you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.

You Are In Charge Of Buying The Soda And Paper Plates For A Party. The Soda Costs $3 Per Case And The

Answers

Answer 1

The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.

What is the definition of inequality?

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

Soda costs =  $3 per case

Paper plates  = $4 per stac

The maximum amount of money you can spend  is $25

x = the number of cases of soda

y = the number of stacks of paper plates.

The inequalities that define the given conditions are;

[tex]4x+3y \leq25[/tex]

Hence, option A is correct.

To learn more about inequality, refer;

https://brainly.com/question/20383699

#SPJ1


Related Questions

algebra 2 pls help ill give brainliest

Answers

Answer:

Step-by-step explanation:

Factor the expression below.
36x² - 49
A. (6x + 7)(6x - 7)
B. (4x-7)(9x - 7)
C. (4x+7) (9x-7)
D. (6x-7)(6x-7)

Answers

Answer:

A. (6x + 7)(6x - 7)

Step-by-step explanation:

use difference of squares, which says a^2 - b^2 =(a+b)(a-b)

take the square roots of the two numbers, 6x and 7, and use them as a and b

Please find the area of the given picture. Please as fast as possible........​

Answers

Answer:

Area = 168 cm²

Step-by-step explanation:

**Please note that there is an error in the drawing of the given parallelogram.  In order for the parallelogram to have the given shape, the diagonal AC is actually 22.5 cm in length, whereas diagonal DB is 15 cm in length (see attached diagram). Therefore, I shall be using the attached diagram for my calculations.  However, please note that due of the properties of a parallelogram, the final answer will be the same, regardless of which diagonal is used.**

To calculate the area of a parallelogram, we would usually multiply the base by the perpendicular height.  As the perpendicular height is unknown in the given parallelogram, use the following formula:

[tex]\textsf{Area of parallelogram} = ab \sin (x)[/tex]

where:

a and b are the lengths of parallel sidesx is the included angle

As the diagonal of the parallelogram is given, use the cosine rule to calculate the measure of the included angle ∠DCB.

Cosine Rule (for finding angles)

  [tex]\sf \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

where:

C is the anglea and b are the sides adjacent the anglec is the side opposite the angle

From inspection of the given diagram:

C = ∠DCBa = DC = 13 cmb = CD = 14 cmc = DB = 15 cm

Substitute the given values into the cosine rule formula and solve for ∠ABC:

[tex]\implies \sf \cos(DCB)=\dfrac{13^2+14^2-15^2}{2(13)(14)}[/tex]

[tex]\implies \sf \cos(DCB)=\dfrac{140}{364}[/tex]

[tex]\implies \sf \cos(DCB)=\dfrac{5}{13}[/tex]

[tex]\implies \sf \angle DCB=67.38013505...^{\circ}[/tex]

Substitute the found angle and the length of the parallel sides into the area formula:

[tex]\begin{aligned}\textsf{Area of parallelogram} & = ab \sin (x)\\\\\implies \textsf{Area} & = \sf (13)(14) \sin (DCB)\\& = \sf (13)(14) \left(\dfrac{12}{13}\right)\\& = \sf 168\:\:cm^2\end{aligned}[/tex]

Therefore, the area of the given parallelogram is 168 cm².

find lim x->2 for f(x)=

{2x+1, x greater than or equal to 2

{x^2, x>2
a. 5
b. 4
c. 5 or 4
d. dne

Answers

LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)

What is the limit of a function ?

The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.

It is given that

lim x->2 for f(x)

[tex]\lim_{x \rightarrow 2^-}f(x) = \lim_{x\rightarrow 2^+}f(x)[/tex]

f(x) = 2x+1 x ≤2

f(x)= x² , x >2

When both the function tends to 2

Left Hand Limit

f(x) = 2 *2 +1

f(x) = 5

Right Hand Limit

f(x) = x² ,

f(x) = 4

LHL in not equal to RHL , Therefore the limit does not exists.

To know more about Limit of a Function

https://brainly.com/question/7446469

#SPJ1

Find the slope of the line that goes through (2, 8) and (5, 13).

Answers

Answer:

1 (2/3) or 1.66666667

Step-by-step explanation:

The slope of a line is found by using the equation :

y2 - y 1 / x2 - x1

So all we have to do is plug in our values given.

To find which belongs with which variable (such as x2 or y1), we do the following:

We know that the coordinates of a point are represented by (x, y). So we must assign a number to each points number.

(2, 8) will be x1 and y1.

(5, 13) will be x2 and y2

Plug in the values :

13 - 8 = 5

5 - 2 = 3

5 / 3 = 1 (2/3)

So, the slope of the line is 1.66666667 or 1 and (2/3)s

What is the range of the translated function? {y|y < 0} {y|y ≥ 0} {y|y is a natural number} {y|y is a real number}

Answers

The Range of the function is  {y|y is a real number} , Option D is the correct answer

What is Range ?

Range of a function is all the value a function can obtain.

From the figure it can be seen that the graph is moving slowly in either direction.

It extends from -∞ to +∞ ,

Therefore ,  {y|y is a real number} , Option D is the correct answer.

The complete question is

The graph shows a vertical translation of y = ³√x

What is the range of the translated function?

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

The image of the translated function is attached.

To know more about Range

https://brainly.com/question/17553524

#SPJ1

Hey can I have some help with this. Just the answer is fine

Answers

I believe the answer would be:
4.5

Step-by-step explanation:

4.500 mm³ → cm³

1 cm³ = 1.000 mm³

= 4.500 ÷ 1.000

= 4,5 cm³ IS THE ANSWER

Pedro's dining room is 5 metres wide and 6 metres long. pedro wants to install a new wood floor. it will cost $2.18 per square metre. how much will pedro's new floor cost?

Answers

Answer:

65.4

Step-by-step explanation:

5 × 6 = 30 square meter

30 × 2.18 = 65.4

Find the area of triangle DFG.
A. 5.3 square units
B. 34.3 square units
C. 420.0 square units
D. 424.2 square units

Answers

Answer:

34.3 square unit.

Step-by-step explanation:

[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]

Option B. 34.3 square units is correct!Explanation :

Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of DFG, here we will use heron's formula which is given by:

Area of = [s(s a) (s b) (s c)]

Here a, b, and c are sides of . We have;

b = FG = 7 unitsc = GD = 11 unitsa = DF = ?s = semi - perimeter = ?

So firstly lets calculate a i.e DF by using Pythagoras theorem on DEF:

➸ DF² = 8² + 6²

➸ DF² = (8 × 8) + (6 × 6)

➸ DF² = 64 + 36

➸ DF² = 100

➸ DF = √(100)

➸ DF = √(10 × 10)

DF = 10 units

Now, lets calculate s i.e semi - perimeter:

s = (a + b + c)/2s = (10 + 7 + 11)/2s = 28/2s = 14 units

Now, using heron's formula on DFG to calculate its area:

➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]

➸ Area(∆DFG) = √[14(4) (7) (3)

➸ Area(∆DFG) = √(14 × 4 × 7 × 3)

We can write it as;

➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)

➸ Area(∆DFG) = 2 × 7√(2 × 3)

➸ Area(∆DFG) = 14√(6)

➸ Area(∆DFG) = 14 × 2.449

➸ Area(∆DFG) = 34.28

➸ Area(∆DFG) = 34.3 square units (approx)

Hence, area of DFG is option B. 34.3 square units.

What is the number of possible combinations of 7 objects taken 4 at a time?
OA. 5,040
OB. 840
OC. 210
OD. 35

Answers

The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.

What is the combination?

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

The number of possible combinations of 7 objects taken 4 at a time.

so, the number of the combination is given as

[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]

More about the combination link is given below.

brainly.com/question/11732255

#SPJ1

Answer:

D. 35

Hope this helps!

Step-by-step explanation:

what will be the exponent of ten in quotient

Answers

Answer: 8

Step-by-step explanation:

We know that:

[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]

I need help please help me

Answers

Answer:

It's the third one

Step-by-step explanation:

The cube root of 1/1000 is 1/10.

The cube root of c^9 is c^3.

The cube root of d^12 id d^4.

When you are doing to roots of variables, just divide :)

9/3 = 3

12/3 = 4

Question 17 of 25
You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
3x-2y=7
3x+4y=17
Equation 1
Equation 2
OA. Subtract equation 2 from equation 1.
OB. Subtract the left side of equation 2 from the left side of equation
1.
OC. Multiply equation 1 by 2. Then add the new equation to equation 2.

Answers

Answer:

The only methods allowed are

-  "Subtract equation 2 from equation 1,"  and "Multiply equation 1 by 2. Then add the new equation to equation 2"

-

Step-by-step explanation:

Subtract Eq 2 from Eq 1:

3x-2y=7

-3x-4y=-17

-6y = -10

y = (5/3)

Use y =(5/3) to solve for x in both equations.

x=(31/9)

Subtract the left side of equation 2 from the left side of equation  No, this is not a legal operation.  

Multiply equation 1 by 2. Then add the new equation to equation 2  Yes, this works.  Instead of solving for y first, this method solves for x, which can then be used to find y:

2(3x-2y=7)

  6x-4y=14

  3x+4y=17    

   9x = 31    (y is eliminated)

x = (31/9)

Now use this to find y in either equation:

3x-2y=7

3x-2(31/9)=7

y = (5/3)

Carlos had at most 7 hours to spend in an amusement park in which he uses 1 hour for lunch and the rest of the time on park rides. What is the maximum number of rides Carlos can comete if each ride takes 15 minutes?

Answers

Answer:

24

Step-by-step explanation:

7 hours = 420 mins (7×60)

420-60=360 (time taken for lunch)

15mins=one ride

360÷15=24 rides

LCM of 18 , 25 , 35, 40 ,80 81 , and 72​

Answers

Answer:

the LCM of 18 25 40 80 81 and 72 is 226800

i hope this helps you

Step-by-step explanation:

by which method

prime factorization , division or defination method

PLEASE ANSWER ASAP!!!!!!
What is the component form of the vector represented by 2a when a⃗ =<−2,3>?

Enter the answer in the boxes.

2a= <__,__>

Answers

The complete question is

"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"

The Component form of the vector represented by 2a is (-4,6)

What is the component form of a vector?

The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.

Given, a=(-2,3)

By using scalar multiplication,

2a = (2(-2), 2(3))

2a = (-4,6).

Therefore the component form of 2a=(-4,6)

For more on vectors visit-

https://brainly.com/question/16810858

#SPJ1

B varies inversely with c. when b is 2, c is 8. find the value of c when b is 5.

Answers

Answer:

3.2

The value of C when B is 5 is 3.2

Step-by-step explanation:

3.2 is the value of c

lamy can paint 84 portraits in 6 weeks. at this rate , how many portraits can he paint in 2 weeks

Answers

Answer:

28 portraits

Step-by-step explanation:

Let's first figure out how many portraits Lamy can paint in 1 week, which is his unit rate. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.

In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is [tex]\frac{84 \text \: portraits}{6 \text \: weeks}[/tex] = 14 paintings per week.

Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a directly proportional relationship, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.

Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.

Hope this helps!


The mass of a box of bolts is 3/4 kg and the mass of a box of screws is 3/5 kg.
a Which box has the greater mass?
b Calculate the difference in mass between the 2 boxes.

Answers

Answer:

a) The mass of a box of bolts is greater.

b) 3/20 kg

Step-by-step explanation:

a) Firstly, you have to make the denominators of the two fractions the same (by finding the LCM of the denominators).

The LCM of 4 and 5 is 20.

Converting 3/4 into denominator 20:

[tex]\frac{3 * 5}{4 * 5}[/tex]

= 15/20

Converting 3/5 into denominator 20:

[tex]\frac{3 * 4}{5 * 4}[/tex]

= 12/20

Now comparing the numerators:

15 > 12

Hence,

3/4 > 3/5

b) Difference of the boxes can be done by subtracting the numbers with the same denominator:

15/20 - 12/20

= 3/20 kg

Hope this helps and feel free to give me brainliest! :)

which numbers belong to the solution set of the equation?
22x=902

Answers

Answer:

D. 41

Step-by-step explanation:

To solve, you have to clear "x" from the equation by dividing the other side of the equation by 22:

The only solution for 22x=901 is 41

Answer: x=41

Step-by-step explanation:

Hii!

Do you need to know the solution set of 22x=902? No problem! (:

We just need to divide both sides by 22 to solve for "x".

x=41; this equation has one solution only

--

Hope that this helped! Best wishes.

--

Which of the graphs below represents the equation 4x + y =7?

Answers

Answer:

Graph C

Step-by-step explanation:

Rearrange the terms so the equation is in slope-intercept form:
4x + y = 7
y = -4x + 7
The slope is -4, and the only graph that has a slope of -4 is graph C.

Does someone mind helping out with this ?


Answers

The answer is 4/5 + -1

Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

Part C: What observation can you make about the value of pi for circles A and B? (2 points)



I just need the equations and answer for each part please

Answers

The value of pi determined is same when used the circumference formula and the formula of area.

What is  Circle ?

A circle is a round shaped figure , whose all the point lie on same plane.

It is given that

The value of pi is about 3.14, and it is the same when using both the area and circumference.

The circumference is found by

Circumference = π * diameter

For circle A:

25.12 = π * 8

π = 3.14

For circle B:

9.42 = π * 3

π = 3.14

The area is given by

Area = π * diameter² / 4

For circle A:

50.24 = π * (8²)/4

π = 3.14

For circle B:

7.065 = π * (3²)/4

π = 3.14

The value of pi is about 3.14,

The value of pi determined is same when used the circumference formula and the formula of area.

To know more about Circle

https://brainly.com/question/11833983

#SPJ1

Which figures are polygons?
x
Figure A
Select each correct answer.
Figure B
O Figure A
O Figure B
O
Figure C
O
Figure D
Figure C
Figure D

Answers

Answer:

The answer is figure A, B, C, D.

Step-by-step explanation:

Because, polygon means a shape with more then 1 side, and in your pic all of the figures have more than one side, so that's the answer.

A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries. Choose a number between 80 and 96. This is the level of confidence you will use for this

Answers

The interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.

The complete question is

A survey conducted by Conquest Communications Group randomly sampled 700 registered voters in the U.S. 258 of the 700 sampled voters correctly answered that fourth graders in the U.S. are above average for overall education compared to other countries.

Choose a number between 80 and 96. This is the level of confidence you will use for this section of problems. What is your number?

With the confidence level you chose, construct that % confidence interval for the population proportion of voters that answered correctly that 4th graders in the U.S. are above average in overall education compared to other countries. What is the margin of error for this confidence interval?

What is Margin of Error ?

It is defined as the margin by which the values calculated will differ from the real values .

Let the chosen number is 95  %

95% Confidence Interval ,

[tex]\rm p = p \pm \dfrac{Z_{0.05}}{2} \sqrt \dfrac{p(1-p)}{n}}\\\\= \dfrac{258}{700} \pm 1.96 \sqrt \dfrac{\dfrac{258}{700}(1-\dfrac{258}{700})}{700}}\\[/tex]

Therefore p at 95% Confidence Interval is given by 0.3329 , 0.4043

The margin of error is given by  0.4043-0.3329

= 0.0357

Therefore the interval of probability at the confidence interval is 95% is 0.3329 , 0.4043 and the margin of error is 0.0357.

To know more about Margin of Error

https://brainly.com/question/10501147

#SPJ1


The graphs below are both absolute value functions. The equation of the red
graph is f(x) = xl. Which of these is the equation of the blue graph, g(x)?

a. g(x)=|x-2|
b.g(x)=|x+2|
c. g(x)=1/2|x|
d. g(x)=2|x|

Answers

Answer:

c

Step-by-step explanation:

Find a rational number between -1/3 and 1/2

Answers

Answer:

1/6

Step-by-step explanation:

Rational numbers between two rational numbers:

     First find the Least Common Denominator for 2 and 3Then find equivalent fractions with the LCD.

LCD of 2 and 3 = 6

[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]

[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]

Step 1: We know that Angle A B C Is-congruent-to Angle F G H because all right angles are congruent. Step 2: We know that Angle B A C Is-congruent-to Angle G F H because corresponding angles of parallel lines are congruent. Step 3: We know that Line segment B C is-congruent-to line segment G H because it is given. Step 4: Triangle A B C Is-congruent-to Triangle F G H because of the

Answers

Triangles FGH and ABC are congruent because of the: AAS congruence theorem.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.

In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.

Therefore, both triangles are congruent because of the AAS congruence theorem.

Learn more about the AAS congruence theorem on:

https://brainly.com/question/3168048

#SPJ1

Match each expression with its value 2,-9,-1, or undefined
G(-0.0001)
G(0)
G(0.0001)
G(9)

Answers

By looking at the graph of the piecewise function, we can see that:

G(-0.001) = -9G(0) = -1G(0.0001) = -1G(9) is not defined.

How to evaluate the piecewise function?

On the graph, we have a piecewise function, which we want to evaluate in some different values.

First we have x  = -0.0001

This value belongs to the interval (-5, 0), and by looking at the graph, you can see that the function on that interval is equal to -9, then:

G(-0.0001) = -9

x = 0

x = 0 belongs to the interval [0, 9). On that interval the function values -1. (x = 0 belongs to that interval because we have a closed dot). Then we conclude

G(0) = -1

x = 0.0001

This value also belongs to the interval  [0, 9)

Then G(0.0001) = -1

Finally, x = 9.

If you look at the domain of the function, you can see that there is an open dot at x = 9.

This means that x = 9 does not belong to that domain, so:

G(9) is not defined.

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ1

consider the series 1/4 1/16 1/64 1/256 which expression defines sn

Answers

This is a geometric progression

Common ratio=1/16÷1/4 =1/4first term =a=1/4

So

The general formUla is

[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]

[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]

Answer:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Step-by-step explanation:

Series: the sum of the elements of a sequence.

Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:

[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]

First determine if the sequence is arithmetic or geometric.

If it is an arithmetic sequence, there will be a common difference between consecutive terms.

if it is a geometric sequence, there will be a common ratio between consecutive terms.

From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Given:

[tex]a=\dfrac{1}{4}[/tex]

[tex]r=\dfrac{1}{4}[/tex]

Substitute the values of a and r into the formula:

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]

[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Therefore:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Other Questions
What is nuclear power Visios de lenguaje, me gustan esos antiojos There are 7 pieces of pie left over in the cafeteria l. If 5 pieces are apples and 2 are cherry, what fraction of the remaining pieces are cherry? Many criminals re-offend after they have been punished. Why do some people continue to commit crimes after they have been punished, and what measures can be taken to tackle this problem? answer it pls... T_T . A cup of water is warmed from 29 C to 97 C. What is the difference between these two temperatures, in kelvins Write an equation in point-slope form of the line that passes through the given point and with the given slope m(-9,2); m=6 CWhy do governments often regulate business in a capitalist society?Oto prevent the overproduction of productsOto guarantee the development of big businessOto prevent environmental problems and disastersOto guarantee employment for every worker The actual mass of a sheet of copy paper is 4.5 g. What must be the actual mass of a 1 cm plece of copy paper?Show your calculations. 10. I still remember the joys which I experienced in my childhood. what type of sentence is this What did the Brown v. Board of Education decision do? Which statement best summarizes the central idea of this paragraph? Examination malpractice dilutes sanctity and integrity of certificate By using a following distance greater than three seconds and allowing for additional clear distance ahead before passing, a driver can:________ a. increase field of vision. b. compensate for poor depth perception. c. improve visual acuity. d. concentrate on tunnel vision A. Point SourceB. Non-Point SourceThis would beconsidered whattype of waterpollution? What is the solution to 3(3x + 9) = 18?O x = -5O x = 5 or x=1O x = -5 or x = 1no solution The graphs below have the same shape. What is the equation of the red graph? g(x) = A. g(x)=2^x+3-2 B. 2^x-3-2 C. 2^x-2-3 D. g(x)=^x+2-3 A person buys a used car with a down payment of $1,200 and makes monthly payments of $275 for 3 years.What is the total amount of the person pays for the car?PLEASE EXPLAINA.$2,025B.$9,900C.11,100D.13,500 Which details does the author include to support the central idea about how her mother felt about the dictator? Select three options.doubly revoltedobsessionin exileisolatedcautionary tales which expression is in simplest form?