Y = A system of equations. Y equals StartFraction one-half EndFraction x minus 6. X equals negative 4.X – 6 x = –4 What is the solution to the system of equations?

Answer:

You can buy a maximum number of 11 boxes

Step-by-step explanation:

The first step is to calculate the number of boxes that you can afford with the $150 without the discount. This can simply be done by dividing $150 by $15

= 10 boxes.

The next step is to calculate the effect of the discount on the total of $150. The $25 discount will increase your average sum to $175.  This extra $ 25  can afford you one more box. bringing the total number of boxes to 11.

You can buy a maximum number of 11 boxes

Answer:

Step-by-step explanation:

Given three functions 3x⁴, 15x³and 21x², the greatest common factor is the greatest value that can divide through the three functions at the same time.

To get this GCF, let us divide each functions into simplest form

3x⁴ = (3 *x * x) * x * x

15x³ = 5 * (3 * x * x) * x

21x² = 7 * (3 * x * x)

It can be seen that the product in parenthesis is common to the three functions given on expanding them, hence the greatest common factor of the three functions is 3 * x * x = 3x²

Answer:

4 25/99 is the mixed fraction.

25/99 is the fraction

Answer:

option D

[tex]a_{1}=6561 and a_{n}=\frac{1}{3}a_{n-1}[/tex]

Step-by-step explanation:

[tex]a_{3} = 729\\\\a_{4} = 243\\\\r = \frac{a_{4}}{a_{3}}\\\\r=\frac{243}{729}\\\\r=\frac{1}{3}[/tex]

Recursive rule: Next term is obtained by multiplying (1/3) wiht the previous term

[tex]a_{n}=\frac{1}{3}*a_{n-1}[/tex]

[tex]a_{3} = \frac{1}{3}*a_{2}\\\\\\729 = \frac{1}{3}*a_{2}\\\\\\729*3=a_{2}\\\\a_{2} = 2187\\\\\\[/tex]

[tex]a_{2}=\frac{1}{3}*a_{1}\\\\\\2187=\frac{1}{3}*a_{1}\\\\\\2187*3=a_{1}\\\\a_{1}=6561[/tex]

Answer:

The sample space table is shown below.

Step-by-step explanation:

It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are:

yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

  Y              Y

  Y              G

  Y              B

  G              Y

  G              G

  G              B

  B              Y

  B              G

  B              B

There are a total of 9 possible selections.

The number of the total possible selections is 9.

The arrangement of the different things or numbers in a number of ways is called the combination.

It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The colour options for each item are:

yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

 Y              Y

 Y              G

 Y              B

 G              Y

 G              G

 G              B

 B              Y

 B              G

 B              B

There are a total of 9 possible selections.

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Answer:

The other number is 4/3

Step-by-step explanation:

Let the unknown number be x

Translate the equation :

[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]

Cross multiply

[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]

Divide both sides by -36

[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]

Answer:

its is a

Step-by-step explanatioits n:

The equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Let m be the slope of the line and c is the y-intercept of the line.

The equation of the line is given as,

y = mx + c

The product of the slopes of the perpendicular lines is equal to -1.

y = 3x – 2

m = 3

Then the slope of the perpendicular line will be -1 / 3. The equation of the line will be written as below:-

y = (-1 / 3)x + c

The line is passing through the point  (–2, 3). Then calculate the value of the constant.

3 = (-1 / 3 )2 + c

c = 11 / 3

The equation of the line will be:-

y = (-1/3)x + (11/ 3)

Therefore,  the equation of the line will be y = (1/3)x + ( 11 / 3 ). The correct option is B.

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Answer:

315 people

Step-by-step explanation:

Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.

Let x = # of children on train.

7/2 = 245/x

7x = 490

x = 70 children

The total number of people = 70 + 245 = 315 people total

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Answer:

I = BLv/R

Step-by-step explanation:

V = BLv

V = IR

Since both right sides are equal to V, set the right sides equal to each other.

IR = BLv

I = BLv/R

Answers:

A. Commutative Property of Multiplication

D. Commutative Property of Addition

=======================================

Explanation:

The commutative property of multiplication is the idea we can multiply two numbers in any order. The rule is x*y = y*x

An example would be 2*3 = 3*2 since both sides result in 6.

The same applies to 3*(2+c) because it can be written as (2+c)*3. Simply flip the two factors 3 and (2+c).

--------------------

A similar idea is the commutative property of addition. This rule says that we can add two numbers in any order we want.

x+y = y+x

An example would be 7+9 = 9+7 because both sums result in 16

Using this rule, we can rewrite 2+c as c+2

Therefore 3(2+c) is the same as 3(c+2)

--------------------

We can't use any associative properties because we would need to have 3 terms being either added or 3 terms being multiplied, for associative rules to apply.

For instance 1+(2+3) = (1+2)+3 is an example of the associative property of addition. An example of the associative property of multiplication would be 3(7*9) = (3*7)*9

Answer:

Rene needs 9 of these identical cylinder.

Step-by-step explanation:

diameter d = 6 cm

height h = 8 cm

volume of this cylinder v = [tex]\pi d^{2}h/4[/tex]

substituting, we have

v = (3.142 x [tex]6^{2}[/tex] x 8)/4

v = 226.224 cm^3

minimum number of identical containers Rene should use should be

n = 2,000/226.224 = 8.8

The minimum number must be a whole number, and must completely make this 2000 cm^3 volume of ice or more

answer will be 9

Answer:

1

Step-by-step explanation:

Calculation steps:

-7-(-8) =                  ⇒ two negatives cancel and change to positive

- 7 + 8 =                  ⇒ 8-7 = 1

1                              ⇒ answer

Answer:

31

Step-by-step explanation:

=3^2+(8-2)x4-6/3​

=9+6 x 4 - 2

=9+24-2

=31

Answer:

31

Step-by-step explanation:

9+6*4-6/3

9+6*4-2

9+24-2

31

Answer:

trinomial

Step-by-step explanation:

-x² - 1/2 + x

if you are asking for the specific name, it is a trinomial because there are 3 terms.

Answer:

Step-by-step explanation:

The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.

In french parler, means "to speak, hence the word parlance has it root from the french word parler.

it is a noun and it often called a slang or a jargon.

for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc

The terminology that is specific to a particular profession or group is called; Jargons

We are given examples such as;

T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.

Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.

In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.

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Answer:

7/51

Step-by-step explanation:

Assuming that the marbles are drawn without replacement, the probability of the first marble being drawn is 7/(7+8+3) which is 7/18.

The probability of the second marble being red is 6/17, as there are 6 red marbles left and 17 marbles in the bag.

We then multiply 7/18 and 6/17, getting 7/51.

Answer:

x=-4

Step-by-step explanation:

Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4

Answer:

The value of x is 16 and the width is 4.

Step-by-step explanation:

The area of a rectangle is the length multiplied by the width, which is [tex]9\sqrt{x}[/tex].

So, [tex]9\sqrt{x}[/tex] = 36.

We divide both sides by 9, getting [tex]\sqrt{x}[/tex] = 4.

We then square both sides, getting x = 16.

The value of x is 16, and the width is 4.

Answer: the distances can be 0.65 miles (in the opposite direction to the school) or 4.65 miles (in the same direction as the school)

Step-by-step explanation:

Ok, the data that we have is:

Total distance = 9.3 mi.

The travel is:

House to school = 4 mi.

school to library = A

library to house = B

Now, we have that:

4mi + A + B = 9.3mi.

We have three possibilities:

1) The order of locations is: house, library, school

The travel from: school to library + library to house is equivalent to a travel between the school to the house = 4mi.

Then we have A + B = 4mi

4mi + A + B = 8mi ≠ 9.3mi

Then the library can not be between the house and the school.

2) The order of locations is: house, school, library.

In this case we have that the distance between the library and the house is equal to the distance between the house and the school plus the distance between the school and the library, then:

4mi + A = B.

We can replace this in our original equation:

4mi + A + B = 9.3mi

4mi  + A + (4mi + A) = 9.3mi

8mi + 2*A = 9.3mi

2*A = 9.3mi - 8mi = 1.3mi

A = 1.3mi/2 = 0.65mi

Then the distance between the house and the library is:

The 4 miles between the house and the school, plus the 0.65 miles between the school and the library:

Distance = 4mi + 0.65mi. = 4,65mi

3) The third case is when the order of the locations is:

Library, house, school.

Then the distance between the house and the library is equal to the distance between the school and the library minus the distance between the house and the school, this is:

A - 4mi = B

Now we can replace this in our distance equation:

4mi + A + B = 9.3mi

4mi + A + (A - 4mi) = 9.3 mi

2A = 9.3mi

A = 9.3mi/2 = 4.65mi

Then the distance between the house and the library is:

B = A - 4mi = 4.65mi - A = 0.65mi

Then the distance between the house and the library is 0.65 miles in this case.

Answer:

$0.75 per candy bar

Step-by-step explanation:

For this problem, we simply need to set up a system of equations to find the value of a drink, and the value of a candy bar.

Let x represent the cost of a candy bar, and y represent the cost of a drink.

60x + 110y = 265

120x + 90y = 270

Now let's use the elimination method to solve for one of the variables:

60x + 110y = 265 --> -2 ( 60x + 110y = 265 ) --> -120x + -220y = -530

-120x + -220y = -530

120x + 90y = 270

-130y = -260

y = 2

Now plug the value of y into one of the equations to find the value for x:

60x + 110y = 265

60x + 110 (2) = 265

60x + 220 = 265

60x = 45

x = 45 / 60

x = 0.75

With this, we know that the cost of a candy bar is $0.75 and the cost of drink is $2.00.

Cheers.

Answer:

i.  [tex]P(A) = \frac{1}{10}[/tex]

ii.  [tex]P(B) = \frac{1}{10}[/tex]

iii.   [tex]P(A) = \frac{3}{5}[/tex]

iv.   [tex]P(B) = \frac{2}{5}[/tex]

Step-by-step explanation:

Given

Time: 07 2(A) 5(B)

Calculating (a)

First, we need to list out the possible sample space, S of A

[tex]S = \{0,1,2,3,....,9\}[/tex]

[tex]n(S) = 10[/tex]

Probability of A being a 4 is the number of occurrence of 4 divided by the number of sample space

[tex]A = \{4\}[/tex]

[tex]n(A) = 1[/tex]

Hence;

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{1}{10}[/tex]

Calculating (b)

First, we need to list out the possible sample space, S of B

[tex]S = \{0,1,2,3,....,9\}[/tex]

[tex]n(S) = 10[/tex]

Probability of B being a 8 is the number of occurrence of 8 divided by the number of sample space

[tex]B = \{8\}[/tex]

[tex]n(B) = 1[/tex]

Hence;

[tex]P(B) = \frac{n(B)}{n(S)}[/tex]

[tex]P(B) = \frac{1}{10}[/tex]

Calculating (c)

Using the sample space in (a)

[tex]n(S) = 10[/tex]

Probability of A being less than 6 is the number of occurrence of less than 6 divided by the number of sample space

[tex]A = \{0,1,2,3,4,5\}[/tex]

[tex]n(A) = 6[/tex]

Hence;

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{6}{10}[/tex]

[tex]P(A) = \frac{3}{5}[/tex]

Calculating (d)

Using the sample space in (b)

[tex]n(S) = 10[/tex]

Probability of B being greater than 5 is the number of occurrence of greater than 5 divided by the number of sample space

[tex]B = \{6,7,8,9\}[/tex]

[tex]n(B) = 4[/tex]

Hence;

[tex]P(B) = \frac{n(B)}{n(S)}[/tex]

[tex]P(B) = \frac{4}{10}[/tex]

[tex]P(B) = \frac{2}{5}[/tex]

Answer:

16

Step-by-step explanation:

Subtracting the 2 expressions

3b² - 8 - b(b² + b - 7) ← distribute parenthesis

= 3b² - 8 - (b³  + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

Answer:

[tex]\frac{3*(8e-4f-1)}{8}[/tex]

I hope this helps. Sorry for a late response. I used

tiger-algebra.com

PEACE!☘️

Answer:  The x intercepts are -1 and -5  or  (-1,0)   and ( -5,0)

Step-by-step explanation:

Finding the x intercepts of  a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.

[tex]-x^{2} -6x -5 = 0[/tex]          First  divide each term by 0 to get the largest degree coefficient to equal 0.

x^2 + 6x +5 = 0         Now find two numbers that their product is 5 and their sum is 6.  The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.

Rewrite the whole equation as

x^2 + 1x+5x +5 = 0     Now factor the left side by grouping

x(x+1) 5(x+1) = 0         Factor out x+1

(x+1) (x+5) = 0       Now use the zero product by setting each of them equal zero.

x+ 1 = 0    or    x+5 = 0

    -1    -1               -5  -5

x = -1      or  x = -5

Answer:

$24.00

Step-by-step explanation:

12 = 36

8 = x

=> Cross multiply

=> 12 * x = 36 * 8

=> 12x = 288

=> 12x / 12 = 288 / 12

=> x = 24

8 gallons of gas costs $24.00.

8 gallons of gas will cost $24.

There are two types of variations direct variation and inverse variation.

In direct variation between two quantities if one variable increases the other also increases and vice versa.

In inverse variation of two quantities if one variable increases the other variable decreases and vice versa.

In the given question

12 gallons of gas costs $36

∴ 8 gallons of gas will cost (36 × 8)/12 gallons

= $24

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Answer:

M^4

Step-by-step explanation:

Here use product law which state- same base power should add

M^7-3

M^4

All you have to do is find where the two circles intersect with each other ( where they meet ) and then draw your 5cm line from A to the intersection and the 3cm line from B to the intersection.

It should form a triangle*.

* The image should help you.

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

Answer:

First one

Step-by-step explanation:

If you mean 2 to the sixth power, then it's for sure the first one.

Answer:

2^6

Step-by-step explanation:

Answer:

X^2 +4y-2

Step-by-step explanation:

Substraction gives the difference between two points or two positions.

We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)

Then we can say

(4x2 - 3y + 4) -(3x2 - 7y + 6)

If we open the bracket we have

4x2 - 3y + 4 - 3x2 + 7y - 6

Then if we collect like terms we have

4x2 - 3x2 -3y +7y +4 -6

Then we have

X^2 +4y-2

Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)

gives us X^2 +4y-2