The perimeter of a rectangular painting is 272 cm if the width of the painting is 61 cm, what is its length?

Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]

Distrubute -3 into the parentheses

[tex]-12x+12=-15x-24[/tex]

Subtract both sides by 12

[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]

Add 15x to both sides

[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

[tex]10=16x+2[/tex]

Subtract both sides by 2

[tex]10-2=16x+2-2\\8=16x[/tex]

Divide both sides by 16

[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]

I hope this helps!

Step-by-step explanation:

i think you just have to subtract 460-187 equals 273 so he can put 273 or something lower then that

Answer:

?

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

thus it said 27 km/hr, she travel 27 km every hour so 27*3=81

Answer:

true

Step-by-step explanation:

its actually false

True, A combination of numbers and operations is called formula.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A combination of numbers and operations is called formula.

Now, We know that;

The formula is made by the combination of numbers and operations.

Let an example of a formula as;

⇒ (a + b)² = a² + 2ab + b²

Hence, We get;

The above formula is made by the combination of numbers and operations.

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Answer:

D

Step-by-step explanation:

Answer: D

The first option is incorrect because 56+angle 3=180 and when you solve it angle 3 equals 124 degrees, not 142 degrees

The second option is incorrect because 56+43+angle 1=180 (because all triangles add up to 180 degrees). When you solve that angle 1 equals 81 degrees, not 99 degrees

The third option is incorrect because angle 1+angle 2=180, and we already know angle 1 equals 81, so when you solve that angle 2 equals 99 degrees, not 137 degrees. So we know the last option is correct.

But if you want to make sure it's correct, you can always solve for angle 4. Angle 4+43=180 degrees, and when you solve it, angle 4 equals 137 degrees, and we know that option is correct.

Hope this helped you!

Answer:

The answer is B- 531^2

Step-by-step explanation:

l m f a o

your

pfp

The solution is, the area of the following figure is 360 in^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

For this case we have that by definition, the area of a rectangle is given by:

A = l*w

In this case, the rectangle is 18 in side, & 21 in.

then:

A = 18*21

   = 378

On the other hand, the area of a triangle is given by:

A = 1/2 b * h

Where:

b: It is the base of the triangle

h: It is the height

We have according to the figure that:

b = 21 - 17 = 4

h = 18 - 9 = 9

So:

A = 1/2 *4 *9

   =18

Finally, the area of the figure is:

378 - 18

=360

Answer: The solution is, the area of the following figure is 360 in^2.

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Answer:

x = 20

F = 46

Step-by-step explanation:

For x :

( 20 )  * 2 = 40

40 + 3 = 43

For degrees F

Add triangles have a angle sum of 180

So you just subtract 180 by the angles in the triangle

180 - 91 = 89

89 - 43 = 46

46 is remaining so it is the missing degrees ( F )

Answer:

Step-by-step explanation:

The domain, the possible values of x, is only limited in this function when the function is undefined. Specifically division by zero is undefined. In this case x cannot be equal to 9 because that would lead to division by zero. And that is the only restriction. So the domain is all real numbers except 9. In interval notation this is

x=(-oo, 9),(9, +oo)

Answer:

-3

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

You would do the area of the big rectangle and subtract the areas of the two triangles. The triangles add up to 63 and the rectangle is 280 ft^2

Answer:

(y-2x)(3x+y)

B

Answer:

[tex]B. \left(y-2x\right)\left(y+3x\right)[/tex]

Step-by-step explanation:

[tex]y^2+xy-6x^2[/tex]

Break the expression into group:

[tex](yx^{2} -2xy)(3xy-6x^{2} )[/tex]

factor out  [tex]y[/tex] from [tex]y^{2} -2yx:y\left(y-2x\right)[/tex], and factor out, [tex]3x[/tex] from [tex]3yx-6x^2:3x\left(y-2x\right)[/tex]

[tex]y\left(y-2x\right)+3x\left(y-2x\right)[/tex]

Now, factor out common terms: [tex]y-2x[/tex]

[tex]\left(y-2x\right)\left(y+3x\right)[/tex]

_________________

OAmalOHopeO

Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           [tex]a-(-b)=a+b[/tex]

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            [tex]7+3=7-(-3)[/tex]

Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

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Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas

Answer:

z = 5

Step-by-step explanation:

divide both sides of the equation by -0.25

[tex]-0.25z = -1.25[/tex], original equation

[tex]\frac{-0.25z}{-0.25} =\frac{-1.25}{-0.25}[/tex], divide both sides by -0.25, solve for -1.25 ÷ -0.25 = 5

[tex]z = 5[/tex], final answer

Answer:

37.17

Step-by-step explanation:

Find the mean by adding together all of the numbers, then dividing it by how many numbers there are.

(29 + 75 + 21 + 45 + 39 + 14) / 6

= 37.17

So, if 29 is added, the mean is approximately 37.17

Answer:

37.17

Step-by-step explanation:

Hope this helps

Answer:

The ratio of red to blue would be 60: 6 which can be simplified to 10:1.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1

Ratio is the comparison of two quantities in terms of same units.

Example : If a & b be two numbers, then the ratio is a/b, where b≠0

Let Blue counters = x

Red counters would be = 3 times of blue counters = 3x

There are a total of 120 counters in a box.

First we have to find, the number of red and the number of blue counters:

3x + x = 120

⇒ 4x = 120

⇒ x = 120/4

⇒ x = 30

There are 30 blue counters.

Red counters = 3×30 = 90

Carl took 1/3 of the red, 90 / 3 = 30, so there were 60 red counters left in the box.

Kerry took 80% of the blue, 30 * 0.80 = 24, so there were 6 blue counters left in the box.

The ratio of red to blue counters would be 60: 6 which can be simplified to 10:1.

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Answer:

if this is a right triangle and you want to know the length of the hypotenuse:

c = 15.62 feet

Step-by-step explanation:

c² = a² + b²

c² = 10² + 12² = 100 + 144 = 244

c = √244 = 15.62 feet

Answer:

49 entre 3=16.33

la mitad de 49=24.5

Step-by-step explanation:

Step-by-step explanation:

3/5 is the correct answer to this

Step-by-step explanation:

.41 is biggee than 3/5......

Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)

Answer:

a. perimeter is 112

b. area is 784

Answer:

28 feet.

Step-by-step explanation:

Area =  l × w

=  2 × 14

=  28 feet^2

Answer: #1) y=5x-73

#2) y= 2/5x - 47/5

Step-by-step explanation:

Answer:

-1,10

0,8

2,4

3,2

Step-by-step explanation:

plug it in, x with x and y with y

example:

2(-1)+ y=8