Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4

Answers

Answer 1

Answer:

x=-2

Step-by-step explanation:

−5x−2+2x=−2x+4+2x

−3x−2=4

Step 2: Add 2 to both sides.

−3x−2+2=4+2

−3x=6

Step 3: Divide both sides by -3.

−3x

−3

=

6

−3

x=−2

Answer 2

Answer:

x=-2

Step-by-step explanation:


Related Questions

what is this multiplacation?

Answers

Answer:

2 5/18

Step-by-step explanation:

multiply across.

Answer:

improper fraction is 77/18 mixed number form 4 5/18 decimal form 4.27 thank me later

Step-by-step explanation:

Evaluate the expression 5 exponent 2

Answers

Answer:

25

Step-by-step explanation:

5^2

This means multiply 5 two times

5*5

25

To multiply two fractions, multiply the numerator by the

Answers

Answer:

Other numerator.

Answer:

multipy the numerator by the other numerator

Narancia out~!

Describe the effect f(1/4x) will have on the function f(x) = x2. The vertical coordinates will increase their distance from the x-axis by a factor of 4. The vertical coordinates will decrease their distance from the x-axis by a factor of 4. The horizontal coordinates will increase their distance from the y-axis by a factor of 4. The horizontal coordinates will decrease their distance from the y-axis by a factor of 4.

Answers

Answer:

It is c

Step-by-step explanation:

Someone!!! Please help!!!!!!!!!!

Answers

answer. 137.5 degrees

Step-by-step explanation: 135+140=275/2=137.5

3. POPULATION The population of Ghostown, USA is decreasing at a rate of
3 people per year. If there are currently 831 people living in the town,
when will the town be deserted?​

Answers

277 years because 831 people/3 people per year = 277 years

How many centimeters are in 2.37 meters???

Answers

Answer:

237 centimeters

Step-by-step explanation:

A foot = 30 centimeters

We know 1 meter or 1m is equivalent to around 3 feet. The exact measurement of a meter is 3.28 feet. So 1m = 100 centimeters because one foot equals 30 centimeters. .28 of a foot is 10 cm.

2 meter = 200 cm

.37 = 37 centimeters because each 0.01 in a meter = 1 cm. And there are 100 cm in a meter so we can accurately say 2.37 meters are 237 cm.

P.S

Have an Amazing Day! I Hope This Helps and Good Luck!

-Faker/Tosrel

Find the number of strings of six lowercase letters from the English alphabet, which satisfies the given conditions. Six lowercase letters contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.

Answers

Answer:

The answer is 1,275,120

Step-by-step explanation:

The goal of this is to determine the number of strings of strings of six lowercase letters from the English alphabet that contain the letters a and b in positions consecutive with a preceding b, with all the letters distinct.

Now,

As the letters  a and b are consecutive, the possible string outcomes are in this form:

ab_ _ _ _

_ab_ _ _

_ _ab_ _

_ _ _ ab_

_ _ _ _ ab

As seen here, ab can denoted in five locations as in C (5, 1) = 5 ways

we use the permutation for the order of the letters to be needed.

so,

n= 24, r =4

p (24, 4) = 24ǃ /( 24 - 4)ǃ

= 24ǃ /20ǃ

=255,024

Now, the number of possible strings is 5* 255.024 = 1,275,120.

In conclusion there are 1,275,120 number of strings of six lowercase letters from the English alphabet contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.

In the figure below, ∠APE and ∠EPD are congruent.
What is the arc measure of AC on circle P in degrees?

Answers

Answer:

P = 54 so

arc AC = 150

Step-by-step explanation:

The measure of AC on circle P in degrees is 118degrees

To get the measure of the arc AC on the circle, we will use the formula for calculating the angle at a point.

The sum of the angle at a point is 360 degrees, hence:

arc AB + arcBC + arcCD + arc DE + arcEA = 360

If ∠APE and ∠EPD are congruent, this means that arc DE = arcEA. The equation becomes:

arc AB + arcBC + arcCD + arc DE + arcDE = 360

Substitute the given angles into the expression:

arc AB + arcBC + arcCD +2arcDE = 360

126 + 74 + 42 + 2arcDE = 360

242  + 2arcDE = 360

2arcDE = 360 - 242

2arcDE = 118

arcDE = 118/2

arcDE = 59

arcAC = 2(arcDE)

arcAC = 2(59)

arcAC = 118 degrees

Hence the measure of AC on circle P in degrees is 118degrees

Learn more here: https://brainly.com/question/24356953

12. A company charges $8 to make a pattern for an order of t-shirts and $11 for each t-shirt it produced from the pattern. The expression $11n + $8 represents the cost of n t-shirts with the same pattern. Find the total cost for 35 t-shirts with the same pattern.

Answers

Answer:

Total cost of t-shirts = $393

Step-by-step explanation:

A company charges a fixed rate of $8 for the printing of pattern on the whole order of t-shirts.

It also charges a variable rate of $11 for each t-shirt.

So the equation for the total cost of the t-shirts becomes,

Total cost of t-shirts = $8 + $11n

Where n is the number of t-shirts.

We are given n = 35 t-shirts

So the total cost of t-shirts are,

Total cost of t-shirts = $8 + $11(35)

Total cost of t-shirts = $8 + $385

Total cost of t-shirts = $393

Figure A is a scale image of Figure B.

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

You see if A is a scale representation of B then 2cm rep 5cm.

thereby, We can say that 1cm rep 2.5cm in the scale.

1cm rep 2.4cm

=12.5cm

12.5 ×1\2.4 =5cm

x=5cm

QUESTIONING STRATEGIES
If a cone shares a base with a cylinder, and the
volume of the cylinder is given, along with the
heights of the cylinder and of the cone, how could
you find the volume of the cone?

Answers

Answer:

  cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height

Step-by-step explanation:

Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.

We are told they have a common base area (B), so ...

  V1 = Bh1   ⇒   B = V1/h1

  V2 = (1/3)Bh2 = (1/3)(V1/h1)h2

The volume of the cone is ...

  V2 = h2/(3h1)×V1

"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."

i need the steps for 26

Answers

Answer:

K = 51

Step-by-step explanation:

Since the triangles are similar, the angles are the same measure.

<K = <F

We can find angle F since the angles of a triangle add to 180

D + G + F = 180

59+70 +F = 180

Combine like terms

129+F = 180

Subtract 129 from each side

129-129+F = 180-129

F = 51

K = F = 51

Answer:

51°

Step-by-step explanation:

Angle K corresponds to Angle F

Angle F = 180 - 70 - 59

Angle F = 51°

From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

Answers

Answer:

The maximum dimension for box will be side length as 26.667 inches and height will be 6.667 inches and volume will be 4741 cu inches.

Step-by-step explanation:

Given:

With dimensions as

40x40 square and sides are folded in square corners.

To Find:

Maximum volume that will yield and maximum dimension for box

Solution:

Consider, a box with 40 x 40 dimensions as follows and

let a x side length square corners are cut and folded up and a new figure is formed .and for that what will be the maximum volume and dimension.

Now,

as the there 2 corner for each side i.e. 2 square on side length

Resultant length will be 40-2x

So volume is given by ,

[tex]V=l^2*h[/tex]

[tex]=(40-2x)^2*x[/tex]

[tex]V=(40^2-2*2x*40+4x^2)*x[/tex]

[tex]V=(1600-160x+4x^2)*x[/tex]

[tex]V=4x^3-160x^2+1600x[/tex]

To get Maximum volume differentiate w.r.t 'x'

[tex]V'=12x^2-320x+1600[/tex]

[tex]V"=24x-320[/tex]

Now solve for x with help of quadratic equation we get ,

12x^2-320x+1600

=4(3x-20)(x-20)

Therefore ,

3x-20=0 or x-20=0

x=20/3 or x=20

x=16.666 or x=20

Now use this values in a 2nd derivative equation,

V"=24(6.667)-320)

V"=160-320

V"=-160 <0 ,................equation(1)[Here maximum volume will be presented]

For X=20

V"=24*20-320

V"=480-320

=160>0 ..................Equation(2)[here minimum volume will presented]

Comparing equation 1 and 2 we get ,

Take as x=20/3 as the folded square length as it is gives minimum value for 2nd derivative.

So

[tex]V=(40-2x)^2*x[/tex]

[tex]V=[40-2(20/3)]^2*20/3[/tex]

[tex]V=[40-40/3]^2*6.667[/tex]

=[tex][26.667]^2*6.667[/tex]

=4740.95

=[tex]4741 cu inches.[/tex]

So side lengths =40-2x=40-2*20/3

=40(1-1/3)

=40(2/3)

=26.667 inches

And the height will be x=20/3=6.667 inches.

In order to answer the question correctly, please use the following image below:

Describe the error in finding the angle measure.

Find the correct angle measure.

m∠SUT=(blank)

What is the error in finding the angle measure? What is the correct angle measurement of SUT?

Please show all the work on how you got your answers.(Note: If you are unable to explain your work then it's fine. All that I am asking for is for the work to be shown so I can see how you got your answers)

Answers

Answer:

  see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

  (37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

Comment on the error

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.

Answer:

1) A

2) 41.5°

Step-by-step explanation:

SUT would have been 46° if U was the centre

Angle SUT = (37+46)/2

= 83/2

= 41.5

Jerry buys three jeans at $39.98 each the sales tax on clothes is a punch to 5% what is the total cost of the sale?

Answers

Answer: $43.28

Step-by-step explanation: To find the sales tax, first convert 8.25% to a decimal. 8.25% as a decimal is 0.0825.

Now simply multiply 0.0825 x 39.98 which equals about 3.30

So, the total sales tax is $3.30

Now add $3.30 to $39.98 which equals a total cost of $43.28

The temperature was very cold then it dropped 10 degrees and then it increased 40 degrees the temperature is now 16 degrees. What is the starting temperature?

Answers

Answer:

The initial temperature was To = -14 degrees

Step-by-step explanation:

Solution:-

- We will take the starting temperature to be = Ti

- The final temperature, Tc = 16 degrees

- We are given that there is a drop of 10 degrees from initial temperature To. We can mathematically express this as:

                                 To - 10

- Then there is a rise of 40 degrees after the drop of 10 degrees. The mathematical expression would be:

                                 To - 10 + 40

- The current temperature is Tc. We can equate the expression developed to final temperature:

                                 To - 10 + 40 = Tc

- Solve for To:

                                 To = 16 - 40 + 10

                                 To = -14 degrees

Answer:

-14 degrees

Step-by-step explanation:

In this question, we are asked to calculate the starting temperature if we know what the temperature is now and the kind of temperature change that has happened.

Now, since we do not know the initial temperature , let’s call it x

from the question, it dropped by 10 and increased by 40 and finally with a temperature of 16.

mathematically

x-10+40= 16

x+30 = 16

x = 16-30

x = -14

Ethan and Layla work at a furniture store. Ethan is paid $235 per week plus 9.5% of his total sales in dollars, xx, which can be represented by g(x)=235+0.095xg(x)=235+0.095x. Layla is paid $53 per week plus 10.5% of her total sales in dollars, xx, which can be represented by f(x)=53+0.105xf(x)=53+0.105x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answers

Answer:

  $18,200

Step-by-step explanation:

We want ...

  f(x) = g(x)

  53 +.105x = 235 +.095x . . . . use given expressions

  .01x = 182 . . . . . . .  subtract 53+.095x

  x = 182/.01 = 18200 . . . . . divide by the coefficient of x

Each must sell $18,200 for their weekly pay to be the same.

together preston and horatio have 49 video games. horatio has 11 more then preston. how much does each person have

Answers

each person has about 19 each

all you have to do is 49-2=38

38 divided by 2 = 19

Answer:

Horatio has 30 video games and Preston has 19

Step-by-step explanation:

Set up an equation:

x = Games horatio has

Since theres two people we will give x the coefficient of 2

You get 11 from how much more horatio has

49 is the total

The Equation

49 = 2x + 11

Solve

49 = 2x + 11

-11        - 11

38 = 2x

19 = x

Preston has 19 video games and since horatio has 11 more horatio has 30 video games

Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then find the correct number of pints of lemonade. Jackie divided the number of quarts by 2. There are pints in each quart. She should have 2; so Jackie made pints of lemonade.

Answers

Answer:

Jackie is incorrect. Since 2 pints equal 1 quart, she would need to multiply 12 by 2 to get the correct answer of 24 pints.

Hii help I to lazy to do it

Answers

Answer:

3 cans

Step-by-step explanation:

We need to find the area of the deck

A = 9 1/9 * 3

Changing to an improper fraction

9 1/9 = (9*9+1)/9 = 82/9

A = 82/9 *3 = 82/3

Changing back to  a mixed number

82/3 = 27  1/3

Each can covers 10 m^2

We will need 3 cans

Answer:

3 cans

Step-by-step explanation:

3*9 1/9=27.3 meters^2

the closest  number of cans for 27.3 meters^2 is 3 because

1 can=10 meters^2

2 cans=20 meters^2

3 cans=30 meters^2

so by estimating 3 cans would be the closest compared to 20 and 10.

What is the volume of a cube with a side length that measures 112 ft?

Answers

Answer:

1,404,928 is the volume of a cube with a side length that measures 112 ft

Answer:

1,404,928 is the volume

What is the area of the following figure?

Answers

Answer:

69

Step-by-step explanation:

Sorry if its wrong, couldn't read it well

Answer:

The answer is 69cm²

It is kinda hard to see the numbers in the pic, but I hope this was the answer you were looking for!!  :)

50 pounds to 35 pounds

Answers

We have to find the percent of change :

50 pounds to 35 pounds

Original amount = 50 pound

New amount= 35 pounds

Since, New amount is less than the original amount,

this is a percentage of decrease.

Change in amount =35 -50  = -15 pound

percentage change= change of amount/original amount x 100

substitute the given values we have:

percentage change= -15/50 x 100

simplify:

percentage change= -30%

Therefore the decrease is 30%

Brainliest????

Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 30 min. (a) If the initial population is 100, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes).

Answers

Answer:

[tex]Q(t) =[/tex] [tex]100(2)^t[/tex]

Step-by-step explanation:

please see the attached files for more details

Joan, Kylie and Lillian all celebrate their birthdays today. Joan is 2 years younger than Kylie, and Kylie is 3 years older than Lillian. Which of the following could be the combined age of all three birthday celebrants today?A. 51
B. 52
C. 53
D. 54
E. 55

Answers

Answer: Option 'B' and 'D' are correct.

Step-by-step explanation:

Since we have given that

Let the age of Lilian be 'x'

Let the age of Kylie be 'x+3'.

Let the age of Joan be 'x+3-2=x+1'.

So, According to question, we get :

Total sum of all three birthday celebrants today would be

[tex]x+x+3+x+1=3x+4[/tex]

If we put 52, we get that

[tex]3x+4=52\\\\3x=52-4\\\\3x=48\\\\x=\dfrac{48}{3}=16[/tex]

If we put 55, we get that

[tex]3x+4=55\\\\3x=55-4\\\\3x=51\\\\x=\dfrac{51}{3}\\\\x=17[/tex]

Hence, Option 'B' and 'D' are correct.

Using algebra, we express each person's age in variables, create a relationship between them, and find that the only option that can represent their combined age as a sum of 3L + 4 is 52. Therefore, option B is the correct answer.

To solve this problem, we can begin by assigning variables to each person's age and then creating equations based on the information provided. Let's let the variable L represent Lillian's age, K represent Kylie's age, and J represent Joan's age.

From the problem, we know that:

Joan is 2 years younger than Kylie: J = K - 2

Kylie is 3 years older than Lillian: K = L + 3

Now, using the second equation, we can express Joan's age in terms of Lillian's:

Substitute the value of K from the second equation into the first: J = (L + 3) - 2

This simplifies to: J = L + 1

Now we can express the combined age of Joan, Kylie, and Lillian:

Combined age: J + K + L

Substitute J and K with the expressions in terms of L: (L + 1) + (L + 3) + L

Add them: 3L + 4

Now, we have to check which option is divisible by 3 when 4 is subtracted from it because the combined age should be in the form 3L + 4. Among the options given:

A. 51 - 4 = 47 (Not divisible by 3)

B. 52 - 4 = 48 (Divisible by 3)

C. 53 - 4 = 49 (Not divisible by 3)

D. 54 - 4 = 50 (Not divisible by 3)

E. 55 - 4 = 51 (Not divisible by 3)

The correct answer is option B, which makes the combined age of Joan, Kylie, and Lillian equal to 52 years.

Which equation can be used to find the volume of this solid? A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. V = 11 times 9 times 7 V = 11 + 9 + 7

Answers

Answer:

V = 11 times 9 times 7

Step-by-step explanation:

To answer this question, a dimensional analysis must be done.

The volume has cube length as a unit, that is, l ^ 3

We analyze each option

V = base * height * height

ignoring what each one means, we know that each one is measured in length therefore:

V = L * L * L = L ^ 3 that is to say that in this way the volume can be found.

The other way is:

V = base + height + height

If we replace, we have to:

V = L + L + L = L, and the volume does not have units of length, therefore this option is not viable.

Which means that the option of V = 11 times 9 times 7 is correct.

I must mention, that the true way to calculate the volume in this case would be:

V = Base area * height

V = (base + height / 2) * height

Suzi bought 5 packages of M&M's, and each package contained 18 candy pieces. She opened the first package and counted 4 green pieces. She then counted 3 green pieces in the second package. Which statement about the candy pieces in the remaining packages is best supported by this information? A. There are fewer than 14 green pieces in all 5 packages. B. There are between 15 and 20 green pieces in all 5 packages. C. There are at least 25 green pieces but no more than 50 in all 5 packages. D. There are more than 50 green pieces in all 5 packages.

Answers

Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages

Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."

The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.

So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.

nelson scores 27 out of 40 in a history test. workout his score as a percentage.​

Answers

Answer:

Step-by-step explanation:

25

Answer:

27             X

__    =      __

40           100

cross multiply divide. meaning 27*100 = 40*X. -> 2700 = 40*X. also meaning the answer is 2700 divided by 40 = X.

plug 2700/40 into a calculator. answer 67.5%

Step-by-step explanation:

At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hour​ (mph) and the standard deviation of the serve speeds was 10 mph.
Using the​ z-score approach for detecting​ outliers, which of the following serve speeds would represent outliers in the distribution of the​ player's serve​ speeds? ​
Speeds: 65 ​mph, 110 ​mph, and 120 mph.

Answers

Answer:

The speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 mph

Standard Deviation, σ = 10 mph

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

Outlier on basis of z-score:

Any z-score greater than 3 or less than -3 is considered to be an outlier. This rule of thumb is based on the empirical rule.

Calculation of z-score:

[tex]x = 65\Rightarrow z = \dfrac{65-100}{10} = -3.5\\\\x = 110\Rightarrow z = \dfrac{110-100}{10} = 1\\\\x = 120\Rightarrow z = \dfrac{120-100}{10} = 2[/tex]

Thus, the speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds as the corresponding z-score is less than -3.

Other Questions
On december 1, jonas jewelry wholesale center started with an inventory of 1,000 watches. shipments of 168, 231, and 411 were sent out on january 3, february 8, and march 7, respectively. receipts of 21, 145, and 11 were received on january 8, february 22, and march 18. find the number of watches on hand as of march 18. 1,732 424 367 1,633 Select the three word choices that indicate that SusanB. Anthony is using an angry tone.To them this government is not a democracy. It is not arepublic. It is an odious aristocracy; a hateful oligarchy ofsex; the most hateful aristocracy ever established on theface of the globe; an oligarchy of wealth, where the richgovern the poor ... which ordains all men sovereigns, allwomen subjects, carries dissension, discord, andrebellion into every home of the nation.-"On Women's Right to Vote,"Susan B. AnthonyEUROPEodiousoligarchyhatefuldemocracyrebellionFE= A simple random sample of 450 residents in the state of New York is taken to estimate the proportion of people who live within one mile of a hazardous waste site. If 135 of the residents in the sample live within one mile of a hazardous waste site, what are the values of the sample proportion of people who live within one mile of a hazardous waste site and its standard error?A. 0.3 and 0.01 B. 0.3 and 0.022 C. 0.3 and 0.21 D. 0.7 and 0.022 the image shows a mountain peak in Asia which force most likely created this mountain A compression B.gravity C.shearing D tension What did the Han gain from Zhang Qians journey?A.stronger relations with kingdoms in Central AsiaB.the secret of raising silkworms and making silkC.new territories in southern ChinaD.knowledge of the writings of Confucius All of the following led to westward expansion in Texas after the Civil War EXCEPT: a. the building of the railroad b. Native American relations c. the availability of cheap farmland d. the availability of surplus cattle and room for ranching A shoe store is for sale for $2,000,000. It is estimated that the restaurant will earn $200,000 a year for the next 11 years. At the end of 11 years, it is estimated that the restaurant will sell for $3,500,000. What would be most likely to occur if the investor's required rate of return is 15%? An average person produce 0.25 kg of moisture while taking a shower and 0.05 kg while bathing in a tub. Consider a family of four who each shower once a day in a bathroom that is not ventilated. Taking the heat of vaporization of water to be 2450 kJ/kg, determine the contribution of showers to the latent heat load of the air conditioner per day in summer? In need of help please help you will be rewarded points the first person who is correct and gives the answer will be marked as brainiestWhich of these BEST summarized the difference between the classification of a person as an immigrant and a refugee? A) An immigrant can only stay in a country for less than a year, while a refugee can stay forever. B) A refugee can enter the country without having to register with the government, while an immigrant must register with the government before entering. C) The term refugee is a legal classification given to a person who would rather live in a country other than that of their birth, while immigrant refers to a person who only relocated to a new country when all other options are taken. D) The term immigrant refers to any person who lives permanently in a country not of her/his birth, while refugee refers to a person who enters a country because she/he must flee their native land because of war, famine or other disaster. How much mass does the sun lose through nuclear fusion per second? Do you think that george f. Kennan was right in his assessment of the soviet union A real estate appraiser is developing a regression model to predict the market value of single family residential houses as a function of heated area, number of bedrooms, number of bathrooms, age of the house, and central heating (yes, no). The response variable in this model is _______. a. heated area b. number of bedrooms c. market value d. central heating e. residential houses Sam is baking cakes at her parents bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this week. Write an equation to show how many cakes Sam baked this week Does a dilation produce a congruent figure Daniel has read 60% of a book. He has 28 more pages to finish. How many pages are there in the book? There are nothing pages in the book. Ben and Kate had been negotiating Ben's employment contract in conversations over the phone for a couple of weeks.Finally, they agreed on some contract terms.Kate offered to create a draft of the contract for Ben to read over.On the same day Ben was fired from his job.Afraid he would be unemployed, Ben signed Kate's draft without reading it.In this example Ben:A)can avoid the contract because of mistake by failure to read.B)can avoid the contract because he was the victim of economic duress.C)cannot avoid the contract because of economic duress or failure to read.D)may rescind the contract because of unilateral mistake What are the steps used when performing CPR? Alejandro ha hecho 3 exmenes. El primero tena 8 preguntas, el segundo 9 y el tercero 12. Las preguntas correctas de cada uno de ellos han sido 7, 8 y 10, respectivamente. Si en cada examen todas las preguntas tenan la misma calificacin en cul de ellos ha obtenido un mejor resultado? As a result of a decrease in the value of the dollar in relation to other currencies, U.S. imports decrease and exports increase. Consequently, there is a(n): increase in aggregate demand. increase in short-run aggregate supply. decrease in the quantity of aggregate output supplied in the short run. decrease in the quantity of aggregate output demanded. Why did the United States rapidly spread from the east coast to the west coast