Solve each equation. For each step. Identify the property used.

14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7

(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)

Answer:

happy vets day

Step-by-step explanation:

Answer:

[tex] x = 18 [/tex]

[tex] y = 7.5 [/tex]

[tex] z = 7 [/tex]

Step-by-step explanation:

✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)

Solve for x

[tex] 8x - 7 + 3x - 11 = 180 [/tex]

Add like terms

[tex] 11x - 18 = 180 [/tex]

Add 18 to both sides

[tex] 11x = 180 + 18 [/tex]

[tex] 11x = 198 [/tex]

Divide both sides by 11

✅[tex] x = 18 [/tex]

✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)

Solve for y

[tex] 2y + 23 = 4y + 8 [/tex]

Collect like terms

[tex] 23 - 8 = 4y - 2y [/tex]

[tex] 15 = 2y [/tex]

Divide both sides by 2

✅y = 7.5

✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)

Plug in the value of y

[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]

[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]

[tex] 38 + 3z^2 - 5 = 180 [/tex]

Add like terms

[tex] 3z^2 + 33 = 180 [/tex]

Subtract 33 from each side

[tex] 3z^2 = 180 - 33 [/tex]

[tex] 3z^2 = 147 [/tex]

Divide both sides by 3

[tex] z^2 = \frac{147}{3} [/tex]

[tex] z^2 = 49 [/tex]

Square both sides

[tex] \sqrt{z^2} = \sqrt{49} [/tex]

[tex] z = 7 [/tex]

Answer:

152 calories

Step-by-step explanation:

The calories count, composition of carbohydrates, fat and protein are related by;

C = 4h + 9f + 4p

where C, h, f, and p have there given meaning.

Given that the serving of a type of nut contains; f = 12 grams, h = 6 grams and p = 5 grams, then;

C = 4(6) + 9(12) + 4(5)

  = 24 + 108 + 20

  = 152

C = 152 calories

Therefore, there are 152 calories in the serving of the certain type of nut.

Answer:

Area of triangle = 1/2*b*h

[tex]\frac{1}{2} * 2.8* 7.8\\\frac{1}{2} * 21.84\\\frac{21.84}{2}\\= 10.92[/tex]

Answer:

10.92 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b= 2.8 and h = 7.8 , then

A = [tex]\frac{1}{2}[/tex] × 2.8 × 7.8 = 1.4 × 7.8 = 10.92 cm²

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

Find:

  ∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

Answer:

Hope it help, please give me BRAINLEST!

Step-by-step explanation:

2y + 5= |3y| + 3 = 3

x - 3= 2

[tex]\sqrt{x} + 2 = 2[/tex]

5x - 17= -3x = 2

3^(x )= 4

3 cos^(2)(x) + 2 cos(x)- 1 = 0

3x-11= [tex]\sqrt{x}[/tex] +3 = 8

2 = |3x|

x - 5= -3

Answer:

5 ( y + 2) = 6 ( y - 1)

- distribute the number outside into the parenthesis by multiplying it with each value

5y + 10 = 6y - 6

- subtract like terms, in this case 5y and 6y

-y + 10 = -6

- isolate the variable ( y)  by getting rid of 10 by subtracting it to both sides

-y = -16

-1y = -16

- isolate variable (y) by getting rid of the -1 next to it by dividing it to both sides

y = -16 / -1

y = 16

Answer:

129.3 pounds

Step-by-step explanation:

A restaurant bought 36.5 pound of meat from a store

The following month they also bought 71.3 pounds of meat and 21.5 pounds of chicken

Therefore the total pounds of meat bought by the restaurant can be calculated as follows

= 36.5 + 71.3 + 21.5

= 129.3 pounds

Answer:

I think the answer is D

Step-by-step explanation:

I hope it was correct...

Answer: the first one you graph the points (-4,11) (-3,4) (-2,-1) (-1,-4) (0,-5) (1,-4) (2,-1) (3,4) (4,11), it is a function because each input has only one output. Then the second is not a function because it does not pass the vertical line test

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

At 10 weeks

Step-by-step explanation:

100+15x=150+10x

15x=50+10x

5x=50 divided both sides by 5 and x=10

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

4 is the answer to 2+2 when we add the numbers

Answer:

Step-by-step explanation:

Step one:

Given that the price last year was $1850

and now the discount is 20%

we first need to solve for 20% of $1850

=20/100*$1850

=0.2*$1850

=$370

This means that the price was reduced by $370

so the new retail price is calculated as

=$1850-$370

=$1480

The correction option is the second in the list of options

The answer would very. Let's say the function is y + 4 = (x + 4)

Two points would be (-4,-4) and (4,0)

Answer:

The Answer for this question in scientific notation is:

2.5e+14

Answer:

5 · [tex]10^{13}[/tex]

Step-by-step explanation:

hope this helps

Answer:

divide it

Step-by-step explanation:

Step-by-step explanation:

Mass of Ball- 0.20KG

Force applied-80N

F= m×a

M=f÷a

M= 80÷0.20

Answwer= 400 m/s(sq)

Answer: No It's not proportional as the constant of proportionality for both of them.are different.

Step-by-step explanation:

For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:

y = kx

150 = 5.5k

k = 27.27

For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:

y = kx

250 = 40k

k = 250/40

k = 6.25

This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.

Answer: C 24

Step-by-step explanation:

The measure of the length of EF in a right-angle triangle is 24 units, then the correct option is C.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The right-angle triangle is shown in a diagram. Then by the Pythagoras theorem, we have

P² = H² - B²

P² = 25² - 7²

P² = 625 - 49

P² = 576

 P = 24

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:3/4 of a 6-ounce glass will be drunk by her in one hour.

Step-by-step explanation:

i did it and got it right

Answer:

[tex] \overline{XY} = 1.5 [/tex]

Step-by-step explanation:

Given:

AB = 3

BC = 5

CA = 6

Required:

Length of XY

SOLUTION:

According to the Triangle Midsegment Conjecture, midsegment [tex] \overline{XY} [/tex] is half the length of [tex] \overline{AB} [/tex].

Therefore:

[tex] \overline{XY} = \frac{1}{2}(\overline{AB}) [/tex]

Thus:

[tex] \overline{XY} = \frac{1}{2}(3) [/tex]

[tex] \overline{XY} = \frac{3}{2} [/tex]

[tex] \overline{XY} = 1.5 [/tex]

Answer:

[tex]ST = 10[/tex]

Step-by-step explanation:

Given

[tex]RT =4x[/tex]

[tex]ST = 5x - 10[/tex]

[tex]RS = 6[/tex]

Required

Determine ST

Since S is on RT, we have that:

[tex]RT = RS + ST[/tex]

[tex]4x = 5x - 10 + 6[/tex]

[tex]4x = 5x - 4[/tex]

[tex]4x - 5x= - 4[/tex]

[tex]-x= - 4[/tex]

[tex]x= 4[/tex]

Substitute 4 for x in [tex]ST = 5x - 10[/tex]

[tex]ST = 5 * 4 - 10[/tex]

[tex]ST = 20 - 10[/tex]

[tex]ST = 10[/tex]

Answer: It Equals 8

Step-by-step explanation:

Point S is on line segment \overline{RT}

RT

. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.

ST

.

\text{Label known information:}

Label known information:

R

S

T

2x + 7

5x – 7

RT = 4x + 9

RS+ST=

RT

Segment addition postulate

\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=

2x+7+5x−7=

\,\,\color{darkred}{4x+9}

4x+9

Substitute expressions

7x=

7x=

\,\,4x+9

4x+9

Combine like terms

-4x\phantom{=}

−4x=

\,\,-4x

−4x

3x=

3x=

\,\,9

9

\frac{3x}{3}=

3

3x

​

=

\,\,\frac{9}{3}

3

9

​

Divide by 33

x=

x=

\,\,\color{darkgreen}{3}

3

\text{Plug in value of }x\text{ to find }ST\text{:}

Plug in value of x to find ST:

ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8

ST=5x−7=5(3)−7=8

\text{You can plug }x\text{ into each expression:}

You can plug x into each expression:

Optional to check work

R

S

T

2(3) + 7

5(3) – 7

RT = 4(3) + 9

\text{Simplify:}

Simplify:

R

S

T

13

8

RT = 21

\text{Final Answer:}

Final Answer:

ST=\color{green}{\mathbf{8}}

ST=8

Answer:

The answer is C

Step-by-step explanation:

Just calculate it

Answer:

372 inches

Step-by-step explanation:

(1 yd = 36 in., and 1 ft = 12 in.)

1 yard stick = 24 in

This means , height of 36 inches casts a shadow of 24 Inches

At the same time a telephone pole casts a shadow of 20 ft 8 in

1 ft = 12 in

Hence,

Convey 20ft to inches

1 ft = 12 in

20 ft = 20 × 12 inches

= 240 inches

Total shadow of the telephone pole = 240in + 8 in = 248 = 248 inches

Hence,

Height/Length of shadow = Height/Length of shadow

36/24= x /248

Cross Multiply

24 × x = 36× 248

x = 36 × 248/24

x = 372 inches

The height of the telephone pole, to the nearest inch is 372 inches

Answer:

k=60 is the awnser.

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130