12. The second of three numbers is one less than the first. The third
number is 5 less than twice the second. If the third number exceeds the
first number by 12, find the three
numbers.

Answers

Answer 1

Answer:

The three numbers are 19, 18, and 31.

Step-by-step explanation:

The three numbers are x, y, and z.

y=x-1

z=2y-5

z=x+12

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

y=18

z=31

Answer 2

The three numbers are 19, 18 and 31

what is Algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

let the three numbers be x, y, and z.

So, according to question

The second of three numbers is one less than the first,

y = x-1

The third number is 5 less than twice the second,

z=2y-5

also, If the third number exceeds the first number by

12z=x+12

Now, equating the equations

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

So, y=18 and z=31.

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Related Questions

bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?

Answers

Answer:

12.55

Step-by-step explanation:

Subtract 20 by 7.45

The required amount bob will get in return is given as $12.55.

Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
total nill = $7.45
Total money given  = $20
Change to return = 20 - 7.45 = $12.55

Thus, the required amount bob will get in return is given as $12.55.

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1. What is -2y + 10 + 2y - 8 simplified?

Answers

Answer:

2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

-2y + 10 + 2y - 8

Step 2: Simplify

Combine like terms (y):                         10 - 8Combine like terms (constants);           2

Answer:

Step-by-step explanation:

-2y + 10 + 2y - 8 = 20 - 8 = 2

In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.

Answers

Answer: ABC, ACD, CBD

Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.

The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

What is the right triangle:

It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry

Therefore, The triangles that should be similar to triangle ABC is  ABC, ACD, CBD.

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PLEASE HELP find the sins of z

Answers

Answer:

It's easy

Step-by-step explanation:

Check the attachment for your answer

At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?

Answers

Answer:

$14.22

Step-by-step explanation:

step one:

given data

we are told that 2 1/4( 2.25 pound) of candy cost $8

let us find the cost of 1 pound first

so

2.25 pound cost  #8

1 pound will cost x

cross multiply

x=8/2.25

x=$3.55 for one pound.

step two:

Hence  if 1 pound cost $3.55

4 pound will cost = 3.55*4= $14.22

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?

1. 2x + 2

2. 3x + 4

3. 6x + 8

4. 8x + 8 – 2x

Answers

Answer:

2.        3x + 4

Step-by-step explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter  p =2(L+W)

8x+8 =  2(L+W)

L+W is half, so    

 L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W    

We know that  W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers

Answer:

78.12

Step-by-step explanation:

Answer:

78.12

Step-by-step explanation:

I need help bad please anyone I need this​

Answers

Answer:

The answer is A because 144 - 121 = 23 so

Step-by-step explanation:

because 144 - 121 = 23

Equation parallel y= -3 also passes through the point (2,5)

Answers

Answer:

When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).

To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5

Step-by-step explanation:

Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.

Answers

The input would be 7
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7

Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.

Answers

Answer:

Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75

The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.

Given :

Number  ---  75

The following steps can be used in order to determine the 45 percent of 75:

Step 1 - The unitary method can be used in order to determine the 45 percent of 75.

Step 2 - According to the given data, the given number is 75 which is 100%.

Step 3 - So, if 100% is 75 then the value of 45% is:

[tex]=\dfrac{45}{100}\times 75[/tex]

Step 4 - Simplify the above expression.

= 33.75

Therefore, the correct option is A).

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F(x) = (4x–5)/6
Find the Inverse

Answers

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y  

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps!  Stay Safe!

Which expression is equivalent and why?

Answers

9514 1404 393

Answer:

  C.  1.15x

Step-by-step explanation:

You are given the expression for the cost:

  x + 0.15x

Combining like terms, this becomes ...

  1.15x . . . . . matches choice C

In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.

Answers

Answer: 50%.

Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense

The probability is given by the equation P = 12.3 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P

Now , the equation will be

Let the probability of selecting a person owing a scooter A = 30 %

Let the probability of selecting a person owing a scooter A = 0.3

Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %

Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41

Now ,

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B

Substituting the values in the equation , we get

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B

Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle

P = 0.3 x 0.41

P = 0.123

Hence , the probability is P = 12.3 %

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I'm not sure what to do about this problem, so please help me out.

Answers

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   

Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?

Answers

Answer:

210 dollars left

Step-by-step explanation:

Answer:

he has 210 dollars left

Step-by-step explanation:

250+35=285

285-75=210

We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol

Answers

Answer:

y = 0.8x - 3

Step-by-step explanation:

See attached screenshot solution using Desmos

A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit

Answers

1.17 is the answer. Divide 4.78 by 4.

In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

65%

Step-by-step explanation:

1820/2800 percent.

(65%)

The unit rate declines on the of people satisfied/ the number of people total.

Hope this helps plz mark brainliest :D

Step-by-step explanation:

1820/2800

=65%

hope this may help you

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

isosceles

Step-by-step explanation:

the two bottom angles are equivalent

the top angle is different

two sides are also of equal length

Isosceles is the Awnser hope this helps

You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.

Answers

Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Step-by-step explanation:

A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .

So , length of one pair of opposite is represented by 'l'  [l= length]

Such that sum of these two sides = l+l=2l

The other pair of opposite sides s represented by 'w'  [w= width]

Such that sum of these two sides = w+w=2w

Perimeter is the sum of sides.

So, perimeter of rectangle = 2l+2w.

The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4


Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)

Answers

Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17

Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?

Answers

Answer:

 CAN YOU MARK ME BRAINLIEST ??

The answer is 1/8 candy left!!

Step-by-step explanation:

3/4=6/8 because x2.

6/8-5/8= 1/8

Answer:

1/8 of the jelly beans

Step-by-step explanation:

You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8

help pls

6 x (2-8) + 4

Answers

Answer:

-32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

In Solving This You will Need To;

*First You Open The Bracket Which is

6×(2-8)+4

6×2-8+4

*So after this you will multiply the 6 by the 2 which is going to be;

12-8+4

*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;

4+4

Then you add the four plus 4 so the final answer will be 8

(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)

Does this graph represent a function? khan academy

Answers

Answer:

yes

Step-by-step explanation:

its a graph

Answer:

No

Step-by-step explanation:

It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.

A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?

Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction

StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half

Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1

Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth

Answers

Answer:

B

Step-by-step explanation:

i got it right

Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?

Answers

Answer:

48

Step-by-step explanation:

Bridget = 2      x 12 = 24

Jim = 1              x 12 = 12

Krutika = 1        x 12 = 12        ---> 24 + 12 + 12 = 48

The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.

Answers

Whats the original temp? Is this the full question?

Simplify this please (multi choice)

Answers

3 2/3 = 3x3=9+2=11/3
4 2/5= 4x5=20+2=22/5

Factor 3x^2 + 7x + 2

Answers

Answer:

(x+2)(3x+1) are the factors

Answer:

(3x+1)(x+2)

Step-by-step explanation:

I don't know how to explain it but that's what I got.

I hope it's right!

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