A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct the student’s error.

Answers

Answer 1

Answer:

[tex] -3 +2y \leq 4x[/tex]

[tex] 2y \leq 4x+3[/tex]

[tex] y \leq 2x + \frac{3}{2}[/tex]

And that's different from the claim of the student that:

[tex] y \geq 2x +\frac{3}{2}[/tex]

The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

[tex] -3 +2y \leq 4x[/tex]

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

[tex] 2y \leq 4x+3[/tex]

Now we can divide both sides of the inequality by 2 and we got:

[tex] y \leq 2x + \frac{3}{2}[/tex]

And that's different from the claim of the student that:

[tex] y \geq 2x +\frac{3}{2}[/tex]

The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1


Related Questions

Jamie was simplifying 2/3 divided 2 Which model best represents this expression?

Answers

step one: product of powers
step 2:power of powers
step 3: quotient of powers

Answer:

The first one?

Step-by-step explanation:

I have no idea. graphs are not one of my strong suits. This a guess. If I am wrong, I think it is the second one. I hope that this helps your situation.

what is 4^6 . 4^6 please help​

Answers

Answer:

4^12 or 16777216

Step-by-step explanation:

4^6* 4^6

We can symplify 4^6* 4^6

Since they both have the same base, we can add there exponent:

4^6* 4^6= 4^12

4^12 equals to 16777216

5/10 + 8/100= ?
13/100, 40/100, 58/100, 6/10

Answers

Answer:

58/100

Step-by-step explanation:

The first step is to make the two fractions have a common denominator. 5/10=50/100. Now you can add the two fractions together. 50/100+8/100=58/100. Hope this helps!

58 / 100 is the answer

The variables x and y are related proportionally. When x = 6, y = 16. Find y when x = 33.

Answers

Answer:

y=43

Step-by-step explanation:

y=x+10

y=33+10

y=43

To find the value of y when x=33, knowing that x and y are directly proportional, we first calculate the proportionality constant from the given values and apply it to find y=88 when x=33.

The task is to find the value of y when x is given, knowing that x and y are directly proportional. Thus, we first find the proportionality constant using the given values of x=6 and y=16. The formula for direct proportionality is y = kx, where k is the proportionality constant. Solving for k we get k = y/x => k = 16/6. Once we have the value of k, we can find y for x=33 by rearranging the formula to y = (16/6) * 33.

After performing the calculation, we find:

k = 16/6y when x=33 is y = (16/6) * 33

Therefore, y is 88 when x is 33, as they are directly proportional.

Which of the following is NOT a common factor of 18w and 30wz. *
Multiple choice.

3w
6
6wz
W

HELP ASAP PLZ.

Answers

Answer:

6wz

Step-by-step explanation:

z is not part of 18w, so it's not one of the factors for both 18w and 30wz

Final answer:

From the options provided, the factor '6wz' is not a common factor of 18w and 30wz because no such term exists in the factorization of the expression 18w.

Explanation:

The common factors of 18w and 30wz can be determined by breaking down each expression into its unique factors. For 18w, the factors are 2, 3, 3, and w. For 30wz, the factors are 2, 3, 5, w, and z. The common factors between the two expressions are 2, 3, and w.

From the options provided (3w, 6, 6wz, w) - we can see that 3w and w are indeed common factors of both 18w and 30wz. The number 6 is also a common factor as it can be achieved by multiplying 2 and 3, which are present in both expressions.

However, 6wz is not a common factor. Although the '6', 'w' and 'z' parts are contained within 18w and 30wz separately, the combination of '6wz' cannot be made using the factors of 18w since the term 'z' is not included in its factors.

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11.6 + x ≥ 4.8

A
x ≥ 6.8

B
x ≥ -6.8

C
x ≥ -7.8

D
x ≤ 7.8

Answers

Answer

The answer is B

Step-by-step explanation:

Its correct

Answer:

The answer is B.

Step-by-step explanation:

In order to solve x, you have to make x the subject by substracting 11.6 to both sides:

[tex]11.6 + x \geqslant 4.8[/tex]

[tex]11.6 + x - 11.6 \geqslant 4.8 - 11.6[/tex]

[tex]x \geqslant - 6.8[/tex]

Anyone know this? Please Help...

Answers

Answer:

Red

Step-by-step explanation:

1 and 7 are alternate exterior angles which are always Congruent

Answer:

I believe the answer is 'They are congruent and supplements to the angle measurement 115 degrees.

Step-by-step explanation:

They are congruent angels because they are the same angle and Supplement angles are angles which add up to 180.  

If is believed that the best angle angle to fly a kite is 45 degrees.
If you fly a kite at this angle and let out 225 feet of string.
approximately how high above the ground will the kite be?
1)200 feet
2)150 feet
3)250 feet
4)100 feet​

Answers

Answer:

2) 150 feet

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 45°

Opposite Leg = h (height)

Hypotenuse = 225

Step 2: Solve for h

Substitute [Sine]:                    sin45° = h/225Isolate h:                                 225sin45° = hRewrite:                                   h = 225sin45°Evaluate:                                 h = 159.099Round:                                     h ≈ 160 ft

Here we see that the closest value to 160 ft is 2) 150 feet.

Answer:

150

Step-by-step explanation:

Use the coding matrix shown below to encode the telephone number (555) 265-1431.
[3-37]
[- 13 5]

Answers

Final answer:

To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], match each digit with its corresponding code.

Explanation:

To encode the telephone number (555) 265-1431 using the coding matrix [3-37][- 13 5], we match each digit with its corresponding code. First, we look at the area code (555). The code for 5 is 13, so we write it as 13. The codes for 2, 6, and 1 are 3, -13, and 5 respectively, so we write them as 3, -13, and 5. Finally, for the remaining digits (2651431), we encode each digit using the coding matrix. The encoded telephone number is 13-3-7-13-3-5-1-3-5.

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PLEASE PLEASE PLEASE ANSWER ASAPPP !!! (20points)

Answers

Answer: [tex]-2x^2 + 10x-8[/tex]

Step-by-step explanation:

To find the product of the binomials, we first need to find the linear equations for the lines.

Using the rise over run method for f(x), we can see that the line rises 2 units for every 1 unit ran. 2/1 = 2, so we know the slope is 2, and we can see that the y-intercept on the graph is -2.

Equation: [tex]f(x) = 2x-2[/tex]

Using the rise over run method for g(x), we can see that the line rises -1 unit for every 1 unit ran. -1/1 = -1, so we know the slope is -1, and we can see that the y-intercept on the graph is 4.

Equation: [tex]g(x) = -x+4[/tex]

Multiplying the binomials:

[tex](2x-2)(-x+4)[/tex]

Use the FOIL method:

First: 2x * -x

Outside: 2x * 4

Inside: -2 * -x

Last: -2 * + 4

[tex]-2x^2+8x+2x-8\\\\-2x^2 + 10x-8[/tex]

ASAP. Which are potential sources of error in the experiment? Check all that apply. variable amounts of metal and magnetic properties of a material holding the compass at an angle the color of the bar magnet unseen magnetic fields (such as from an electrical appliance) the brand of light bulb used in the circuit using a dead battery in the circuit

Answers

Answer:

a, b, d, f

Step-by-step explanation:

1. E

2. D

3. G

4. E

5. N

6. U

7. I

8. T

9. Y

Answer:

abdf

Step-by-step explanation:

Michelle is a server in a restaurant . On a weekend night, Michelle earned $4 an hour and $65 in tips . She made a total of $93. Write and solve an equation to determine how many hours she worked ?

Answers

Here is a Good Equation: She made $93. $65 were tips. She also made $4 and hour. We can use any letter, I’ll use h, to represent hours. If she makes $4, we should write: 4h+65=93. Then, isolate the h term, by subtracting 65 from both sides. 95-63=32. 4h=32. Finally, divide by 4. We get rid of the four, and end up with h=8. 8 hours.
Final answer:

Michelle earned a total of $93 ($4 per hour and $65 in tips). By setting up and solving the equation 4h + 65 = 93, it is determined that h = 7, therefore, Michelle worked for 7 hours.

Explanation:

The subject of this question in Michelle's work earning. Michelle earns $4 per hour in addition to her tips. In total, she earned $93 on this specific night. To establish how long Michelle worked, we can create and solve an equation.

Firstly, we can determine that her total earnings ($93) are made up of her hourly wage and her tips. This can be written as:

4h + 65 = 93

Next, we will solve for h, which represents the number of hours Michelle worked:

Start by subtracting 65 from both sides of the equation: 4h = 93 - 65, which simplifies to 4h = 28.Then, divide both sides by 4 to isolate h: h = 28 / 4.This yields h = 7.

Therefore, Michelle worked for 7 hours on that evening.

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1. When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?


2.. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.


3.After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?


4.Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.

Answers

The ball costs $0.05 and the bat costs $1.05. We derived these amounts by setting up an equation based on the given information that the total cost is $1.10 and the bat costs $1 more than the ball, then solving for the ball's price.

To answer the classic problem about the cost of a bat and ball, let's denote the cost of the ball as 'x' dollars. Since the bat costs $1 more than the ball, the cost of the bat is 'x + $1.00'. The total cost is $1.10, and we know the sum of the bat and ball together is:

x + (x + $1.00) = $1.10

To find the value of x, solve the equation:

2x + $1.00 = $1.10

Subtract $1.00 from both sides to isolate the term with x:

2x = $0.10

Divide both sides by 2 to find the cost of one ball:

x = $0.05

So, the ball costs $0.05 and the bat costs $1.05 since it's $1.00 more expensive than the ball.

If f(x) = x2 – 2x, find:
f(0) = [? ]

Answers

Answer:

2

Step-by-step explanation:

Answer:

f(0) = 0

Step-by-step explanation:

2. A 48-foot rope is cut into three lengths. The second length of rope is twice the first
length. The third length of rope is one-fifth the first length. What is the third length?
8

Answers

Answer:

48/3.2=15

30

15

3

Got 3.2 from Second length is twice the third so we divide by 2 + 1 = 3

0.2 is from 1/5 = 0.2

3 is the third length

30 is second length and 15 is the first.

Step-by-step explanation:

Final answer:

The question relates to solving a simple algebraic equation. The first length of rope is identified as 15 feet. Consequently, the third piece, which is a fifth of the first length, is 3 feet.

Explanation:

We can solve this problem by first setting up an equation using the information given in the problem. Let's call the first length of rope x. Then according to the problem, the second length is twice the first length, or 2x, and the third length is one-fifth of the first length, or x/5. So, the total length of the rope is x + 2x + x/5 = 48.

First, we have to combine like terms on the left side to get 3x +(1/5)x equal to 48. If we multiply every term in the equation by 5 to clear out the fraction, we get 15x + x = 240. Combined, we have 16x equal to 240. Finally, we divide each side by 16 to solve for x. This gives us x equal to 15.

So, the third length, which is one-fifth of the first length, would be 15 divided by 5, which equals 3. Therefore, the third length of the rope is 3 feet.

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Which of the following statements is TRUE? a. If your original creditor (ex: credit card company) sells your debt to a collection agency, you no longer have to pay that debt -- it's been forgiven. bIf your original creditor (ex: credit card company) sells your debt to a collection agency, you are still required to pay off that debt. c. your original creditor (ex: credit card company) your debt to a collection agency, you have a grace period before you have to start making payments again. d. If your original creditor (ex: credit card company) sells your debt to a collection agency, the full debt becomes due immediately

Answers

Answer:

the answer is d

Step-by-step explanation:

i just know its fine.

Answer:b

Step-by-step explanation:

did anyone call you mami before

Answers

yes my bestfriend as a joke ahhaha

The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° about the origin. What are the vertices of the resulting image, Figure C’D’E’F’? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

-10, -8, -6, -4, -2, 2, 4, 6, 8,10

C’( ____ ), D’(._____), E’(.____ ), F’(_____)







Answers

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ), thus

C(6, 6 ) → C'(- 6, 6 )

D(6, 8 ) → D'(- 8, 6 )

E(8, 10 ) → E'(- 10, 8 )

F(10, 8 ) → F'(- 8, 10 )


Explain how leaders supported writers.​

Answers

Answer:

A lot of money was spent to support writers to create literature.

Step-by-step explanation:

A lot of money was spent to help

A circle has a diameter of 12 inches. What is its area in terms of π?


6 π

36π

12 π

8 π

those are the the answers whichone is it

Answers

Answer:

36π

Step-by-step explanation:

Since you have to use terms of pi you just leave out pi out of the formula

A = πr² so it would be

A = r²       Radius is half of diameter so half of 12 = 6

A = 6²

A = 36

Than you add pi

36π

Hope this helped


A row of tiny red beads is placed at the beginning and at the end of a 20-centimeter bookmark
A row of the same beads is also placed every 4 millimeters along the bookmark
How many rows of the beads are used on the bookmark?
Enter your answer in the box

Answers

Answer:

There are 50 beads on the bookmark.

Step-by-step explanation:

To know the number of rows of the beads are used on the bookmark, we just need to divide.

Notice that the bookmark is 20 centimeters long, and each bead is 4 milimiters. In order to divide, we need to transform centimeters to millimeters.

We know that 1 centimeter is 10 millimeters, that means 20 centimeters is 200 millimeters.

Then, the division is

[tex]\frac{200mm}{4mm} =50[/tex]

Therefore, there are 50 beads on the bookmark.

51 rows of beads are used on the bookmark.

To determine the number of rows of beads on the bookmark, we need to follow these steps:

 1. Convert the length of the bookmark from centimeters to millimeters to match the unit of measurement for the spacing between rows of beads. Since there are 10 millimeters in a centimeter, the bookmark is [tex]\( 20 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 200 \text{ mm} \)[/tex]  long.

2. Determine the distance between each row of beads. The problem states that there is a row of beads every 4 millimeters.

3. Calculate the number of intervals between the beads along the bookmark. To do this, divide the total length of the bookmark by the spacing between each row of beads: [tex]\( \frac{200 \text{ mm}}{4 \text{ mm/row}} = 50 \) intervals.[/tex]

4. Since we have an interval at each end of the bookmark where a row of beads is placed, we already have two rows of beads. For each interval between these end rows, there is an additional row of beads. Therefore, we have one more row of beads than the number of intervals.

5. Add one to the number of intervals to account for the starting row of beads: [tex]\( 50 \text{ intervals} + 1 = 51 \)[/tex] rows of beads.

Thus, there are 51 rows of beads used on the bookmark.

If we will chose two kings from the deck of 52 cards, in how many ways we can select three more cards from the same deck to have three of the same kind and two of another.

Answers

Answer:

192 total ways

Step-by-step explanation:

This time, we have already 2 selected kings, therefore we must find the remaining 3 cards.

There are two general ways to do this:

Case 1: you draw two of some other matching cards and another king

Case 1 - K + X + X where K is a King and X is some other card than a King. So there are 2 Ks to draw. Then there are 12 other cards that are not from the king, and since you get two of them it would be 2 taken from 4:

4C2 = 4! / (2! * (4-2)!) = 6

Therefore there are 6 different arrangements of the two.

So 2 * 12 * 6 = 144 total ways to do this.

Case 2: you draw three of some other matching cards

Case 2 - X + X + X where the Xs are all non-king cards. So 12 cards to choose from, and then calculate 3 taken from 4:

4C3 = 4! / (3! * (4-3)!) = 4

Therefore there are 4 different arrangements of the three. So 12 * 4 = 48 total ways to do this.

Which means that:

144 + 48 = 192

There are 192 total ways to get a full house when you start with two kings.

Please help with this and PLEASE show how you got the answers. Here is some background help down below.
#1 Use proportions to find the answer. Write the given ratio on the left, equal sign in the middle, and given number on the right then cross multiply and divide to find the missing value. Remember for #2 the higher ratio will be the greater decimal number.

Answers

Answer:

1. 75

2. Cornbits

Step-by-step explanation:

1. 12/100 = 9/x

  x = 75

2. Tasty Oats || 100/12 = 8.33g protein/gram cereal

   Cornbits || 45/5 = 9g protein/gram cereal

Answer:

1 is 75 grams of tasty oats

2 is tasty oats because 6 grams of protein for 50 grams of cereal and 5 grams of protein for 45 grams of cereal dor cornbits.

1. Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make them. He receives an order to make 7 guitars.If he makes the guitars at the same rate, how long will it take Mr. Holloway to make the guitars?
a=28
b=7
c=4
d=35
2. Solve for x : 4 x - 7 = 49
a=12
b=56
c=14
d=28
3. Michael ordered a chicken parm sandwich for $8, Xavier and Daniel both got a meatball sub for $7.75, and Tony got a veal parm for $9. Tony just got paid so he said the meal was on him as long as his friends took care of the tip. If they left an 18% tip how much would each of Tony's friends pay if they split it evenly?
a=$32.50
b=$5.85
c=$38.35
d=$1.95
4. Simplify: 5 * (10 * 6 + 9) - 9
a=345
b=336
c=291
d=741

Answers

Answer:

1) 28 weeks or A

2) 14 or c

Step-by-step explanation:

1) 8/2= 4

   4 multiplied by 7 = 28

answer is 28

2) 4x-7=49

        add 7 to both sides

    4x=49+7

     4x=56

         divide 56 by 4

    56/4=12

answer is 12

Answer:

28 weeks

Step-by-step explanation:

It takes Mr. Holloway 8 weeks to make 2 guitars. Write this as a rate.

8 weeks

2 guitars

Divide the numerator and denominator by 2 to find the unit rate.

8 weeks÷2

2 guitars÷2

=

4 weeks

1 guitar

It takes Mr. Halloway 4 weeks to make 1 guitar. You want to find how long it will take him to make 7 guitars. Write a proportion.

4 weeks

1 guitar

=

? weeks

7 guitars

Compare the denominators.

4 weeks

1guitar

=

? weeks

7guitars

To get from 1 to 7, multiply by 7. Multiply the numerator and denominator by 7 to find how long it will take Mr. Halloway to make 7 guitars.

4 weeks7

1 guitar7

=

28weeks

7 guitars

It will take Mr. Halloway 28 weeks to make 7 guitars.

PLEASE HELP ASAP

what is the slope of the line?

Answers

5 I think but not all the way sure

Answer:

-2/3

Step-by-step explanation:

To find the slope of a line, find the difference between two points. The distance between (3, 3) and (0, 5), for example, is x = 3 and y = -2. Since we are determining slope, y must be over x. Therefore, the final answer is -2/3.


1. Use the diagrams to compare the two sectors. Select the correct answer


A. Region A is larger

B. Region B is larger

C. Areas are the same for both

D. Not enough information

Answers

Answer:

B. Region B is larger

Step-by-step explanation:

its have a bigger area then A

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

Answer:

B is the correct asnwer! if i am wrong then c is correct

Step-by-step explanation:

what is the area of this triangle ?!

Answers

Answer:

35.

Step-by-step explanation:

To find the area, multiply the length and the width.

A = L x W

7 x 5 = 35

Answer:

The area of the rectangle is 35 therefor the triangle is 17.5

Step-by-step explanation:

Area of the rectangle is wl = 7 x 5 = 35

To find area of a triangle you divide by half

35 ÷ 2 = 17.5

If a student did not travel to a Spanish-speaking country, how many times more likely is it that the student did not take Spanish?

It is 22 times as likely.
It is 9 times as likely.
It is 4.5 times as likely.
It is 2.2 times as likely.

Answers

Answer:

It is 2.2 times as likely.

Tika purchased some fishing gear . She purchased a spinning combo rod and reel for $59.99 baits at $5.49 each, 3 lures for $3.89 each, and a landing net for $24.99. The sales tax rate is 7.0%. What is the total sales tax? What is the total purchase price?

Answers

Answer:

The tax is $ 7.15 and the total cost is 109.29

Step-by-step explanation:

Are the two triangles below similar?

Answers

Answer:

No. the b and c angle is 65 and the e and f angle is 85. different sizes.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

hope we can be friends

can i please get brainliest

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Which bone is part of the axial skeleton?ClavicleScapulaSacrumllium V= 3 x 5 x 4V = 3 + 5 + 4V= 5 x 4V = 3 x 5 The episome in an Hfr strain is inserted near the trp (tryptophan operon) locus. This Hfr strain is grown with an F- Trp- strain. From this mating, we isolate an F+ Trp+ strain that can readily impart the Trp+ phenotype to F- Trp- strains, but no other traits are ever transferred. (When the original Hfr strain is mated with F? strains, traits other than Trp+ can be transferred, although at lower frequency than Trp+.) What most likely has happened? Madison Corporation's production cycle starts in the Processing Department. The following information is available for April: Units Work-in-process, April 1 (25% complete) 40,000 Total units in process during April 280,000 Work-in-process, April 30 (60% complete) 25,000 Materials are added at the beginning of the process in the Processing Department. What are the equivalent units of production for the month of April, assuming Madison uses the weighted-average method Which of these is the best example of a sidebar that could be included in Years of Dust?an explanation of the Dust Bowl and the causes of dust stormsmore information about the Works Projects Administration during the 1930sa detailed description of the "Migrant Mother" photograph and what it showsa brief biography that describes Pare Lorentz's life and film career brainliest if u help pls :( Explaining how the cave was made, we learned some amazing facts from the guide. In at least 5 complete French sentences, answer the following questions.What are your favorite hobbies? What hobbies do you like to do during the summer? What about during the winter? Southern were destroyed during the war 1)Farms2)RailRoads 3)Cities4)All of the above5)Others Wild-type E. coli grow best at 37 but can grow efficiently up to 42 . An E. coli strain has a mutation of the sigma subunit that results in an RNA polymerase holoenzyme that is stable and transcribes at wild-type levels at 37 . The mutant holoenzyme is progressively destabilized as the temperature is raised, and it completely denatures and ceases to carry out transcription at 42 . Relative to wild-type growth, characterize the ability of the mutant strain to carry out transcription at: 37 degrees A. organism does not transcribe gene, B. organism transcribes slowly,C. organism transcribes a wild type, D. organism transcribes faster than a wild type What term best characterizes the type of mutation exhibited by the mutant bacterial strain? An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation2000.081 - 350 represents the situation, where t is the number of years the money has been invested. About how long has themoney been invested? Use a calculator and round your answer to the nearest whole number. Which sentence from a manual on building a bird feeder would most likely be found in the method section? Which opening sentence goes best with the details in the above paragraph? A. Recycling programs have become popular. B. Pollution from burning of fossil fuels causes acid rain. C. Canada is a land rich in mineral resources. D. The United States is rich in resources.People have often acted as though these resources were unlimited. In recent years, however, the people of the United States have started to understand that they must use their resources more wisely than in the past. Which of the following was one effect of European colonization in Mesoamerica? A. Native populations had to adopt new job skills because slavery was forbidden. B. New governments were created as native populations assumed political power. C. New cultures were created as the colonists intermarried with native populations. D. Native populations increased because the colonists improved their quality of life. Ted borrowed $100 from 2 years at a 10% interest rate. How much interest will he pay on the loan? What will be the total amount due at the end of the loan? Solve the system of equations : 2x -5y=-22X+7y=27 In Steve Jobs: The Man Who Thought Different why doesnt Steves biological mother want the Jobs to adopt him?They did not have a college education.She did not like the Jobs when she met them.They lived in a neighborhood she didnt approve of.She wanted to keep Steve and raise him by herself. Describe one process by which the metamorphic rock marble forms from the sedimentary rock limestone. * Do plants or animals adapt to their environment faster? Let Q be an acute angle such that tanQ=0.04. Use a calculator to approximate the measure of Q to the nearest tenth of a degree.mQ __ Steam Workshop Downloader