nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours

Answers

Answer 1

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours

⇒[tex]h + (h + 3.5) = 18[/tex]

[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours


Related Questions

What’s is .665 as a fraction

Answers

Answer:665/1000

Step-by-step explanation:

Writing from 0.665 (decimal) to a fraction, the answer will be 665/1000, but you can simplify this fraction into 133/200 simplified.

Hope this helped!

Nate

Simplify each expression. Justify each step.


4(x + 9) + 5x

Answers

Answer:

9x+36

Step-by-step explanation:

4(x+9)+5x

distribute the 4

4x+36+5x

combine like terms

9x+36

The sum of three numbers is 79 . The third number is 2 times the second. The first number is 5 less than the second. What are the numbers?

Answers

Answer:

first = 21 - 5 = 16

second  = 21

Third = 21*2 = 42

Step-by-step explanation:

first + second + third = 79

Let the second number = x

third = 2*x

first = x - 5

So we get

x - 5 + x + 2x = 79

4x - 5 = 79                  Add 5

4x - 5 + 5 = 79 + 5     Combine

4x= 84                         Divide by 4

4x/4 = 84/4

x = 21

Final answer:

Using algebraic methods, the three numbers are determined to be 16, 21, and 42. The values are obtained by setting up an equation based on the given relationships and solving for the variable.

Explanation:

We are tasked with determining the values of three numbers where the sum is 79, the third number is twice the second, and the first number is 5 less than the second. Let's define the second number as x. Therefore, the third number would be 2x and the first number would be x - 5. Setting up the equation based on these relationships, we have:

(x - 5) + x + (2x) = 79

Combining like terms, we get:

4x - 5 = 79

Adding 5 to both sides to isolate the variable, we find:

4x = 84

Dividing by 4 gives us:

x = 21

Now we can find the first and third numbers:

First number: x - 5 = 21 - 5 = 16

Second number: x = 21

Third number: 2x = 2(21) = 42

The numbers are 16, 21, and 42.

1x -1y =100 x. what is the answer​

Answers

Answer:

y=-99x

Step-by-step explanation:

it's imposible to answer y in terms of a number, but it is possible to do it in terms of x.

x-y=100x

x=100x+y

-99x=y

y=-99x

1.Write an addition problem that has a sum of −4 3/5 and the two

2. Write an addition problem that has a sum of -4 3/5 and the addends have DIFFERENT signs

3. In the Integer Game, what card would you need to draw to get a score of 0 if you have a −16, −35, and 18 in your hand?

Answers

Answer:

1. -6 3/5 + 2 = -4 3/5

2. -9 3/5 + 5 = -4 3/5

3. 33

Hope it helps

The answer to the addition problems are as follows;

-5 3/5 + 1 = -4 3/5-6 3/5 + 2 = -4 3/5The card that needs to be drawn to get a score of 0 if you have -16, -35, and 18 is;. 33

For the first question;

An addition problem that has a sum of -4 3/5 may take different forms one of which is the answer supplied where; -5 3/5 is added to 1 and the result is; -4 3/5.

Fir the second question;

It is required that the addends have different sign.

Therefore, since -4 3/5 has a negative sign, it is required that the greater number be with the negative sign as in the answer supplied where;-6 3/5 + 2 = -4 3/5.

Fir the third question;

It is required that the player gets a total score of 0.

As such, let the card to be drawn be represented as x;

x -16 -35 +18 = 0

Therefore, x = 51 -18

x = 33

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Answers

Answer:

C (12+1/2) hours

Step-by-step explanation:

The picture represents the number of hours she spend watching tv for 2 weeks.

One day she watched for 0 hours.

One day she watched for 1/4 hours.

One day she watched for 1/2 hours.

Three days she watched for 3/4 hours.

Three days she watched for 1 hours.

Four days she watched for (1+1/4) hours.

One day she watched for (1+1/2) hours.

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

So for those two weeks (those 14 days) she watched

0+1/4+1/2+3(3/4)+3(1)+4(1+1/4)+1(1+1/2)

1/4+1/2+9/4+3+[4+1]+[1+1/2]

(1/2+1/2)+(3+4+1+1)+(1/4+9/4)

(1)+(9)+(10/4)

(1+9)+(5/2)

(10)+(5/2)

(20/2)+(5/2)

25/2

(12+1/2)

how did you slove the problem and what's the answer​

Answers

Answer:  b) 2x² - 5x - 3

Step-by-step explanation:

Distribute each term in the first parenthesis into the second term and then add like terms.

  (2x + 1)(x - 3)

= 2x(x - 3)    +   1(x - 3)

= 2x² - 6x    +    x - 3

= 2x²        - 5x      - 3

Solve the equation.

|x-1|+5=2

Answers

Answer:

No answer is applicable for this question

Step-by-step explanation:

Start off by moving the singular numbers to one side. This can be done by subtracting 5 from both sides. Then you are left with |x-1|=-3.

After reaching this point, you must know what whatever number, negative or not, within the lines will always come out to be positive. If those lines were not there, the answer would be -2. But if -2 was inserted at this point, you would find yourself with the answer of 3=-3. Hope this helps, comment a question below if you do not understand

The solution of the given equation is -2.

The given equation is |x-1|+5=2.

We need to solve the given equation.

How to solve an absolute value equation?

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Now, |x-1|=2-5

⇒|x-1|=-3

⇒x-1=-3

⇒x=-2

Therefore, the solution of the given equation is -2.

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You roll a number cube numbered from 1 to 6. What is the probability of not choosing 3?
P(not 3)

Answers

Answer: 5/6

Step-by-step explanation: if you were to say the probability would be choosing 3 then it would be 1/6 because you have 1 chance of choosing 3 and 5 others of choosing anything else but 3 this applies for the same thing your asking just opposite sides

Which is the best estimate of the correlation coefficient for the scatter plot?

Answers

Answer:

The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

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Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

The best way to estimate the value of correlation coefficient from scatter plot is draw a straight line such that the distance between the straight line and scatter point is minimum.

If the direction of straight line is towards top right then value of correlation coefficient is positive otherwise if direction of straight line is towards bottom right then value of correlation coefficient is negative.

And, if straight line is nearly horizontal then value of correlation coefficient is nearly 0.5 or -0.5.

Thus, we have only two possible values of correlation coefficient which is 1 or 0.9

Also, here we see that as the value of x is increasing the value of y is also increasing but it is comparatively less than the increase of x.(See the scatter points (3, 2), (8, 6) and (2.1, 1.9)). If both rate of change is constant then value of correlation coefficient is 1.

Hence, value of correlation coefficient is 0.9

What is the product of 9 and the quantity 5 more than a number t is less than 6 written as and equation or an inequality

Answers

Answer:

The inequality  is 9(t+5) < 6

Step-by-step explanation:

Let

t -----> the number

we know that

The phase "5 more than a number t" is equal to adds the number t and 5

(t+5)

The phase "the product of 9 and the quantity 5 more than a number t" is equal to multiply 9 by (t+5)

9(t+5)

less ----> represent the symbol "<"

therefore

The inequality that represent this problem is

9(t+5) < 6

Solve the following equation. Then place the correct number in the box provided.
3x=12

Answers

Direct response:

3x = 12

x = 12/3

x = 4

Answer explained step by step:

We have to 3x = 12

What we will do is clear the variable or unknown "x"

- What is multiplying "3 × x" we will divide:

x = 12/3

- We simplify...

x = 4

Suzanne was baking treats for her bakery's grand opening. She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies. Of the following ratios, which one does not illustrate a comparison from the items created in Suzanne's bakery?
A) 1:9 to signify cakes to cookies
B) 1:18 to signify pies to cookies
C) 2:1 to signify cakes to pies
D) 2:4 to signify cakes to pies

Answers

D because there are 4 cakes to 2 pies not the other way round

The ratio that does not illustrate a comparison from the items created in Suzanne's bakery is option D) 2:4 to signify cakes to pies.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Suzanne was baking treats for her bakery's grand opening.

Since, She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies.

Option A) 1:9 signifies a comparison of the number of cakes to the number of cookies.

Option B) 1:18 signifies a comparison of the number of pies to the number of cookies.

Option C) 2:1 signifies a comparison of the number of cakes to the number of pies.

However, option D) 2:4 does not illustrate a comparison between any of the items created in Suzanne's bakery.

This is because there are no given ratios for the number of cakes to the number of pies, or the number of cakes to the number of cakes plus pies.

Therefore, option D) is the correct answer.

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If the sides of a square are increased by 3m, the area becomes 64 m. Find the lenght of a side of the original square

Answers

Final answer:

To find the side length of the original square, we formed a quadratic equation based on the given information and solved it to get a side length of 5 meters.

Explanation:

The question asks us to find the length of a side of the original square when the sides are increased by 3 meters and the new area becomes 64 square meters. First, let's denote the side length of the original square as x. If each side of the square is increased by 3 meters, then the new side length is x + 3 meters. The area of the new square is given to be 64 m², which can be represented as the square of the new side length, so the equation becomes:

(x + 3)²= 64

This simplifies to:

x² + 6x + 9 = 64

Subtracting 64 from both sides:

x² + 6x - 55 = 0

This is a quadratic equation that we can solve by factoring or using the quadratic formula. In this case, the equation factors to:

(x + 11)(x - 5) = 0

This gives us two possible solutions for x: -11 or 5. Since a side length cannot be negative, we disregard the -11 and conclude that the side length of the original square is 5 meters.

Which of the following equations have no solutions? Choose all answers that apply: Choose all answers that apply: (Choice A) A 14x-23=14x-2314x−23=14x−2314, x, minus, 23, equals, 14, x, minus, 23 (Choice B) B -23x-14=14x-23−23x−14=14x−23minus, 23, x, minus, 14, equals, 14, x, minus, 23 (Choice C) C 14x+23=14x-2314x+23=14x−2314, x, plus, 23, equals, 14, x, minus, 23 (Choice D) D -14x+23=14x-23−14x+23=14x−23

Answers

Answer:

The Correct answer:

CORRECT (SELECTED)

14x+23=14x-23

Step-by-step explanation:

Final answer:

We are given four equations and are asked to identify which has no solutions. By isolating the variable 'x' in each equation, we can see that the only equation without a solution is Choice C: 14x+23=14x-23 because it results in an incorrect statement.

Explanation:

The subject of this question is about identifying which equations have no solutions. To find the solution of an equation, you need to isolate the variable, here, it is 'x'. Let's evaluate the provided choices:

Choice A: 14x-23=14x-23. In this case, both sides of the equation are identical, suggesting that there is an infinite number of solutions - any value of x will make the equation correct.Choice B: -23x-14=14x-23. We can rearrange this equation to form 37x = 9, which implies x=9/37, thus this equation has a solution.Choice C: 14x+23=14x-23. When we try to isolate x, we will get 23 = -23 which is an incorrect statement. Therefore, this equation has no solutions.Choice D: -14x+23=14x-23. If we rearrange this equation, we get 28x = 46, which got x=46/28 or x=23/14, thus, this equation has a solution.

Thus, only equation Choice C: 14x+23=14x-23 has no solutions.

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3 is to 15 as 4 is to

Answers

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Please help me????? One math question 20 pts...

Answers

Answer:

first one. Just simply calculate it :/

it takes 2/3 of an hour to paint 2/5 of a room, how long does it take to paint one room

Answers

Answer:

5/3 hours

Step-by-step explanation:

2/3 hour = 40 minutes

You can solve it by proportion:

40 minutes = 2/5 room

x minutes = 1 room

[tex]x=\frac{40}{\frac{2}{5} }[/tex]

100 minutes = 5/3 hours

Answer: 1 hour 40 minute

Step-by-step explanation:

If it take 2/3 of an hour to paint 2/5 of a room

1Hour = 60min

2/3 of 60min

2/3 × 60min

=120min / 3

= 40min

That is it take 40min to paint 2/5 of a room

So using proportion

2/5 room = 40min

1room = X min

We cross multiply

2/5 × X = 40min

2X / 5 = 40min

We cross multiply again

2X = 200min

Divide bothside by 2

x = 100 min

But 1hour =60min

Therefore 100min = 1 hour 40min.

PLEASE ANSWER ME BEFORE 7:30 AM PST YOU WILL GET MAX POINTS!!!

Answers

Answer:

a) Value T's and More

b) y = 8x

c) 8; cost per t-shirt

d) $25

e) Value T's and More for orders of fewer than 25 t-shirts.
    Print-o-Rama for larger orders of more than 25 t-shirts.

Step-by-step explanation:

We are given that Allison’s middle school team has designed t-shirts featuring their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate of the total cost of purchasing the t-shirts.

Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered (show in the given table). Value T’s and More charges $8 per shirt (shown in the given graph).

[tex]\dotfill[/tex]

Part a

A proportional relationship is a linear relationship between two variables where the ratio of one variable to the other is constant, and the graph of this relationship passes through the origin (0, 0).

Value T's and More represents a proportional relationship because the cost per t-shirt is constant at $8, and the graph modelling the data for this company passes through the origin (0, 0), meaning that when no t-shirts are purchased, the cost is $0.

Print-o-Rama does not represent a proportional relationship because although they charge a fixed amount per t-shirt, there is an additional set-up fee. This makes the cost function in the form y = mx + b (where b is the set-up fee), resulting in a graph that does not pass through the origin (0, 0).

[tex]\dotfill[/tex]

Part b

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Since the cost per t-shirt at Value T's and More is constant at $8, the constant of proportionally is k = 8, so the equation relating cost (y) and shirts (x) for Value T's and More is y = 8x.

[tex]\dotfill[/tex]

Part c

As discussed in part b, the constant of proportionality for ValueT's and More is 8. This represents the cost per t-shirt (in dollars).

[tex]\dotfill[/tex]

Part d

To find the set-up fee, let's use the given points (10, 95) and (50, 375) for Print-o-Rama and assume the cost model is y = mx + b, where m is the cost per shirt, and b is the set-up fee.

Substitute both points into y = mx + b to set up two equations:

[tex]95=10m + b\\\\375=50m+b[/tex]

Subtract the first equation from the second equation to eliminate b, then solve for m:

[tex]375-95=(50m+b)-(10m+b) \\\\280=40m\\\\m=7[/tex]

This means that the cost per t-shirt is $7.

Substitute m = 7 back into one of the equations and solve for b. Let's use 95 = 10m + b:

[tex]95 = 10(7) + b \\\\95=70+b\\\\b=95-70\\\\b=25[/tex]

Therefore, the set-up fee for Print-o-Rama is $25.

[tex]\dotfill[/tex]

Part e

To determine the most cost-effective supplier, we need to equate the cost equations of Value T's and More and Print-o-Rama to identify the exact number of t-shirts at which the costs for both companies are equal:

[tex]8x=7x+25\\\\8x-7x=25\\\\x=25[/tex]

Solving 8x = 7x + 25 for x gives us x = 25, meaning that for an order of 25 t-shirts, the total cost from both suppliers is the same. For orders of fewer than 25 t-shirts, Value T's and More is cheaper, but for orders of more than 25 t-shirts, Print-o-Rama is more cost-effective due to its lower per-shirt cost despite the set-up fee.

Therefore, after analysing the pricing models of both Value T’s and More and Print-o-Rama, it is recommended to use:

Value T's and More for orders of fewer than 25 t-shirts.Print-o-Rama for larger orders of more than 25 t-shirts.

a. The graph shows a proportional relationship

b. The proportional equation is  y = 8k

c. The constant of proportionality is 8

d. Print-o-Rama's set up fee is 25

a. A linear graph that intercepts the origin has a proportional relationship.

b. The equation is written in the form y = kx, using point (10, 80)

80 = 10k

k = 8

The equation is written as y = 8k

c. The constant of proportionality is k which is equal to 8

d. The set up fee is the y-intercept (b). The equation is written in the form y = mx + b

m = (375 - 95) / (50 - 10)

m = 280 / 40

m = 7

Using point slope formula

y - 95 = 7 (x - 10)

y = 7x - 70 + 95

y = 7x + 25

The y-intercept, b is 25

which of the following is the solution to the equation 16 equals 4x - 4​

Answers

The answer is going to be x=5

a rectangle has a length of 15x and a width of 2x^3+4-2x^2. Find the perimeter of the rectangle when the length is 5 feet

Answers

Answer:

The perimeter of the rectangle is 17.70 feet

Step-by-step explanation:

- The perimeter of a rectangle is → P = 2l + 2w → where l is its length

  and w is its width

- A rectangle has a length 15x and a width 2x³ + 4 - 2x²

- We need to find its perimeter when its length is 5 feet

∵ The length of the rectangle is 15x

∵ The length of the rectangle is 5 feet

- Equate the length's expressions

∴ 15x = 5

- Divide both sides by 15

∴ [tex]x=\frac{1}{3}[/tex]

- Now lets find the width of the rectangle

∵ The width of the rectangle = 2x³ + 4 - 2x²

∵ [tex]x=\frac{1}{3}[/tex]

- Substitute the value of x in the expression of the width

∴ [tex]w=2(\frac{1}{3})^{3}+4-2(\frac{1}{3})^{2}[/tex]

∴ [tex]w=2(\frac{1}{27})+4-2(\frac{1}{9})[/tex]

∴ [tex]w=\frac{2}{27}+4-\frac{2}{9})[/tex]

∴ [tex]w=\frac{104}{27}[/tex] feet

∵ l = 5 feet and [tex]w=\frac{104}{27}[/tex] feet

∵ P = 2l + 2w

∴ P = 2(5) + [tex]2(\frac{104}{27})[/tex]

∴ P = 10 + [tex]\frac{208}{27}[/tex]

∴ P = 17.70 feet

* The perimeter of the rectangle is 17.70 feet

If (6^2)^x equals 1, what is the value of x

Answers

Answer:

x = 0

Step-by-step explanation:

If p is a number other than zero, then

[tex] p^x=1[/tex]

only if x=0.

What is the slope of the line on the graph?

Answers

Answer:

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

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

A hiker starts hiking in Death Valley at an elevation of 143 feet below sea level.
He climbs up 400 feet in elevation. What is his new elevation relative to sea level?​

Answers

Answer: 257

Step-by-step explanation:

|-143 + 400| = 257

Final answer:

The hiker starts 143 feet below sea level (-143). After climbing 400 feet, the hiker is now 257 feet above sea level.

Explanation:

The hiker's initial elevation is 143 feet below sea level, which we represent as -143. The hiker then climbs 400 feet, so we add this to the initial elevation. Therefore, the calculation is: -143 + 400 = 257.

This means that the hiker's new elevation, relative to sea level, is 257 feet above sea level.

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What is the factorization of 15x^2+5x-50

Answers

Answer:

5 (3x - 5) (x + 2 )

Answer: 5 (3x-5)(x+2)

8 divided by 2 (2+2)

Answers

Answer:

the answer is 1.

Step-by-step explanation:

2+2=4x2=8 8 divided by 8 = 1

The answer is 1 because you multiply 2 by what’s in the parentheses which equals 8 and divide 8 by 8 equals 1

simplify 5^2 times 5^4

Answers

Final answer:

To simplify the expression [tex]5^2 \times 5^4[/tex] , add the exponents to get [tex]5^{(2+4)}[/tex], which simplifies to 5^6, resulting in a final value of 15,625.

Explanation:

The question involves simplifying an expression with exponential terms. When multiplying exponents with the same base, we add the exponents according to the product of powers property. The base in this question is 5, and we have two exponential expressions:[tex]5^2[/tex] and [tex]5^4.[/tex]To simplify 5^2 x 5^4, you add the exponents since the bases are the same. This gives you[tex]5^{(2+4)} = 5^6[/tex] .

To simplify [tex]5^2 \times 5^4[/tex], we add the exponents 2 and 4, which gives us [tex]5^{(2+4).[/tex] simplifies to [tex]5^6.[/tex] Calculating this, we get [tex]5 \times 5 \times 5 \times 5 \times 5 \times 5,[/tex]  which equals 15,625.

Find the value of a.


Answers

Answer:

where is the pic

Step-by-step explanation:

Figure ABCDE was reflected across the line y = x to
create figure A'B'C'D'E'. What are the coordinates of
the pre-image of E?

Answers

Answer:

See below.

Step-by-step explanation:

If the coordinates of E' were (a, b) the coordinates of  the pre-image E would be (b, a).

y = x  is the line so the coordinates will flip.

Answer:

It would be -2, 6

Step-by-step explanation:

What Is 5/6 + (-1 1/6)?

Answers

Final answer:

The sum of 5/6 and -1 1/6, when understood as fractions, results in the simplified answer of -1/3.

Explanation:

To calculate the sum of 5/6 and (-1 1/6), we must first understand the concept of fractions and negative numbers.

5/6 is simply a fraction. The number -1 1/6, however, is a negative mixed number, which consists of an integer (-1) and a fraction (1/6).

We convert this negative mixed number to a simple fraction to make the calculation easier. -1 1/6 becomes -6/6 - 1/6 which equals -7/6.

Now we add the two fractions: 5/6 and -7/6. These two fractions have the same denominator, so we simply add the numerators: 5 + (-7) = -2.

Therefore, 5/6 + (-1 1/6) is equal to -2/6, which simplifies to -1/3.

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Other Questions
Simplify the expression 3(x + 2)(x2 x 8). 3x3 + 3x2 30x 48 3x3 + x2 10x 16 3x3 30x2 12x 48 3x3 4x2 30x 4 Hace sol, tenog3. Qu tiempo hace donde vives t (where you live)?Hace buen tiempoS. LA ROPA ADECUADA List, in Spanish, four (4)likely wear under each of the following weatherpage R5 in the text book to find the clothing items.CUADA List. in Spanish, four (4) items of clothing that you would mosth of the following weather conditions. Refer to the 4.1 Study Guide andHace fro.Llueve.Hace calor.i dont have my textbook so i need some help :(( For some constants a and b let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.\]The function f has the property that f(f(x)) = x for all x. What is a + b? Is this equation an identity?-5w 8 = 1 2w Which culture was greatly influenced by the Ramayana?O A. AmericanO B. EnglishO. C. IndianOD. Nigerian Need help with 3 and 4 Write the small presentation in this topics "Mukti Bahini" A company has the following balances on December 31, 2018, after year-end adjustments: Accounts Receivable = $62,500; Allowance for Uncollectible Accounts = $6,200. Calculate the net realizable value of accounts receivable. Prokaryotes that are round are called spirochetes. a. Trueb. False What force will give a 40.0 kg grocery cart an acceleraticn of 2.4 m/s^2? Common brass is a copper and zinc alloy containing 37.0% zinc by mass and having a density of 8.48 g/cm3. A fitting composed of common brass has a total volume of 125.5 cm3 Average annual rainfall totals for cities in New York are listed below.Rochester 0.97 metersIthaca 0.947 metersSaratoga Springs 1.5 metersNew York City 1.268 metersa. Put the rainfall measurements in order from least to greatest. Write the smallest total rainfall in word form and expanded form.b. Round each of the rainfall totals to the nearest tenth.c. Imagine New York Citys rainfall is the same every year. How much rain would fall in 100 years?d. Write an equation using an exponent that would express the 100-year total rainfall. Explain how the digits have shifted position and why. What did the People's Party believe would result from the government taking control of America's railroads and banks?Lille Suppose compensation is given by W = 512,000 + 217 + 10.08S, where W = total compensation of the CEO, = company profits (in millions) = $200, and S = sales (in millions) = $400. What percentage of the CEO's total earnings are tied to profits of the firm? An object moving with constant acceleration changes its speed from 20 m/s to 60 m/s in 2.0 s. What is the acceleration? (b) How far did it move in this time? As you read in this chapter, fungi have long formed symbiotic associations with plants and with algae. In a short essay (100 150 words), describe how these two types of associations may lead to emergent properties in biological communities. What are the plural forms of curriculum? Which part of the dictionary entry did you use to find the answer? BRAINLIEST + 30 POINTS! Please help ASAP!(Please explain your work if you can, i'm confused by this module so it'd really help!)In the figure shown, line AB is parallel to line CD.Part A: What is the measure of angle x? Show your work. (5 points)Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) Your organizations network has multiple layers of security devices. When you attempt to connect to a service on the Internet. However, you receive a security message from the operating system stating that this service is blocked on your workstation. What could be the probable cause?a. The IP address of the service is blocked by an intrusion detection system (IDS) b. The service is blocked by the Internet Service Provider (ISP) c. The proxy firewall on the network is blocking the service. d. The host-based firewall settings are blocking the service. Which of the following is not an advantage to using a web hosting provider?