Which pairs of expressions are equivalent? Select all that apply.

A
-4 - 7 and -4 + (-7)

B
16 - 7 and -16 + 7

C
-7 - (-12) and -7 + 12

D
-2 - 3 and 2 + 3

E
10 - 2 and 10 - (-2)

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m

Answer:

1.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2x and 5 = 2 terms

Answer:

B) 48

Step-by-step explanation:

16 x 3 = 48

Answer:

-10

Step-by-step explanation:

If the equation is 2 x 3+4 x 2-3 x 2- 6(x)=  .  Than the equation would turn into  2 x 3+4 x 2-3 x 2- 6(3) which equals -10.

Multiply 6 by numbers 1 -6:

To get:

6, 12, 18, 24, 30,36

Answer:

1. y = -2x + 5

2.  y = 3/5x + 5

3. y = -4/5x - 4

4. y = - 1

5. yes

6. yes

7. yes

8. no

Step-by-step explanation:

1.   (4,-3) parallel to y= -2x

     -3 = -2(4)+b

     b=5

2. (-5,2) parallel to y = 3/5x

    2= 3/5(-5)+b

     b=5

3. (-5,0) -4/5x

   0 = -4/5(-5)+b

    b = -4

4. (-4,-1)

    y= -1

5. yes

6. yes

7. yes

8. no

          (x,y)  y = mx + b

          plug in the y value and x value in the eqaution and m=slope, solve for b

Answer: 80%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

70% to 0.70

60*0.70= 42

Answer:

$24,25

Step-by-step explanation:

72.75 ÷ 3 = 24,25

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }

Answer:

This is a reflection over the x-axis.

Step-by-step explanation:

As you can see, the in between midway point is across the x-axis.

Answer:

It is 90 degrees

Step-by-step explanation:

Answer:

5 x[tex]10^{5}[/tex]

Step-by-step explanation:

if its scientific notation

Answer:

C) The model will be used to predict planet distances and sizes.

Step-by-step explanation:

A model is used to distort the size and shape of the observed object. Therefore, a model of the solar system will not be accurate when it comes to the planet's distances and sizes. It would take miles upon miles to accurately show the distance between planets.

Answer: D is the answer

Step-by-step explanation:

Answer:

the slope is -1

Step-by-step explanation:

rise over run

Answer:

1 and ⅛

Step-by-step explanation:

have a good day :)

The amount of floor required to make the recipe is 2 1/4 then if she wants to make 7/2 times of recipe then the amount of floor required will be 7.87 cups.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data provided in the question,

The amount of floor required to make the recipe = 9/4 = 2.25 cups

But, Saron wants to make 3 1/2 times of recipe.

= 7/2 times or 3.5 times.

So, the amount of floor requried for this will be equal to,

3.5 × 2.25 = 7.87 cups of the floor.

To know more about arithmetic operations:

https://brainly.com/question/25277954

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Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

Answer:

b

Step-by-step explanation:

count two up, and 5 to the right

Answer:

n = -3

Step-by-step explanation:

distribute

27n + 108 + 18n = 7n - 126 - 40n

combine

45n + 108 = -33n - 126

add 33n to both sides and subtract 108 to both sides

78n = -234

divide by 78

n = -3

Answer:

Its D.

Step-by-step explanation:

Just did it.

Answer:

d

Step-by-step explanation:

just did it

Answer:

Step-by-step explanation: ???

Answer: 22 gallons of gas.

The amount of gas needed to travel 330 miles will be 36.67 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A van travels 180 miles on 12 gallons of gas. Then the rate is given as,

Rate = 20 / 180

Rate = 0.1111 gallons per mile

At that rate, the amount of gas needed to travel 330 miles will be given as,

⇒ 330 x 0.1111

⇒ 36.67 gallons

The amount of gas needed to travel 330 miles will be 36.67 gallons.

More about the ratio and the proportion link is given below.

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Answer:

It should be (179 - 4x)

Step-by-step explanation:

Answer: suckkkkkkkdbejehejjssjsj

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

just trust me

Answer:

Step-by-step explanation:

First you gotta divide 3.50 ÷5 = 0.70. 0.70 cents is what one pound of apples cost

Recursive Formula

[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]

The top row says the first term is 8

The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.

Note the subscripts tell us which term we're working with.

======================================================

Arithmetic Formula

We have a = 8 as the first term and d = -7 as the common difference.

a(n) = a + d(n-1)

a(n) = 8 + (-7)(n-1)

a(n) = 8 - 7n + 7

a(n) = -7n+15

The nth term arithmetic formula is a(n) = -7n+15

If you plug in n = 1, you should get a(n) = 8

If you plug in n = 2, you should get a(n) = 1

and so on.

=======================================================

Finding the 10th term

Plug in n = 10 to get

a(n) = -7n+15

a(10) = -7(10)+15

a(10) = -70+15

a(10) = -55

The 10th term is -55

Answer:

x = ±i[tex]\sqrt{2}[/tex], x = ±i

Step-by-step explanation:

x^4 + 3x^2 + 2 = 0

x^4 + x^2 + 2x^2 + 2 = 0

x^2 ( x^2 + 1 ) + 2 ( x^2 + 1 ) = 0

( x^2 + 2 ) ( x^2 + 1 ) = 0

x^2 + 2 = 0, x^2 + 1 = 0

x^2 = -2, x^2 = -1

x = ±i[tex]\sqrt{2}[/tex], x = ±i

Answer:

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

Step-by-step explanation:

9x^4+2x^2y^2+y^4

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

Both terms are perfect squares. So you will factor using the difference of squares formula. a^2-b^2=(a+b)(a-b)

Take what the square is for every term.

9x^4. What squared is 9? 3 and take half of the power or 2. That's how you get the 3x^2

2x^2y^2 is the same way. 2xy and 2xy

y^4 is y but dived he powers by 2 to get y^2.

Take one of each and but in () like I have above.

Answer:

Step-by-step explanation:

we are going to apply the part to all method to solve this problem

Step one:

Given that the ratio of pears to banana is 6:5

the total ratio is 6+5= 11

and the total fruit is 44

Step two:

let the number of banana be x

applying the part to all method

5/11=x/44

cross multiply we have

11x=44*5

11x=220

divide both sides by 11

x=220/11

x=20

the bananas are 20 in numbers