3x+8 = x-6
x=?
pls help

Here the correct answer is (8,4) means option B.

Given equations are,

y=x-4 -----------------(1)

y= -0.5x+8-----------(2)

Option A.(4,2): If we put x=4 in equation one then y=0 which does not satisfy equation 2.

Option B.(8,4): If we put x=8 in equation one then y=4 and which satisfies equation 2.

Option C.(2,4): If we put x=2 in equation one then y=-2 which does not satisfy equation 2.

Option D.(4,8): If we put x=4 in equation one then y=0 which does not satisfy equation 2.

Therefore the solution of the equations y=x-4 and y=-0.5x+8 is (8,4) which is option B.

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The dimensions of a building to be fenced off around a rectangular parcel of land are 10.5 meters and 21 meters.

The Latin word rectus, which meaning "right" or "straight," is the source of the English word "rectangle." The straight sides of a rectangle are a result of its right angles. Rectitude, which refers to moral uprightness, is another term with the same root.

Explanation:

The size of a rectangle

lw = area of rectangle

where,

= length

= width

Thus, perimeter equals 2w plus l.

42 = 2w + l

l = 42 - 2w

Hence,

area = w (42- 2w)

180 = 42w - 2w²

-2w² +42w - 180 = 0

-w² + 21w - 180 = 0

The following is where to find the dimension w;

w = - b / 2a

where

a = -1

b = 21

w = - 21 / 2 × -1

W=10.5 meters.

Then,

l = 42 - 2w

l = 42 - 2(10.5) (10.5)

l=21 meters .Consequently, the measurements are 10.5 meters and 21 meters.

The dimensions of a building to be fenced off around a rectangular parcel of land are 10.5 meters and 21 meters

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Answer:

The answer is 70

Step-by-step explanation:

180-40=140

140/2=70

70+70=140

140+40=180

180= the measure of the whole triangle

PS: Hope this helps:)

Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.

Divide f(x) by x-1 , we get

k-27=R

Divide f(x) by x-2, we get

2k-44=4R

substitute value of R in second equation and solve, we get

k=32

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Answer:

D

Step-by-step explanation:

Answer:

x=-24

Step-by-step explanation:

you would solve for x

1) multiply the equation out

2) put x on one side by subtracting and adding on each side (make sure to balance it out)

3) divide or multiple by the number on the number on the x

5/2x + 8 - 3/2x + 12 = -4

5/2 x - 3/2 x  + 8 + 12 = -4

x + 20 = -4

x = -24

The method which result into more money after 2 years is Peggy method of saving at 6% interest rate and compounded monthly.

Larry:

A = P(1 + r/n)^nt

A = 350.00(1 + 0.04/4)^(4×2)

A = 350.00(1 + 0.01)(8)

A = $379.00

Peggy

A = P(1 + r/n)^nt

A = 350.00(1 + 0.06/12)^(12×2)

A = 350.00(1 + 0.005)(24)

A = $394.51

Therefore, Peggy has more money than Larry after two years.

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Answer:peggy account brings in more money after two years.

Step-by-step explanation:

LarryA=P(1 + r/n)^nt

A=350(1+0.04/4)^(4)(2)

A=350(1.01)^8

A=378.999

Peggy

A=P(1 + r/n)^nt

A=350(1+0.06/12)^(12)(2)

A=350(1.005)^24

A=394.505

So Peggy’s account brings in more money after two years.

Answer:

(a) 21, 22, 23

(b) 11, 13, 15

Step-by-step explanation:

Natural numbers are the set of numbers 1, 2, 3... Not numbers that we think of as fractions or decimals or negative numbers.

Let x = the first number

Let x+ 1 = the second number

Let  x+ 2 = the third number

x + x+ 1 + x + 2 = 66  Combine like terms

3x + 3 = 66  Subtract 3 from both sides

3x = 63  Divide both sides by 3

x = 21

Check:

21 + 22 + 23 = 66

Let x + the first number

Let x + 2 = the second number

Let x + 4 = the thirds number

x + x + 2 + x + 4 = 39  Combine like terms

3x + 6 = 39  Subtract 6 from both sides

3x = 33  Divide both sides by 3

x = 11

Check:  11 =+ 13 + 15 = 39

The required proportional relationship between y = 4x, where, x it time and y is the total number of pages.

Given that,

Bill writes 4 pages per hour. The total number of pages written proportionally to the number of hours spent to be justified.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
let the number of pages written in x hours be y,
According to the question,
y = 4x

Thus, the required proportional relationship between y = 4x, where, x it time and y is the total number of pages.

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Sorting is the process of grouping individuals into sets of two according to how well they do on a certain measure, then randomly assigning one participant from each set to each of the experimental groups. The right response in this case is option D.

Any systematic arrangement process is called sorting, and there are two similar but different definitions of sorting: Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Sorting is the process of placing data in ascending or descending order based on a linear connection between the data pieces. Organizing things in a sequence according to some condition is called ordering. Sorting things into categories is called categorization.

Complete question:

When participants are sorted from lowest to highest on a variable, grouped into sets of two, and then one person from each set is assigned at random to each of the experimental groups, this is called

A.)random assignment

B.)matching

C.)biased choice

D.)sorting

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Both 3 and 6 cups of sugar are used.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

2 cups of flour and 1 cup of sugar

Add the sugar and flour together for three cakes.

2 cups of wheat and 1 cup of sugar equals 3.

6 cups of flour and 3 cups of sugar

Hence, Both 3 and 6 cups of sugar are used.

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He has a total of $90 in his cafeteria wallet, thus the most lunches he may purchase is 20.

What is division?

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

Amount added=$50

Amount already in wallet=$40

Total amount in wallet=50+40

=$90

Cost of each lunch=$4.5

Number of lunch he can buy,

=90/4.5

=20

The maximum number of lunch he can buy is 20 lunch as he has a total of $90 in his cafeteria wallet.

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Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

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The value of x= 93/11 and y=-155/11 when the system of equation are 10x+ 6y=0 and 7x+ 2y=31.

Given that,

The system of equation are 10x+ 6y=0 and 7x+ 2y=31.

We must resolve the equation system.

We know that,

Take the system of equations.

10x+ 6y=0 ------>equation(1)

7x+ 2y=31 ------->equation(2)

Multiply 3 to the equation(2) and subtract with equation(1)

3×(7x+ 2y=31)

21x+ 6y=93

10x+ 6y=0

-----------------         (subtract)

11x+0=93

11x=93                 (divide)

x=93/11

Substitute x=93/11 in equation(1)

10(93/11)+6y=0

930/11+6y=0

6y=-930/11

y=-155/11

Therefore, The value of x= 93/11 and y=-155/11 when the system of equation are 10x+ 6y=0 and 7x+ 2y=31.

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The measure of the given angle ∠BDC or x is 55°.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

The Latin word "angulus," which means "corner," is the source of the English term "angle."

The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.

A geometrical shape called an angle is created by connecting two rays at their termini.

In most cases, an angle is expressed in degrees.

So, we know that:

∠ABC = 80°

∠ABD = 25°

∠BDC = x°

Calculate for ∠BDC:

∠ABC - ∠ABD = ∠BDC

80 - 25 = x

x = 55°

Therefore, the measure of the given angle ∠BDC or x is 55°.

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Answer:

>:)

Step-by-step explanation:

200 purses, 8 hours

200/8 = 25

25 purses per hour!

Pls mark me as brainliest and give me 20 points I need it :) Hope this answer helped!!

Answer: The Factory manufactures 25 purses per hour

Step-by-step explanation:

200 purses / 8 hours

25 purses per hour

Answer:

Yes, you're right.

Step-by-step explanation:

Just by doing the math, 0.27 times 35 is 9.45.

Plugging it in a calculator also says it's 9.45.

send a picture so i know what its asking for

Answer:

another root=-2,c=-106

Step-by-step explanation:

let q and r be two roots of eqn 10x²-33x-c=0,--(1)

then,q=5.3

comparing eqn--(1) with ax²+bx+c=0,we get

a=10,b=-33,C=-c

we know,

q+r=-b/c

or,5.3+r=33/10

or,53+10r=33

or,10r=-20

or,r=-2

hence, another root=-2

again,we know

q×r=-C/a

or,5.3×-2=c/10

or,-106=c

hence,c=-106.

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

The completed table of Ehecatl's hair length before the haircut is

Length (cm)       Percentage

 12                         60% of Ehecatl's old hair

  4                         20% of Ehecatl's old hair

 20                        100% of Ehecatl's old hair

The complete question is added at the end of this solution and as an attachment

From the question, we have the following incomplete table that can be used in our computation:

Length (cm)       Percentage

                          60% of Ehecatl's old hair

                          20% of Ehecatl's old hair

                         100% of Ehecatl's old hair

The first step is to determine the length of her hair before she cut it

The equation to calculate the new length of the hair after the cut is represented as

New length = Length of the hair before it was cut * Percentage

Substitute the known values in the above equation

So, we have the following representations

At 60%: 60% x 20 = 12cm

At 20%: 20% x 20 = 4cm

At 10%: 100% x 20 = 20cm

So, the missing values are 12 cm, 4 cm and 20 cm

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Complete question

The tape diagram shows that Ehecatl's hair, which is now 12cm long is 60% as long as it was before his haircut.

Complete the table to show different percentages of Ehecatl's hair length before the haircut.

The account balance(i.e. compound amount) will be $5706.84 after 28 years.

What is daily compounded interest?

Daily compounded interest is defined as an interest that is accrued daily and is computed by charging interest on principal plus interest earned daily. Due to the frequent compounding, daily compounded interest is higher than interest compounded on a monthly or quarterly basis.

Given, Principal = $2834

the annual rate = 2.5% = 0.025

time = 28 years

For compounded daily, n = 365

Now, the compound amount is calculated by

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

or, A = [tex]2834(1 + \frac{0.025}{365} )^{365*28}[/tex]

A = $5706.84

Hence, the account balance will be $5706.84 after 28 years.

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When the average distance from Jupiter to the Sun is about 5 x 10^8 miles and the average distance from Venus to the Sun is about 7 x 10^7 miles. The average distance from Jupiter to the Sun is about 7.1 as great as the average distance from Venus to the Sun.

The distances is compare using the mathematical operation called division,

the procedure is done as follows

= (The average distance from Jupiter to the Sun) / (The average

distance from Venus to the Sun)

= 5 x 10^8 miles / 7 x 10^7 miles.

= 7.14285

= 7.1

the comparison showed that the distance from Jupiter to Sun is 7.1 times greater than the distance form Venus to Sun

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Answer:

she would have at least rs 11

Step-by-step explanation:

since each pen cost rs 3.50 she will probably have

3.50 × 3

= rs 10.5

approximately rs 11

The standard form of the parabola is   x = -4/3y² -40/3y -103/3

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.

 x = -4/3(y +5)² -1

Solve for x.

 x = (4y² +40y +103)/(-3)

 x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

 x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

____

* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

 x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

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Triangles are shapes that have a total angle measurement of 180°.

To find this answer, add the measures of all the angles and set the equation equal to 180:

(x + 4) + (2x − 11) + (3x + 25) = 180

NOW SOLVE FOR X!

x + 4 + 2x − 11 + 3x + 25 = 180

18 + 6x = 180

6x = 162

x = 27

Now plug 27 into the equation for m∠B:

m∠B = (2x − 11)

m∠B = 2(27) − 11

        = 54 - 11

m∠B = 43

Answer: The final answer is 6

Step-by-step explanation: 2 x (x+5) = 6

A: The percentage of respondents who like hamburgers but dislikes burritos is 46.34%

B: Marginal relative frequency  of all who like hamburgers is 0.65.

C:Lowest joint frequency is of the respondents who like both.

The word "relative" is used to describe how something is being viewed in connection to or in comparison to another event. How frequently an event occurs can be determined by looking at its frequency. On the other hand, relative frequency is a means to compare the frequency of a specific event to all other occurrences.

The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.

Two facts must be known in order to determine the relative frequency:

>>Number of total events/trials

>>Frequency count for a category/subgroup

                             Like Ham↓  Does Not Like Ham    Total↓

Likes burritos →                 39           38                         77

Does not like burritos →    95           33                        128

Total →                               134           71                        205

So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 39 like Hamburgers.

A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining 33 do not like Hamburgers.

A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

A:

Total people who liked hamburgers are 134 and those who doesnot like burritos and liked hamburgers are 95 and the total people participated in the survey are 205.

So the percentage of people is [tex]\frac{95}{205}*100[/tex] = 46.34%

B:

The marginal relative frequency is nothing but total people who like hamburgers out of the total respondents.. which is

[tex]\frac{134}{205}[/tex] = 0.65

C:

The category that has lowest joint relative frequency is

Case 1:

Likes both burritos and hamburgers:

[tex]\frac{39}{134}=0.29[/tex]

Likes burritos and dislikes hamburgers:

[tex]\frac{38}{71} = 0.53[/tex]

Likes hamburgers and dislikes burritos:

[tex]\frac{95}{134} = 0.71[/tex]

Who dislike both are:

[tex]\frac{33}{71}=0.47[/tex]

So the category which lowest joint frequency is Likes both burritos and Hamburgers.

A: The percentage of respondents who like hamburgers but dislikes burritos is 46.34%

B: Marginal relative frequency  of all who like hamburgers is 0.65.

C:Lowest joint frequency is of the respondents who like both.

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Answer:

look at the link so you can get the straight up answers



Step-by-step explanation:

I did the same test got it all right

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