find the length of arc CE. Round to the nearest hundredth.

We get from the question the following equation:

S = d/t

We have the following informations:

Speed(S) = 75 miles /h

Distance(d) = 187.5 miles

If you plug those informations into the formula, you'll get the following:

75 miles/h = 185.5 miles/ t

Now, you just have to solve for "t". If you invert the equation, you'll get(I'm going to omit the units, to make it clearer, but don't forget about them!)

1/75 = t / 185.5

If you multiply both sides by 185.5, you'll get

185.5/75 = t

Solving this calculation, we get the final solution!

t = 185.5/75 hours = 2.47 hours

Dora have 144 shares of stocks while Addison have 37 shares of stocks.

Let us say that Addison own X shares of stock.

According to the situation provided,

The number of shares of stocks own by Dora are 4 less than 3 times of the Stocks owned by Addison.

Stocks Owned by Dora = 3x - 4

The total shares of stocks are 152.

So, we can write the relation between the stocks as,

x + 3x - 4 = 152

4x - 4 = 152

The above formed relations between the stocks is in the form of linear equation in one variable. A linear equation has highest power of variable equal to 1 and only one variable.

Now, solving the equation further,

4x - 4 = 152

4x = 148

x = 37

The total numbers of stocks owned by Addison are 37.

Shares of stocks owned by Dora are 3(37)-4.

The share of stocks owned by Dora are 144.

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Step-by-step explanation:

-7 + 9 + (-8)

2 + (-8)

-6

Hope this helps! :)

Step-by-step explanation: Remove parenthesis. If there is a "+" in front of an expression in parenthesis, the expression remains the same.

-7+9-8. Calculate the sum or difference. You should get -6.

The amount that each theater make if they received the same number of moviegoers will be $2550.

From the information, 5,780 people saw a new movie at 17 different theaters and each theater sold tickets at $7.50 a piece.

Therefore, the amount that each theater make if they received the same number of moviegoers will be:

= (5780 × $7.50) / 17

= $43350 / 17

= $2550

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The equation of the line woth slope 0 and passing through (-9,7) in slope-intercept form is y = 7.

If a line L has a slope M and it has the intercept c, then the equation of the line L can be written in the point slope form as,

L : y = Mx + c

This above equation of line is known as slope-intercept form of line.

Here, we have to find the equation of line which has slope m equal to zero and passing through (-9,7).

putting the known values in y = mx+c

y = (0)x+ c

y = c

Putting the value of y = 7

c = 7

Here, we have,

y = 7

So, the equation of the required line is y=7.

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The form of the linear equation is

y = m x + b

m is the slope of the line

b is the y-intercept

The rule of the slope is

(x1, y1) and (x2, y2) are two points on the line

Since (0,0) and (10, 12) are two points on the line

x1 = 0 and y1 = 0

x2 = 10 and y2 = 12

Now substitute them in the rule to find m

The slope of the line is 1.2

Substitute it in the form of the equation

y = 1.2 x + b

b is the y-intercept which means value y at x = 0

Since at x = 0, y = 0

Then b = 0

The equation of the line is

y = 1.2 x

Let's begin by identifying key information given to us:

Import (2008) = 1,870,000 bbl

Import (2008) =

Answer:

3

Step-by-step explanation:

7 - 4 is 3

Answer:

C. 64 units squared

Step-by-step explanation:

do 4•4•4 so 4 • 4 = 16 then 16 • 4 = 64 and since its surface area square it. so the answer would actually be 4096 units

We illustrate the division of fractions by taking the example below.

The first step is to change the division sign to multiplication by changing the fraction after the division sign.

Next, we multiply the numerators together and the denominators together.

You then simplify by dividing common factors.

To divide the 1/4 of a pound into two equal parts, it is necessary to divide 1/4 by 2, as follow:

(1/4)/2

if 2 is written as 2/1, the previous quotient can be written as a product:

(1/4) (1/2) = 1/8

Now, to write a general expression that takes into account the number of siblings, you name the number of siblings as x. Thus, you have:

(1/4)/(x) = 1/(4x)

Answer:

19.5

all you had to do was divide 15% with 130.00

Based on the amount you paid for the shares and the selling price as well as the number of years, the total return would be -51.9%

The annual return would be -16.7%

The total return on the stock can be found by finding the difference in stock prices for the 4 years and dividing by the buying price:

= (1,300 - 2,700) / 2,700 x 100%

= -1,400 / 2,700 x 100%

= 0.51851851851851851851851851851852  x 100%

= -51.9%

The annual return can be found as:

= ((1,300 / 2,700) ^ 1/4  - 1) x 100%

= -16.7%

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Given that,

base salary = b = 5000$

Comission rate = 6% = 0.06

Let's say, the sales are = x

As given in the question, he receives 6% commission on all sales over $8000.

Hence, the commissionable amount is (x - 8000) '.' x - 8000 shows the amount greater than 8000, which receives a commission.

hence, gross income will be

base salary + commission * (commisonable amount)

=> 5000 + 0.06 * (x - 8000)

Given the formula for volume:

Let's rewrite the formula in terms r, V and h.

i) Rewriting for r in terms of V and h :

2) Given:

Volume, V = 66 cubic inches

height, h = 3.3 inches

We know that diameter is radius multiplied by 2.

To find the diameter, first find the radius.

Therefore, we have:

Since the radius is 2.52 inches, the dia,eter will be:

D = r x 2 = 2.52 x 2 = 5.04 inches

To the nearest inch = 5 inches

ANSWER:

diameter = 5 inches

see the figure below to better understand the problem

cos(F)=EF/DF --------> by CAH

substitute given values

cos(F)=72/78

simplify

7) We know that x = 5 and y = 2

We can write an equation that relates this values as a proportion.

Let's say there is a number r such as:

x*r=y

That's a equation that relates x and y. Let's solve for the values given.

Now solve for r:

The relation we found is:

Now to find the value of x when y = -6, we replace it in the equation:

Then with this relation, x = -15 when y = -6

INFORMATION:

We have the graph of a function that has the form y = ( x - h)² and we must find the value of h.

STEP BY STEP EXPLANATION:

we can see that the graph is a parabola which its vertex is at the point (2, 0)

Now, having this point we can replace the values of its components in the formula of the function

Since the point is (2, 0), then x = 2 and y = 0

Finally, we must solve the equation for h

ANSWER:

C) 2

Given:

A graph

To determine if the given function is continuous, we first note that the given function has gaps or holes. As we can see, the function has two holes.

We must also remember that a function that has any hole or break in its graph is known as a discontinuous function.

Therefore, the answer is:

In order to find the number of ways, we must simply calculate:

4! = 4*3*2*1 = 24

24 possible ways.

The cost of the 5 bags using proportionality method is: $36.25

What is proportionality?

In mathematics, the term proportionality can be defined by considering a two quantities in constant ratio. And the two quantities can be recognized as the variable y and x. Where, the variable y is defined as directly proportionate to the changes in the variable x which is based on its constant ratio.

According to the question, the given data states that 5 bags will cost $36.25.

By using proportionality method to solve the given statement.  Put the price over the number of bags

21.75          x

---------- = ---------

3 bags       5 bags

Using cross products defined in standard mathematics,

21.75 * 5 = 3x

108.75 = 3x

Divide each side by 3

108.75/3 = 3x/3

36.25 =x

5 bags will cost 36.25

Hence, the cost of the 5 bags using proportionality method is: $36.25

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Correct Question:

At the nearest wholesale store, 3 bags of bulk cereal cost $21.75. At this rate, how much would 5 bags of bulk cereal cost?

Answer

The solution is

-3 < x < 3

Explanation

To solve an expression with the absolute value symbol. we obtain two solutions for it.

We first solve when the other side of the equation to the absolute value symbol has positive sign.

Then, we obtain another solution by setting that other side (the right-hand side) to negative. For equations involving inequality signs, the second solution usually changes the inequality sign.

| 2x + 3 | < x + 6

First solution

2x + 3 < x + 6

2x - x < 6 - 3

x < 3

Second solution

2x + 3 > -(x + 6)

2x + 3 > -x - 6

2x + x > -6 - 3

3x > -9

Divide both sides by 3

(3x/3) > (-9/3)

x > -3

So, the solution written together,

x > -3 and x < 3

together, it is

-3 < x < 3

Hope this Helps!!!

9 is the greatest number of plants in one row.

The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

To find the greatest number of plants she can put in one row  , need to find

HCF of 45 , 81 and 63

45 = 3× 3 × 5 = 3² ×5¹

63 = 3 ×3 × 7  = 3² × 7¹

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power

HCF = 3² = 9

Hence greatest number of plants she can put in one row  is 9

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SOLUTION

An inverse variation is given as

Putting a = 10 and b = 2, we have;

The relationship becomes

Therefore, n = 5

a)  Amount of paint needed for 200 km road = 6250 litres

b)  Length of road that can be painted by using 4000 litres of paint = 128 km

Amount of paint used for painting white lines on road= 250 litres

Length which was painted = 8 km

By using unitary method;

Thus for 1 km amount of paint required = 250/8

= 31.25 litres

a) Amount of paint needed for 200 km road = 31.25 × 200

= 6250 litres.

therefore, Amount of paint needed for 200 km road = 6250 litres

b) Since for 1 km 31.25 liters paint is required this implies with 1 liter = 1/ 31.25 =  0.032 km can be covered.

Length of road that can be painted by using 4000 litres of paint = 4000× 0.032

= 128 km

Thus, Length of road that can be painted by using 4000 litres of paint = 128 km

A single or unique unit is referred to as unitary. Determining values in relation to a single unit is the goal of this strategy. For instance, we can use the unitary technique to determine how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

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Answer:

B

Step-by-step explanation:

387/9 = 43

We have to find the line equation of the function shown. We see that passes through the points:

For doing so, we will find the slope and the y-intercept. The slope is given by the expression:

where (x₁,y₁) and (x₂,y₂) are two points of the line. In this case, replacing we obtain:

And thus, the slope is - 1/3. Now, for the y-intercept, we remember that when the x-coordinate is 0, the y-intercept is the y-coordinate.

As the line passes through the point (0,2), the y-intercept will be 2.

Putting those two together, the equation of the line will be:

Area of square = L x L

12sq feet =L x L