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Answer:

x=4    Area = 56

Step-by-step explanation:

find x :

36 = 2 (3x + 2 + x)   (simplify)

36 = 2 (4x+2)           (divide both sides by 2)

18 = 4x + 2               (solve)

16 = 4x

4 = x

Find Area Substitute value of x

A= l × w

A = (3x + 2) × (x)

A = (3 × 4 + 2) × (4)

A = (12 + 2) × 4

A = 14 × 4  

A= 56

hope this helps :)

Answer:

Answer:$4.56

Step-by-step explanation:

Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

54.79-50.23

$4.56

Hope this helps

thank you have a good day !!

Answer:  B) y = -x+ 5

Step-by-step explanation:

If the x-value in the solution (x, y) is 2, then the y-value is:

[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]

So the solution coordinate is (2, 3).

Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.

A) y = -2x + 4

[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]

B) y = -x+ 5

[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]

C) y = 2x

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

D) y = 2x + 1

[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]

Answer:

i cant even process this.

Step-by-step explanation:

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

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9514 1404 393

Answer:

  p = 30

  angles 30°, 45°; exterior: 75°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angle:

  3p -15 = p + (p +15)

  p = 30 . . . . . . . . . . . . . add 15-2p

The interior angles are 30°, 45°; the exterior angle is 75°.

Answer:

a = 3     b = -4

Step-by-step explanation:

 4  (0.1a -0.4b) = (1.9)      0.4a - 1.6b = 7.6

     0.4a - 1.6b = 7.6

-     0.4a +0.5b = -0.8

-2.1b = 8.4

b = -4

0.4a + 0.5(-4) = -0.8

0.4a - 2 = -0.8

0.4a = 1.2

a = 3

​

Answer:

1h b+h boi gate

Step-by-step explanation:

If semi-monthly means every half a month, then my take home pay is 22864.58333

Answer:

548750/12

approximately 45729

Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

Answer:

1.0246

Step-by-step explanation:

100*1.09 = 109

109*0.94 = 102.46

102.46% = 1.0246

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

Answer: A. He had lost his dog in the vast, open areas.

Step-by-step explanation:

The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.

In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

Therefore, f(c) = 3c+5

OPTION B is the correct answer

Answer:

(B) f(c) = 3c + 5

Step-by-step explanation:

Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".

So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.

Use basic algebra to solve for p:

6c = 2p - 10

6c + 10 = 2p

3c + 5 = p

p = 3c + 5 or f(c) = 3c + 5

Hope it helps (●'◡'●)

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

add positive numbers. then subtract the negative numbers.

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]

Answer:

a rational expression is an expression that has a RATIO in it

look at the word "RATIO"nal

a ratio is just a fraction...

so your question is "how to simplify fractions"

lots of approaches, this is one of them...

PRIME FACTOR the numerator and denominator

[tex]\frac{90}{135}[/tex]

90 = 2 * 3 * 3 * 5

135 = 3 * 3 * 3 * 5

= 2/3 (the two 3's cancel and the 5's cancel)

Step-by-step explanation:

Answer:

- 6, 9 and 27

Step-by-step explanation:

Substitute a = - 3 into the expressions and evaluate

(a)

2a = 2(- 3) = - 6

(b)

a² = (- 3)² = 9

(c)

3a² = 3(- 3)² = 3(9) = 27

don't cheat its bad that u are asking answers for your test

Answer:

unbias

Step-by-step explanation:

Not asking specific group or person.

This survey question is bad/biased., This survey question is good/unbiased. This survey question is bad/biased. Option A is correct.

A survey is a method of gathering information or data from a group of individuals to understand their opinions, attitudes, behaviors, or characteristics. Surveys typically involve asking questions to a sample of people and collecting their responses.

The quality of a survey question is important to ensure that the data collected is accurate, reliable, and unbiased. A good survey question should be clear, concise, and neutral, avoiding any potential bias or leading the respondent to a particular answer.

In the case of the question "Do you always eat breakfast?", it can be considered a bad or biased survey question because it assumes that the respondent either always eats breakfast or does not. It doesn't provide options or consider other possibilities such as occasionally skipping breakfast or having different breakfast habits on different days. This can lead to inaccurate or incomplete responses, limiting the validity and reliability of the data collected.

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Answer:

The time is 13.7 years.

Step-by-step explanation:

principal, P = 28000

Rate of interest , R = 4 % annually

Amount, A = 48000

Let the time is t.

Use the formula of the compound interest.

[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]

[tex]\begin{array}{ccll} Lbs&\$\\ \cline{1-2} 1&2.99\\ 3.2&x \end{array}\implies \cfrac{1}{3.2}=\cfrac{2.99}{x}\implies x = (3.2)(2.99)\implies \stackrel{\textit{rounded up}}{x = 9.57}[/tex]

Answer: Third quadrant

This can be written as Q3 or QIII

This quadrant is in the southwest.

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

Explanation:

There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.

As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.

Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).

Answer:

Step-by-step explanation:

948 x 789 = 747,972

$22.99

Step-by-step explanation:

19.99 increased by 15% ≈ 22.99

Absolute change (actual difference):

22.99 - 19.99 ≈ 3

The difference is $3

Answer:

30 years old

Step-by-step explanation:

If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.

Answer:

Step-by-step explanation:

Let,

Age of her mom be = x

Age of Marlena

[tex] = \frac{1}{6} x[/tex]

We know that,

Age of Marlena is 5 years

Therefore,

By the problem,

[tex] = > \frac{1}{6} x = 5[/tex]

=> x = 5 × 6

=> x = 30

Hence,

Age of her mother is 30 years (Ans)