Solve the inequality: –3(–3x – 4) < 66

Answer:

We divided the figure into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 7 x (15 + 2 - 6 - 2)/2 + 8 x 15 + 5 x 2

   = 161.5

Hope this helps!

:)

Final answer:

The inequality to determine the minimum amount each cheerleader needs to raise to cover the team fee and individual entry fees is m >= $50.99. This is calculated by dividing the team fee of $99 and the total individual fees of $818.82 by 18 cheerleaders, and summing those amounts.

Explanation:

The question asks to find an inequality to determine the minimum amount of money, m, each cheerleader needs to raise to cover both the team fee and individual fees. Coach Walker's cheerleading team has a total team fee of $99 and individual fees amounting to $818.82 for 18 cheerleaders.

To find the equation that expresses the total cost, we start with the total individual fee for the cheerleaders, which is $818.82. This fee needs to be divided among the 18 cheerleaders, and when added to the team fee that is split equally, it gives the amount each cheerleader should raise.

The inequality should ensure that the total amount raised by each cheerleader, m, is enough to cover both their share of the team fee and their individual fee. The equation for the team fee per cheerleader is $99 divided by 18. We can add the individual fee of $818.82 divided by 18 to this amount to find the minimum amount each cheerleader should raise.

Setting up the Inequality

First, calculate the per person cost for the team fee: $99 / 18 = $5.50 per cheerleader.

Second, calculate the per person individual fee cost: $818.82 / 18 = $45.49 per cheerleader.

Now, we add both of these to find the total minimum amount each cheerleader should raise: $5.50 (team fee per cheerleader) + $45.49 (individual fee per cheerleader) = $50.99.

The inequality that represents the minimum amount each cheerleader needs to raise is:

m >= $50.99

This inequality ensures that each cheerleader raises at least enough to cover their portion of the fees.

It’s biased because he is asking people who left a country concert and usually people who go to concerts go because it’s the type of music that they like, so the chances of someone saying they like a different kind of music probably won’t happen.

Answer:

The length of the wire in millimeters is 9 × 10² mm.

Step-by-step explanation:

1 meter is equal to 1000 millimeters. This is the ratio that we use to convert a length in meters to one in millimeters.

0.9 m × (1000 mm/ 1 m) = 900 mm = 9 × 10² mm (we round off to 1 significant figure)

Answer:

15.2 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

The hypotenuse of the formed triangle =  length of ladder = 16 feet

base = 5 feet

let h = height of house

16 ^2 = 5^2  +  h^2

256 = 25 + h^2

231 = h^2

h = root(231) = 15.1986 feet

Answer:

0.2

Step-by-step explanation:

Answer:

Using the data from the table, what is P(3)?

Answer: 0.2

What is the mean of the probability distribution?

Answer: 2.0

Step-by-step explanation:

Answer:

Brady will need 25.12ft  of edging

There are 50.24ft²  in bradys garden

Step-by-step explanation:

radius = half of diameter

r = 8ft /2 = 4ft

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 4ft

π = 3.14

c = 2π * r

we replace with the known values

c =  2 * 3.14 * 4ft

c = 25.12ft

Brady will need 25.12ft  of edging

To solve the second part of the problem we need to use the area formula of a circle:

a = area

r = radius = 4ft

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (4ft)²

a = 3.14 * 16ft²

a = 50.24ft²

The area of the circle is 50.24ft²

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]

Upon substituting the ratio between figure A and figure B, we will get:

[tex]\frac{3}{8}=\frac{x}{24}[/tex]

[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]

[tex]\frac{3}{1}\cdot 3=x[/tex]

[tex]9=x[/tex]

Therefore, the value of x is 9.

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of [tex]x[/tex] is 9.

Given:

The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].

Write the equation for proportion.

[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]

Apply the cross multiplication rule.

[tex]3\times24=8\times x[/tex]

Further solve for the [tex]x[/tex].

[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]

Thus, the value of [tex]x[/tex] is 9.

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Answer:

8

Step-by-step explanation:

Answer:

You can't simplify it. 637 over 1000 simplified is 637/1000, unless you can put a decimal?

Step-by-step explanation:

Answer:

Check the explanation

Step-by-step explanation:

Journal entries are as follows:-

Date                 Account Titles                Debit                     Credit

Oct-01.            8% Note Receivable      $35,000.00

                                  Land                                                     $30,000.00  

                             Gain on sale                                             $5,000.00

                             (Sale of Land)  

Dec-31                 Interest Receivable          $700.00

                            Interest Revenue                                         $700.00

            (Interest revenue on Note for 3 mon. recognized)    

                      ($35,000 * 8% *3/12 = $700)  

Answer:

A)  x >(Greater-than-or-equal-to) 2236

Step-by-step explanation:

The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236) which is option a.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b

According to question

Their savings are $2764

and they need $5000

so inequality is (2764 + x) ≥ 5000

On solving

2764 + x ≥ 5000

x ≥ 5000 - 2764

x ≥ 2236

Hence, The solution of the inequality (2764 + x) ≥ 5000 is x ≥ 2236 (x Greater-than-or-equal-to 2236).

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Answer:

x - 5y

Step-by-step explanation:

Let's solve your question together,

6x - 8y - 5x + 3y

first arrange them according to their variable.

6x - 5x - 8y + 3y

Now, solve

x - 5y

Hope this helps :)

Answer:

The answer you have selected should be correct.

Answer:

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

Step-by-step explanation:

I assume this is a simple interest rate.  If not I will give the one for compound interest.

V = 5000 + 5000* 0.055 * T      (Value of account after T years)

V = 5000 +  275*T   for simple annual interest

or:   A = 5000 * (1.055)^T   for an annual compound interest

The equation that best describes the investment after T years is I = P * r * T, where I is the investment value, P is the principal amount, r is the interest rate, and T is the number of years.

The equation that best describes the investment after T years is:

I = P * r * T

Where:

I is the investment value after T years

P is the principal amount initially invested ($5,000 in this case)

r is the interest rate per year (5.5% as a decimal, which is 0.055)

T is the number of years

For example, if T = 3 years, the equation would be:

I = 5000 * 0.055 * 3 = 825

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Answer:

3/4

Step-by-step explanation:

Final answer:

The probability of Odell winning, which happens when 'A' is not spun at all, is 9 out of 16 possible outcomes when the spinner is spun twice. We calculate this by counting the number of outcomes without 'A' (9) and dividing by the total number of outcomes (16).

Explanation:

To find the probability that Odell wins, we first need to list all the possible outcomes when Gerardo spins the spinner twice. Since the spinner has four equal sections labeled A, B, C, and D, we can list the sample space (S), which includes every combination of two spins:

AA

AB

AC

AD

BA

BB

BC

BD

CA

CB

CC

CD

DA

DB

DC

DD

For Gerardo to win, A must appear at least once. We can identify the outcomes in which A does not appear at all, which would be the cases where Odell wins:

BB

BC

BD

CB

CC

CD

DB

DC

DD

There are 9 outcomes where A does not appear. Since each combination is equally likely, we can calculate the probability (P) that Odell wins by determining the ratio of these 9 outcomes to the total 16 outcomes in the sample space:

P(Odell wins) = Number of Odell winning outcomes / Total outcomes = 9 / 16

Therefore, the probability that Odell wins is 9/16.

Answer:A

Step-by-step explanation:

Answer:

3 kg = 105.82 ounces

Step-by-step explanation:

We have,

1 ounce = 28.35 g

and

1 kg = 2.21 lb

If we want to the value of 3 kg to ounces. The direct relation between kilogram to ounce is as follows :

1 kg = 35.274 ounces

It means,

3 kg = 105.82 ounces

So, the value of 3 kg is equal to 105.82 ounces.

Answer:

“Although she set up the conversion correctly, she is not correct. She must have made an error when multiplying and dividing”

Step-by-step explanation:

Edge <3

The experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.

The question is asking for the experimental probability that the next vehicle that comes on the lot will be a red car. To find this, we need to divide the number of red cars by the total number of vehicles on the lot. From Damon's table, we see that there are 45 red cars on the lot. The total number of cars and trucks is calculated by adding all the numbers in the table: 45 (red cars) + 41 (white cars) + 46 (silver cars) + 21 (red trucks) + 24 (white trucks) + 23 (silver trucks) = 200 vehicles in total.

To find the experimental probability, we divide the number of red cars by the total number of vehicles:

Experimental Probability = Number of Red Cars / Total Number of Vehicles

Experimental Probability = 45 / 200

This simplifies to:

Experimental Probability = 0.225 or 22.5%

Therefore, the experimental probability that the next vehicle that comes on the lot will be a red car is 22.5%.

Answer:

She pulls 5 blue marbles

Step-by-step explanation:

Let x be the number of blue marbles

We are given that In her  experiment, she finds that she is twice as likely to pull a red marble as a blue  marble.

So, Number of red marbles = 2x

We are given that Marcia pulls 10 red marbles

So, [tex]2x = 10[/tex]

[tex]x =\frac{10}{2}[/tex]

x=5

Hence She pulls 5 blue marbles

Answer:

Second Option: Only the count of bacteria 2 is changing exponentially.

Answer:

A) 8 and 3

B) no change

C) 10.3

Answer:

OK, well, I believe that the answer is 3 5/8.

And for the equation, try 3 + 3/8 + 2/8

Hope this was helpful :)

STAY SAFE!! :D

Answer: I will try my best to help, just let me know if this is wrong.

Step-by-step explanation: Subtraction and Addition are related to one another in the way that they both change the initial value of a particular number, by acting upon it with another number. Subtracting something and Adding something both end in the overall decrease or increase (change in value) of a number. Sorry if this didn't help, but if its due tomorrow I at least wanna try.

Answer:

it is B i hoped i helped`

As per the given table of values, we have identified that the function that is most likely increasing quadratically is f(x).

Let's examine the given values in the table:

x f(x) g(x)

1 3 3

2 6 9

3 9 27

4 12 81

5 15 243

For a quadratic function, the differences between consecutive values of f(x) should increase by a constant amount. Let's calculate the differences between consecutive f(x) values:

x f(x) Difference (∆f(x))

1 3

2 6 6 - 3 = 3

3 9 9 - 6 = 3

4 12 12 - 9 = 3

5 15 15 - 12 = 3

The differences (∆f(x)) between consecutive f(x) values are constant and equal to 3. This indicates that the function f(x) is increasing quadratically.

Now, let's examine the differences between consecutive g(x) values:

x g(x) Difference (∆g(x))

1 3

2 9 9 - 3 = 6

3 27 27 - 9 = 18

4 81 81 - 27 = 54

5 243 243 - 81 = 162

The differences (∆g(x)) between consecutive g(x) values are not constant; they are increasing exponentially. This suggests that the function g(x) is increasing exponentially.

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Answer:

50ft

Step-by-step explanation:

Answer:

[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]

And we want this probability:

[tex] P(z<-1.991)[/tex]

And using the normal standard distribution or excel we got:

[tex] P(z<-1.991)= 0.0233[/tex]

And the best option would be:

D 0.0233

Step-by-step explanation:

For this case we have the following parameters:

[tex] \mu = 1.37, \sigma =0.67[/tex]

And we select a sample size of n=13. And we want to find this probability:

[tex] P(\bar X <1)[/tex]

We can assume that the distribution for this case is normal and then we can use the z score formula given by:

[tex] z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And if we replace the data given we got:

[tex] z = \frac{1-1.37}{\frac{0.67}{\sqrt{13}}} = -1.991[/tex]

And we want this probability:

[tex] P(z<-1.991)[/tex]

And using the normal standard distribution or excel we got:

[tex] P(z<-1.991)= 0.0233[/tex]

And the best option would be:

D 0.0233

The student's question addresses the probability of selecting marbles of specific colors from a bag, which involves using combinatorics and probability theory, such as hypergeometric and multinomial distributions, for calculation.

The student's question pertains to the calculation of the probability of selecting marbles of a certain color from a bag, given a total number of marbles and the number of marbles of each color. The problems require knowledge of combinatorics and probability theory to solve.

Example 1

If a bag contains 50 marbles and 15 of them are green, the probability of choosing exactly 3 green marbles out of 10 selected can be calculated using the hypergeometric distribution. This involves using combinations to find out how many ways 3 green marbles can be chosen from 15, and how many ways 7 other marbles can be chosen from the remaining 35. These results are then divided by the number of ways to choose any 10 marbles from 50.

Example 2

When considering a bag with different colored marbles and drawing without replacement, the probability changes after each draw because the composition of the bag changes. The probability of drawing two specific colors in sequence requires multiplying the probability of drawing the first color with the probability of drawing the second color after the first has been removed.

Example 3

In scenarios where marbles are replaced after drawing, like with James and the blue and white marbles, the probability remains the same for each draw because the composition of the bag does not change.

Example 4

The multinomial distribution is used when we want to find the probability of a combination of outcomes happening over a series of events, such as drawing different color marbles a certain number of times with replacement.

Answer: c

Step-by-step explanation:

Took i

the test

All values above 48 are in the solution set, so everything to the right of the circle is shaded, the correct option is C.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x be the height required for the ride.

Guests must be at least 48 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 48.

x ≥ 48

Since, 48 is included in the solution set, therefore there is a closed circle at 48.

All values above 48 are in the solution set, so everything to the right of the circle is shaded.

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