Samaia buys two water bottles and three bags of chips for $9.45. Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75. Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario? Each water bottle is same price and each bag of chips is same price. * A) 3w + 2c = 9.45 AND 5w + 4c = 14.75 B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 3) 2w + 3c = 14.75 AND 4w + 5c = 9.45 D) 5c + 9w = $24.20

Answer:

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Identity:

An identity is an equality which is true for all values of a variable in the equality.

(a + b)³ = a³+ b³+ 3ab(a + b)

In an identity the right hand side expression is called expanded form of the left hand side expression.

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Solution:

(i) (2x + 1)³

Using identity

(a + b)³ = a³+ b³+ 3ab(a + b)

(2x + 1)³

= (2x)³ + 1³ + (3×2x×1)(2x + 1)

= 8x³+ 1 + 6x(2x + 1)

= 8x³ + 1 + 12x² + 6x

(ii) (2a – 3b)³

Using identity,

(a – b)³ = a³–b³ – 3ab(a – b)

(2a – 3b)³ = (2a)³– (3b)³ – (3×2a×3b)(2a – 3b)

=8a³–27b³–18ab(2a –3b)

= 8a³–27b³–36a²b + 54ab²

(iii) [3x/2  + 1]³

Using identity,

(a + b)³ = a³+ b³+ 3ab(a + b)

[3x/2 +1]³

=(3x/2)³+1³+ (3×(3x/2)×1)(3x/2+ 1)

=27x³/8+1+9/2x×(3x/2+1)

= 27x³/8 + 1 + 27/4 x² + 9/2x

= (27/8)x³ + (27/4) x² + 9/2 x + 1

(iv) [x–2/3 y]³

Using identity,

(a - b)³=a³-b³-3ab(a-b)

(X+ 2/3y)³

= (x)³–(2/3 y)³– (3×x×2/3 y)(x – 2/3 y)

= x³– 8y³/27–2xy(x – 2/3 y)

= x³– (8/27)y³–2x²y+ 4/3xy²

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Hope this will help you....

Step-by-step explanation:

Answer: its 18k+22p-10!

Step-by-step explanation:

I did the test got it correct, PLS MARK BRAINLIST

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $[tex]10[/tex] off.

So,the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

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Answer:

10.58

Step-by-step explanation:

the percentage multiplier is 0.23

so do 46 x0.23 = 10.58

Answer:

32

Step-by-step explanation:

ddd345

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Answer:

f(5) = 22

Step-by-step explanation:

When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.

f(x) = 5x - 3

f(5) = 5(5) - 3

5 * 5 = 25

25 - 3 = 22

f(5) = 22

I hope this helps you!

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Answer:

4 grams

Step-by-step explanation:

Find how many grams of sugar are in each mixture:

10(0.15)

= 1.5

25(0.1)

= 2.5

Add these together:

1.5 + 2.5 = 4

So, the mixture contains 4 grams of sugar

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

Answer:

AB equals 13 and DE equals 7.

Step-by-step explanation:

In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.

The solution is

The value of AB of the parallelogram is 13

The value of DE of the parallelogram is 7

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

The value of side CD = 13

The value of side BC = 23

The value of side AE = 16

AD = AE + ED

And , Opposite sides are parallel in a parallelogram

Now , the value of side AB = CD

So , the value of side AB = 13

And , The value of side BC = AD

So , the value of AD = 23

AD = AE + ED

Substituting the values in the equation , we get

23 = 16 + DE

Subtracting 16 on both sides of the equation , we get

DE = 23 - 16

The value of side DE = 7

Hence , the value of side AB = 13 and value of side DE = 7

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Answer:

[tex]6 {}^{2} = 36 [/tex]

[tex]x = 12[/tex]

[tex]9 \times 12 = 108[/tex]

[tex]108 \times 36 = 3888[/tex]

The number of people who likes to swim than hike is given by the equation A = 2 people

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

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Answer:

the upper is 149

and the lower is 101

Step-by-step explanation:

sana makatulong

Answer:

x = 40°

Step-by-step explanation:

angle A is a vertical angle with 60 so it's 60

60+80 = 140

180-140 = 40

Answer:

[tex]\boxed{\tt x=40^{\circ}}[/tex]

Step-by-step explanation:

∠x, ∠BAC, and ∠CAF form a straight line.

*Sum of angles that are formed on a straight line is equal to 180°.*

[tex]\tt \angle x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+\angle BAC+\angle CAF=180^{\circ}[/tex]

[tex]\tt x+80^{\circ}+\angle 60^{\circ}=180^{\circ}[/tex]

Add, 80°+60°=140°

[tex]\tt x+140^{\circ}=180^{\circ}[/tex]

Subtract 140 from both sides:

[tex]\tt x+140^{\circ}-140^{\circ}=180^{\circ}-140^{\circ}[/tex]

[tex]\tt x=40^{\circ}[/tex]

_____________________________

Answer:

A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.

Answer:

40%

Step-by-step explanation:

it's easiest to get a percentage from 100, multiplying 25 by 4 gives you 100 so if you do that then multiply 10 by four to make the equation even that will give you the answer

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work

He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work

The remaining work = [tex]$1 -\frac{4}{5}$[/tex]

                                 [tex]$=\frac{5-4}{5}$[/tex]

                                 [tex]$=\frac{1}{5}$[/tex]

∴  Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours

                           So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours

                                                                 [tex]$=\frac{10}{12}$[/tex] hours

Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{40+10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{50}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{2}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{1}{6}$[/tex] hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.  

Que se debe hacer es una pregunta???

Answer:

1.

[tex]25\%[/tex]

2.

[tex].04\%[/tex]

3.

[tex]100\%[/tex]

Answer:

1 is 25% because .50 going into 2 00 4 times or 35%

2 is 10% because 02. is 10% of 2.00

4 is 100% because its all of the 2.00

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

Answer:

1 i know its one hope it help

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 2 shows:

2 is prime  =>  21

Prime Factorization of 7 shows:

7 is prime  =>  71

Prime Factorization of 8 is:

2 x 2 x 2  =>  23

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 7 = 56

In exponential form:

LCM = 2^3 x 7^1 = 56

LCM = 56

Therefore,

LCM(2, 7, 8) = 56

Answer:

The right answer is D, "n" can be any value greater than 2

Step-by-step explanation:

If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.

Answer:7

Step-by-step explanation: x+5=12 solve for x = 7

Answer:

"a number" = 7

Step-by-step explanation:

let "a number" = x.

x + 5 = 12

Isolate the variable x. Note the equal sign, what you do to one side, you do to  the other. Subtract 5 from both sides.

x + 5 (-5) = 12 (-5)

x = 12 - 5

x = 7

7 is your answer.

~

Answer:

the total cost is $1,495,000

Step-by-step explanation:

The computation of the total cost is shown below:

Let us assume the months be m

Now the equation would be

= Equipment + software + wages

= $840,000 + $15,000 + 40,000m

= $840,000 + $15,000 + $40,000 (16)

= $840,000 + $15,000 + $640,000

= $1,495,000

Hence, the total cost is $1,495,000

Answer:

Epic

Step-by-step explanation:

stop random spam(thanks for points xD)

Answer:

x=30

Step-by-step explanation:

i just wrote it down and here the photo of the steps