All categories

4 years ago

Jacob is solving the equation 3√3q = 27 for q. His work is shown.

Mathematics

1 answer:

coldgirl [10]4 years ago

6 0

The given problem is stated as below:

3√3q = 27

√3q = 9

(√3q)^ = 9^

(^ stands for squared )

3q = A

Therefore we have,

A = 9^

or, A = 81

Again it is given that,

3q = A

or, 3q = 81.

or, q = 81/3 = 27

q = 27

As per the problem q = B,

therefore we can conclude that B = 27

So by solving the problem we get the final answer as below:

A = 81 and B =27

You might be interested in

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

dusya [7]

Answer:

a. 270 square feet

b. 3.75 inches by 4.5 inches

c. $10,260

Step-by-step explanation:

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

a. What is the area of the room in square feet?

Area of a rectangular room = Length × Width

Length = 15 feet

Width = 18 feet

Area of the room = 15 feet × 18 feet

= 270 square feet

b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.

From the above question:

1/4 inch = 1 foot

Length = 15 feet

Hence:

1 foot = 1/4 inch

15 feet = x inch

Cross Multiply

x = 15 × 1/4 inch

x = 3.75 inches

For the Width = 18 feet

Hence:

1 foot = 1/4 inch

18 feet = x inch

Cross Multiply

x = 18 × 1/4 inch

x = 4.5 inches

Therefore, the dimensions of the room in inches is

3.75 inches by 4.5 inches

c. What is the total price for the carpeting? _

From the above question, we know that: A square foot of carpet is sold for $38

The area of the room is 270 square feet

Hence:

1 ft² = $38

270 ft² = $x

Cross Multiply

1ft² × $x = 270 ft² × $38

$x = 270 ft² × $38/ 1 ft²

$x = $10,260

Therefore, the total price for the carpeting of the room is $10,260.

6 0

3 years ago

Convert the following repeating decimal to a fraction in simplest form .38

Ugo [173]

38/50
19/50.

Simplify both the numerator and denominator by 2 (greatest common factor).

4 0

1 year ago

Read 2 more answers

Select the correct answer.

vekshin1

The answer is d 27 games

4 0

3 years ago

Read 2 more answers

A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is t

vesna_86 [32]

Answer:

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Step-by-step explanation:

Given question is incomplete without the picture; here is the picture as an attachment.

Volume of the rectangular prism = Length × width × height

V = 5 × 13 × 10

= 650 cubic inches

Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base

= 10×5×1 + $(\text{Area of the triangular base})\times (\text{Height})$

= 50 + $\frac{1}{2}\times (12\times 5)\times 10$

= 50 + 300

= 350 cubic inches

Volume of the other piece = 650 - 350

= 300 cubic inches

5 0

3 years ago

What is the image point of (0,1) after the transformation D4 R90?<br> Please and thank you

Ede4ka [16]

Answer:

Image point → (-4, 0)

Step-by-step explanation:

Coordinate of a point → (0, 1)

Rule for the transformation has been given as,

D₄ o R₉₀

First use R₉₀ → Rotation of the point by 90° counterclockwise

Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,

(x, y) → (-y, x)

(0, 1) → (-1, 0)

Further use D₄ → Dilation of the point by a scale factor of 4 about the origin

If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,

(x, y) → (kx, ky)

By applying this rule,

(-1, 0) → (-4, 0)

Therefore, image point will be → (-4, 0)

5 0

3 years ago