use the set of clues in the equations below to find the value of each variable .
x + h + b = 14
2 * b = 12
h - x = 2
please help me out thank you!

Answers

Answer 1
There are many ways to solve this problem. All you have to do is simple algebraic manipulation. Solve for b and h with the two simpler equations:
2b = 12; divide 2 on both sides to get b = 6
h - x = 2; add x to both sides to get h = (2 + x)

Plug this stuff into the first equation to solve for x. Once we solve for x, we can plug that x value into the equation for h. Because you can see we didn’t get an actual numerical value for h. So:
x + (2+x) + 6 = 14
Subtract 6 from both sides and distribute that plus sign to get rid of the parenthesis. Then combine the like terms to get:
2x + 2 = 8
Subtract 2 from both sides and divide by 2 to get x = 3

Finally plug it into the equation for h:
h = 2+3 = 5

Related Questions

Jason ordered 239,021 pounds of flour to be used in his 25 bakeries . The company
Delivered the flour showed up with 451,202 pounds how many extra pounds of flour
Were delivered

Answers

So, it says that he ordered 239,021 pounds of flour, but they delivered 451,202 pounds. You are going to subtract the delivered amount to the ordered amount.

451,202 - 239,021 = _________

_________ = The Extra Amount Delivered

451,202 - 239,021 = 212,181

That means, that they had delivered 212,181 extra pounds of flour.

Mr. Arnold drives 130 miles round trip to work 5 days a week. Write and solve an equation to find how many miles he drives in 60 work days. O A. 130 x 5 x 60 = 34,000 miles OB. 130 x 60 : 5 = 136 miles O C. 130 x 60 = 68,000 miles OD. 130 x 60 7,800 miles​

Answers

Answer:

The answer is D.

Step-by-step explanation:

130 x 60 = 7,800 miles.  you don't need the extra information "5 days a week" to solve the problem.  

The equation is y = 26x and the number of miles he drives in 60 work days will be 1560 miles. Then the correct option is B.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Mr. Arnold drives 130 miles round trip to work 5 days a week.

Let x be the number of weeks and y be the total number of miles. Then the equation is given as,

y = 130x

y = 26x

Then the number of miles he drives in 60 work days will be

y = 26 (60)

y = 1560 miles

The equation is y = 26x and the number of miles he drives in 60 work days will be 1560 miles. Then the correct option is B.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Which information can always be read directly from an equation written in point-slope form?
-The location of a point on the line.
-The location of the y-intercept.
-The location of the 2-intercept.
-The location of 2 (x, y) coordinate points.

Answers

Answer:

The location of a point on the line

Step-by-step explanation:

Generally, we can write an equation in the point slope form as follows;

y-y1 = m(x-x1)

Where m is the slope of the line

So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.

We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line

1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre?​

Answers

Let , side lawn is a.

Area of boundary is :

[tex]A=4\times5\times a\\\\A=20a\ m^2[/tex]

Now, total cost is given by :

[tex]T=20a\times 36.25\\\\90625=725a\\\\a=125\ m[/tex]

Area left is :

[tex]A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2[/tex]

Price to empty space with turfs is :

[tex]P=A'\times 20\\\\P=13125\times 20\\\\P=262500[/tex]

Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.

Hence, this is the required solution.


What percent of 821 is 25?

Answers

Answer:

%3.05

Do 25/821 and you should get around 3.05

Determine the number of acute, obtuse, and right angles in the shape above.

Answers

Answer:

Step-by-step explanation:

You should never be given a question that has a diagram that looks  like it could be so.

That being said there is

1 obtuse angle (lower left)

1 right angle (top right)

2 acute angles (the two angles that are left).

Answer: BRAINLIEST???

1 right

2 acute

1 obtuse

Step-by-step explanation:

A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.

The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10?

a.) $46.25

b.) $36.25

c.) $56.25

d.) $26.25

Answers

Answer:

D: $26.25 I just took the assessment and got it right

Which equation has a graph that is a parabola with a vertex at (5, 3)?

Answers

Answer:

y = a(x² - 10x + 25) + 3

Step-by-step explanation:

From standard form of an equation, of a parabola, we have;

y = a(x - h)² + k

We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)

Thus;

y = a(x - 5)² + 3

y = a(x² - 10x + 25) + 3

Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;

y = a(x² - 10x + 25) + 3

Answer:

A. y = (x - 5)2 + 3

Step-by-step explanation: edge2021

You can talk on the phone y minutes on day x of month according to the equation y=2x+1 the cell phone company clams you talked 12 minutes on the phone on the fourth day of the mouth are they right

Answers

Answer: They are wrong

       

Step-by-step explanation: x is given a value in the problem. Since x equals 4,  We plug x into the equation.  

y = 2(4) + 1

Y is actually equal to 9 minutes, not twelve.

PLEASE HELP ME!! What is 3,200 as a product of its factors?? This for 6th grade

Answers

Answer:

3,200 is first divided by 2 which is smallest prime number . Then the answer is get 1,600 . Again this number is divided by 2 then answer is 800 . This step is continues for all time . So , it is again divided by 2 then answer comes 400 then divided answer comes 200. Then again divided by 2 then answer is 100 and again divided by 2 then answer is 50 again divided by 2 then answer is 25. now we cannot divided by 2 this number 50. Then what to do? we have to use prime number .so we have to divided by 5 then answer is 5. In last ,for checking we have to multiply all this prime number to check this answer.

The zookeeper needed a new uniform for work. He bought his hat for $26.92, his shirt for $54.73, and his pants for $33.28. How much did he spend?

Answers

114.93 because when you add them you get that answer

please help me with this​

Answers

Answer:

The answer would be C

Step-by-step explanation:

In order to do this. We have to add the exponents if they are in this form

6^2*6^2

Multiply the exponents if it is in this form

(6^16)^28

Subtract the exponents if it is in this form

2^9/2^4

please mark brainliest

Carla can fill 555 glasses with soda every 202020 seconds.
Complete the table using equivalent ratios.
Glasses Seconds
555 202020
121212
4444

Answers

Answer:

[tex]\left[\begin{array}{ccc}5&20\\12&48\\4&16\end{array}\right][/tex]

Step-by-step explanation:

Carla can fill one glass in 4 seconds

Classify the system of equations.
-3x = 3 - y
-1+y= 3x – 2

A. Intersecting
B. Parallel
C. Coincident

Answers

Answer: B. Parallel

============================================================

Explanation:

Solve each equation for y. In other words, get y by itself

Let's start with the first equation

-3x = 3 - y

-3x - 3 = -y

-y = -3x-3

y = 3x+3

Do the same for the second equation

-1+y = 3x-2

y = 3x-2+1

y = 3x-1

The two equations we got were

y = 3x+3

y = 3x-1

Both have the same slope (m = 3) but different y intercepts, so we have parallel lines here.

Which is GREATER?

2^7 or 7^2

Answers

Answer:

[tex]2^7[/tex]

Step-by-step explanation:

[tex]2^7=2\times 2\times 2\times 2\times 2\times 2\times 2=128[/tex]

[tex]7^2=7\times 7=49[/tex]

Since [tex]128>49, 2^7\ is\ greater\ than\ 7^2[/tex]

Answer:

I'm pretty sure 7/2 is greater

Step-by-step explanation:

Its a improper fraction, therefore its bigger then a regular fraction.

I'm also a idiot

Multiply. Simplify your answer and write it as a mixed number. 6* 3/5

Answers

Answer: 3 3/5 please let me know if this answer is wrong :(

In Oak Hill, Florida, 90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days. A local hotdog vendor makes, on average, $300 on sunny days and $100 on cloudy days. Assume you want to build a Markov model that you can use to answer questions b., c., d., and e. below. a. Define the states of the system and give the one-step transition probability matrix. b. If today is sunny, what is the probability it is sunny 5 days from now

Answers

Answer:

a)  Sunny     Cloudy

T = [  0.9        0.2  ]  Sunny

     [  0.1         0.8  ]  Cloudy

b) 0.72269

Step-by-step explanation:

Given that;

90% of all sunny days are followed by sunny days while 80% of cloudy days are followed by cloudy days;

i.e if today is sunny (90%), the next day is sunny so its 10% cloudy

and if today is cloudy (80%), the next day is cloudy so its 20% sunny

a)

Now let T be the transition probability matrix which is expressed as;

     Sunny     Cloudy

T = [  0.9        0.2  ]  Sunny

     [  0.1         0.8  ]  Cloudy

b)

If today is sunny, to find the probability that it will be sunny in 5 days from now = P^5.x where x = [ 1 ] sunny

                                     [ 0 ] cloudy

so

p^5X = P.P.P.P.P.x

P.x = [ 0.9    0.2 ] [ 1 ]  = [ 0.9 ]

        [ 0.1     0.8 ] [ 0 ]    [ 0.1 ]

(P^2).x = [ 0.9    0.2 ] [ 0.9 ]  = [ 0.83 ]

              [ 0.1     0.8 ] [ 0.1 ]      [ 0.17 ]

(P^3).x = p(p^2)x = [ 0.9    0.2 ] [ 0.83 ]  = [ 0.781 ]

                              [ 0.1     0.8 ] [ 0.17 ]      [ 0.219 ]

(P^4).x = p(p^3)x =  [ 0.9    0.2 ] [ 0.781 ]  = [ 0.7467 ]

                               [ 0.1     0.8 ] [ 0.219 ]    [ 0.2533 ]

(P^5).x = p(p^4)x =  [ 0.9    0.2 ] [ 0.7467 ]  = [ 0.72269 ]

                               [ 0.1     0.8 ] [ 0.2533 ]    [ 0.27731 ]

so (P^5).x = [ 0.72269 ] sunny

                   [ 0.27731 ]  cloudy

therefore the probability that it is sunny 5 days from is 0.72269

Compare using >, <, or =

3,219 and 9,003

Answers

Answer:

9,003 > 3,219

Step-by-step explanation:

9,003 is larger than 3,219

An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height 2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.
A. What is the probability that a randomly selected adult is either overweight or obese?
B. What is the probability that a randomly selected adult is neither overweight or obese?
C. Are the events "overweight and "obese" exhaustive?

Answers

Answer:

(A) The probability that a randomly selected adult is either overweight or obese is 0.688.

(B) The probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C) Yes, the events "overweight" and "obese" are exhaustive.

Step-by-step explanation:

We are given that an adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater.

According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese.

Let the event , A = a person is overweight

B = a person is obese.

So according to the question;

The probability that an adult population in the United States is overweight = P(A) = 0.331

The probability that an adult population in the United States is obese = P(B) = 0.357

(A)  As we know that the events of a person being overweight or obese cannot occur together.

This means P(A ∩ B) = 0.

Now, the probability that a randomly selected adult is either overweight or obese is given by = P(A [tex]\bigcup[/tex] B)

         P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A ∩ B)

                        = 0.331 + 0.357 - 0

                        = 0.688

Hence, the probability that a randomly selected adult is either overweight or obese is 0.688.

(B)  Now, the probability that a randomly selected adult is neither overweight nor obese is given by = P(A' [tex]\bigcup[/tex] B')

              P(A' [tex]\bigcup[/tex] B') = 1 - P(A [tex]\bigcup[/tex] B)

                              = 1 - 0.688 = 0.312

Hence, the probability that a randomly selected adult is neither overweight nor obese is 0.312.

(C) Exhaustive events are those events which  cannot occur together, but they form a sample space when combined together.

In our question also, the person can't be both overweight and obese at the same time, and together the event of a person being overweight or obese forms a sample space of people who are heavier.

Hence, the events "overweight" and "obese" are exhaustive.

A- 0.688.

B- 0.312.

C- yes

what is the length of pr​

Answers

Answer:

Answer: C. 6

Trust

Use the binomial probability
distribution below to find the
probability that the number of successes is at most five.
x P(x)
00.000
10.004
2 0.033
3 3 0.132
40.297
50.356
6 0.178

Answers

Answer:  0.822

===================================================

Method 1

Add up the P(x) values from x = 0 to x = 5

0.000+0.004+0.033+0.132+0.297+0.356 = 0.822

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

Method 2

If A and B are complementary events, then P(A)+P(B) = 1 and that leads to P(B) = 1-P(A).

We can think of the events defined as follows

A = event of getting at most 5 (ie 5 or less)B = event of getting 6

Either A or B must happen, but not both simultaneously

P(B) = 0.178 from the table

P(A) = 1-P(B)

P(A) = 1-0.178

P(A) = 0.822

which is a shortcut compared to method 1. It's a much faster shortcut the larger the table is.

I’m not sure if my answer correct. If you can please help me.

Answers

Two Answers:  -5, 8/3

=====================================================

Explanation:

We cannot divide by zero.

To figure out when the expression is undefined, set the denominator equal to zero and solve for z.

The quadratic formula is the best route in my opinion.

[tex]6z^2+14z-80 = 0\\\\z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-14\pm\sqrt{14^2-4(6)(-80)}}{2(6)}\\\\z = \frac{-14\pm\sqrt{2116}}{12}\\\\z = \frac{-14\pm46}{12}\\\\z = \frac{-14+46}{12} \ \text{ or } \ z = \frac{-14-46}{12}\\\\z = \frac{32}{12} \ \text{ or } \ z = \frac{-60}{12}\\\\z = \frac{8}{3} \ \text{ or } \ z = -5\\\\[/tex]

Plugging in either z = 8/3 or z = -5 leads to the the denominator 6z^2+14z-80 to be zero. So either of these z values makes the given rational expression to be undefined.

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an Aon the test, and 35% of the class are
girls and scored an A on the test.
If a student is chosen at random and is found to be a girl, the probability that the student scored an Als

Answers

Total percentages of student who scored As
= 25+35= 60%
Probability of a girl who got A = 35/60
If you simplify the ans will be 7/12

The string that produces the lowest tone on a piano vibrates 87 times in 3 seconds. How many times would this string vibrate in 12 seconds?

Answers

Answer:

21.75

Step-by-step explanation: 87 x 3  * 12

What is the ratio of the number of steps to the number of minutes?

Answers

Answer:

15-20 minutes - 1 mile or 100:1

Step-by-step explanation:

so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.

What's something that could go wrong if you use numbers that are not precise?​

Answers

Answer:

There are a lot of things that can go wrong, especially when we have an error in a measure that we use a lot of times (each time, that error increases).

For example, you think that each meter of fence costs $5, but the actual price is $5.30, and you need 40 meters, then you think that you may need to pay:

40*$5 = $200

But they will actually charge you:

40*$5.30 = $212.

Now this is a small example, now let's go to medicine, suppose that you want to trait cancer with radiation in a pacient, if you do not use precise measures for the dosage of radiation or the measures of the tumor, you may cause a lot of damage in the patient. (And similar cases if you want to give some medication and the numbers that you use are not precise, you may overdose the patient)

So the use of precise numbers may be critical in a lot of scenarios.

Maria solved an equation as shown below. 3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.

Answers

Answer:

19

Step-by-step explanation:

The value of the x will be 19. Then Maria solved an equation correctly.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

3(x + 6) = 5(x – 4)

Maria solved an equation as shown below.

3 (x + 6) = 5 (x – 4)

 3x + 18 = 5x – 20

        38 = 2x

         19 = x

           x = 19

Then Maria solved an equation correctly.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Carlos is two-thirds of his grandfather's height. If his grandfather is 6 feet tall, how tall is Carlos?

Answers

Answer:

4 feet

Step-by-step explanation:

geratgertregd hifbuwegftyfvjhwdgfuyguawebbfigigaibahg87ehrbguv bhrbguyghu

Answers

Answer:

Whaaaa?

Step-by-step explanation:

lol ;)

The volume of a cubic cardboard box is 125/8 ft3.


The length of each side of the cardboard box is______

ft.

Answers

Answer:

The answer is

[tex] \frac{5}{2} \: \: \: feet \\ [/tex]

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

[tex]V = \frac{125}{8} \: {ft}^{3} [/tex]

The length of each side of the cardboard box is

[tex] {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} [/tex]

We have the final answer as

[tex] \frac{5}{2} \: \: \: feet \\ [/tex]

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

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