Simplify. 49/16

Be sure to write your answer in simplest form.

Step-by-step explanation:

1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;

3) using the two equations it is possible to make up the system:

\(\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.\)

4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.

5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.

The number of elements will always be the same as the number of observations.

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

\(\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}\)

We are given that;

the number of elements=number

Now,

From observation we can say that the number of elements is equal to the number of observations.

Therefore, by mean the answer will be observation.

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Answer: 7 pizza rolls and 2 sliders

Step-by-step explanation:

250(2)=500 65(7)=455 totals to 955

and 7+2=9

Answer:

Point d's corrdinates are (-7, -3). You can use the coordinate grid to find it out by graphing the others first and then find the missing one based on the sides

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

FRIEND ME AM SMART

Answer:

Area = 35

Step-by-step explanation:

Area = base * height

A=b*h=7*5=35

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

The value of x that satisfies the equation the same value of x as two-thirds (6 x + 12) = negative 24 is x = -4.

The equation is: (6x + 12) = -24/3 To find the value of x that satisfies this equation, we need to isolate x on one side of the equation.

1. Distribute the 2/3 to the terms inside the parentheses:

2/3 * (6x + 12) = -24/3

Simplifying the left side of the equation:

(2/3 * 6x) + (2/3 * 12) = -24/3

2. Multiply:

(12/3)x + (24/3) = -24/3

Simplifying the equation further: 4x + 8 = -8

3. Now, let's isolate x by subtracting 8 from both sides of the equation:

4x + 8 - 8 = -8 - 8

Simplifying: 4x = -16 4.

To find the value of x, we need to divide both sides of the equation by 4:

(4x)/4 = -16/4

Simplifying: x = -4

Therefore, the value of x that satisfies the equation (6x + 12) = -24/3 is x = -4.

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The polynomial x³ - 2x² - 13x - 10 divided by x + 2 will have quotient of x² - 4x - 5x and a remainder of zero.

The polynomial x³ - 2x² - 13x - 10 divided by x + 2 as follows;

We divide the first of the polynomial x³ by x to give x²

multiply x - 1 by x² to get x³ + 2x²,

then subtract x³ + 2x² from x³ - 2x² - 13x - 10 to get -4x² - 13x - 10

divide -4x² by x to get -4x

multiply x - 1 by -4x to get -4x² - 8x

then subtract -4x² - 8x from -4x² - 13x - 10 to get -5x - 10

divide -5x by x to get -5

multiply x - 1 by -5 to get -5x - 10,

then subtract -5x - 10 from -5x - 10 to get a remainder of zero.

Therefore, the division of the polynomial x³ - 2x² - 13x - 10 by x + 2 using long division give us the quotient x² - 4x - 5x and a remainder of zero.

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Answer:

Either  

8.2  x 10^5

is already in standard notation

or you want  

820,000

Step-by-step explanation: To convert from scientific notation to common form move the decimal point in the mantissa (in this case  8.2 ) to the right the number of places indicated by  10 's exponent (in this case 5). [If the exponent is negative the decimal point will be moved to the left].

Answer:

yes it is correct. good job!

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

between 12 and 13

Step-by-step explanation:

answer is 12.4

Answer:

Step-by-step explanation:

12²=144

√144=12

13²=169

√169=13

√154 lies between 12 and 13.

To find the volume of the solid generated by revolving the region under the curve y = 2e^(-2x) in the first quadrant about the y-axis, we use the formula given below;

V = ∫a^b2πxf(x) dx,

where

a and b are the limits of the region.∫2πxe^(-2x) dx = [-πxe^(-2x) - 1/2 e^(-2x)]∞₀= 0 + 1/2= 1/2 cubic units

Therefore, the volume of the solid generated by revolving the region under the curve y = 2e^(-2x) in the first quadrant about the y-axis is 1/2 cubic units.

Note that in the formula, x represents the radius of the disks. And also note that the limits of the integral come from the x values of the region, since it is revolved about the y-axis.

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Answer:

Angle NOR is 127 degrees

Step-by-step explanation:

This is an example of the vertical angles theorem

Answer:

127

Step-by-step explanation:

This is ALSO called vertical angle. They are both congruent.

The probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.

What is probability?

The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or observations. In this case, Sue hit the bullseye 4 times out of 14 total trials (4 hits + 10 misses).

Therefore, the experimental probability that Sue will hit the bullseye on her next toss is:

4 hits / 14 total trials = 0.2857 or approximately 0.29

So the probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.

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Complete question is:  Sue is playing darts. So far, she has hit the bullseye 4 times and missed the bullseye 10 times. the probability that Sue will hit the bullseye on her next toss is approximately 0.29 or 29%.

Answer: 2/7

Step-by-step explanation: i did this question, trust me

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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Answer:

The slope is again 1

Step-by-step explanation:

Because x1 and x2 is 5 and 8, and y1 and y2 are 5 and 8, the slope equation becomes 5-8 / 5-8, which would turn into -3 /-3, or 1.

:)

Answer: 1

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise over run between any two points that are on that line.

So for the line you see here, we will use the two points that are given.

Starting at the point (5,5), we will rise 3 units and run 3 units

in order to get to our second point, (8, 8).

This means that the slope or rise over run is 3/3.

However, 3/3 can be reduced to 1.

So the slope of this line is 1.

Answer:

a) 148.52

Step-by-step explanation:

If sum of two angles is 180, then they are supplementary

Ratio = 10 : 47

Smaller angle = 10x

Larger angle = 47x

10x + 47x = 180

57x = 180

Divide  both sides by 57

x = 180/57

x = 3.16

Larger angle = 47x = 47 * 3.16 = 148.52

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

A= 3619.09

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps : )

Company starts to turn a profit when number of items sold is less than 20, when it is given that fast-food restaurant has a cost of production c(x) = 11x + 120 and revenue function r(x) = 5x.

Step 1: Profit function is given by: P(x) = r(x) - c(x)

Here, r(x) = 5x and c(x) = 11x + 120.

Substituting these values in the above equation:

P(x) = 5x - (11x + 120)P(x)

= -6x - 120

So, profit function of the company is P(x) = -6x - 120

Step 2: Find when the company starts to turn a profit

Company starts to turn profit when P(x) > 0.

Substituting P(x) from step 1:

P(x) > 0-6x - 120 > 0

Add 120 to both sides-6x > 120

Divide by -6  and reverse the inequality : x < -20

Therefore, the company starts to turn a profit when the number of items sold is less than 20.

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The graph for the given function f(x)=-5/4x+6. is obtained.

For the stated question, the function is defined as;

f(x) = -5/4x + 6.

Put x = 0,

f(0) = -5/4(0) + 6.

f(0) = 6

Coordinate (0, 6)

For, the solution of f(x) = -4, put f(x) = -4

-4 = -5/4x + 6

x = 8

Coordinate (8, -4)

Plot the graph using the obtained points for the function.

Thus, the graph for the given function is obtained.

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Answer:

given:- radius of the circle = 6 cm

to find:- circumference of the circle = ?

solution:- circumference of circle = 2πr^2

= 2x 22/7 (6)^2

= 2x 22/7 x 36

= 44/7 x 36

= 1584/7

= 226.3

The yield of the 20-year 7% annual interest bond selling for $1,084 is approximately 3.12%(d).

To calculate the yield of a bond, we can use the formula:

Yield = (Annual Interest / Bond Price) × 100

We are given the information with Annual Interest = 7% of the face value = 0.07 × $1,000 = $70

Bond Price = $1,084

Yield = (70 / 1084) × 100 ≈ 3.12%

Therefore, the yield of the bond is approximately 3.12%. So the correct option is d which means that the yield of the bond is approximately 3.12%.

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The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

d

Step-by-step explanation: