The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Write an equation that could be used to find the length of the parallelogram. (Remember: the perimeter of a rectangle is the sum of the lengths of its sides or P=2L + 2W)

Answer:

There will be 24 boys, 32 -8 = 24

Step-by-step explanation:

In the class there is 20 boys.

All these are alzebraic expressions. A monomial consists of only one term, binomial contains two terms and a polynomial is when the number of terms is two or more than two.

In the given question

There are 8 more boys than girls in a class of total 32 students

let the number of girls be x according to the given data boys will be (x + 8)

∴ {x + (x+8)} = 32

 2x + 8 = 32

 2x = 24

   x = 12

∴ the no. of girls = 12 and no. of boys = 12+8 = 20.

Learn more about Polynomials here :

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Answer:

100(1/a + 1/b)

Step-by-step explanation:

Machine A takes a hours to make 100 bolts

Machine B takes b hours to make 100 bolts

Two machines will make:

bolts in one hour

Answer:

Step-by-step explanation:

Let a, b, c represent the amounts received by the first, second, and third person, respectively.

  2a-1 = b

  c = b+11

  a + b + c = 224

Substituting for c, we have ...

  a + b + b+11 = 224

  a +2b = 213

Substituting for b, we have ...

  a +2(2a -1) = 213

  a +4a -2 = 213 . . . . . eliminate parentheses

  5a = 215 . . . . . . . . . . add 2

  a = 43 . . . . . . . . . . . . .divide by 5

  b = 2a -1 = 2(43) -1 = 85

  c = b +11 = 85 +11 = 96

The amounts received were ...

Greetings from Brasil...

According to the statement of the question, we can assemble the following equation:

9 + 6X = 3

6X = - 6

Answer:

There is 243.84 cm in 8 feet.

Step-by-step explanation:

We have:

1 inch = 2.54 cm

1 feet = 12 inch  

We can find the number of centimeters (n) present in 8 feet as follows:

[tex] n = \frac{2.54 cm}{1 inch}*\frac{12 inch}{1 ft}*8 ft = 243.84 cm [/tex]

Therefore, there is 243.84 cm in 8 feet.

I hope it helps you!

Answer:

243.84

Step-by-step explanation:

You can use the commutative property to rearrange the problem like this, 18 + 28 * 28 * 28 * 28 = 130

Basically, you can use the properties of operations to solve 18 + 4(28) in various ways. Though whichever operation you apply must give you the same result. The result of 18 + 4(28) is 130.

   The four basic types of properties of operations are commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication.

   According to the purplemath site, "The word 'commutative' comes from 'commute' or 'move around', so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is 'a + b = b + a'; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is 'ab = ba'; in numbers, this means 2×3 = 3×2."

   According to the splashlearn site, "the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the sum does NOT change irrespective of how the addends are grouped. Here's another example. ( 75 + 81 ) + 34."

   According to the mathwarehouse site, "In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."

   According to the math site, "Identity property. The identity property for addition tells us that zero added to any number is the number itself. Zero is called the 'additive identity.' The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself."

Answer:

Sample response: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

Step-by-step explanationWhich reasons did you include in your response? Check all that apply.

The distributive property can be applied to multiply 4(28) mentally.

The number 28 can be expanded to 20 + 8.

The commutative property can be applied to reverse the order of numbers.:

hope this helps \_(-^-)_/

Answer:

Step-by-step explanation:

There is no solution for system of equations:  [tex]a_1x+b_1y=c_1\\a_2y+b_2y=c_2[/tex]

if:     [tex]a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}[/tex]

so first, we we need to transform the equations to the form where the coefficients at y will be the same:

[tex]kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21[/tex]

Now we have  b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂

5k = 12

÷5     ÷5

k = ¹²/₅

Answer:

x=−70/31

thats the answer

Answer:

-6

Step-by-step explanation:

x=?

y=8

2x + 3y = 12

=>2x+(3 *8)= 12

=>2x+24 =12

=>2x=12-24

=>x=-12/2

=>x=-6

Answer:

- x + 2y = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (3, 2)

m = [tex]\frac{2-0}{3+1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex], thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

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

Using (3, 2) , then

2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 2 - [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form

Multiply through by 2

2y = x + 1 ( subtract x from both sides )

- x + 2y = 1 ← in standard form

Answer:

A) x≤-5

Step-by-step explanation:

4x+12≤-8

4x≤-20

x≤-5

Answer:x <_>Step-by-step explanation:

Answer:

22¹/²

Step-by-step explanation:

y/36=15/24

cross multiply

y×24=36×15

24y=540

divide both sides by 24

y=540/24

y=22¹²/²⁴

break it down

y= 22¹/²

Answer:

22.5

Step-by-step explanation:

cross multiply

y/36 = 15/24

y×24 = 36×15

y×24 = 540

take 24 on the other side and divide it by 540

y = 540/24

y = 22.5

Answer:  (10,5)

Step-by-step explanation:

You have to graph it but the equations are

x+y=15 (total number of games and rides)

2x+4y+40 (total money spent)

first equation is also y= -x+15

second is 4y= -2x+40

                 y= -.5x+10

So graph y= -x+15 and y= -1/2x+10 and where the lines cross is your answer

also -x+15= -.5x+10

           15=.5x+10

           5=.5x

           10=x

10+y=15

y=5

(10,5)

Answer:

Step-by-step explanation:

This is a ratio problem and Sophia is expected to simplify the ratio by finding the smallest possible values and not to compound it by multiplying by some values

We can represent the given ratio 60:36 as a fraction.

60/36

we proceed to reduce the fraction by dividing both the numerator and the denominator by a common factor say 6

10/6

We can further reduce with a common factor of 2

5/2

re-writing the ratio we have 5:2

Answer:

  C)  31.2

Step-by-step explanation:

The length of AB can be found from the Pythagorean theorem:

  AB² = AD² +BD²

  AB = √(25 +144) = 13

All of the right triangles are similar, so ...

  BC/BD = AB/AD

  BC = BD(AB/AD) = 12(13/5)

  BC = 31.2 . . . units

Answer:

C

Step-by-step explanation:

Rewrite the equation:

1/3  ⋅  ( πr2 ( 3r−h )) =  V.

Answer:

Explained below.

Step-by-step explanation:

The value of different types of coins are as follows:

1 penny (p) = 1 cent

1 nickel (n) = 5 cents

1 dime (d) = 10 cents

1 quarter (q) = 25 cents

It is provided that Taylor has 18 cents in dimes and nickels in her pocket.

This is not possible.

Because the sum of any number of dime and nickel coins will always be a multiple of 5.

a·d + b·n = 10a + 5b = 5 (2a + b)

The value 18 cents can be formed as follows:

8p + d = 18 cents

3p + n + d = 18 cents

3n + 3p = 18 cents

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Since two negative sign  = positive sign

Therefore,

7 + 11 = 18

hope it helps

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{32 \: {m}^{2} }}}}}[/tex]

Step-by-step explanation:

Given,

Length of a rectangle( l ) = 8 m

Width of a rectangle ( w ) = 4m

Area of a rectangle ( A ) = ?

Finding the area of a rectangle having a length of 8m and a width of 4m

[tex] \boxed{ \bold{ \sf{area \: of \: a \: rectangle = length \times width}}}[/tex]

plug the values

⇒[tex] \sf{ area \: of \: a \: rectangle = 8m \times 4m}[/tex]

Multiply the numbers : 8 and 4

⇒[tex] \sf{area \: of \: a \: rectangle = 32 \: {m}^{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

122 strawberries

Step-by-step explanation:

divide 2928 by 24 to get the number of strawberries in each box

Answer:

Step-by-step explanation:

In this problem we are required to find the percentage decrease in the value of a car that originally cost $25,000

if the present value is now $14,000

we can solve for the percentage decrease by presentment the original cost of the car by the original cost and multiplying by 100

i.e = (14,000/25,000)*100

= (14/25)*100

= 0.56*100

= 56%

Hence the value of the car has decreased by 56%

Answer:

60(a+b) means that you would have to distribute

While 60a+ 60b is already in it's simplest form

Answer: The answer is 700

Step-by-step explanation:

I hope is right?

Answer:

1. 20(-1) - (-4) (-5)= -40

2.[-12 + (-3 - 3)]= -18

Step-by-step explanation:

20(-1) - (-4) (-5)

=(20 * -1) - (-4 * -5)    

(When 2 numbers are written next to each other in   brackets without any sign in between them, it means multiplication)

=(-20) - (20)

= -20 -20

= -40

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

[-12 + (-3 - 3)]

=[-12+(-6)]

=[-12-6]

= -18

The mean is affected by the skewness, whereas the median is not.

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Let's go through the answer choices to see which are true and which are false.

Answer:

AB=14

Step-by-step explanation:

First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.

Then you distribute the two and get 4x-8=28.

Then you add 8 to 28 and get 36.

Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.

So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.

So it is 2(9)-4 which is 18-4 which equals 14.

Answer:

It's called a straight angle, it's a straight line.

Step-by-step explanation:

Literally a straight line.

Answer:

Straight angle ..

Answer:

33

Step-by-step explanation:

[(3+5)⋅2−5]⋅3

[8·2−5]⋅3

[16−5]⋅3

11⋅3

33

Answer:

33

Step-by-step explanation:

Lets break it down. Remember PEMDAS

[(3+5)⋅2−5]⋅3

[(8)⋅2-5]⋅3 start with the parenthisis

[16-5]⋅3 multiply

[11]⋅3

33

hope this helps :)