Mathematics High School

the sum of twice a number x and 13 is two less than three times x

Answers

Answer 1

This is a word problem which requires basic logic or understanding to solve. We can write the equation:

2 x + 13 = 3 x – 2

So calculate for x:

3 x – 2x = 13 + 2

x = 15

Therefore the number is 15.

Related Questions

find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

Answers

Let the first integer be x, then:-

2 (x + x+ 2) = 3(x + 6) + 14

4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28

the four integers are 28,30,32 and 34.

The required four consecutive even integers are given as 28, 30, 32, and 34.

Given that,
Four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

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,

Here,
Let, the first term be a, and the common difference be d,

And series 2n, 2n + 2, 2n +4, 2n + 6
According to the question,
2[2n + 2n + 2] = 14 + 3[2n + 6]
8n + 4 = 14 + 6n + 18
2n = 28
n = 14
Series can be given as,
28, 30, 32, 34

Thus, the required four consecutive even integers are given as 28, 30, 32, and 34.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

What are the slope and the y-intercept of the line shown in the graph?
(A) y-intercept = 2 and slope = -3
(B) y-intercept = 2 and slope = 3
(C) y-intercept = 3 and slope = 2
(D) y-intercept = -3 and slope = 2

Answers

the y-intercept is where it crosses the y-axis: 2
the slope is rise over run. Try to choose two points on the line that you can make out the location of like (0,2) and (1,-1) is close enough. Count rise down -3 over run right +1 = -3 slope

y-intercept = 2

slope = -3

let's take the 2 coordinates from the line.

(0, 2)(1, -1)

The y-intercept is when x = 0, When x = 0, y = 2 . This means the y-intercept is 2.

m = slope = -1 - 2 / 1 - 0 = -3 / 1 = -3

Read more: https://brainly.com/question/17821013?referrer=searchResults

Which graph below shows a system of equations with infinitely many solutions?

A)coordinate plane with two parallel lines

B)coordinate plane with two intersecting lines

C)coordinate plane with two coinciding lines

D)coordinate plane with two intersecting lines

Answers

infinitely many solutions...this means u have 2 lines that are the same...they are coincident lines.....ur answer is C

Answer:

The correct option is C.

Step-by-step explanation:

Consider the provide information.

Now consider the provided options

Option A) If there is a coordinate plane with two parallel lines.

if the plane has two parallel line then, It has no solution because you can get the solution if lines intersect at a point. Thus, it is not the required option.

Option B) and D) If there are two intersecting lines then you can get only one solution. Thus, it is not the required option.

Option C) If there are two coinciding lines then you can find infinite intersecting points. Thus, it is the required option.

Therefore, the correct option is C.

Ron works 5 hours for a total of $300. He deposits all of his money in his account. He is trying to save a $500 for a new LED TV. How many hours must he work to ake home $500, if he saves all of his earnings

Answers

Ron must work 9 hours. If he makes 300 every 5 hours, that means he makes 60 every hour. 60x9 = 540

Ron's hourly wage is $60. To save $500 for a new LED TV, he needs to work approximately 8.3 hours. Rounding up, he should work 9 hours to earn the required amount.

Ron earns $300 for working 5 hours, which means his hourly wage is $300 / 5 hours = $60 per hour. To save up for a $500 LED TV, Ron needs to determine how many hours he must work to earn that amount.

To calculate the total hours Ron needs to work to save $500, we divide the total amount he wants to save by his hourly wage:

$500 ÷ $60 per hour = 8.3 hours

Therefore, Ron needs to work approximately 8.3 hours to earn $500, assuming he continues to save all of his earnings. In practice, since he cannot work a fraction of the hour, Ron would need to round up to the nearest whole hour, meaning he needs to work 9 hours to meet or exceed his savings goal.

How to do this ?? How

Answers

|ax - b| > c

The two bars | | is used to indicate the function absolute value.

Remember this definition:

| x | = - x if x < 0 and x if x > 0

So, | x | > c =>

x > c or x > - c

Therefore:

|ax - b| > c => ax - b > c or ax - b > - c

That is the third option of the answer list.

Answer:

|ax - b| > c

The two bars | | is used to indicate the function absolute value.

Remember this definition:

| x | = - x if x < 0 and x if x > 0

So, | x | > c =>

x > c or x > - c

Therefore:

|ax - b| > c => ax - b > c or ax - b > - c

Step-by-step explanation:

Eleven less than seven times a number is five more than six times the number.

Answers

Final answer:

The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.

Explanation:

The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.

To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.

So, the number or 'x' that satisfies this equation is 16.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ12

x = 16.

To solve this, let the unknown number be represented by x.

We can set up the equation based on the given information:

7x - 11 = 6x + 5

Subtract 6x from both sides of the equation:

7x - 6x - 11 = 6x - 6x + 5

Simplify the equation:

x - 11 = 5

Add 11 to both sides:

x - 11 + 11 = 5 + 11

Simplify the equation:

x = 16

Thus, the number is 16.

What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ? Enter your answer in the box. Do not round any side lengths.

Answers

Area (a) = length (l) × width (w), so we need the distance formula between 2 points for each one width and one length:
[tex]d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }[/tex]
[tex]w = \sqrt{{(1 - 3)}^{2} + {(3 - 1)}^{2} } \\ = \sqrt{( {( - 2)}^{2} + {(2)}^{2})} = \sqrt{4 + 4} \\ = \sqrt{8} \: = [/tex]
[tex]l = \sqrt{({(3 - - 1)}^{2} + {(1 - - 3)}^{2})} \\ = \sqrt{({(3 + 1)}^{2} + {(1 + 3)}^{2})} \\ = \sqrt{({(4)}^{2} + {(4)}^{2})} \\ = \sqrt{({16} + {16})} \: = \sqrt{32} [/tex]
[tex]a \: = l \times w = \sqrt{32} \times \sqrt{8} \\ = \sqrt{256} = 16 \: {units}^{2} [/tex]

How do find perimeter and area for this?

Answers

Split each part into the same sections. You might want to use a ruler

Goran runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?

Answers

Set up a proportion of miles to minutes:

3 mi/25 min= x mi/20 min

Cross multiply:
3*20=60
60/25= 2.4=x

Final answer: 2.4 miles

The height of the closet is 96 inches, and aisha would like to have 4 rows of cube organizers. what is the most the height of each cube organizer can be

Answers

the height of the closet is 96 inches...and she wants 4 rows..
so the greatest height of each cube can be : 96/4 = 24 inches

Answer: the most the height of each cube organizer can be 24 inches

Step-by-step explanation:

Since we have given that

Height of the closet = 96 inches

Number of rows of cube organizers = 4

Greatest height of each cube organizer can be is given by

[tex]\frac{96}{4}=24[/tex]

Hence, the most the height of each cube organizer can be 24 inches.

1. What is the product of -2.5 and 8.77 ?

2. Alexander purchased a computer on sale. The original price was $1,200. The sale price was 5/6 of the original price. How much did Alexander pay for the computer?

3. Mara finished 1/5 of her assignment on Saturday and 3/8 of her assignment on Sunday. What Fraction of her assignment did she complete on Saturday and Sunday?

Answers

1. Well first, what does product mean? It means to multiply...so: -2.5•8.77=-21.925

2. 5/6 of 1,200 is 1000. 1,200÷6=200 200•5=1000.

3. 1/5+3/8. Find like denominators. (40) 8/40+15/40=23/40 or as a decimal, 0.575.

Hoped I helped!

1. -21.925
2. $200
3. 23/40

On a baseball field, the infield is a square. the distance from home plate to first base is 90ft. what is the distance from home plate to second base?

Answers

100 ft hope it helps

Give an estimate for 42.8 x 13.6

Answers

Final answer:

A reasonable estimate for the product of 42.8 x 13.6 is 602, achieved by rounding each number to the nearest whole number and then multiplying them together.

Explanation:

To estimate the product of 42.8 x 13.6, we can round each number to the nearest whole number and then multiply. So, 42.8 is approximately 43, and 13.6 is approximately 14. Now, multiply these estimated values.

Estimated Calculation:

43 x 14 = 602

Therefore, a reasonable estimate for the product of 42.8 and 13.6 is 602. Remember, in estimation, we aim to simplify the calculation while still arriving at a number that's close to what the actual answer would be if we calculated it exactly.

if I work z hours overtime, and my overtime wage is $25 per hour, what's my overtime pay?

Answers

Your over time pay=25z

Use the graphs of f and g. Which describes the transformation from the graph of f to the graph of g?

f(x)=−4x+8f(x)=−4x+8
g(x)=−f(x)g(x)=−f(x)

1.horizontal translation 1 units left

2.vertical translation 4 units down

3.reflection in the x-axis

4.reflection in the y-axis

5.horizontal shrink by a factor of 1/4

6.horizontal stretch by a factor of 4

7.vertical shrink by a factor of 1/4

8.vertical stretch by a factor of 4

Answers

The transformation from the graph of [tex]$ f(x) = -4x + 8 $[/tex] to [tex]$ g(x) = -f(x) $[/tex] is a reflection in the x-axis.

The [tex]- $ f(x) = -4x + 8 $[/tex] is a linear function with a negative coefficient in front of [tex]$ x $[/tex], indicating a reflection in the x-axis.

When you negate f(x) to get g(x) = -f(x), it reflects the graph of f(x) in the x-axis.

So, the correct answer is: 3. Reflection in the x-axis

The larger of two numbers is 3 more than twice the smaller. if the twice the larger is decreased by 5 times the smaller the result is 0. find the two numbers

Answers

let x be the large number, and y be the smaller one: x=3+2y, 2x-5y=0 (from the question) --> substitute the first equation in the second --> 2(3+2y)-5y=0 --> 6+4y-5y=0 -->6-y=0 --> y=6, substitute y=6 in the first equation --> x=3+2(6) --> x=15. therefore the two numbers are 6,15

HELLLLLPPP PLLEASEEE

Answers

Just looking at the formula, the original amount invested equals 728.
The answer is B

If your bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network atms, how much money in total will be removed from your account?
a. $60
b. $63
c. $69
d. $120

Answers

The amount of the money that is in total removed from the account would be $69.

As per the question, the bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network ATMs, how much money in total will be removed from your account 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,

Here,
Amount withdrew from the ATM three times,
= 3 × 20
= $60
The total service fee charged on out of network 3 times
= 3 × 3
= $9

Now, total money withdrew from the account = 60 + 9 = $69

Thus, the amount of money that is in total removed from the account would be $69.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Final answer:

The total amount of money that will be removed from your account is $9.00.

Explanation:

To find the total amount of money that will be removed from your account, you need to multiply the out-of-network service fee by the number of withdrawals you made. In this case, the out-of-network service fee is $3.00 and you made three withdrawals. So, the total amount of money that will be removed from your account is $3.00 x 3 = $9.00.

Luis has a $10 bill and three $5 bills. He spends $12.75 on the entrance fee to an amusement park and $8.50 on snacks. How much money doe she have left

Answers

Answer:

She has a total of $3.75 left

Step-by-step explanation:

Step 1

Express the amount of money Luis had in the beginning as follows;

A=E+R

where;

A=initial amount he had at the beginning

E=total expenditure

R=total remainder after spending

In our case;

A=(1×10)+(3×5)=$25

E=Amount spent at amusement park+amount spent on snacks

E=(12.75+8.50)=$21.25

R=unknown=r

Step 2

Substitute the values in the expression and solve for A;

25=21.25+r

r=25-21.25=3.75

r=3.75

She has a total of $3.75 left

Simplify
8 - [- ( - 3 )]
A. 5
B. -5
C. 11
D. -11

Answers

Hey Miranda!

Let me help you out...

First, keep in mind that they just put these negative signs to make the thing looks difficult to solve :)

Do you remember this:
[tex]Minus * Minus = Plus [/tex]

Well this the same thing. We gonna multiply the two negative signs that are behind the parentheses together and make it plus sign

Here is how it works
[tex]8-[-(-3)] =8 + (-3) =8 - 3 =5[/tex]

The correct answer is option A (5)

Good luck with your studies, Miranda.

Is -2 less than 0???????????????????????????

Answers

Yes because it is a negative number which, on a number line, is behind 0.

Yes negative two is less than zero because negatives number on a line go to the left, zero in the middle of course, and positive on the right, so since negative numbers are less than positive (not saying that 0 is positive or negative), than they are also less than zero. so -2 < 0 is true. Since negatives/positives are like up/down, left/right, good/bad, opposites like that than negatives will always be lower.

Maria, bill, and change sent a total of 71 text messages during the weekend. change sent 2 times as many messages as bill. maria sent 7 more messages than bill. how many messages did they each send?

Answers

Alright, we're dealing with a few values here, so let's give them some labels to save us some trouble down the road. We'll call the number of messages sent by Maria m, the number sent by Bill b and the number sent by Change (is that a real name?) c. We don't know exactly what each number is, but let's take a look at what information they do give us.

Change sent 2 times as many messages as Bill, or, using our variable for Change and Bill:

[tex]c=2b[/tex]

We're also given that Maria sent 7 messages more than Bill, which we can represent with:

[tex]m=b+7[/tex]

Notice that m and c are both in terms of b. We can use this for our next step. We're given at the beginning that together, Maria, Bill, and Change sent 71 messages over the weekend. As an equation using all of our variables, this translates to:

[tex]m+b+c=71[/tex]

Since m and c are both in terms of b, we can substitute those expressions in and solve for b:

[tex](b+7)+b+2b=71\\ b+7+b+2b=71\\ 7+4b=71\\ 4b=64\\ b=16[/tex]

Now that know that Bill sent 16 texts, we can find the numbers for Change and Maria:

[tex]m=b+7=16+7=23\\ c=2b=2(16)=32[/tex]

So, Bill sent 16 texts, Maria sent 23, and Change sent 32.

Which algebraic expression is a polynomial with a degree of 2?

a)4x3 − 2x
b10x2 −
c)8x3+ + 3
d)6x2 − 6x + 5

Answers

6x^2 - 6x + 5 <== this is ur polynomial with a degree of 2

the one u have marked is not a polynomial because it has a variable in the square root...a polynomial cannot have that

Answer:

D) 6x² − 6x + 5 has degree 2.

Step-by-step explanation:

Given : Polynomial .

To find : Which algebraic expression is a polynomial with a degree of 2.

Solution: We have given polynomial

Degree : The highest power of the polynomial is called degree.

We can see from the given polynomials two polynomial have 2 power

first is [tex]10x^{2} -\sqrt{x}[/tex].

Second is 6x² − 6x + 5.

But the first term have root so, it is not a polynomial.

So 6x² − 6x + 5 has degree 2

Therefore, D) 6x² − 6x + 5 has degree 2.

Solve for y.

4y = 144

What is the answer?

Answers

4y=144
/4 /4
4 is canceled out
y=144
/4
144/4 = 36
y = 36

The solution is y = 36. Divide both sides of the equation by 4 to isolate y. To isolate y, we want to get rid of the coefficient 4 that is multiplying y.

We do this by dividing both sides of the equation by 4:

4y / 4 = 144 / 4

On the left side, the 4 in the numerator and the 4 in the denominator cancel out, leaving us with just y:

y = 144 / 4

Now, Simplify the equation.

Now, we can perform the division to find the value of y:

y = 36

The solution is y = 36.

To know more about solution:

https://brainly.com/question/30133561

#SPJ2

Max spent $53 and now has no money left. How much did he have before his purchase

Answers

Before Max had $53, thats my final answer ;)

An equation is formed when two equal expressions. The amount Max had before his purchase is $53.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Max spent $53 and now has no money left. Therefore, we can write the details as,

The amount spent on the purchase = $53

The amount left after purchase = $0

Let the amount before purchase be represented by M. Therefore, we can write the amount remaining after purchase as,

Amount before purchase - Amount spent on purchase = Amount remaining after purchase

M - $53 = $0

Adding 53 on both sides.

M - 53 + 53 = 53

M = 53

M = $53

Thus, the amount Max had before his purchase is $53.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

The first three terms of a sequence are 1, 2 and 3. each subsequent term is the sum of the three previous terms. what is the 11th term of this sequence? pattern

Answers

Final answer:

The 11th term of the sequence, where each term is the sum of the three previous terms starting with 1, 2, and 3, is 423.

Explanation:

The sequence is defined such that each term is the sum of the three previous terms, starting with 1, 2, and 3. To find the 11th term, we continue the sequence based on its pattern:

1 (given)

2 (given)

3 (given)

6 (1+2+3)

11 (2+3+6)

20 (3+6+11)

37 (6+11+20)

68 (11+20+37)

125 (20+37+68)

230 (37+68+125)

423 (68+125+230)

Therefore, the 11th term of the sequence is 423.

find the coordinates of the midpoint of EF with endpoints E(-2,3) and F(5, -3)

Answers

in the middle there are 13 units away.

The coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3) are (1.5, 0), calculated using the midpoint formula.

To find the coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3), you can use the midpoint formula which is:

( (x1 + x2)/2, (y1 + y2)/2 )

Let's apply the formula:

x-coordinate of midpoint = ( (-2) + 5 ) / 2 = 3 / 2 = 1.5

y-coordinate of midpoint = ( 3 + (-3) ) / 2 = 0 / 2 = 0

So the midpoint of EF is (1.5, 0).

Suppose that water is being pumped into a trough. the trough is $$15 feet long, and every cross section of the trough is an equilateral triangle, with a vertex of the triangle pointing toward the ground. find the rate of change of the height of the water when the height is $$4 feet, if the volume of water is increasing at a rate of $$8 cubic feet per second.

Answers

I think it is the answer so that might be

∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ? Enter your answer in the box.

Answers

-x+26=2x-10
+x +10 +x +10
36+3x
divde by 3
12=x

m∠D=2(12)-10
=24-10
=14

Answer:

m∠D=14

Step-by-step explanation:

∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10

Vertical angles are equal. So equate the angles C and d . Solve for x

m∠C=m∠D

[tex]-x+26=2x-10[/tex]

Subtract 2x from both sides

[tex]-3x+26=-10[/tex]

Subtract 26 from both sides

[tex]-3x=-36[/tex]

Divide both sides by -3

x=12

m∠D=2x−10

Substitute 12 for x

m∠D=2(12)−10=24-10= 14

which is a perfect square a. 6^1 b. 6^2 c. 6^3 d. 6^5 (need answer now pls)

Answers

Hello there! 6^1 is not a perfect square. It's basically it's own number and 6 is not a perfect square. Therefore, A is out. 6^3 (216) is cubed, not squared, so C is out as well. Just by looking at the exponents, 6^2 is squared and 36 is a perfect square, so the answer is B: 6^2.

The perfect square expression is (b) 6^2

How to determine the perfect square?

A perfect square is any expression that can be represented as:

x^2

Where x is a real number

From the list of options, we have: 6^2

i.e.

x^2 = 6^2

Hence, the perfect square expression is (b) 6^2