Which two expressions are equivalent

Answer:

x = 0

Step-by-step explanation:

Given

2 + 9x = 3(4x + 1) - 1 ← distribute and simplify right side

2 + 9x = 12x + 3 - 1

2 + 9x = 12x + 2 ( subtract 9x from both sides )

2 = 3x + 2 ( subtract 2 from both sides )

0 = 3x ( divide both sides by 3 )

x = 0

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

So we want to find an equation in slope-intercept form that is parallel to:

[tex]y=2x+5[/tex]

And contains the point (4,5).

So to create the equation, we will need to slope and the y-intercept.

First, recall that parallel lines have the same slope. Since we want our equation to be parallel to y=2x+5, this means that the slope of the new equation must be 2.

Now, we can use the point-slope form to solve for the y-intercept. The point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let (4,5) be x₁ and y₁. m is 2 since it's parallel to y=2x+5. Thus:

[tex]y-5=2(x-4)\\[/tex]

Distribute:

[tex]y-5=2x-8[/tex]

Add 5 to both sides:

[tex]y=2x-3[/tex]

And that's our equation :)

Answer:

b is the answer

Step-by-step explanation:

on edg

A logical operation is a particular symbol or term that joins two or more informational expressions. The correct option is B.

A logical operation is a particular symbol or term that joins two or more informational expressions. It is most commonly used to determine if a connection between two sentences is true or untrue.

Given that  p ↔ q represents the statement "He is wearing a coat if and only if the temperature is below 30°F.” Therefore, event p is He is wearing a coat, while event q represents the temperature below 30°F.

Now, In p^q, '^' represents the 'and' operator. Therefore, p^q represents He is wearing a coat and the temperature is below 30°F.

Hence, the correct option is B.

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Answer:

16

Step-by-step explanation:

since sarah spent 60 and there was only $12 left you must

1: subtract 12 from 60 which is 48

2. divide 48 by 3 because she bought 3 pairs of jeans which is 16

Answer:

Equation:

60 - 2p = 12

Each pair of pants:

$24

Step-by-step explanation:

Equation:

60 - 2p = 12

Solve:

-2p = 12 - 60

-2p = -48

p = -48/-2

p = 24

Ceck:

60 - 2*24 = 12

60 - 48 = 12

You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.

Answer:

43°

Step-by-step explanation:

Complementary angles add up to 90° in measurement.

One angle is 47 degrees.

[tex]90-47=\boxed{43}[/tex]

The measurement of the other angle would be 43°.

Hope this helps.

The measure of other angle is 43 degree.

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given that.

Two angles are complementary.

Now consider one angle = x degree

And other angle  = y degree

Then according to question,

Measure of angle x = 47 degree

We know that,

The sum of complementary angles are equal to 90 degree.

Therefore,

x + y = 90

x + 47 = 90

       x = 90 - 47

       x  = 43

Hence, the other angle is = 43 degree.

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Answer:

[tex]\frac{18}{55}[/tex]

Step-by-step explanation:

Which fraction is bigger? [tex]\frac{27}{75}[/tex] or [tex]\frac{18}{55}[/tex]

If you look closely the fraction [tex]\frac{27}{75}[/tex] , it looks big but it actually isn't.

The fraction that is bigger is [tex]\frac{18}{55}[/tex] . This is because 75 is a big number and its only 27 out of the 75. In [tex]\frac{18}{55}[/tex] , it's not as big as 75. So compare 18 and 27 and 75 and 55. 75 is 20 more than 55. The number 27 is only 9 bigger than 18.

That's why your answer is

[tex]\frac{18}{55}[/tex]

Hope this helps!

Answer:

The correct answer is -21 degrees.

Step-by-step explanation:

We know that the original temperature was -12 degrees.  If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature.  This is modeled below:

-12 - 9

Now, we simply have to perform the subtraction to get:

-21 degrees

Hope this helps!

Answer:

29th term = 76.4

Step-by-step explanation:

Total terms = 55

aₙ = a + (n - 1) d

5th term = a₅ = 14

   a + (5 - 1)*d = 14

   a + 4d = 14  --------------------(I)

last term = a₅₅ = 144

               a + (55 - 1)d = 144

      a + 54d = 144----------------(II)

Multiply equation (II) by (-1)

(I)             a +  4d = 14

(II)*(-1)     -a - 54d = -144  {Now add and thus a will be eliminated}

                   -50d = -130

 d = -130/-50

d = 2.6

Plug in d = 2.6 in equation (I)

a + 4* 2.6 = 14

  a  + 10.4 = 14

              a = 14 - 10.4

              a = 3.6

29th term = a₂₉ =  3.6 + (29 - 1)* 2.6

                          = 3.6 + 28* 2.6

                          = 3.6 + 72.8

                     a₂₉ =  76.4

Answer:

76.4

Step-by-step explanation:

Let the first term and common difference of the AP be a and D respectively.

[tex]t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ [/tex]

Answer:

y=30, x=8

Step-by-step explanation:

right angle =90

the angle of a triangle =90-40=50 degrees

the image shows two parallel line with perpendicular line that holding angle 40 and 3y

3y=90 degrees

y=90/3=30 degrees

the sum of the angles of triangle =180

3y+5x+50=180

3(30)+5x+50=180

5x=180-90-50

5x=40

x=40/5=8

the angles are 50,90,40

Answer:

a = 4 b = 5

Step-by-step explanation:

8a + 12b = 92......eqn 1

6a - 4b = 4......eqn 2

multiply eqn 2 by 3

18a - 12b = 12.....eqn 2

add eqn 1 and 2 to eliminate b

26a = 104

a = 4

put a = 4 into eqn 2

18(4) - 12b = 12

72 - 12b = 12

72 - 12 = 12b

60 = 12b

5 = b

Answer: length=28, width=20

Step-by-step explanation:

Let x=width, then length=x+8

x(x+8)=560

x²+8x=560

x²+8x-560=0

(x-20)(x+28)=0

x=20 or x=-28 (rej) since a width can't be negative

20+8=28

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 9/8

Step-by-step explanation:

Step 1: Write out equation

3(x + 2) = -5(x - 3)

Step 2: Distribute

3x + 6 = -5x + 15

Step 3: Add 5x on both sides

8x + 6 = 15

Step 4: Subtract 6 on both sides

8x = 9

Step 5: Divide both sides by 8

x = 9/8

Answer: 9/8

Step-by-step explanation:

Use distributive property to solve

Answer:

Step-by-step explanation:-30x-15y+6

Answer:

− 30 x − 15 y + 5

Just distribute and combine like terms

If you want the complete steps just ask!

Hope this Helps!!

Answer:

The question has an infinite solution

Answer:

stop cheating

Step-by-step explanation:

no

Answer:

9

Step-by-step explanation:

Since S is the point on the line segment RT,

RT = RS + ST, and

Answer:

1200

Step-by-step

$360= 30%

$12= 1%

12*100= 1200

Check

1200/0.3=360

Step-by-step explanation:

Hey, there!!

Answer: See in pictures.

I hope you are searching this.....

Answer:

-8

Step-by-step explanation:

3x-9 = -33

3x= -33+9

3x= -24

x= -24/3

x= -8

hope this helps

The following equation for x. 3x-9=-33 has the valueof x as -8. Thus, option B is correct.

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

The equation that is presented is

3x-9 = -33

3x= -33+9

Simplifying the equation

3x= -24

x= -24/3

The value of x is derived as

x= -8

Therefore, option B is the correct option.

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Answer:

See below

Step-by-step explanation:

Assuming that the garden is a rectangle, its dimensions could be 1 by 11 feet or 11 by 1 feet. Remember that the area of a rectangle is calculated by multiplying its two dimensions together so we just need to find the factor pairs of 11.

Answer:

ok so add the two X's together

-2x+3x=1x

then at 6 and 7= 13

so answer is 1x+13

Step-by-step explanation:

Answer:

x +13

Step-by-step explanation:

3x+6-2x+7

Combine like terms

3x-2x   +6+7

x +13

Answer:

A) Values in the solution set satisfy both inequalities.

B) It is the intersection of two solution sets.

Step-by-step explanation:

We denote intersection as AND.

[tex]A \cap B \implies \text{A and B}[/tex]

Take those sets. The intersection is what A and B share.

Answer:

i think its c.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Since, points D, E and F are collinear.

Therefore,

DF = DE + EF

28 = 3x + 8 + 4x + 6

28 = 7x + 14

28- 14 = 7x

14 = 7x

[tex] \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}[/tex]

14√35

√6860 =

= √686×10

= √686×2×5

= √343×2×2×5

= √49×7×2²×5

= √7²×7×2²×5

= 7×2√7×5

= 14√35

[tex]\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}[/tex]

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

Explanation:

Line PR is tangent to the circle at point T. Angle PTO is 90 degrees because of this.

Angle TON is 124 degrees. Triangle TON is isosceles (since we have two sides of the triangle TO and ON equal to the radius). Therefore angles OTN and ONT are equal base angles. Call these x for now

-------

Since 3 angles of any triangle always add to 180, we can say...

x+x+124 = 180

2x+124 = 180

2x = 180-124

2x = 56

x = 28

Therefore,

angle PTN = (angle PTO) + (angle OTN)

angle PTN = 90 + 28

angle PTN = 118

Answer:

d is the answer

Answer:

m=−37

Step-by-step explanation:

34 = -3 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

34 + m = -3 + -1m + m

Combine like terms: -1m + m = 0

34 + m = -3 + 0

34 + m = -3

Add '-34' to each side of the equation.

34 + -34 + m = -3 + -34

Combine like terms: 34 + -34 = 0

0 + m = -3 + -34

m = -3 + -34

Combine like terms: -3 + -34 = -37

m = -37

Answer:

Sample Response:

The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.