An 8-pack of beaded necklaces costs $7.60. What is the unit price?

Answer:

Hello,

a=0.5

Step-by-step explanation:

[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]

[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]

else\

[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]

the answer is very simple if you don't understand ask to your teacher

Answer:

A positive number.

Any negative subtracted from a positive will always be positive.

Answer:

a-b will be and will always be a POSITIVE number.

This is because a is positive, and b is negative.

However, when you subtract a negative number, you are actually just adding it.

So, a - (-b) = a+b.

This is why, it will always be positive.

Let me know if this helps!

Answer:

The sum of the series is Sₙ = n/2 [2·a + (n - 1)·d] where a = 8 and d = 8, therefore 8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)

Step-by-step explanation:

The parameters given are;

8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)

The given series of numbers can be checked to find;

16 - 8 = 24 - 16 = 8

Therefore, the series of numbers is an arithmetic progression with first term = 8, and common difference = 8, we have;

The sum of n terms of an arithmetic progression, Sₙ, is given as follows;

Sₙ = n/2 [2·a + (n - 1)·d]

Where;

a = The first term of the series of numbers = 8

d = The common difference = 8

∴ Sₙ = n/2 × [2×8 + (n - 1)×8] = n [2×8/2 + (n - 1)×8/2]  =  n × [8 + (n - 1)×4]

Sₙ =  n × [8 + (n - 1)×4] =  n × [8 + 4·n - 4] = n × [8  - 4 + 4·n] = n × [4 + 4·n]

Sₙ =n × [4 + 4·n] = 4 × n×(n + 1) = 4·n·(n + 1).

Answer:

D) 11 13 15 19 23 23 24 26.5 28 33​

Step-by-step explanation:

The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:

Minimum value = 11

Q1 = 15

Median = 23

Q3 = 26

Maximum value = 33

From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.

The data set in option D has a minimum value of 11, and a maximum value of 33.

Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

Answer:

[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]

I hope I helped you^_^

Answer:b

Step-by-step explanation:

Answer:

x = 60/83

Step-by-step explanation:

Solve for x:

10 - (83 x)/6 = 0

Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:

60/6 - (83 x)/6 = 0

60/6 - (83 x)/6 = (60 - 83 x)/6:

(60 - 83 x)/6 = 0

Multiply both sides of (60 - 83 x)/6 = 0 by 6:

(6 (60 - 83 x))/6 = 6×0

(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:

60 - 83 x = 6×0

0×6 = 0:

60 - 83 x = 0

Subtract 60 from both sides:

(60 - 60) - 83 x = -60

60 - 60 = 0:

-83 x = -60

Divide both sides of -83 x = -60 by -83:

(-83 x)/(-83) = (-60)/(-83)

(-83)/(-83) = 1:

x = (-60)/(-83)

Multiply numerator and denominator of (-60)/(-83) by -1:

Answer: x = 60/83

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]

We have the final answer as

Hope this helps you

Answer: 20p³+30p²-13p-12

Step-by-step explanation:

2(-4p-6)-5p²(-4p-6)-5p

-8p-12+20p³+30p²-5p

20p³+30p²-13p-12

please click thanks and mark brainliest if you like :)

Answer:

20p^3+30p^2-13p-12

Step-by-step explanation:

2(-4p-6)-5p^2(−4p−6)−5p

Distribute

-8p -12 +20p^3 +30p^2 -5p

Combine like terms

20p^3 +30p^2-13p-12

Answer:

LM = 16

Step-by-step explanation:

From the question given:

L is the midpoint of NM

NL = 3x + 1

LM = 8x - 24

LM =?

Next, we shall determine the value of x.

This can be obtained as follow:

Since L is the midpoint of NM, it means that NL and LM are equal i.e

NL = LM

Thus, we can obtain the value of x as follow:

NL = 3x + 1

LM = 8x - 24

NL = LM

3x + 1 = 8x - 24

Collect like terms

3x - 8x = - 24 - 1

-5x = - 25

Divide both side by - 5

x = -25/-5

x = 5

Finally, we shall determine the length of LM as follow:

LM = 8x - 24

x = 5

LM = 8(5) - 24

LM = 40 - 24

LM = 16

Therefore, the length of LM is 16

A.

A - selecting a milk chocolate

[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]

B.

The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.

Answer:

[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{12}[/tex]

[tex]\sqrt{(4)(3)}[/tex]

square root of 4 is 2

[tex]2\sqrt{3}[/tex]

the 3 stays inside

Answer:

y = 4. [tex]3^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a[tex]b^{x}[/tex]

Use ordered pairs from the table to find a and b

Using (0, 4 ), then

4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus

a = 4

y = 4 [tex]b^{x}[/tex]

Using (1, 12 ), then

12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 3

Thus

y = 4 . [tex]3^{x}[/tex] ← exponential equation

Answer:

24

Step-by-step explanation:

trudt

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

Answer:

Option C and option E

Step-by-step explanation:

C.) 7,8,9,…

E.) 22

Natural numbers are also called counting numbers.

They begin from 1, 2, 3 to infinity.

Natural numbers are greater than zero (0)

They do not have decimal point in them.

They are positive integers, as such they do not have minus

Natural numbers can include commas when they are large like 3,000

Answer:

2x²+2x

Step-by-step explanation:

you have f(x)= x+1 and g(x)= 2x

you must multiply the 2 polynomials

(1x·2x) +( 1·2x)

1·2=2  x^1·x^1=x²

2x²

1·2x=2x

Answer:

6.87 g/mL

Step-by-step explanation:

The density of an object can be found by dividing the mass by the volume.

[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]

We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.

[tex]m= 87.3 g\\\\v=12.7 mL[/tex]

Substitute the values into the formula.

[tex]d= \frac{87.3 g}{12.7 mL}[/tex]

Divide 87.3 g by 12.7 mL

[tex]d=6.87401575 g/mL[/tex]

Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

[tex]d= 6.87 g/mL[/tex]

The density of the aluminum is about 6.87 grams per milliliter.

당신에게 도움이됩니다

[tex]( - 3) - 5 \\ = ( - 8)[/tex]

Answer:

k = 12

Step-by-step explanation:

isolate the variable; divide both sides that dont contain the variable

Answer:

K=12

Step-by-step explanation:

-144π = -12πk

divide by -12π on both sides to find k

-144π / -12π = k

12 = k

   Value of [tex]10^x[/tex] will be between 1 and 10.

 Given in the question,

If we have to find the range of the value of the number, substitute x = 0 and 1

[tex]10^0=1[/tex]

[tex]10^1=10[/tex]

  Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.

Learn more,

https://brainly.com/question/19465964

Answer:

36 lbs

Step-by-step explanation:

let the weight of each boy's backpack be B and the weight of each girl's backpack be G.

Given that the total weight of all (i.e 10 boys' and 10 girls') backpacks equals 600 lbs,  i.e.

10B + 10G = 600   (simplifying by dividing both sides by 10)

B + G = 60 ------- eq 1

Also given that a girl's backpack is 1.5 times LESS than a boy's backpack.

written another way, we can say that a boy's backpack is 1.5 times MORE than a girl's backpack, or:

B = 1.5G   (rearranging)

B - 1.5G = 0     ------ eq 2

We can solve eq 1 and eq 2 by elimination,

(eq 1) - (eq 2)

(B + G) - (B - 1.5G) = 60 - 0

B + G - B + 1.5G = 60

G  + 1.5G = 60

2.5G = 60   (divide both sides by 2.5)

G = 60 / 2.5

G = 24 lbs   (substitute this into equation 1)

B + G = 60

B + 24 = 60

B = 60 - 24

B = 36 lbs

Answer:

1,2,4,5

Step-by-step explanation:

Answer:

line DB, H, and D

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

6)

The sum that we have is 85 +99

We want to express it as the product of a whole number thar is greater than 1 and a sum of two whole numbers.

Notice that: 85 = 84+1

● 85 + 99 = 84 + 1 + 99 = 84 + 100

84 and 100 are even numbers so we can factor using 2.

● 84 + 100 = 2(42 +50)

2 is greater than one and 42+50 is the sum of two whole numbers so all the conditions are satisfied.

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7)

Dasha go on business trips every 9 months while Charlie go every 6 months.

They came back at the same time.

So Charlie has to wait 6 months before going and Dasha nine months.

Dasha will be alone home for 3 months so she doesn't need to hire someone.

Here is what happens:

● Both Dasha and Charlie are home.

● After 6 months Charlie go and Dasha is at home

● after 3 months Dasha goes also and Charlie is home

● after 3 months charlie go and Dasha is home

● after 3 months both are home.

● aftet 3 months they both go

So the period is:

● 6+3+3+3+3 = 18

So after 18 months they should hire someone.

The picture below makes the understanding easier. ( x is Charlie and y is Dasha)

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8)

Pime factorisation

● 96÷2= 48

● 48÷2= 24

● 24 ÷ 2 = 12

● 12 ÷ 2 = 6

● 6÷2 = 3

● 3÷3 = 1

=> 96 = 2 × 2 ×2×2×2 ×3 =2^5 ×3

● 80÷ 2 = 40

● 40 ÷ 2 = 20

● 20÷2 = 10

● 10÷2 = 5

● 5÷5 = 1

=> 80 = 2×2×2×2×5 = 2^4 × 5

So the GCF is 2^4 wich is 16

He can make 16 party

● 80÷16 = 5

There will be 5 boxes of raisin in each one

● 96÷16 = 6

There will be 6 pencils in each party

Let assume hours be x.

1 hour = 60 minutes

x hour = 330 minutes

[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]

[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]

[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]

Total hours in a day is 5.5

The average American student is in class 5.5 hours a day.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The average American student is in class 330 minutes a day.

We know that;

⇒ 1 hours = 60 minutes

⇒ 1 minute = 1/60 hours

Hence, We can change the unit as;

⇒ 330 minutes = 330 / 60 hours

                        = 5.5 hours

Thus, It is equal to 5.5 hours.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

Answer:

(3.5, - 3.5)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(9-2)/2=7/2=3.5

y=(-8+1)/2=-7/2=-3.5

A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

Of this numerous possible interpretation, James should have specified that the set of points is in a plane

Learn more about circles at:

https://brainly.com/question/12930236