Question four need to know what I did wrong I need to do it I need to understand

Question Four Need To Know What I Did Wrong I Need To Do It I Need To Understand

Answers

Answer 1

If there are 189 children, then there are 189 divided 7 = 27 groups of 7 children.

As mentioned in the problem, for every 7 children, there are 2 caretakers therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.

So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.


Related Questions

A large group is ordering shirts for a company outing. The order will be based on how many employees sign up for a shirt.

The independent variable in this situation is the size of the order.

True

OR

False

Answers

Answer:

False

Step-by-step explanation:

The dependent variable changes, the size of the order will change depending on how many employes want a shirt.

Find the x-intercept of the line that passes through (-3,4) and is perpendicular to the graph of x-2y=7

Answers

Answer:

x - intercept = - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x - 2y = 7 ( subtract x from both sides )

- 2y = - x + 7 ( divide through by - 2 )

y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{7}{2}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2 , then

y = - 2x + c ← is the partial equation of the perpendicular line\to find c substitute (- 3, 4 ) into the partial equation

4 = 6 + c ⇒ c = 4 - 6 = - 2

y = - 2x - 2 ← equation of perpendicular line

to find the x- intercept let y = 0 into the equation and solve for x

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

the x- intercept of the perpendicular line is - 1 or (- 1, 0 )

please answer preferably with steps, but not necessary

Answers

Answer:

Step-by-step explanation:

(5n - 3)/2=n-0.3

Then we solve for n.

Multiply the whole thing by 2.

5n-3=2n-0.6

Add 0.6

5n-2.4=2n

Add 2.4

5n=2n+2.4

Subtract 2n

3n=2.4

Divide by 3

n=0.8

please help im begging ill give brainliest

Answers

Answer:

t=44 hrs.

Step-by-step explanation:

1. a. you are asked to find the total hours the 2 girls work in a week.

b. it needs to be a greater number than 26

2. variables: h= hours per week

t= total hrs.

3. h= hrs. per week

t= total hrs.

4. 44=26+h

-26 -26

18=h

5. 44=26+18

44=44

6. The total hours the two work in a week is 44 hours.

Write the equation of the line passing through
(−2, −5)
that is parallel to
3x + 5y = 11.

Answers

Answer:

y = (-3/5)x - (31/5)

Step-by-step explanation:

3x + 5y = 11

-3x              -3x

------------------------------

5y = -3x + 11

÷5    ÷5    ÷5

-----------------------

y = (-3/5)x + (11/5)

y - y₁ = m(x - x₁)

y - (-5) = (-3/5)(x -(-2))

y + 5 = (-3/5)(x + 2)

y + 5 = (-3/5)x - (6/5)

    -5                 -5

-----------------------------------

y = (-3/5)x - (31/5)

I hope this helps!

what are the domain and range of the function?

Answers

Answer:

B

Step-by-step explanation:

If we look at the x-axis, the function increases and decreases. Therefore, the domain is all real numbers.

If we look at the y-axis, the same is occurring. Therefore the range is also all real numbers.

3x-1/5=x+1/3 pls help me

Answers

Answer:

x=4/15

Step-by-step explanation:

first you need to make common denominators for 1/5 and 1/3

the common denominator is 15

5*3=15, 3*5=15. 1*3=3, 1*5=5

new equation:3x-3/15=x+5/15

now subtract x from both sides: 3x-3/15=x+5/15

                                                     -x          -x

                                                     2x-3/15=5/15

now you can add 3/15 to 5/15

2x=8/15

now for the last step, divide by 2 because there are 2 x's

2x/2=x         8/15 /2=4/15

x=4/15

Answer:

4/15

Step-by-step explanation:

3x-1/5 = x+1/3

make a common denominator

3x -3/15 = x + 5/15

next you can take away one x from both sides

2x - 3/15 = 5/15

then we want to have x alone on one side and everything else on the other

2x = 5/15 + 3/15

2x = 8/15

1x = 8/15 ÷ 2

1x = 8/30

simplify that

x = 4/15

use the picture shown solve for m

Answers

Answer: Provided the geometric diagram, we have to find the unknown angle DCF.

Assuming, that the line segments AC and EF are parallel and the same is true for the line segments DE and CB.

[tex]\begin{gathered} AC\text{ }||\text{ EF} \\ \\ \text{ and} \\ \\ DE\text{ \mid\mid }CB \end{gathered}[/tex]

The new diagram is:

Therefore the answer is:

[tex]m\angle DCF=61^{\circ}[/tex]

or 61 degrees.

Help me answer this.

Answers

iven:

here are givren the expression:

[tex](2z-y)^{20}[/tex]

xplanation:

o find the coefficient of the given expression, we need to use the binomial expansion formula:

So,

From the formula of binomial expansion:

[tex](x+y)^n=\sum_{k\mathop{=}0}^n(n,k)x^ky^{n-k}[/tex]

then,

After using the above formula in the given binomial, the expansion will be:

[tex](2z-y)^{20}=y^{20}-40y^{19}z+760y^{18}z^2-9120y^{17}z^3+77520y^{16}z^4-496128y^{15}z^5+...[/tex]

inal answer:

ence , the coefficient of the given term is shown below:

[tex]77520[/tex]

Kendall read 1 1/3 books in a 1/2day. At that rate how many books will she read in
1 day?

Answers

Answer:

Step-by-step explanation:

1/2 to 1 day is 2 1/2

11/3 x 11/3 = 121/9

13.4 books

Find the y intercept (if there is one) put your answer as a ordered pair.
(-2,6) (1,6)

Answers

The y-intercept of the line that passes through points (-2,6) and (1,6) in an ordered pair is ( 0,6 ).

What is the y-intercept of the line that passes through the given points?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

The slope of a line is expressed as change in y over change in x.

Slope m = (y₂-y₁)/(x₂-x₁)

Given the data in the question;

Point A ( -2,6 )

x₁ = -2y₁ = 6

Point B ( 1, 6 )

x₂ = 1y₂ = 6

First, we determine the slope of the line.

Slope m = (y₂-y₁)/(x₂-x₁)

Slope m = ( 6 - 6 )/( 1 - ( -2) )

Slope m = ( 0 )/( 1 + 2) )

Slope m = ( 0 )/3

Slope m = 0

Now, we can determine the y-intercept b, using the slope and coordinates of 1 point.

y = mx + b

6 = (0)(1) + b

Solve for b

6 = 0 + b

b = 6

Therefore, the coordinates of the y-intercept is ( 0,6 ).

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Select the correct equation and correct answer to solve for X using the triangle below.

Answers

The correct equation to solve for x is 2(2x-15)=2x-8 , and the value of x is 11 .

in the question ,

from the given figure , we can see that RL=LQ   and PK=KQ which means

that L and K are the mid points of sides RQ and PQ respectively .

The Mid Point Theorem states that

If the line segment adjoining the mid points of any of the sides of the triangle then the line segment is said to be parallel to the third  side and is half of the length of  third side .

which means LK parallel to RP and RP/2=LK  ( ... by mid point theorem)

Substituting the values of LK = 2x-15  and RP = 2x-8 .

(2x-8)/2=2x-15

Multiplying both sides by 2

2x-8 = 2(2x-15)

So, the equation to solve for x is 2(2x-15)=2x-8

Simplifying further

2x-8 = 4x-30

4x-2x= 30-8

2x = 22

x = 11

Therefore , the correct equation to solve for x is 2(2x-15)=2x-8 , and the value of x is 11 .

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solution a is 2% alcohol and solution b is 5% alcohol. she uses 800 milliliters of solution A how many milliliters of solution b does she use if the resulting mixture is a 3% alcohol situation

Answers

She uses 800 mL of solution A; that is, 2% of those 800 mL is alcohol

Alcohol on a:

2% of 800 = 2*800/100 = 16mL

If we use x mL of b, the amount of alcohol is:

5% of x = 5*x/100 = x / 20

Total amount of alcohol: 16 + x/20

Total amount of solution mixture: 800 + x

The ratio:

(16 + x/20) / (800 + x) = 3%

(16 + x/20) / (800 + x) = 3/100

1600 + 5x = 2400 + 3x

Solving for x:

5x - 3x = 2400 - 1600

2x = 800

x = 400 mL

She used 400 mL of solution b

25×10 to the power of -3 to standard form

Answers

The number 25×10 to the power of -3 written in the standard form is 2.5×10⁻⁴.

What is meant by the term scientific notations?Scientific notation is a way of displaying very large or extremely small numbers in a more simplified format. We know that whole numbers could be extended indefinitely, but such large numbers cannot be written on a sheet of paper. The scientific notation allows us to represent very large or very small numbers by multiplying single-digit numbers by 10 raised to a power of a respective exponent. If the number is so very large, the exponent is positive; otherwise, it is negative. For a better understanding, learn power and exponents.

The given number is;

25×10 to the power of -3

This can be written as;

= 25×10⁻³

Now, as per the standard form, the number should contain only one digit to the left of decimal.

Thus, shifting one decimal to the left of the 5 and converting the power by adding one to the current power,.

The number becomes;

= 2.5×10⁻⁴.

Thus, the number written in the standard form is 2.5×10⁻⁴.

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Slope intercept form for points through (0,4) and (-3,3)

Answers

Answer:

y = (1/3)x + 4

Step-by-step explanation:

(0, 4) and (-3, 3)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁           3 - 4           -1            1

m = ------------- = ------------ = --------- = --------

         x₂ - x₁          -3 - 0         -3           3

y - y₁ = m(x - x₁)

y - 4 = (1/3)(x - 0)

y - 4 = (1/3)x - 0

   +4            +4

----------------------------

y = (1/3)x + 4

I hope this helps!

Anyone know how to find the frequency for this?

Answers

The frequency of specific five classes (67, 68, 69, 70, and 71) will occur a total of 19 times.

What do we mean by frequency?The frequency of a given data value is the number of times it occurs.The frequency of a data value is represented by f.For instance, if five students received As in science, the frequency of grade A is said to be five.

So, the frequency for the particular 5 classes is as follows:

4 times in 67.6 times in 68.4 times in 69.4 times in 70. 1 time in 71.

The following five classes will appear most frequently overall:

4 + 6 + 4 + 4 + 1 = 19

Therefore, the frequency of specific five classes (67, 68, 69, 70, and 71) will occur a total of 19 times.

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Day 6: Textbook Page 321 Problem 9 When Esteban looks at the puddle, he sees a reflection of the top of the cactus. How tall is the cactus? use 10 m, 2.5 m, 1.5 m

Answers

The given figure can be drawn as,

From the figure,

[tex]\tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}}[/tex]

[tex]\begin{gathered} \tan \theta=\frac{DE}{EC} \\ \tan \theta=\frac{1.5}{2.5} \\ \tan \theta=0.6 \end{gathered}[/tex]

Since angle of incidence will be equal to angle of reflection, [tex]\begin{gathered} \text{tan}<\text{ACB}=\frac{h}{10\text{ m}} \\ \text{tan}\theta=\frac{h}{10\text{ m}} \\ 0.6=\frac{h}{10\text{ m}} \\ 6\text{ m=h} \end{gathered}[/tex]Therefore, the height of cactus is 6 m.

The table shows the number of insects in each group. What is the combined population of the four insect groups?



Insect Population
Honeybees
7
.
3498
×
10
4

Ants
6
.
822
×
10
3

Termites
9
.
8
×
10
5

Aphids
2
.
9502
×
10
4

Answers

1089822 is the combined population of the four insect groups.

What is exponents?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) signifies 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

Given Data

Insect population

Population of honeybees = 7.3498(10⁴)

Population of honeybees = 73498

Population of ants = 6.822(10³)

Population of ants = 6822

Population of termites = 9.8(10⁵)

Population of termites = 980000

Population of aphids = 2.9502(10⁴)

Population of aphids = 29502

Combined population = 73498 + 6822+980000+29502

Combined population = 1089822

1089822 is the combined population of the four insect groups.

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Olivia and Camille went clothes shopping. Camille spent $14 less than three
times what Olivia spent. In total, they spent $54. How much did each girl
spend?

Answers

By solving a system of equations we can see that Olivia spent $14 and Camiller spent $37.

How much did each girl spend?

Let's define two variables:

x = Amount that Olivia spends.y = Amount that Camille spends

We know that " Camille spent $14 less than three times what Olivia spent" so we can write:

y = 3*x - 14

And "In total, they spent $54"

x + y = 54

Then we have a system of equations:

y = 3*x - 14

x + y = 54

Replacing the first equation into the second one, we get:

x + 3x- 14 = 54

4x - 14 = 54

4x = 54 + 14

4x = 68

x = 68/4 = 17

Now that we know the value of x, we can try to find the value of y.

y = 3x - 14 = 3*17 - 14 = 37

So Olivia spent $14 and Camiller spent $37.

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Rewrite the expression 26 + 8 as the product of the GCF (greatest common factor) and a sum. Then, simplify the expression. Show all of your steps.

HELP ITS DUE TODAY

Answers

Answer:

34

Step-by-step explanation:

[tex]26+8 \\ \\ =2(13+4) \\ \\ =2(17) \\ \\ =34[/tex]

Simplify (4 ^4) ^−1.

4 ^3
−4 ^4
one over four raised to the fourth power
one over four raised to the power of negative four

Answers

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

How to simplify an expression?

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

[tex](a^{c} )^{b} = a^{cb}[/tex]

and

[tex](a^{-b} )^{c} = \frac{1}{a^{bc} }[/tex]

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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The fuel economies in miles per gallon (mpg) for nine vehicles are listed below. If one more vehicle is added to the list with a rate of 40 mpg, how will this affect the mean and median?

A. The mean and median will both increase.
B. The mean will increase and the median will decrease.
C. The mean will increase and the median will not change.
D. The mean will decrease and the median will not change.

Answers

Option C. The way that the change would affect the mean and the median is that The mean will increase and the median will not change.

How to solve for the mean and the median

We will find the mean and the median before the 40 was added and after it was added

Before it was added

Mean = 16 + 18 + 20 + 24 + 24 + 24 + 24 + 31 + 32 / 9

= 213 / 9

= 23.67

The median is 24

After we have added 40 the mean would be

16 + 18 + 20 + 24 + 24 + 24 + 24 + 31 + 32 + 40 / 10

= 253 / 10

= 25.3

The median would be 24 + 24 / 2

= 48 / 2

= 24

Hence we can see that the mean got to be higher while the median still remained as 24.

The solution is C.

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Can someone help me with this please and thank you

Answers

all the statements prove that a line is parallel to b.

WHAT ARE PARALLEL LINES ?

If two non-vertical lines in the same plane have the same slope, they are said to be parallel. Never will two parallel lines cross. If two non-vertical lines in the same plane cross at a right angle, they are said to be perpendicular.

CALCULATIONS

Lines can either be parallel or intersecting. When two lines meet at a point in a plane, they are known as intersecting lines. If a line intersects two or more lines at distinct points then it is known as a transversal line.

line intersects lines a and b at points P and Q respectively. The line l is the transversal here.

∠1,∠2,∠7 and ∠8 are the exterior angles and ∠3,∠4,∠5 and ∠6 denote the interior angles.

The angle pairs formed due to intersection by a transversal are named as follows:

Corresponding Angles: ∠1 and ∠6; ∠4 and ∠8; ∠2 and ∠5; ∠3 and ∠7 are the corresponding pair of angles.

Alternate Interior Angles: ∠4 and ∠5 ; ∠3 and ∠6 denote the pair of alternate interior angles.

Alternate Exterior Angles: ∠1 and ∠7; ∠2 and ∠8 are the alternate exterior angles.

Same side Interior Angles: ∠3 and ∠5; ∠4 and ∠6 denote the interior angles on the same side of the transversal or co-interior or consecutive interior angles.

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A passenger car will go 310 miles on 15.5 gallons of gasoline in city driving. What is the rate in miles per gallon?
The rate is
mpg.
(Simplify your answer.)

Answers

Answer:

20 mpg

Step-by-step explanation:

Given:

A passenger car will go 310 miles on 15.5 gallons of gasoline in city driving. What is the rate in miles per gallon?

Solve:

To find the rate in miles per gallon we have to divide.

Knowing that "Per" means "Each/One"

Hence, to find miles per gallon we divide :

Miles by Gallons

⇒ 310/15.5

Solving using long division format: ( Multiply both by 10 first)

[tex]155\overline{|\smallspace3100}\:\:\:\:[/tex]

Divide 310 by 155 to get 2:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 155\overline{|\smallspace3100}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

Divide 0 by 15.5 to get 0.

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 155\overline{|\smallspace3100}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

Hence, the rate is 20 mpg.

~kavinsky

how do I solve this
1/9 = z/23

Answers

Answer: z=23/9

Step-by-step explanation:

I will use cross multiplication

[tex]\frac{1}{9} =\frac{z}{23} \\23(1)=9(z)\\23=9z\\\frac{23}{9} =\frac{9z}{9} \\z=\frac{23}{9}[/tex]

I hope this helps.

BenchenIf these two lines were graphed, where would they intersect? Drag the point to theirintersection's coordinates.y = x - 3y = -X- 1

Answers

y = x - 3

y = - x -1

They intersect at

Describe the transformation that maps the pre-image A to the image A.translated 8 units up and then reflected across the y-axisB)translated 8 units down and then reflected across the y-axisC)translated 1 unit to left and then rotated 180° counterclockwise about theoriginD)translated 1 unit to right and then rotated 180° counterclockwise about theorigin

Answers

Answer:

C. translated 1 unit to left and then rotated 180° counterclockwise about the

origin

Explanation:

In the graph:

• The vertices of Figure A are: (0,4), (-9,3) and (-9,6)

,

• The vertices of Figure A' are: (1,-4), (10,-3) and (10,-6)

If Figure A is translated 1 unit to the left, the vertices are:

[tex](-1,4),(-10,3),(-10,6)[/tex]

Next, a rotation of 180° counterclockwise about the origin gives:

[tex](1,-4),(10,-3),(10,-6)[/tex]

These are the vertices of Figure A'.

Thus, the correct transformation is: translated 1 unit to left and then rotated 180° counterclockwise about the origin.

The correct choice is C.

A constant force is applied to an object, causing the object to accelerate at 12.50 m/s/s. What will the acceleration be if both the force and the
mass are doubled? Round to two decimal places and use SI units.

Answers

It doesn’t give the other shape the measurements. What grade level are you?

Answer:

a₂ = 12.5 m/s²

Step-by-step explanation:

Applying the 2º Newton's Law:

F = m * a

F₁ = m₁ * a₁

F₁ = m₁ * 12.5

F₁ = 12.5m₁

F₂ = m₂ * a₂

2F₁ = 2m₁ * a₂

a₂ = F₁ / m₁

So:

a₂ = 12.5m₁ / m₁

a₂ = 12.5 m/s²

Can someone help me with this please and thank you!

Answers

Answer: b

Step-by-step explanation:

A spinner with 10 equally sized slices has 5 red slices , and 3 yellow slices, and 2 blue slices. The dial 500 times and got the following results. What is the probability that the dial stops on a red or yellow slice?

Answers

Part a

The experimental probability that landing on red is equal to

P=277/500

P=0.554

Part b

The theoretical probability that landing on red is equal to

P=5/10

P=0.5

Part c

the answer is the first option

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Contrary to what freud believed, its possible to change recurrent nightmares with psychotherapy. __________ combats nightmares by rehearsing a new, more positive dream at different times during the day. calculate the force exerted between two charged objects seperated by a distance of 0.6 m. one object has a charge of -5 C and the other has a charge of +2.0 C someone please help I'll mark as brainliest the correct answer Each box holds 48 pencils. The chart below shows the number of pencils in 1 box and 5 boxes. all purchase/sale transactions are made on credit. the company uses the fifo method and perpetual inventory system to record transactions. what is the amount of lifo adjustment needed to adjust fifo inventory records reported for the year to lifo for external reporting purposes? The author includes information about earthen structures first. Why does the author choose to provide information about timber next?Ato show that various materials were used to make buildings in different regions of the worldBto show that mud was a better material to use for building than timberCto illustrate that wood and steel are much better materials than mudDto illustrate that longhouses were useful structures in snowy and rainy locations I need help with this please Select the correct answer. michael is the captain of his schools soccer team. what skill does michael exhibit when he decides which player will take the penalty kick? a. conflict resolution b. sportsmanship c. leadership d. teamwork Recalling a significant dream you've had, write a one- to two-paragraph description of the dream, detailing specific events. Then, write a four-paragraph interpretation of your dream. As you hurry to catch your flight at the local airport, you encounter a moving walkway that is 90 m long and has a speed of 2.1 m/s relative to the ground.If it takes you 70 s to cover 90 m when walking on the ground, how long will it take you to cover the same distance on the walkway? Assume that you walk with the same speed on the walkway as you do on the ground. Combustion of 1.00 102 mg of caffeic acid yields 220 mg of CO2 and 40.3 mg of H2O. Complete the following table about metric units South Carolina threatened to secede in 1832 in response to what event? Would you classify 121 as a perfect square, perfect cube, both, or neither?Choose the correct answer below.O A. The number is a perfect square because = 121.OB. The number is a perfect cube because= 121OC. The number is both a perfect square and a perfect cube because= 121 and= 121OD. The number is neither a perfect square nor a perfect cube because there is no integer thatcan be squared to get 121 and no integer that can be cubed to get 121. consider an economy that produces only smartphones and laptops. last year, 10 smartphones were sold at $800 each, and 5 laptops were sold at $1,000 each, while this year, 15 smartphones were sold at $900 each, and 10 laptops were sold at $1,100 each. real gdp this year, using last year as a base year, is: The decimal 105.7 becomes 1,057 when multiplied by 10. The same number becomes 10.57 when multiplied by 0.10. Explain why.-Multiplying by 10 makes the number(Type whole numbers or decimals.)by a factor of Multiplying by 0.10 makes the numberby a factor of if the gradient of a line is 3, what is the gradient of the line which is perpendicular to A The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is 78 ft2. Find the length and width of the rectangular batter's box. Find the slope from the graph:Question 4 options:-1/31/311/92/3 16. Fill in the left side of the two-column proof (4 points).Given:32 = 2x + 4y; x = 2y = 7Prove:32 = 2x + 4y; x = 2GivenSubstitution PropertySubtraction Property of EqualityDivision Property of EqualitySymmetric Property of Equality