find the value of the variable in the equation 1/2(x+8)-15=-3

Answers

Answer 1

Step-by-step explanation:

1/2x + 4 - 15 = - 3

1/2x - 11 = - 3

1/2x = - 3 + 11

1/2x = 8

x = 8-1/2

x = 7.5


Related Questions

Gerardo spins a spinner with four equal sections, labeled A, B, C, and D, twice. If letter A is spun at least once, Gerardo wins. Otherwise, Odell wins. Use a list to find the sample space. Then find the probability that Odell wins.

Answers

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.

2 people can plough a field in 6 hours.
a)
How long would it take 1 person to plough the field?
b)
How long would it take 3 people to plough the field?​

Answers

B is the answer because it’s the one that makes most sense

what is 0.07 as a percent

Answers

Answer:

7%

Step-by-step explanation:

To work this out you would simply multiply 0.07 by 100, which gives you 7. This is because percentages are out of 100.

Answer: 7%

Step-by-step explanation:

There are 28.35 g in an ounce and 2.21 lb in a kilogram. Juanita converts 3 kilograms to ounces. Is her conversion correct? Explain.

Answers

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

If the scale factor of Figure A to Figure B is 3:8, find the value of x.

Answers

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.

Learn more about proportion here:

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A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

Answers

Answer:

0.027 to the nearest thousandth.

Step-by-step explanation:

There are 14 marbles in the bag, so:

Prob( a blue on the first draw) = 5/14.

Prob( a blue on the 2nd draw) = 4/13.

Prob( a blue on the 3rd draw) = 3/12 = 1/4.

So the required probability is 5/14 * 4/13 * 1/4

= 20/ 728

= 0.02747.

Final answer:

To calculate the probability of drawing three blue marbles without replacement, multiply the probabilities of drawing a blue marble in each draw. The final probability to the nearest thousandth is approximately 0.043.

Explanation:

To find the probability that all three marbles drawn will be blue, we use the formula for calculating the probability of successive independent events (drawing without replacement). We calculate the probability of drawing a blue marble each time and then multiply these probabilities together.

The probability of drawing the first blue marble: P(B1) = 5/14 (since there are 5 blue marbles out of 14 total marbles).After drawing the first blue marble, there are now 4 blue marbles and 13 total marbles left. Thus, the probability of drawing the second blue marble: P(B2 | B1) = 4/13.After drawing the second blue marble, there are 3 blue marbles and 12 total marbles left. The probability of drawing the third blue marble: P(B3 | B1 and B2) = 3/12 or 1/4.To get the overall probability of drawing three blue marbles in a row, we multiply these individual probabilities together: P(all three blue) = P(B1) * P(B2 | B1) * P(B3 | B1 and B2) = (5/14)*(4/13)*(1/4).

Calculating this, we get approximately 0.043 when rounded to the nearest thousandth. So, the probability that all three marbles drawn will be blue is 0.043.

Objective: Students develop expressions involving addition and subtraction from real-world problems. Students evaluate these expressions for given values. Directions: Please answer the following prompt in the discussion. Feel free to respond to one peer after your initial response. How are addition and subtraction expressions related to one another? giving 5 stars, 5 points, and brainliest. due by thursday night. ty!

Answers

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.

On October 1, Bandor Company sold land (that cost $30,000) on credit for $35,000. The buyer issued an 8%, 12-month note for this amount, with the interest to be paid on the maturity date.

Answers

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)  

I need help with 5 and 6!I WILL MARK YOU BRAINLIEST!!!

Answers

Answer:

5 right triangle

6 not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = 13^2

25+144 = 169

160 = 169

This is true so this is a right triangle

15^2 +16^2 = 18^2

225 +256 = 324

481 does not equal 324

This is not a right triangle

Answer:

5. Yes

6. No

Step-by-step explanation:

5. 13² = 12² + 5²

169 = 144 + 25

169 = 169

Satisfies pythagoras theorem, so it is a right angle triangle

6. 18² = 16² + 15²

324 = 256 + 225

324 = 481 (false)

Doesn't satisfy the pythagoras theorem, so it is not a right angle triangle

40 points and will mark brainliest

Answers

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

The answer is 3 5/8. I think

Find the area of the trapezoid. If the answer is not an​ integer, leave it in simplest radical form. The figure is not to scale.

Answers

We have been given an image of a trapezoid. We are asked to find the area of the given trapezoid.

We will use area of trapezoid formula to solve our given problem.

[tex]A=\frac{1}{2}(a+b)\times h[/tex], where,

A = Area of trapezoid,

a and b = Parallel sides or bases of trapezoid.

h = Height of trapezoid.

We can see that one base is 45 feet. The other base would be 45 plus 15 feet that is [tex]45+15=60[/tex].

Now we will use Pythagoras theorem to find the height of the trapezoid as:

[tex]h^2=17^2-15^2[/tex]

[tex]h^2=289-225[/tex]

[tex]h^2=64[/tex]

[tex]\sqrt{h^2}=\sqrt{64}[/tex]

[tex]h=8[/tex]

[tex]A=\frac{1}{2}(45+60)\times 8[/tex]

[tex]A=(105)\times 4[/tex]

[tex]A=420[/tex]

Therefore, the area of the given trapezoid is 420 square feet.

If a reporter for your local newspaper conducts a survey on music preference and only asks people leaving a country music concert, explain why this is a biased sample.

Answers

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.


​Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,

2 marbles are green, 18 marbles are clear, and 7 marbles are striped. Click and drag

the letters onto the probability scale to order the likelihood that the event will happen.

Answers

Final answer:

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.

Explanation:

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.

A scientist is working with 9 meters of gold wire. How long is the wire in millimeters?
Be sure to include the correct unit in your answer.

Answers

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)

helpppppppppppppppppppp me plz i need this now helppp me

Answers

Answer:

1.)4/9

2.)4

3.)9

4.)1/2

5.)-2/9

6.)-1

7.)1

8.)7/4

Step-by-step explanation:

Hope this helped stay safe!!!

Which decimal is equivalent to 8.11 ? A. 0.72 B. 0.72 C. 0.88 D. 0.88

Answers

Answer:A

Step-by-step explanation:

0.72 is the answer I think

Coach Walker’s cheerleading team needs to raise money to pay for the entry fees to the state competition. There is a $99 team fee plus an individual fee for each cheerleader. Coach Walker found that the individual fees for her 18 cheerleaders will cost a total of $818.82. Which inequality can be used to find m, the least amount of money each cheerleader needs to raise in order to pay for both the team and individual entry fees?

Answers

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.

What’s 637/1000 simplified ????

HURRY!!!

Answers

Answer:

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

Step-by-step explanation:


Rewrite 0.62 as a fraction in lowest terms.

Answers

Answer: 31/50

Step-by-step explanation: 0.62= 62/100. After we must find the Greatest Common Factor which is two.

62/2=31  100/2=50

Answer:

31/50

Step-by-step explanation:

A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does the ladder reach

Answers

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

Prices were recorded for all the loaves of bread in a supermarket, the mean price for a loaf of bread was $1.37 with a standard deviation of $0.67, Find the probability that if 13 loaves are selected the mean price is less than $1.00.


A 0.0032


B 0.5643


C 0.9105


D 0.0233

Answers

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

please help!! THIS IS 40 points for you to answer them for me!!!

Answers

Answer:

A) 8 and 3

B) no change

C) 10.3

Estimate the square root 62 to the nearest integer!!!

Answers

Answer: 8

Step-by-step explanation: 7.874007874011811 rounded is 8

Answer:

Step-by-step explanation:

If you don't want to use a calculator, then you must know your square roots

The first step is to think, "what is the closest number to 62, that when squared rooted, it would be a whole number?"

The closest numbers would be 49 (square root is 7)and 64 (square root is 8). But 64 is wayyy closer so by knowing the square root, you can work your way down to solve.

So you know that the square will inevitably be a decimal, and that the whole number will have to be 7 ( it can't be 8 because then it'll be higher than 64) and the decimal would have to be really high, like in between 5 and 9 bc 62 and 64 are really close.

Now this is just an estimate is it doesn't have to be exact. but I'm guessing the root would be around 7.8ish (rounded to nearest tenth)

but you can have a different answer, maybe closer :)

** if anything didn't make sense pls tell me !

Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw?

Answers

Answer:

8

Step-by-step explanation:

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

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!

:)


PLEASE HELP ASAP BRAINLIST AND 15 points

The table below shows the values of f(x) and G(x) for different values of X one of the functions is a quadratic function and the other is an exponential function which function is most likely increasing quadratically

Answers

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.

To know more about function here

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guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. which graph represents the set of heights in inches that satisfy this requirement ​

Answers

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.

What is graph?

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.

Learn more about graph

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6x - 8y - 5x + 3y so please tell me the answer.
thanks

Answers

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 :)

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

Answers

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:

Solve 2x² = 72 for x.

Answers

Answer:

72

Step-by-step explanation:

Divide x2 x 2 by 1 1 . Divide 72 72 by 2 2 . Take the square root of both sides of the equation to eliminate the exponent on the left side. The complete solution is the result of both the positive and negative portions of the solution.

The answer is 6. Decide both sides by two which gets you x squared equals 36 and then take the square root which gets you x equals 6
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