15 ft
7 ft
144
20 ft
III. Solve.
(10) A bedroom is 15 ft long and 12 ft wide.
How much will it cost to carpet the room
if carpeting costs $22 per square yard?
(1 yd = 3 ft)
......... ANSW
...........​

Answers

Answer 1

It will cost $440 to carpet the room.

To find the cost of carpeting the room, we need to calculate the area of the room in square yards.

First, let's convert the dimensions of the room from feet to yards:

15 ft = 5 yd (since 1 yd = 3 ft, 15 ft = 5 yd)

12 ft = 4 yd

Next, calculate the area of the room in square yards:

Area = Length x Width = 5 yd x 4 yd = 20 square yards

Finally, multiply the area by the cost per square yard:

Cost = Area x Price

= 20 x $22/square yard

= $440

Complete question

A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?


Related Questions

What is the probability that the person is from California, given that the person prefers brand A? Round your answer to two decimal places
HELP!!!!!!!!!

Answers

Answer: D. 0.53

Step-by-step explanation:

From the given picture, the number of persons from California and prefers brand A = 90

The total numbers of persons prefer brand A = 170

The probability that the person is from California, given that the person prefers brand A will be :-

[tex]\dfrac{\text{Persons from California and prefers brand A}}{\text{Persons prefer brand A}}\\\\=\dfrac{90}{170}=0.529411764\approx 0.53[/tex]

Hence, The probability that the person is from California, given that the person prefers brand A = 0.53

Answer:

D 0.53

Step-by-step explanation:

Which statement is true about the square pyramid below?
The base has an area of 464 square inches.
The base has an area of 928 square inches.
Each of the lateral faces has an area of 464 square inches.
Each of the lateral faces has an area of 928 square inches.

Answers

Answer:

The missing image from the problem is attached

The answer is (C) Each of the lateral faces has an area of 464 square inches.

Step-by-step explanation:

Base is a square that is 32 in

The height of one of the 4 lateral faces is 29 in

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

Base is L*W --> 32*32 = 1024 square inches

(1) Lateral face is 1/2*b*h = 0.5*32*29 = 464 square inches

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

Since the answers are about the face and/or one lateral face only, those two numbers are important. (C) is the only answer that matches

Each of the lateral faces has an area of 464 square inches , Option C is the correct answer

What is a square pyramid ?

A square pyramid is a three dimensional figure , having square as the base and four triangular faces which meet at a single point called at a single point.

It is given in the question (figure is attached )

Base of the square pyramid is 32 in

The height of one of the 4 triangle is 29 in

Area of the base = 32* 32

= 1024 sq.in

Area of the lateral face (triangle ) =  1/2*b*h

= (1/2) * 32 * 29

= 464 sq. in

Therefore Option C is the correct answer , Each of the lateral faces has an area of 464 square inches.

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Factor completely 2x2 + 2x − 24.

Answers

2x^2 + 2x - 24

= 2x^2 + 8x - 6x -24

= 2x(x + 4) -6(x + 4)

= (x+4)(2x-6)

Answer:

.

Step-by-step explanation:

The trick here is to notice that all 3 terms can be div. by 2:

2(x^2 + x - 12)

Note that -12 factors into -3 * 4 or -4 * 3.  Thus,

x^2 + x - 12 = (x-4)(x+3), and so 2x2 + 2x − 24 = 2(x-4)(x+3).

If two distinct lines intersect, which is NOT necessarily true? A) The lines are not parallel. B) The lines are perpendicular. C) The lines form angles at the intersection. D) The intersection of the two lines is a point.

Answers

Answer:

B is not necessarily true

Step-by-step explanation:

A) This is always true

B) This is not necessarily true

When two lines intersect, they form angles at the intersection as D says, but that does not mean that the angle will always be 90 degrees as is required for the two intersecting lines to be perpendicular

C) This is always true

D) This is always true

Option B) The lines are not perpendicular is not necessarily true.

What is the Intersection of Two lines?

When two lines intersect and following are the three different possibilities:

1) They are parallel, if lines are parallel they can never intersect.

2)They cross each at an angle and the point of intersection is unique that is they intersect at only one point.

3) Two lines coincide, that is every point on line 1 is a point on line 2.

Now

In option B it is given that lines are perpendicular that is the specific case of (2) When angle is 90°.

Therefore, it is not necessarily true.

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Solve the equation !!!! HELP PLEASE

Answers

Answer:

x=-1/2

Step-by-step explanation:

Given:

8x^3+12x^2+6x+1=0

Making factors of the given polynomial by using cube formula, given as

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Re-writting the given polynomial:

(2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3)=0

Hence (2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3) can be written as (2x+1)^3

(2x+1)^3= 0

2x+1= 0

2x= -1

x= -1/2 !

1. m+ 10< 16
2. -2g28_
3. y-22 < 19
4. -7b>-28
5. h+30 < 0
6. -5x < 10
7. t+13 > 22
8. w-12 <16​

Answers

Answer:

[tex]1.\ m<6\\2.\ g\leq-4\\3.\ y<41\\4.\ b<4\\5.\ h<-30\\6.\ x>-2\\7.\ t>9\\8.\ w<28[/tex]

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

[tex]m+ 10< 16\\ m+ 10-10< 16-10\\m<6[/tex]

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

[tex]-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4[/tex]

3. Add 22 to both sides. Then:

[tex]y-22< 19\\ y-22+22<19+22\\y<41[/tex]

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

[tex]-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b<4[/tex]

5. Subtract 30 from both sides. Then:

[tex]h+30<0\\ h+30-30<0-30\\h<-30[/tex]

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

[tex]-5x<10\\\\\frac{-5x}{-5}<\frac{10}{-5}\\\\x>-2[/tex]

7. Subtract 13 from both sides. Then:

[tex]t+13>22\\ t+13-13>22-13\\t>9[/tex]

8. Add 12 to both sides. Then:

[tex]w-12< 16\\ w-12+12<16+12\\w<28[/tex]

HOW MANY TRIANGLES CAN BE CONSTRUCTED WITH THE FOLLOWING MEASURES?

AB = 7.6 cm, AC = 5.4 cm, and m/_ABC = 50°.

Answers

Answer:

No triangle can be constructed with given measures.

Step-by-step explanation:

Refer the following figure.

     AB = c = 7.6 cm

     AC = b = 5.4 cm

     ∠ABC = B = 50°

Sine rule is given by [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

Substituting

        [tex]\frac{5.4}{sin50}=\frac{7.6}{sinC}\\\\sinC=1.078[/tex]

Value of sinC is more than 1, which is not possible.

Hence no triangle can be constructed with given measures.

select all possible choices-
Which expressions are equivalent to the expression 4a – 6b + 3c?


a) a + 3(a − 2b + 3c)


b) 4a + 3(2b + c)


c) 2(2a − 3b + c) + c


d) 2(2a − 3b) + 3c

Answers

I know B is on possible choice for this and maybe d almost certain

c) and d)

c) 4a-6b+2c+c

d) 4a-6b+3c

If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
40 cm2
80 cm2
200 cm2
400cm2

Answers

Answer:

400cm

Step-by-step explanation:

Answer:

it is 400cm2

Step-by-step explanation:

i know things

Which of the following is equal to the expression below?

Answers

[tex]

\frac{\sqrt{9}}{\sqrt{81}}=\frac{3}{9}=\boxed{\frac{1}{3}}

[/tex]

The answers are A and B.

Hope this helps.

r3t40

Answer is A and B

Evaluate the Square root of 9 and 81

9 is the perfect square of 3, so the numerator is 3

81 is the perfect square of 9, so the denominator is 9.

So you have 3/9.

You can simplify the fraction to make 3/9 into 1/3

Select the correct location on the number line. Which point on the number line represents the approximate volume of a cylinder with a radius of 4 units and a height of 4 units? Use 3.14 for π.

Answers

Answer:

the answer is 37.7 so the point closest to 40.

Step-by-step explanation:

Answer: the one between 30 and 40

Step-by-step explanation:

solve for x in the equation x2+14 x+17=-98​

Answers

Answer:

x=−7+√130 or x=−7−√130

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²+14x+17=-98

add 98 to each side

x²+14x+115=0

Solve with quadratic formula

a=1

b=14

c=115

\frac{-14 ±\sqrt{14^2-4*1*115} }{2*1}

Triangle ABC and triangle CFG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CG? A) 0 − 2 3 − 0 = 2 − 6 9 − 3 B) 0 − 2 3 − 0 = 6 − 2 9 − 3 C) 2 − 0 3 − 0 = 6 − 2 9 − 3 D) 3 − 0 2 − 0 = 9 − 3 6 − 2

Answers

Answer:

C

Step-by-step explanation:

proportion can be used to show that the slope of AC is equal to the slope of CG

Slope of AC = (2-0)/(3-0) = 2/3

Slope of CG = (6-2)/(9 -3) = 2/3

So answer is :

C)

      2 − 0        6 − 2

   ------------ =  -----------

      3 − 0         9 − 3

Answer:C

Step-by-step explanation:

Find the value of x.

Answers

Answer:

The value of x is 4√5 ⇒ 1st answer

Step-by-step explanation:

* Lets revise the rules in the right angle triangle when we draw the

 perpendicular from the right angle to the hypotenuse

- In triangle ABC

# Angle B is a right angle

# The hypotenuse is AC

# BD ⊥ AC

∴ (AB)² = AD × AC

∴ (BC)² = CD × AC

∴ (BD)² = AD × CD

∴ BD × AC = AB × BC

* Lets use one of these rules to solve the problem

- y is the perpendicular from the right angle to the hypotenuse

- x is one leg of the right angle

∵ The length of the hypotenuse = 5 + 11 = 16 units

∵ The part nearest to x = 5

* Lets use the rule (AB)² = AD × AC

∴ x² = 5 × 16 = 80 ⇒ take √ for both sides

∴ x = √80 = 4√5 units

Rectangle ABCD is rotated 360 around the orgin. What is the coordinate of C’

Answers

Answer:

-4,4

Step-by-step explanation:

I just answered it on edge and got it right trust me

The coordinate of the point C' after the rotation of 360 degrees will be the same as the coordinate of C.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

Rectangle ABCD is rotated 360 around the origin.

If any object is rotated by 360 degrees about the origin. Then the position of the object does not change.

Then the coordinate of the point C' after the rotation of 360 degrees will be the same as the coordinate of C.

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a hula hoop has a radius of 19 inches. what is the length of the arc subtending 1/4 of the hoop?
A. 43.8
B. 14.9
C. 29.8
D. 59.7

Answers

Find the circumference:

Circumference = 2 x PI x radius

Circumference = 2 x 3.14 x 19 = 119.32

Divide by 4: 119.32 / 4 = 29.83 rounded to 29.8

The answer is C.

Answer:

C. 29.8 inches

Step-by-step explanation:

Length of complete hula hoop(L)= circumference of hoop

=>[tex]L=2\pi r[/tex]

where radius, r= 19 inches

Therefore length of arc(l) subtending 1/4 of the hoop is

=>[tex]l=\frac{1}{4}\times L=\frac{1}{4}\times2\pi r=\frac{\pi r}{2}[/tex]

=>[tex]l=\frac{\pi \times 19}{2}inches=29.8 inches[/tex]

Thus the length of the arc subtending 1/4 of the hoop is 29.8 inches

The inequality x + 2y ≥ 3 is satisfied by which of the following points? (Select all that apply.)

(1, 1)
(-3, 4)
(-2, 2)
(5, -2)

Answers

Answer:

First option: (1, 1)

Second option: (-3, 4)

Step-by-step explanation:

Substitute each point into the inequality:

Point (1,1):

[tex]x + 2y \geq3\\\\(1) + 2(1) \geq3\\\\3\geq3[/tex]

(The inequality is satisfied with this point)

Point (-3, 4):

[tex]x + 2y \geq3\\\\(-3) + 2(4) \geq3\\\\5\geq3[/tex]

 (The inequality is satisfied with this point)

Point (-2, 2):

[tex]x + 2y \geq3\\\\(-2) + 2(2) \geq3\\\\2\geq3[/tex]

(The inequality is not satisfied with this point)

Point (5, -2):

[tex]x + 2y \geq3\\\\(5) + 2(-2) \geq3\\\\1\geq3[/tex]

(The inequality is not satisfied with this point)

Answer:

Your answer would be A and B

Step-by-step explanation:

I NEED HELP IN 2 QUESTIONS, PLEASE HELP AND SHOW YOUR WORK!


Which expression best represents the area of the rectangle? ( The longer side is x+12, and the shorter side is x-5)

A) x2 + 7x + 60

B) x2 + 17x + 60

C) x2 − 7x + 7

D) x2 + 7x − 60

Multiply: (2x − 5)(3x2 − 4x + 2)

A) 6x3 − 23x2 + 24x − 10
B) 6x3 − 7x2 + 24x − 10
C) 6x3 − 23x2 + 16x − 10
D) 6x3 − 7x2 + 16x − 10

Answers

Answer:

Q1. D) x² + 7x - 60Q2. A) 6x³³ - 23x² +24x - 10

Step-by-step explanation:

Q1.

The formula of an area of a rectangle:

[tex]A=l\times w[/tex]

l - length

w - width

We have l = x + 12 and w = x - 5. Substitute:

[tex]A=(x+12)(x-5)[/tex]       use FOIL (a + b)(c + d) = ac + ad + bc + bd

[tex]A=(x)(x)+(x)(-5)+(12)(x)+(12)(-5)[/tex]

[tex]A=x^2-5x+12x-60[/tex]         combine like terms

[tex]A=x^2+7x-60[/tex]

Q2.

[tex](2x-5)(3x^2-4x+2)[/tex]      use the distributive property a(b + c) = ab + ac

[tex]=(2x-5)(3x^2)+(2x-5)(-4x)+(2x-5)(2)\\\\=(2x)(3x^2)+(-5)(3x^2)+(2x)(-4x)+(-5)(-4x)+(2x)(2)+(-5)(2)[/tex]

[tex]=6x^3-15x^2-8x^2+20x+4x-10[/tex]       combine like terms

[tex]=6x^3+(-15x^2-8x^2)+(20x+4x)-10\\\\=6x^3-23x^2+24x-10[/tex]

Can someone help with this plz

Answers

For this case we must simplify the following expression:

[tex]\sqrt {\frac {16} {25}}[/tex]

We can rewrite 16 as:[tex]2 ^ 4 = 2 * 2 * 2 * 2[/tex]

We can rewrite 25 as:[tex]5 ^ 2 = 5 * 5[/tex]

[tex]\sqrt {\frac {2 ^ 4} {5 ^ 2}} =\\\frac {\sqrt {2 ^ 4}} {\sqrt {5 ^ 2}} =[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, rewriting the expression:

[tex]\frac {2 ^ 2} {5} =\\\frac {4} {5}[/tex]

Answer:

[tex]\frac {4} {5}[/tex]

Can someone please help

Answers

the measure of angle 5 is also 111

Since angle 4 and angle 6 add up to equal 180, 180-111=69

angle 5 and angle 6 are also supplementary, so 180-69=again,111

Answer:

m∠4 = 111°

Step-by-step explanation:

∠4 and ∠5 are same side (interior) angles, and since lines A and B are parallel, they will be congruent.

So, m∠4 = m∠5

Substitute: m∠4 = 111°

Help me solve this math problem!

Answers

Answer:

4x + y = 32

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 4) and (x₂, y₂ ) = (5, 12)

m = [tex]\frac{12-4}{5-7}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation.

Using (7, 4), then

4 = - 28 + c ⇒ c = 4 + 28 = 32

y = - 4x + 32 ← in slope- intercept form

Add 4x to both sides

4x + y = 32 ← in standard form

Simplify 4 to the 4th over 4 to the 6th

Answers

Answer:

3/5^3 = 27

125

= 0.216

Step-by-step explanation:

Power: 3

5

^ 3 = 33

53

= 27

125

After 3 months 5004 deposited in a savings account with simple interest had earned 162.63 in interest. What was the interest rate

Answers

Answer:

13%

Step-by-step explanation:

Please use the $ sign.

The simple interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.  Here, t = 1/4 year; r is unknown, p is $5004 and i is $162.63.

Writing this out with the given info, we get:

$162.63 = $5004*r*(1/4).

We can solve this for r by multiplying both sides by 4/$5004:

(4/$5004)($162.63)  = (4/$5004)($5004)*r*(1/4) = r

Evaluating r, we get (4)($162.63)/$5004 = 0.13

The interest rate, r, is 0.13, or 13%.

Greg’s gas tank is 1/3 full after he buys 2 gallons of gas it is 1/2 full how many gallons can Greg’s tank hold

Answers

Answer:

12 gallons

Step-by-step explanation:

let x be the amount tank can hold, then

[tex]\frac{1}{3}[/tex] x + 2 = [tex]\frac{1}{2}[/tex] x

Multiply through by 6

2x + 12 = 3x ( subtract 2x from both sides )

12 = x

The tank can hold 12 gallons

Final answer:

Greg's gas tank can hold 12 gallons of gas. We know this because when Greg's tank is 1/3 full and he buys 2 gallons of gas it becomes 1/2 full. The difference between 1/2 and 1/3 of a tank, or 1/6 of the tank, is equal to 2 gallons.

Explanation:

The subject of this question is mathematics, specifically within the scope of fractions and simple algebra. The question tells us that when Greg's gas tank is 1/3 full and he adds 2 gallons, the tank becomes 1/2 full. This tells us that the difference between 1/2 and 1/3 of the tank's capacity is equal to 2 gallons. In mathematical terms, this can be represented as 1/2 - 1/3 = 2/6 - 2/6 = 1/6. Therefore, 1/6 of Greg's gas tank equals 2 gallons. If 1/6 of the tank equals 2 gallons, the entire tank (or 6/6) would hold 12 gallons of gasoline.

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How do you write the equation in slope intercept form given (4,1) and (5,0)?

Answers

Answer:

y=-1x+5

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-1}{5-4}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=-1(x-4) \\\\\\ y-1=-x+4\implies y=-x+5[/tex]

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A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.

a. What is the probability of selecting a purple marble and then a white marble?

b. What is the probability of selecting two white marbles?

c. Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work

Answers

Hey there!

If we have two white marbles and seven purple marbles, our first probability is out of nine.

First of all, we have the probability of selecting a purple marble, 7/9.

Now, if we do not replace it, there are only eight marbles left. Therefore, getting a white marble is 2/8, or 1/4.

We multiply these probabilities together to get our answer to a.

7/9(1/4)= 7/36

a. 7/36

Now, let's do b. We have 2/9, and then 1/8, giving us 1/36.

b. 1/36

Now, let's calculate selecting two purple to help us with C.

We have 7/9, and then 6/8, or 3/4.

7/9(3/4)= 7/12

Since there is a majority of purple marbles, there is a C) greater probability of selecting two purple marbles in a row.

I hope this helps!

Answer:

A. 7:9 B. 1:4 C. Purple

Step-by-step explanation:

A. Because there are 7:9 B. Because 1:4 C. Because Purple has more

PLEASE HELP ME NOW URGENT

Answers

ANSWER

[tex]y = 3 \pm \sqrt{21} [/tex]

EXPLANATION

The quadratic equation is:

[tex] {y}^{2} - 6y - 12 = 0[/tex]

Group variable terms:

[tex] {y}^{2} - 6y = 12[/tex]

Add the square of half, the coefficient of y to both sides.

[tex] {y}^{2} - 6y + ( - 3) ^{2} = 12 + ( - 3) ^{2} [/tex]

[tex] {y}^{2} - 6y + 9= 12 + 9[/tex]

The LHS us now a perfect square trinomial:

[tex]{(y - 3)}^{2}= 21[/tex]

Take square root:

[tex]y - 3 = \pm \sqrt{21} [/tex]

[tex]y = 3 \pm \sqrt{21} [/tex]

The first choice is correct.

3±√21. The equation [tex]y^{2}-6y-12=0[/tex] has two possible solutions 3+√21 y 3-√21.

If we have a general quadratic equation [tex]ay^{2} +by+c=0[/tex] we can solves the equation by completing the square. First, we divide the quadratic equation by a, we obtain [tex]y^{2} +\frac{b}{a} y+\frac{c}{a} =0[/tex].

For this problem, we have [tex]y^{2}-6y-12=0[/tex]

We can skipped division in this example since the coefficient of [tex]x^{2}[/tex] is 1.

Move the term c to the right side of the equation

[tex]y^{2}-6y=12[/tex]

Completing the square on the left side of the equation and balance this by adding the same number to the right side of the equation, with b = -6.

[tex](\frac{b}{2})^{2} =(\frac{-6}{2})^{2}=(-3)^{2} =9[/tex]

[tex]y^{2}-6y+9=12+9[/tex]

[tex](y-3)^{2}=21[/tex]

Take the square root on both sides of the equation:

y - 3 = ±√21

Add 3 from both sides:

y = 3 ± √21

The library is 5 miles from the post office. How many yards is the library from the post office?

Answers

Answer:

8800

Step-by-step explanation:

a yard is equals 3 feet a mile is 5 280

Answer: 8800 yards

Step-by-step explanation:

1 mile = 1760 yards

1760 yards x 5 miles = 8800 yards

Solve the equation

3x-1/2y=2

Answers

Answer:

Step-by-step explanation:

Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:

x in terms of y:    Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction:  6x - y = 4.  Now add y to both sides to isolate 6x:  6x = 4 + y.

Last, divide both sides by 6 to isolate x:

x = (4 + y)/6

y in terms of x:    

y = 6x - 4

If you want a numerical solution, please provide another equation in x and y and solve the resulting system.

Box A has a volurme of 12 cublic meters. Box B is similar to box A. To create Box B, Box A's dimensions were multiplied by five. What is the volume of Box B?

A) 60 m^3
B)300 m^3
C) 1,500 m^3
D) 7,500 m^3

Answers

Answer:

C) 1,500 m³

Step-by-step explanation:

[tex]k - \text{scale of similar}[/tex]

[tex]\text{If}\ AB\sim CD\ \text{in scale}\ k,\ \text{then}\ \dfrac{length_{AB}}{length_{CD}}=k[/tex]

[tex]\text{If}\ A\sim B\ \text{in scale}\ k,\ \text{then}\ \dfrac{area_A}{area_B}=k^2[/tex]

[tex]\text{If}\ A\sim B\ \text{in scale}\ k,\ \text{then}\ \dfrac{volume_A}{volume_B}=k^3[/tex]

[tex]\text{We have}\ B\sim A\ \text{in scale}\ k=5.\ V_A=12\ m^3,\ \text{therefore}\\\\\dfrac{V_B}{V_A}=k^3\to\dfrac{V_B}{12}=5^3[/tex]

[tex]\dfrac{V_B}{12}=125[/tex]            multiply both sides by 12

[tex]V_B=1500\ m^3[/tex]

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