To rent a certain meeting room, a college charges a reservation fee of $47 and an additional fee of $5.70 per hour. The history club wants to spend at most
$75.50 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answer: $270

Step-by-step explanation:

1. calculate how much he's getting paid per hour

- 360 / 12 = $30

2. calculate  how much he's getting paid for 9 hours

- 30 * 9 = $270

The amount he would be paid for 9 hours of work is  270.

The first step is to determin1 be how much the painter would be paid for 1 hour of work.

Pay for working for 1 hour = 360 / 12 = 30

The pay for 9 hours = 30 x 9 = 270

Answer:

4

Step-by-step explanation:

The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.

We have been given data:

Principal (P) = $30,000

Rate of Interest (R) = 2.5% = 2.5/100 = 0.025

Time (T) = 10 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 30,000 × 2.5% × 10

⇒ Simple interest  = 30,000 × 2.5/100 × 10

⇒ Simple interest  = 30,000 × 0.025 × 10

Apply the multiplication operation, and we get

⇒ Simple interest  = $7,500

Therefore, the required simple interest would be the amount of $7500.

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Answer:

Simply interest = $750.00.

Step-by-step explanation:

From the question

Principal = $30,000

Time = 10 years

Rate = 2.5%.

Sample interest = ?

Simple interest is give by the formula

= Principal × Rate ×Time

100

= 30,000 × 2.5 × 10

100

=3000 × 2.5 × 1

Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1

Simple interest = $750.00

Answer:

the awnser is 3

Step-by-step explanation:

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).

Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.

Given Equation: 2x² + 8x - 90

Step 1: Pull out like factors from the equation

 ⇒ 2x² + 8x - 90  =   2 • (x² + 4x - 45)

Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)

   ⇒ x²+ 9x - 5x - 45

Step 3: Take Common factors from the two pairs of the equation

⇒ x(x + 9) - 5(x + 9)

Step 4: Rewrite the polynomial in factored form

  ⇒ 2(x + 9)(x - 5)

Therefore the factorization result is 2(x + 9)(x - 5).

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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Given:

The inequality is:

\(5x-y>-3\)

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

\(5x-y>-3\)

The related equation for this inequality is:

\(5x-y=-3\)

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

\(5(0)-(0)>-3\)

\(0>-3\)

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The slope of the line will be equal to -4/3.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the two points are (2,3) and (8,-5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -5 - 3 ) / (  8 - 2 )

Slope = -8 / 6

Slope = -4 / 3

Therefore, the slope of the line will be equal to -4/3.

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Step-by-step explanation:

14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.

The solution of the equations is x = -2 and y = 4, and when we substitute the value of x and y in equation 1 and 2 we see that the solution is true for both equation.

The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. Thus, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.

The two equations are:

y = -3x - 2 ......(1)

2y = -x + 6 ........(2)

Substitute the value of y from equation 1 in equation 2:

2y = -x + 6

2(-3x - 2) = -x + 6

-6x - 4 = - x + 6

-4 - 6 = -x + 6x

-10 = 5x

x = -2

Substitute the value of x in equation 1:

y = -3x - 2

y = - 3(-2) - 2

y = 6 - 2

y = 4

The solution of the equations is x = -2 and y = 4.

To check the solution substitute the value of x and y in equation 1 and 2:

b. y = -3x - 2

4 = -3(-2) - 2

4 = 4

True.

c. 2y = -x + 6

2(4) = -(-2) + 6

8 = 8

True

Hence, the solution of the equations is x = -2 and y = 4, and when we substitute the value of x and y in equation 1 and 2 we see that the solution is true for both equation.

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Answer:

40

Step-by-step explanation:

\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)

Answer:

you round the .0075 up, getting 2.34

Step-by-step explanation:

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

Answer:

20/7 or as a mixed number 2 and 6/7

Step-by-step explanation:

8

1

÷

14

5

=  

8

1

×

5

14

=  

8 × 5

1 × 14

=  

40

14

=  

40 ÷ 2

14 ÷ 2

=  

20

7

=  

2 6

7

Since f and m are parallel lines, the statement of corresponding angles confirms that <2 and <3 are congruent.

Cooresponding angles are this:

In order to simplify the expression, let's divide each term in the numerator by the denominator:

Then, to remove the complex number i from the denominator of the first fraction, let's multiply the numerator and denominator by i:

Therefore the complex number in the form a + bi is equal to 1/2 + (5/2)i.

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

Answer:

1.97

Step-by-step explanation:

Following are the solution to the given points:

Assume A, P, and B is the masses of apples, pears, and basket, respectively.

\(\to W = 4A + 6P + B\)

Calculating the mean of W:

\(\to \bold{W = E(W) }\)

         \(\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }\)

Calculating the variance of W:

\(\to \bold{W=Var(W)}\\\\\)

         \(\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}\)

Calculating the standard deviation of W:

\(\to \bold{W= \sqrt{5.3408}= 2.311017}\)

The linear combination of Normal random variables is known to follow the normal distribution.

\(\to \bold{W \sim N(64.86 , 2.311017)}\)

Calculating the Probability of the Total Weight is more difficult.\(\to \bold{67 = P(W > 67)}\)  

         \(\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}\) (Using Standard Normal distribution)

Therefore, the final answer is "64.86, 2.311017, and 0.1762".

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After writing y = kx, we'll solve for k putting the given corresponding values of x and y.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Suppose we have two variables x and y and they are directly proportional and some values of x and y are given.

If we see that y has a bigger corresponding value than x, we'll write

y = kx,

In the case of inverse variation, we write y = k/x.

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Answer:

 google

Step-by-step explain

Google is key

Answer:

Corson had a better performance at the skills competition.

Step-by-step explanation:

In order to determine which player had a better performance at the skills competition, we need to find the percentage performance of both the players.

Therefore,

Corson's percentage performance

\( =\frac{5}{7}\times 100= 71.43%\)

Charleigh's percentage performance

\( =\frac{3}{5}\times 100= 60%\)

\( \because \) Corson's percentage performance > Charleigh's percentage performance

So, Corson had a better performance at the skills competition.

Answer:

x=4.5 or 9/2

Step-by-step explanation:

\(\frac{6}{3}\)=\(\frac{9}{x}\)

Then, cross multiply

6×X=6x

9×3=27

6x=27

x=4.5

Answer:

answer

Step-by-step explanation:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.