The quotient of a number and 5 plus 25 is no more than 45. What are the possible values for the number?

Step-by-step explanation:

Area of a kite = D1 × D2/2

D1 = 6.9 + 13.8 = 20.7m

D2 = 9.2 + 9.2 = 18.4m

Area =. 20.7 × 18.4

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

2

= 190.44m²

Answer:

\(x = 31\)

Step-by-step explanation:

\(5x - 16 + x + 10 = 180\)

\(5x + x = 180 + 16 - 10\)

\(6x = 186\)

\( \frac{6x}{6} = \frac{186}{6} \)

\(x = 31\)

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.

Step-by-step explanation:

The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.

Using the numbers 12, 6, 6, the triangle can not be formed.

The given numbers are 12, 6 and 6.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, 6 + 6 = 12 but not greater than 12

Therefore, using the numbers 12, 6, 6, the triangle can not be formed.

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The product of -1115 and - 35 is 39025

We have to find the product of -1115 and - 35.

This simply means we have to multiply -1115 by -35.

Recall the product of negative and negative is positive.

Hence,

- 1115 × - 35 = (- × -) (1115 × 35)

- 1115 × - 35 = 39025

Therefore, the product of -1115 and - 35 is 39025

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Answer: its 11/25. I did the test trust me-

Answer:

7 and -7

Step-by-step explanation:

Correct question

Which shows all the values of x that make the rational expression 2x^2-72/5x^2-245 undefined

For the expression to be undefined, the denominator must be equal to zero

Hence 5x² - 245 =0

Add 245 to both sides

5x²-245+245 = 0+245

5x² = 245

x² = 245/5

x² = 49

x = ±√49

x =7 and -7

Hence the values of x that will make the function undefined are 7 and -7

Step-by-step explanation:

Given that :

Total length of the track = 630 m

Distance covered by Sweeti by walking = 2/7 of the running track

2/7 of 630 m

⇛ (2/7)×630

⇛ (2×630)/7

⇛ 1260/7

⇛ 180 m

Distance covered by walking = 180 m

Remaining distance =

Total distance - Distance covered by walking

⇛630 m - 180 m

⇛ 450 m

The total distance covered by running by Sweeti is 450 m.

Read more:

Similar Question

You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....

https://brainly.com/question/20123561?referrer

Answer:

Explanation:

Jaime made $24,872 for herself in 8 months.

To determine the amount she made per month, we divide the total amount by the number of months.

Answer:

C

Step-by-step explanation:

simply add all the terms and simplify

3^x + 10x + 4x - 2

3^x + 14x - 2

Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

2

Step-by-step explanation:

24*w = 288

w = 288 /24

w = 12

24 ÷ w = 24 ÷ 12 = 2

Answer:

C is the answer

Step-by-step explanation:

hope that helped

Answer: -m^4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 x -1 x -1 = 1

Given:

The percentage of age group smoking Marijuana is,

18-29 years = 22%

30-49 years = 11%

Over 65 = 3%

For the age group 30-49,

Total people smoke Marijuana is,

Total people don't smoke Marijuana is,

Total people,

The percentage of people who smoke Marijuana in the age group 50-64 is,

The percentage of people in the age group 50-64 who smoke Marijuana is,

-

To find the equation of the line that passes through ( -702, 178.5) and (100, -22)

we will use the formula;

From the points given:

x₁=-702 y₁=178.5 x₂ =100 y₂=-22

substituting into the formula;

Simplifying;

open the parenthesis;

y - 178.5 = -0.25x - 175.5

y= -0.25x - 175.5 + 178.5

y= -0.25x + 3

Answer:

as we know Sara need 8 tube in 3 experiment

she will use 2 tube in 1 experiment

now she have 6 tube in other experiments

so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment

Step-by-step explanation:

total tube=8 (3 experiment)

used =2tube (1 experiment)

remaining=8-2=6

now ,

dividing 6 into 2 equal part

so,=6/2=3

so 3 tube were used in 2nd experiment and 3in 3rd experiment

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Answer:

9 times the quantity s plus 25 i think

Step-by-step explanation:

Answer:

y = 15

Step-by-step explanation:

y - 58 = -43

add 58 to both sides

y = 15

Answer:

y = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

y - 58 = -43

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it's a solution.

Here we see that -43 does indeed equal -43.

∴ y = 15 is the solution to the equation.

Answer:

She is wrong

Step-by-step explanation:

Bacause it can't feet according to the area given

The tiles are bigger

Answer:

\(\mathrm{Sum\:of\:Exterior\:Angle\:\ne \:Interior\:Angle}\:\\\\132^\circ\ne135^\circ\)

Step-by-step explanation:

The exterior angle two figures on the left (hexagon and pentagon) sums up to  \(132^\circ\). The interior angle of figure on the right must be equal to this sum to fit in. The interior angle of an octagon is \(135^\circ\).

So, it is not possible to fit the octagon in the combination of other two tiles.

Regards: Umer

Answer:

100°

Step-by-step explanation:

The sum of all the angles of a kite is 360°.

So:

360-(124+36)

=200

∠s = 200/2

    =100°

Hope this helped lol

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41