation:

Answer:

36 x 2 + 21 x + 3

Step-by-step explanation:

Simplify the expression.

Add and subtract the second term to the expression and factor by grouping. You get 3 ( 4 x + 1 ) ( 3 x + 1 )

Answer:

c.  3 to 9

Step-by-step explanation:

It was right on edg 2020

Answer:

Step-by-step explanation:

A/b = c for b

A/b = c

A = bc

bc = A

b = A/c

Answer:

See below

Step-by-step explanation:

[tex]\frac{A}{b}=c\\\frac{A}{b} * b = c * b\\ A = c * b\\\frac{A}{c} = \frac{c*b}{c}\\\frac{A}{c} = b\\ b =\frac{A}{c}[/tex]

Answer:

5/11

explanation

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are  

11

marbles total. The probability that we pick one of the  

3

green marbles out of the  

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

Answer:

The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)expand out the bracket

-15y+6=21

2) get the y to one side

6=21+15y

3) solve

15=15y

1=y

Answer:

Y= -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(−5y+2)=21

(3)(−5y)+(3)(2)=21(Distribute)

−15y+6=21

Step 2: Subtract 6 from both sides.

−15y+6−6=21−6

−15y=15

Step 3: Divide both sides by -15.

−15y −15 = 15 −15

Y= -1

Answer:

38,500 pounds

Step-by-step explanation:

1 ton = 2000 pounds

Answer: c

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

Answer:

37.77

Step-by-step explanation:

P= PV x i / 1- (1+i)^-n

PV = 745

I = .1684 / 12 = .01403

N = 4 x 12 = 48

.19 x (365 x 9) = 624.53

21.4338469 x 48= 1028.12

624.53 / (624.53+1028.12) = 37.77

The  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

Using this formula

P= Pv x i / 1- (1+i)^-n

Where:

Present value = 745

Interest= .1684 / 12 = .01403

Number of months = 4 x 12 = 48

Hence:

Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)

Percentage=624.53 / (624.53+1028.12)

Percentage= 37.77%

Inconclusion the  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

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Answer:

L = 260 cm^2

Step-by-step explanation:

height h = 12 cm

slant height s = 13 cm

side length a = 10 cm

lateral edge length e = 13.928388277184 cm

1/2 side length r = 5 cm

volume V = 400 cm^3

lateral surface area L = 260 cm^2

base surface area B = 100 cm^2

total surface area A = 360 cm^2

Genda: h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Answer:

KM= KL+LM

5x+10=3x+4x

5x+10=7x

2x=10

x=5

now

kl=3x=3*5=15

Answer:

as reference angle is a

h=5

b=3

p=4

sinA= p/h= 4/5

cosA= b/h= 3/5

tanA= p/b=4/5

Step-by-step explanation:

Step-by-step explanation:

[tex]sine \: A = \frac{4}{5}\\\\

cosine \: A = \frac{3}{5}\\\\

tangent \: A = \frac{4}{3}\\\\[/tex]

Answer: 85 units

Step-by-step explanation:

x^2 +35x + 35 = 10235

-10235 on both sides

x^2 + 35x -10200

Now Factor

( x - 85 ) ( x + 120 )

Now plug in for x using 85 or -120

(85)^2 + 35(85) + 35

7225 + 2975 + 35 = 10235

So 85 is the right answer

Answer:

Step-by-step explanation:

Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.

We can first separate the x to the left and whole numbers to the right side.

TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side

so,

4x ≤  10 + 2

which is,

4x ≤  12, therefore,

x ≤  3.

Hope this helps!

The solution is x ≤ 3

What is an Inequality Equation?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

4 x - 2 ≤ 10

Adding 2 on both sides , we get

4 x ≤ 12

Divide by 4 on both sides , we get

x ≤ 3

Hence , the solution is x ≤ 3

To learn more about inequalities click :

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Answer:

2.999 millions hours ago

Step-by-step explanation: :)

Answer: The answer is 25%

Step-by-step explanation:

Answer:  $415

Step-by-step explanation:  75 x $6 = 450.  450 - 35 = 415

The question is incomplete. Here is the complete question

The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?

Answer:

21:63

Step-by-step explanation:

The ratio of the width to the rectangle is 1:3

= 1/3

= 0.333333

From the options given we have the following ratios

=5:7

= 5/7

= 0.71428

= 6:9

= 6/9

= 0.666666

= 33:100

= 33/100

= 0.33

= 21:63

= 21/63

= 0.3333333

Hence the ratio which represents the rectangle given above is 21:63