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Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

#CarryOnLearning

Answer:

9

Step-by-step explanation:

450/50

Answer:

carios has greater angle

Step-by-step explanation:

hope this helps

Answer:

1

Step-by-step explanation:

Don't worry I just know

6. x=100

7.x=75

8.x=30

10.x=112

11.x=58 y=58

Answer:

6) x = 70°

7) x = 75°

8) x = 30°

10) x = 112°

11) x = 58° , y = 58°

Step-by-step explanation:

6) two congruent sides means two congruent angles

   x + x + 40 = 180         2x = 140

7) two congruent sides means two congruent angles

   both base angles measure 75 degrees

8) isosceles triangle (has two equal sides)   75(2) + x = 180    150 + x = 180

10)  two congruent angles means two congruent sides

      44 + 2n = 180      2n = 136      n = 68

      angles n and x form a linear pair and equal 180

      180 - 68 = 112

11) isosceles triangle so ∡x = ∡y   64 + x + x = 180

   64 + 2x = 180      2x = 116        x = 58

Answer:

7/9 = 21/27 hope this helps

Step-by-step explanation:

Answer:

2rs/3

Step-by-step explanation:

i also agree to this question

Answer:

i also agree to this question

Step-by-step explanation:

Step-by-step explanation:

speed = distance/time

= 12/3 m/s

= 4 m/s

4

V = s/t

= 12/3

=4

S = move

T = time

V = speed

Answer:

The answer is c. 0.027.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.18*0.15=0.027  choice C

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

The answer is 300

Answer:

300 students

Step-by-step explanation:

hope this helps!

Answer: "B"

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given the system of equation as;

A,  { 6x + 8y = -10}

      {2x - 5y = 12}

B, {8x + 3y = 2}

    {12x + 16y = -20}

If we add the first two equations that shown in A, then;

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2, So

2(6x + 8y = -10)

12x + 16y = -20

Therefore, the correct option is Option B.

Learn more about equations here;

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Step-by-step explanation:

if one were to put the y value the equation they could find out what x is for a certain value of y

putting the value of y(1), we get the equation

1=4x-1

2=4x

x=0.5

the value of x when y is 1 is =0.5

NOTE: I got this explanation on brainy on someone else I am not taking the credit

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The function is,

y = 4x - 1

Now, The graph of function y = 4x - 1.

And, At y = 1;

By the graph the value of x = 1/2.

And, In mathematically;

At y = 1

The value of x is;

y = 4x - 1

1 = 4x - 1

4x = 2

x = 2/4

x = 1/2

Thus,

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

Learn more about the linear expression visit:

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Answer: 7:1

To find the unit rate or unit ratio, divide 56 by 8.

56/8 = 7.

So, per 7 tulips it costs 1 dollar, or $1.

So the ratio, 7:1 represents this problem.

Answer:

-5

Step-by-step explanation:

Hope it will help you

Answer:

Option D

Step-by-step explanation:

From the picture attached,

Coordinates of point C → (1, 3)

Coordinates of point C'→ (-1, -3)

Option A.

rotation 180° counterclockwise about the origin.

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option (B)

Reflection across the origin

Rule for the reflection is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option C

Rotation 180° clockwise about the origin

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True.

Option D

Reflection across the line y = -x

Rule for the reflection,

(x, y) → (-y, -x)

By this rule,

C(1, 3) → C'(-3, -1)

False.

Therefore, Option D will be the answer.

Answer:

D

Step-by-step explanation:

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n           r

1        30.00

2       33.60

3       37.63

4       42.15

5       47.21

6       52.87

7       59.21

8       66.32

9       74.28

10      83.19

11       93.18

12      104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

if each rabbit consume 10 lbs of rabbit food each year

n           r                food consumed(lbs)

1        30.00               300

2       33.60               336

3       37.63                376

4       42.15                422

5       47.21                472

6       52.87               529

7       59.21                592

8       66.32               663

9       74.28               743

10      83.19                832

total                          5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Answer:

Quotient is 11

Step-by-step explanation:

In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.

On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.

We know that,

11 × 1 = 11

And 11 × 5 = 55

So, the quotient in this case is 11. Hence, this is the required solution.

Have A Wonderful Day !!

Answer:

9= .8

10= .2

11=  4

12= 1/3

13= -2

14= -2/3

cant do 15 no draw tool

part 2

1. 10

2. -5

3. -5

4. -13

5. -2

6. .5

7. 4

8. -2

Step-by-step explanation:

[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]

Answer:

The right number line is the third one

Step-by-step explanation:

it matched with the equations

Answer: its the 3rd one open circle on -2 and move to the left. closed circle on 4 move to the right.

Step-by-step explanation:

yea

Step-by-step explanation:

horizontal line I believe

Answer:

[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope

Step-by-step explanation:

Given

Perpendicular to [tex]y = 4x[/tex]

Required

Determine its equation

The general form of an equation is:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 4[/tex]

Next, we calculate the slope of L.

Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

The equation of L in slope intercept form is: [tex]y = mx + c[/tex]

Substitute -1/4 for m

[tex]y = -\frac{1}{4}x + c[/tex]

In point slope form, we have:

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

Substitute -1/4 for m

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]

Answer:

y-4=-1/4(x-1)

y=-1/4x+17/4

Step-by-step explanation:

Answer:

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