Find the length of side x to the nearest tenth.
309
X
60°

The number of comic books is an illustration of a linear function

She had 17 comic books already.

So, we have:

[tex]\mathbf{Base\ Amount = 17}[/tex]

Her order of 65 books contains 8 comic books per collection.

So, we have:

[tex]\mathbf{Rate = 8}[/tex]

[tex]\mathbf{Total = 65}[/tex]

This is represented as:

[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]

So, we have:

[tex]\mathbf{8\times b + 17 =65}[/tex]

Rewrite as:

[tex]\mathbf{8b + 17 =65}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b =48}[/tex]

Divide both sides by 8

[tex]\mathbf{b =6}[/tex]

Assume she has 97 books in her collection, then the equation would be represented as:

[tex]\mathbf{8b + 17 = 97}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b = 80}[/tex]

Divide both sides by 8

[tex]\mathbf{b = 10}[/tex]

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

Read more about linear equations at:

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Answer:

A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Answer: A

Step-by-step explanation:

Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.

- 43 + 10 = - 33

Now just write everything out...

8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33

Which is A

Answer:

1. -20

2. 27

3. 36

4. -200

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

Answer:

B ......................

Answer:

and wht is the question?

Answer:

6/1 * 2/3= 4

5/6 - 3/4= 1/12

3/5 / 1/3= 9/5

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1, 1, 2, 3, 5, 8, 13, 21

The required eighth number in the Fibonacci sequence is 21.

Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined

The sequence is defined as the specific pattern of numbers in which they are arranged.

Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8

The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21

Thus, the required eighth number in the Fibonacci sequence is 21.

Learn more about the Fibonacci sequence here,
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Answer:

1. A.

2. C.

Step-by-step explanation:

1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles

2.

Since 2 and 5 are corresponding angles they will have the same degree measures

Answer:

C is answer

Step-by-step explanation:

Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

​

Divide 3 entre 3 para obtener 1.

x≤1

Answer:

D

Step-by-step explanation:

In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"

In A above, (3,-2), (2,-1), (3,4), (4,7)

There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.

B. (0, 4), (1, 2), (1, 0), (2, 3)

There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.

C. (2, 5), (3, 8), (4, 11), (4, 12)

4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.

D. (1, 7), (2, 5), (3, 6), (4, 1)

D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.

Answer:

44

Step-by-step explanation:

In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.

Answer:

the answer would be eight

Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .

Answer:

$0.50 or 50 cents

Step-by-step explanation:

If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10

2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.

For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.

We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50

Answer:

a

Step-by-step explanation:

we have 67/x . 100% = 0.12 %

so x = 67.100%/0.12% = 55833,(3) ≈ 56

ok done . Thank to me :>

Answer:

135%

Step-by-step explanation:

1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Answer:

Step-by-step explanation:

Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.

It is obvious that the height will lie within the range

2.5/4<h<3.5/4

which corresponds to the range

5/8<h<7/8 OR 0.625<h<0.875

Thus,

a. The largest actual height could be 0.875 inches, while

b. The smallest actual height could be 0.625 inches

c. The percentage error is given by the formula:

[(approx.-exact)/exact]*100%

If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,

then % error = [(0.75-0.625)/0.75]*100% = 16.7%

Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

Answer:

-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4

Step-by-step explanation:

make all fractions decimals

4 1/4 = 4.25

3 1/3 = 3.33333..

-4 1/4 = -4.25

4.25 , -3 , 3.3 , 3.33... , 4.25

Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±[tex]\sqrt{-4}[/tex]

y=±[tex]\sqrt{4}[/tex] i

Step-by-step explanation:

Coordinates of A are (-4.5, 2).

Coordinates of B are (0, -3.5)

Answer:

Both answers are true

Step-by-step explanation:

Coordinates of A are [-4.5,2]

Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}