what is the GCF (greatest common factor) of 12 and 27.

Answer:

Costo Total= $38,680

Step-by-step explanation:

Dada la siguiente información:

Un comerciante compra 16 máquinas de coser a S/.408 cada una: 27 equipos de sonido a S/. 732 cada uno y 19 lavadoras a S/. 652 cada una.

Para calcular el costo total, debemos usar la siguiente formula:

Costo Total= costo unitario * cantidad adquirida

Costo Total= 408*16 + 732*27 + 652*19

Costo Total= $38,680

The total amount of everything including sewing machines, sound systems, and washing machine is $38,680.

The cost price refers to the original price of the items, it is the total amount of money that costs a manufacturer to provide a given product.

The unit cost of sewing machines = 408

The unit cost of a sound system = 732

The unit cost of a washing machine = 652

Total cost = 408 × 16 + 732 × 27 + 652 × 19

                = 6528 + 19764 + 12388

                = $38,680

Therefore, the total amount of everything including sewing machines, sound systems, and washing machine is $38,680.

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Answer: 50 degrees

Step-by-step explanation: the total degree is 90 90-40=50

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

Answer:

x = 31

So 2x-7 = 55

x + 4 = 35

Step-by-step explanation:

[tex]2x-7+x+4=90\\3x-3=90\\3x=93\\x=31[/tex]

Answer:

6=-3/4x+(-4)

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y)  and (6 x). When you are writing linear equations you use the form y=mx+b.

Hope this helps

Answer:

Step-by-step explanation:

Answer:

d) A foundation may be a rectangle : 24² + 32² = 40²

Step-by-step explanation:

P.S - The exact question is -

Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.

To find - Which best describes the foundation?

a) A foundation can not be a rectangle : 24 + 32 ≠ 40

b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²

c) A foundation can not be a rectangle : √24² + 32² ≠ 40²

d) A foundation may be a rectangle : 24² + 32² = 40²

Proof -

We have to check whether the shape of the frame is rectangle or not.

As we know that,

A diagonal divides the rectangle in two right angle triangles

So,

Given that Length = 24

                  Width = 32

                  Diagonal = 40

By applying Pythagoras theorem, we get

40² = 24² + 32²

So,

The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²

Answer:

-130

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Order of operations, multiplication first, then subtraction and addition

Answer:

a) 256 ft^2 No

b) 150 ft^2 Yes

c) 300 ft^2 NO

d) 192 ft^2 Yes

w=8.5 in

l=11 in

A=w•l

A=8.5•11=93.5 in^2

Scale:

1in:1.5 ft

1in^2:2.25 ft^2

1in ^2. 2.25ft^2

93.5 in^2. Xft^2

X=2.25•93.5

X=210.375

Step-by-step explanation:

The required answers are below the scale drawings for each of these rooms:

a. 16 feet by 16 feet: No

b. 10 feet by 15 feet: es

c. 15 feet by 20 feet: NO

d. 12 feet by 16 feet: Yes

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

a. 16 feet by 16 feet:

The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.

Answer: No.

b. 10 feet by 15 feet:

The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.

Answer: Yes.

c. 15 feet by 20 feet:

The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.

Answer: Not.

d. 12 feet by 16 feet:

The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.

Answer: Yes.

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Answer:

- 13

Step-by-step explanation:

Given

- 2 + 3(1 - 4) - 2 ← evaluate parenthesis

= - 2 + 3(- 3) - 2 ← perform multiplication

= - 2 - 9 - 2

= - 13

Step-by-step explanation:

solution

= -2+3(3)-2

=-2+3*3-2

= -2+9-2

=-11-2

= -9

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

The second company is a better deal

Step-by-step explanation:

Answer:

540 times the hours he runs

Step-by-step explanation:

Simply just 540 times the hours he runs

Answer: y = -0.5x + 1

There are multiple answers to this question. One is that there are an additional two zeros on 7,000,000 than 70,000. In addition, 7,000,000 is 100 times greater than 70,000

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.

Answer:

-5..........................

Answer:

54 centimeters

Step-by-step explanation:

Answer:

<A=135°

now

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

-5

Step-by-step explanation:

Divide -10 by 2 and you'll come away with -5

Answer:

Blank 1: y=3x+10

Blank 2: y= 40

Step-by-step explanation:

Let the cost of gift wrap be y and the number of gifts be x.

Department

An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.

y= 3x +10

Niece

A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.

y= 40

To find out when the two plans cost the same, equate the two equations together. Then, solve for x.

3x +10= 40

3x= 40 -10 (-10 on both sides)

3x= 30

x= 30 ÷3

x= 10

Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.

Answer:

x=6+4

x<10

(-∞,10)

Step-by-step explanation:

Inequalities are the greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Answer:

28/1

Step-by-step explanation:

Answer:

7sqrt2

Step-by-step explanation:

28/4=7

we have a 45-45-90 triangle so d=7sqrt2

Answer:

21 in²

Step-by-step explanation:

Following the formula, you set it up as [tex]\frac{3(6+8)}{2}[/tex]

Add 6 and 8

[tex]\frac{3(14)}{2}[/tex]

Multiply 3 and 14

[tex]\frac{42}{2}[/tex]

Divide 42 by 2

21 in² = area of trapezoid patio

Answer:

ok!

Step-by-step explanation:

the mean is 8.125 and the median is 7

Answer: [tex]1272.51\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of each candle is [tex]d=6\ cm[/tex]

The height of each candle is  [tex]h=9\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

The volume of each candle is

[tex]\Rightarrow V=\pi \times 3^2\times 9\\\Rightarrow V=254.502\ cm^3[/tex]

For 5 candles it is

[tex]\Rightarrow 5V=1272.51\ cm^3[/tex]

Total wax used for 5 candles is [tex]1272.51\ cm^3[/tex]

Answer:

Step-by-step explanation:

The volume of a cylinder is

[tex]V=h\pi r^2\\ \\ h=8,\ r=4\\ \\ V=8\pi (4^2)\\ \\ V=8(16)\pi \\ \\ V=128\pi \units^3[/tex]

Answer:

V = 3078.76 in³

Step-by-step explanation:

To find the volume of a cylinder, use this formula:

V = πr²h

Plug in the values you know.

V = π(7)²(20)

First let's evaluate the exponent.

7² = 49

V = π(49)(20)

Now let's multiply.

49 • π = 153.938

153.938 • 20 ≈ 3078.76

V = 3078.76 in³

This is your answer.

Hope this helps!