A=1/2h(a+b), solve for a

Answers

Answer 1

Step-by-step explanation:

2A=h(a+b)

2A=ha+hb

2A-hb=ha

2A-hb/h=a

Answer 2
Multiply by 2 on both sides to get:
2A = h(a + b)

Divide by h on both sides to get:
2A/h = a + b

Subtract b from both sides to get:
(2A/h) - b = a

Related Questions

According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.

Answers

Answer:

I think its B

Step-by-step explanation:

Forgive me if I am wrong, give me brainliest if I am right!

Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12

Answers

Long polynomial division ~
Answer-
B. 8x2-4x+12

the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.

Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?

Answers

Answer:

Total money made is $597, $489 from hardbacks and $108 from paperbacks.

Step-by-step explanation:

$3 x 163= $489

$2 x 54= $108

total $= 3(163)+2(54)

total $= 489 + 108

total $ = 597

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

15

Step-by-step explanation:

15 is your answer Hope this helped

PLEASE HELP! DUE TODAY!

Answers

Answer:

D. y=x-10

Step-by-step explanation:

Answer: C

Step-by-step explanation: Subtract X from both sides, you will have

Y= -x+10

Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .

Answers

Answer:

9 > 10

Step-by-step explanation:

90 = 9

100 = 10

answer = 9.10

y= -2x - 45. solve for x if y = -10

Answers

Answer:

-17.5

Step-by-step explanation:

-10 = -2x - 45

(add 45 on both sides)

35 = -2x

(divide both sides by -2)

x = -17.5

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

The probability is   [tex]P(X  >300 ) = 0.97219 [/tex]

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    [tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

    [tex]\mu  =  n*  p[/tex]

  => [tex]\mu  =  320 *  0.96[/tex]

    => [tex]\mu  = 307.2[/tex]

Generally the standard deviation is  

    [tex]\sigma =  \sqrt{n *  p *  (1 -p ) }[/tex]

=>  [tex]\sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  [tex]P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )[/tex]

=>[tex]P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )[/tex]

Now applying  continuity correction we have

    [tex]P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )[/tex]    

=>    [tex]P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )[/tex]

=>    [tex]P(X  >300 ) =  P(Z >  -1.914 )[/tex]

From the z-table  

    [tex]P(Z >  -1.914 ) =  0.97219[/tex]

So

    [tex]P(X  >300 ) = 0.97219 [/tex]

A rectangle has a length of 2x+1 and a width of 3x-2.
Write an expression for the area of the rectangle.​

Answers

Answer:

(2x+1)x(3x-2)

Step-by-step explanation:

area  of rectangle = length * width

length = 2x+1

width = 3x-2

area = (2x+1) x (3x-2)

Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?

45x – 100 = 370

45x + 370 = 100

45x + 100 = 370

45x – 370 = 100
Explain how you got the answer please

Answers

the answer would be 45x + 100 = 370

45 is a rate that increases based on the variable that is unknown so it would be 45x

100 is only being added once so there is no variable needed

we know that 370 is the total number so the 45x and the 100 combined would equal 370

I really need help real quick !

Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.

Answers

B is the answer and u can use it

The mentioned parallelogram is a rhombus.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

A parallelogram is a square and a rhombus is a square.

However, not all parallelograms are rhombuses, and not all rhombuses are squares.

A parallelogram has two pairs of adjacent sides that are congruent.

The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.

We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.

Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.

Learn more about parallelogram here:

brainly.com/question/11220936

#SPJ5

3x+15=24 what is the x equal too

Answers

Answer:

x is equal to -1/3

hope this helps

Answer: I'm pretty sure x = 3

Step-by-step explanation: 3 times 3 = 9. 9 + 15 = 24. And when I solve for x it equals 3.

Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i

Answers

Answer:

24 pg per hour

Step-by-step explanation:

Divide 312 by 13, and the result will be 24. Hope it helps!

Answer:

24

Step-by-step explanation:

QUESTION:
An airplane flies with a constant speed of 660 miles per hour. How long will it
take to travel a distance of 2475 miles?

Answers

Answer:

5643

Step-by-step explanation:

you add them together then you divide  

can you please help me ​

Answers

Answer:

14

Step-by-step explanation:

cause both are congruent which means the same size if one has 14 why shouldnt the other too

How do you Subtract 9x^2 + 22x - 46 from 12x^2 - 8x + 12.

Answers

Subtract the [tex]x^2[/tex] terms from each other, then the [tex]x[/tex] terms, then the ones without any [tex]x[/tex] whatsoever.

[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]

First, we'll subtract [tex]9x^2[/tex] from [tex]12x^2[/tex]

[tex]12x^2-9x^2- = 3x^2[/tex]

Result: [tex]3x^2[/tex]

Next, we'll subtract [tex]22x[/tex] from [tex]-8x[/tex]

[tex]-8x - 22x = -30x[/tex]

Result: [tex]-30x[/tex]

Finally, we'll subtract [tex]-46[/tex] from [tex]12[/tex]

[tex]12-(-46) = 12+46 = 58[/tex]

Result: [tex]58[/tex]

Now, we can add these 3 results together.

First, we had [tex]3x^2[/tex], then [tex]-30x[/tex], and finally [tex]58[/tex].

Thus, our subtraction of

[tex](12x^2 - 8x + 12) - (9x^2 +22x-46)[/tex]

equals

[tex]3x^2-30x+58[/tex]

Construct a line parallel to line m through point x

PLS HELP!!!

Answers

Step-by-step explanation:

hope this helps! just remember the terms and it will get easier

-------×---------

-----------------m

4x + xz + 8 - 4xz- 7z

Answers

Answer: if your trying to simplify it....

−3xz+4x−7z+8 <----- this is your answer

if your trying to factor...

4x−3xz+8−7z <------ is your answer

if Finding the exact value using trigonometric identities.

−3xz+4x−7z+8 <---- is your Answer

I don't know where your going with this....

Step-by-step explanation:

Let's simplify step-by-step.

4x+xz+8−4xz−7z

=4x+xz+8+−4xz+−7z

Combine Like Terms:

=4x+xz+8+−4xz+−7z

=(xz+−4xz)+(4x)+(−7z)+(8)

=−3xz+4x+−7z+8

Answer:

=−3xz+4x−7z+8

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

Answers

Answer:

Responds to my friend

Decision rule

 Fail to reject the null hypothesis

Conclusion

There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian  

Step-by-step explanation:

Here we are going to consider this question

For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.

Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method

From the question the we are told that

     The first sample size is  [tex]n_1 = 380[/tex]

       The second sample size is [tex]n_2 = 205[/tex]

       The number of California residents that are vegetarian is [tex]k = 109[/tex]

       The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]

Generally the sample proportion for California residents is

      [tex]\^ p_1 = \frac{k}{n_1}[/tex]

=> [tex]\^ p_1 =\frac{109}{380}[/tex]

=> [tex]\^ p_1 =  0.2868 [/tex]

Generally the sample proportion for New Hampshire residents is

     [tex]\^ p_2 = \frac{39}{205}[/tex]

=>  [tex]\^ p_2 = 0.1902 [/tex]  

The null hypothesis is  [tex]H_o  :  p_1 -p_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  p_1 -p_2 > 0[/tex]

 Generally the test statistics is mathematically represented  as

[tex]t  =  \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1}  + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]

=> [tex]t  =  \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380}  + \frac{0.1902(1- 0.1902)}{205} } }[/tex]  

=>  [tex]t  =  0.036[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df  =  n_1 + n_2 -2[/tex]

=>    [tex]df  =  380 + 205 -2[/tex]

=>    [tex]df  =  583/tex]

Generally the probability of  [tex]t  =  0.036[/tex] at a degree of freedom of   [tex]df  =  583/tex]  from the t- distribution table is  

      [tex]p-value  =  P(t >  0.036) =  0.48564732[/tex]

Let take the level of significance to be [tex]\alpha = 0.05[/tex]

So from the values obtained we see that  [tex]p-value  >  \alpha[/tex] hence the decision rule is  

   Fail to reject the null hypothesis

The conclusion is

  There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian

Please Help Me With This Math ;(

Answers

On the interval (8,24), the rate of change is 10.625 bacteria per minute.

9: 5.96 dollars per year on the interval (0,9)
10: 6.43 dollars per year on the interval (6,12)

Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y

Answers

Answer:

3x + 10y

Step-by-step explanation:

(5x - 2x) + (5y + 5y)

= 3x + 10y

Answer:

10y + 3x

Step-by-step explanation:

A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?

Answers

Answer:

If there are N students, the total cost will be:

C(N) = $500 + $5*N.

And we want the amount that each student pays to be equal or less than $15.

then:

C(N)/N ≤ $15.

Then the inequality that represents this situation is:

($500 + $5*N)/N ≤ $15.

Now, let's solve this:

($500 + $5*N) ≤ $15*N

$500 ≤ $15*N - $5*N

$500 ≤ $10*N

$500/$10 ≤ N

50 ≤ N

So the minimum number of students needed is 50.

The shapes below are similar. What does x have to be?

Answers

I think it is 3.5
if 8 is divided by 4, you get two since they are the same shape, 14 should be divided by 4 as well which is 3.5

How can you do a story from this equation:3+(4x12)

Answers

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!


Express the percent as a decimal.
154%

Answers

Answer:

1.54 as a decimal

154 divided by 100 to get 1.54

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is
the slope-intercept form of the equation for this line?
O y= {x+ 2
O y={x-4
oyufx &
O y=2x-Ź

Answers

Answer:

Step-by-step explanation:

The answers is A

Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?

Answers

Simple Answer

Nancy and Libby will have the same amount on week ten.

Expiation

you can dived, repetitive subtraction, or use a number line(s) to get the same answer.

Help APSPPP!!!!!!!!!!!! Hurry

Answers

Answer: Linear Pair, 23 degrees

Step-by-step explanation:

So I checked all of the answers and noticed that 23 was the only valid value for X because it means both values add up to 180. This is a linear pair because both angles are separated by another line and are on a straight 180 degree line.

A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3

Answers

A.
11+3 then minus 20

Answer:

A

Step-by-step explanation:

justin walk 5 kilometer and he turn right and he swim 35 meters why the apple is red?​

Answers

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking

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