What is the approximate total distance around the outside of the school lobby?


44 ft


50 ft


60 ft


89 ft

Answer:

The answer would be 11

Step-by-step explanation:

First, follow the order of operations so do the parentheses first.

30-2(7+2)-1

30-2(9)-1

Then multiplication

30-18-1

Then left to right

12-1

Then again

So your answer is 11

Answer:

11

Step-by-step explanation:

7+2=9

2x9=18

30-18=12

12-1=11

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

Answer:

Third option

Step-by-step explanation:

We need to either divide the second equation by 3 or -3 to get y or -y, where we would then subtract or add both equations OR multiply the first equation by 3 or -3 to get 3y or -3y, where we would then subtract or add both equations.

The only option that does this is the third.

Hope this helps!

Answer:

See below!

Step-by-step explanation:

15 - Put an open dot on 2, and draw a shaded arrow going right

16 - Put a closed dot on -4, and draw a shaded arrow going right

17 - Put an open dot on 3, and draw a shaded arrow going left

18 - Put a closed dot on 6 and draw a shaded arrow going left

19 - Put an open dot on -3 and draw a shaded arrow going right

20 - Put a closed dot on 3 and draw a shaded arrow going right

21 - Put a closed dot on 5 and draw a shaded arrow going left

22 - Put a closed dot on -3 and draw a shaded arrow going left

23 - Put an open dot on 4 and draw a shaded arrow going left

24 - Put an open dot on -1 and draw a shaded arrow going right

25 - Put an open dot on -7 and draw a shaded arrow going left

Answer:

I added a picture hope it helps

Answer:

380

Step-by-step explanation:

Order of operations!

(458+56)-134

(514)-134

514-134

380

done!

Answer:

3.8%

Step-by-step explanation:

After evaluating the expression you get 380. You take 380, and turn it into a percentage, move the decimal to the left twice. Giving you 3.8%

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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Answer:

The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive.

Answer:

You could also find the unit rate by dividing the first term of the ratio by the second term. When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price.

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

Answer:

i dnt know

Step-by-step explanation:

Answer:

m<1 = 75

m<2 = 55

m<3 = 55

Step-by-step explanation:

Well <1 + 50° is vertical to 125 so do this

<1 + 50 = 125 (subtract 50 on both sides)

<1 = 75

Now <1 + <2 + 50° = 180

We know what <1 is so..

75 + <2 + 50 = 180 (collect like terms)

125 + <2 = 180 (subtract 125 on both sides)

<2 = 55

Since <2 and <3 are vertical that means they equal the same so

<3 = 55

Hope this helps ya! Keep smiling!

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The labels for the segmented bar graph include:

A bar graph is a graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

Here, the identification of the labels for the segmented bar graph has been depicted based on the information.

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The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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The equation for g (x) is,

⇒ g(x) = x² -3

Since, The function is,

⇒ f (x) = x²

when x = 0, f(x) = 0

hence it has vertex at (0,0)

Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),

Then, g(x) must be shifted along y axis.

So, We get;

g(x)= x²+c

when x = - 1, g(x)= 4

4 = (-1)² + c

4 = 1 + c

c = 3

Thus, The equation for g (x) is,

g(x) = x² -3

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

7.33

Step-by-step explanation:

l/b=3/2

8.6/b=3/2

3b=8.6*2

b=17.2/3

b=7.33

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

1

Step-by-step explanation:

Because a point must be intersecting 2 lines for it to count. 3 is not the slope because if you try to recreate it under it will end up on a line that does not inersect. Hope this helps and could u try and answer my most recent question?!

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

c) 118°

Step-by-step explanation:

PN is the diameter of the given circle.

\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)

Now, by inscribed angle theorem:

\( m\widehat {MN} = 2\times m\angle MPN\\

\therefore m\widehat {MN} = 2\times 31°\\

\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)

Now,

\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\

\therefore m(\widehat{MP}) + 62° =180°\\

\therefore m(\widehat{MP}) =180°-62°\\

\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Answer:

Let's call the number we're looking for "x".

The problem states that the quotient of x and 8 is added to 1/2, and the result is 7/8. We can write this as an equation:

x/8 + 1/2 = 7/8

To solve for x, we need to isolate it on one side of the equation.

First, we can simplify the left side of the equation by finding a common denominator of 8:

8(x/8 + 1/2) = 8(7/8)

x + 4 = 7

Next, we can isolate x by subtracting 4 from both sides:

x = 3

Therefore, the number we're looking for is 3.

Answer:

Step-by-step explanation:

Answer:

YES PARALLEL

Step-by-step explanation:

The slopes of

y=−x+3 and −3x−3y=1 are both −1.

Parallel