All of the following are equivalent, except _____.

(12 + 3x) x
12 x + 3 x
(12 + 3) x
15 x

Answer:

156

Step-by-step explanation:

While solving we will have to use the area formula of the rectangle, which is :A=w*l ; length*width=A.

Steps:
1)let’s consider that the shape is a full rectangle. => 16*12=192.

2)9*2=18 -> 18*2=36

3)192-36=156.

Area of the shape is 156 cm².

For explanation, please check the attached image.

Answer:

The total weight is 1593 lbs.

Step-by-step explanation:

177*9 = 1593

a data is a collection of numbers gathered to give some meaningful information

Answer:

[tex]data[/tex]

is the correct answer and have a great day bye

Step-by-step explanation:

[tex]kai6417[/tex]

Answer:

57 °

Step-by-step explanation:

Complementary angles = 90 °

Since, Your angle don't have ∠ [  ] Then Let let "C" and "y"

Thurs, C = 12x- 3  and y = 7x - 2

It is given that angles r and s are complementary  angles. Two angles are complementary  if they add up to 90 degrees. This means the sum of measures of angle r and angle s must be 90 degrees. So,

c + y = 90

12x - 3 + 7x - 2 = 90

19x - 5 = 90

19x = 95

x = 95/19

x = 5

Using the value of x in expression or r, we get:

c = 12x - 3 = 12(5) - 3 = 60 -3 = 57 degrees.

So measure of angle c is 57 degrees.

Hence, the ∠ is 57 °

[RevyBreeze]

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

[tex](k \cdot p)(x) = k(x) \cdot p(x)[/tex]

therefore,

[tex]k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28[/tex]

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

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The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

The functions are given as:

f(x) = -2(1.07)^x

Table of values for g(x)

x    g(x)

−4    −10

−2 −    7

0        −4

2         1

The y-intercept is when x = 0.

So, we have:

g(0) = -4

Also, we have:

f(0) = -2(1.07)^0

f(0) = -2

-2 is greater than -4 by 2

Hence, the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

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#SPJ1

Answer:

6

Step-by-step explanation:

6 is the highest factor that will go into both 36 & 40. Leaving 6 groups of 6 for both ipads and laptops.

Answer:

D. 27 square feet per hour

Step-by-step explanation:

Step 1:

Find the unit rate. Since 18 tiles are per 2/3 of an hour, we can divide 18 by 2 to get 9 tiles layed per third hour.

Step 2:

Multiply the 9 per third of an hour by 3 to find how many are per hour,

[tex]9*3=27[/tex] square feet per hour

This is called finding the unit rate of a scenario.

Scale drawings are used to draw shapes in a different proportional size

The scale used in the drawing is 17 centimeters : 9 meters

From the question, we have:

So, the scale is:

Scale =  Scale length : Real length

This gives

Scale =  102 centimeters : 54 meters

Reduce the scale

Scale =  17 centimeters : 9 meters

Hence, the scale used in the drawing is 17 centimeters : 9 meters

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Answer: The answer is 9 meters.

Answer:

What is the question?

Step-by-step explanation:

Answer: 17u

Step-by-step explanation:

(9+9+6-7)u=17u

Answer:

17u

Step-by-step explanation:

9u+6u+9u =24u

24u-7u=17u

Answer:

5

Step-by-step explanation:

The distance formula is:

[tex]d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }[/tex]

We can plug in the given coordinates into the equation:

[tex]d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5[/tex]

Answer:

The initial height is the y-intercept of the graph

slope of the graph = -2

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly.

Step-by-step explanation:

Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2

So the slope of the graph = -2

by inspection, the y-intercept = 12

Therefore, the equation for the line is   y = -2x + 12

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly

Answer:

No

Step-by-step explanation:

These are NOT equivalent. If you expand the 2nd expression you get 27+23k which is close, but not the same.

Answer: 150km

Step-by-step explanation:

The question says that the car required 9 litres of gasoline to cover 108km which means we and then derive that:

9L = 108km

And we are trying to find out how much distance can cover:

12.5L =?

Therefore, in order to find out the distance, we need to figure out how much distance can 1L take the car

therefore:

1L = [tex]\frac{108km}{9L}[/tex] = 12km

So if we know how far 1L can take us, we can just multiply 12.5 litres by the 12km to find out the distance:

12.5L × 12km = 150km

So, therefore, 12.5 litres can cover 150km.

Answer:

B

Step-by-step explanation:

q and u are the only congruent angles

Answer:

52

Step-by-step explanation:

a/13=4

a=13x4

So, a = 52

Answer:

3/14

Step-by-step explanation:

if he has 14 baseballs 5 of them are a so:

14-5=9

if he has 6 the are b then:

9-6=3

so 3 divided 14= 3/14

Answer:

Marco has $57.50 in total.

Step-by-step explanation:

17 x 10 = 170 quarters

170 x 0.25 = $42.50

11 x 10 = 110 dimes

110 x 0.10 = $11.00

8 x 10 = 80 nickels

80 x 0.05 = $4.00

Sum of two interiors=exterior

[tex]\\ \tt\longrightarrow 69+3x+12=6x+27[/tex]

[tex]\\ \tt\longrightarrow 3x+81=6x+27[/tex]

[tex]\\ \tt\longrightarrow 3x=54[/tex]

[tex]\\ \tt\longrightarrow x=18[/tex]

c)29.75

Step-by-step explanation:

sin 24° =12.1/x

x= 12.1/sin24

x=29.75

Answer:

50

Step-by-step explanation:

45+62+43= 150

150/3= 50

Answer:

hope this helps...

answer in the diagram

Answer:

[tex]\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{cc}3&2\\4&1\end{array}\right] ^{-1} =\frac{1}{3*1-2*4} \left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=(-0.2)*\left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right]\\[/tex]

True.

[tex]10^{10}[/tex] = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

      Its a factor which can be written in short and simplified form.

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 24) = 6 × 38 = 228 ft²

The standard equation of an ellipse is [tex]\frac{x^2}{144} +\frac{y^2}{95} =1[/tex]

The standard equation of an ellipse is given by:

[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1[/tex]

Where (h, k) is the center of the ellipse, 2a is the length of the major axis and 2b is the length of the minor axis.

Given the center = (0, 0), a = 12, b = 9.75, hence:

[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1\\\\\frac{(x-0)^2}{12^2} + \frac{(y-0)^2}{9.75^2} =1\\\\\frac{x^2}{144} + \frac{y^2}{95} =1[/tex]

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