Four times the sum of half a number and 6 is 48

Answers

Answer 1

Answer:

The number is 12

Step-by-step explanation:

Let the number be x

Half a number is written as 1/2x

So we have

Four times the sum of half a number and 6 is 48 is written as

[tex]4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24[/tex]

Divide both sides by 2

That's

[tex] \frac{2x}{2} = \frac{24}{2} [/tex]

We have the final answer as

x = 12

Hope this helps you


Related Questions

if the product of two identical number is one thousand twenty four. Find out of the numbers​

Answers

Answer:

32

Step-by-step explanation:

1,024 will be a perfect square if it is the product of 2 of the same numbers:

Calculate the square root of 1024:

[tex]\sqrt{1024}[/tex]

= 32

So, the number is 32

Answer:

32

Step-by-step explanation:

Let the unknown number be n.

When multiplied together, the product is 1,024. Therefore:

[tex]n\cdot n=1024[/tex]

Combine:

[tex]n^2=1024[/tex]

Take the square root of both side:

[tex]n=\sqrt{1024}=32[/tex]

Therefore, the unknown number is 32.

hi help me (2·4)²= this is other (6:2)²+

Answers

Answer:

(2·4)² = 64  /  (6*2)² = 144

Step-by-step explanation:

Follow PEMDAS :

Parenthesis first, so:

2 * 4

==> 8

Then Exponent:

8 ^2

==> 64

(2·4)² = 64

Do the same for (6:2)² :

Parenthesis first :

6 * 2

==> 12

Then Exponent:

12^2

==> 144

(6:2)² = 144

Answer:

1. 64 is the answer.2. 144 is the answer

Step-by-step explanation:

First, multiply the numbers inside the parenthesis. So

1. 2*4 = 8

2. 6*2 = 12

Next, Use the exponents

1. 8^2

2. 12^2

Finally, solve using exponents.

1. 8^2 = 64

2. 12^2 = 144

So 64 and 144 is the answer.

Hope this helped,

Kavitha

Please help assappppp!!!1

Answers

Answer:

(D) C'D' and CD are equal in length

Step-by-step explanation:

When we reflect a line, nothing changes about it except it's position.

The line never gets dilated in any way.

This means that B and C must be incorrect, since they refer to dilating the line.

Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.

That leaves D.

Hope this helped!

8/7 + 7/7 = ? Help please ?

Answers

Answer:

15/7

Step-by-step explanation:

8/7 + 7/7 = 8+7 = 15

Therefore, the sum of 8/7 + 7/7 is equals to 15/7

Answer:

To add fractions, find the LCD and then combine.

Exact Form:

1 5/7

Decimal Form:

2.142857

Mixed Number Form:

2 1/7

The points S, T, U and V all lie on the same line segment, in that order, such that the
ratio of ST : TU: UV is equal to 6:2:3. If SV = 22, find TV.

Answers

Answer: TV = 10

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

Explanation

Let x be some positive real number such that

ST = 6xTU = 2xUV = 3x

leading to the ratio

ST:TU:UV = 6x:2x:3x = 6:2:3

Note how I effectively started with 6:2:3 and multiplied all parts of the ratio by x to get 6x:2x:3x

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

The parts of the ratio add up to the longest segment SV

ST+TU+UV = SV

6x+2x+3x = 22

11x = 22

x = 22/11

x = 2

Therefore,

ST = 6x = 6*2 = 12TU = 2x = 2*2 = 4UV = 3x = 3*2 = 6

Note how ST+TU+UV = 12+4+6 = 22, which is the length of SV. This helps confirm we have the correct x value.

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

The last step is to find the length of TV

TV = TU+UV

TV = 4+6

TV = 10

Or you could do

ST + TV = SV

12+TV = 22

TV = 22-12

TV = 10

HELP PLEASE IM BEGGING SOMEBODY!!??!

Answers

Answer:

0.16

Step-by-step explanation:

We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.

Answer:

0.16 is the answer

Step-by-step explanation:

just simply divide 4 by 25 and you ll get the answer

Joanne read 84 pages in 4 hours. What is the unit rate?

Answers

If Joanne read 84 pages in 4 hours. Then the unit rate for Joanne is 21 pages per hour.

What is the rate?

The rate is the ratio of the amount of something to unit time.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Joanne read 84 pages in 4 hours.

Then the rate of the Joanne will be

[tex]\rm Rate = \dfrac{84}{4}\\\\Rate = 21[/tex]

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Solve the equation: 3x - x + 2 = 4(2x - 1) infinite solutions x = 1 x = -1 no solution

Answers

Answer:

[tex]x=1[/tex]

B

Step-by-step explanation:

So we have the equation:

[tex]3x-x+2=4(2x-1)[/tex]

Combine like terms on the left:

[tex]3x-x+2=4(2x-1)\\2x+2=4(2x-1)[/tex]

Distribute out the right:

[tex]2x+2=4(2x-1)\\2x+2=8x-4[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+2)-2x=(8x-4)-2x\\2=6x-4[/tex]

Add 4 to both sides. The right side cancels:

[tex]2+4=(6x-4)+4\\6=6x[/tex]

Divide each side by 6:

[tex](6)/6=(6x)/6\\x=1[/tex]

Therefore, the solution is: x=1.

X = 1

Porque:

3x - x + 2 = 4(2x - 1)

3x - x + 2 = 8x - 4

3x - x - 8x = - 4 - 2

- 6x = - 6

x = - 6/ -6

x = 1 ✔️


If 5/8 is multiplied by 4/5 will the product be greater than the two factors? Explain.

Answers

Answer:

Step-by-step explanation:

4/5 is less than 1, so multiplying 5/8 by 4/5 results in a product smaller than the two factors.

the length and width of a rectangle is (x + 4) and x, respectively. what statement best describes (x + 4)?

Answers

Answer:

b. length is 4 more than the width.

Step-by-step explanation:

Length - width = x + 4 - x = 4.

What is the mode of the following numbers?
3,5,6,7,9,6,8

Answers

Answer:

The mode would be 6

Step-by-step explanation:

The mode in mathematics refers to the number that appears the most frequently in the set of data. The number six is the only number that is shown twice, making it the mode.

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?

Answers

Answer:

240

Step-by-step explanation:

Right now, Marlon's average is (210 + 225 + 254 + 231 + 280) / 5 = 240. To maintain that average, the sum of Marlon's scores after 6 games must be 240 * 6. Currently, the sum of Marlon's scores is 240 * 5 so he must score a 240 * 6 - 240 * 5 = 240(6 - 5) = 240 * 1 = 240 for his last game.

Renee wants to put a fence around her

square garden that has an area of

6,500 square feet. Determine the

perimeter of the garden to the nearest

tenth of a foot.

Answers

Answer:

320 "if rounded"

Step-by-step explanation: you find out what number times itself equals 6500 which is 80.623 "rounded to 80" then you add up all the sides "80+80+80+80" or "8x4"  which would be 320 but you have to do nearest tenth so your answer would be 322.4.

Please help ASAP please

Answers

Answer:

a(sub n)=a(sub n-1)÷4 when n≥2

Step-by-step explanation:

a(sub n)=a(sub n-1)÷4 when n≥2 (the second term)

sorry - my iPad doesn’t let me do subscript. You just have to write an n and n-1 in the lower subscript position after a

Simplify (3−10)^2−(5−12)^2​

Answers

Answer:

0

Step-by-step explanation:

(3−10)^2 − (5−12)^2

(3−10)^2 = 49

(5−12)^2 = 49

49 - 49 = 0

Answer: 0

Step-by-step explanation:

3-10= -7. -7^2=49

5-12=-7. -7^2=49

49-49=0

What are the major arcs of o0 that contain point B?

Answers

Answer:

Option (C)

Step-by-step explanation:

By the definition of a major arc - any arc of a circle which measures more than 180°  is the major arc.

In the given circle, AC and BD are the two chords.

And arcs measuring more than 180° are,

[tex](\widehat{BCA}, \widehat{CDB}, \widehat{ABD},\widehat{DAC},\widehat{DBC},\widehat{ACD})[/tex]

Therefore, the arcs given in Option (C) will be the major arcs of the circle O.

Option (C) will be the correct option.

(-2)+6(-5)+9 find the sum ​

Answers

Answer: We should first use order of operations to multiply 6 and -5. Then we add and subtract from left to right.

Demo:

6 * (-5) = -30

Equation looks like: -2 - 30 + 9

-2 - 30 = -32

-32 + 9 = -23

-23 is the answer to this equation.

The value of n is...

Answers

Answer:

n =59

Step-by-step-explanation :

Does anyone know this?

Answers

Answer:

Hey there!

The domain is the range of all the x values.

So for this graph, the domain would be [tex]-10<x\leq 8[/tex].

Note that the open circle means < or > and the closed circle means ≤ or ≥.

Let me know if this helps :)

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.​

Answers

Answer:  fixed charge = 15,   extra day = 3

Step-by-step explanation:

Let x represent the charge for an extra day (after 3 days)

Let y represent the fixed charge (for first 3 days)

Equation 1:    7 days is 4 extra days   -->      4x + y = 27

Equation 2:   5 days is 2 extra days   -->     2x + y = 21

Multiply the second equation by -1 and add the two equations together:

                   4x + y = 27

                 -2x  - y = -21  

                  2x       =   6

                          x = 3

Input x = 3 into either equation to solve for y:

2x + y = 21

2(3) + y = 21

         y = 15

Which expressions are equivalent to 3(4h+2k)?

Answers

Answer:

(4h+2k)

Step-by-step explanation:

y685

Should 21st century skills such as critical thinking, collaboration or logic and reasoning be taught in math class? Explain your answer.

Answers

Answer:

YES

Step-by-step explanation:

I would recomend them as electives, for students who want a higher level of education, not a required course.  I do think school should offer more course options at there school, to specialize a students learning exsperience. So yes I think schools should offer these courses...as electives.

Answer:

No because that's not math related, it should be taught in/as a different class.

4x - y = -7
-8x + 4y = 12
Elimination

Answers

Answer:

(x,y)=(-2,-1)

Step-by-step explanation:

4x - y = -7: 8x-2y=-14

8x-2y=-14

-8x + 4y = 12

add these two:

2y=-2

y=-1

plug in the y:

-8x-4=12

-8x=16

x=-2

I need help please !!

Answers

Answer:y=28

Step-by-step explanation:

all triangles add up to 180 and this triangle is an isosceles triangle so 34 should be equal to x-5 meaning that two of the angles are 34 degrees and you just need to subtract 34(2) from 180 which is  180-68 to give you 112. Then since this is the value of 4 times y, just divide 112 by four to isolate the variable and you get 28.

N•6 as a verbal expression

Answers

Answer:

[tex]\large \boxed{\mathrm{The \ product \ of \ N \ and \ 6}}[/tex]

Step-by-step explanation:

[tex]\sf N \cdot 6[/tex]

[tex]\sf N \ and \ 6 \ are \ multiplied.[/tex]

[tex]\sf The \ product \ is \ the \ result \ of \ multiplying.[/tex]

Question 2 Multiple Choice Worth 2 points)
y Classes
(08.07 LC)
Teacher
Two friends are reading books Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression
represents the number of words Bob reads?
O 21,356 x 2
Lessons
21,356 x
1
Assessments
021,356 x
My Grades
O 21.356 x 10
Email
Group
Discussions
Question 3 Multiple Choice Worth 2 points)
Site Map
(08.07 LC)
Vous Question
Question 1 (Not Answered)
ON
Nexd Question
HI

Answers

Answer:

[tex]B = \frac{3}{2} * 21,356[/tex]

Step-by-step explanation:

Given

Represent Jimmy with J and Bob with B

[tex]J = 21,356[/tex]

[tex]B = 1\frac{1}{2} * J[/tex]

Required

Determine the expression for B

[tex]B = 1\frac{1}{2} * J[/tex]

Substitute 21,356 for J

[tex]B = 1\frac{1}{2} * 21,356[/tex]

Convert Mixed fraction to improper

[tex]B = \frac{3}{2} * 21,356[/tex]

The above is an expression for B

Solving further, we have

[tex]B = \frac{3 * 21,356}{2}[/tex]

[tex]B = \frac{64068}{2}[/tex]

[tex]B = 32034[/tex]

compressed by a factor
of 1/2, horizontally and
vertically translated 5 units


can someone help me find the equation

Answers

I think your talking about quadratics, so

They didn’t specify which way the parabola was translated, right or left, up or down?

Since there wasn’t specification of direction, I will use positive (to the right) and up (upwards)

a = 1/2
h = +5
k = +5

y = a(x-h)^2+k
y = 1/2 (x - 5)^2 + 5

Now if your writing it in standard form (above was vertex form) you’d just expand it

y = 1/2 (x-5)(x-5) + 5
y = 1/2 [(x^2) -5x -5x ] + 25 + 5
y = 1/2 x^2 - 5x + 30

Please answer the question below. Please answer

Answers

Answer:

I think of (C.85) can't be constructed

Step-by-step explanation:

hope this helps you :)

Answer:

C) 85

Step-by-step explanation:

Hope this helps

please answer this question​

Answers

Answer:

(a+2)/(a-1)

Step-by-step explanation:

[(a^2+5a+6)/(a^2-1)]/[(a^2-9)(a^2-2a-3)]

[(a^2+5a+6)/(a^2-1)]*[(a^2-2a-3)(a^2-9)]

[(a^2+3a+2a+6)/(a-1)(a+1)]*[(a^2-3a+a-3)/(a-3)(a+3)]

[a(a+3)+2(a+3)/(a-1)(a+1)]*[(a(a-3)+1(a-3)/(a-3)(a+3)]

[(a+2)(a+3)/(a-1)(a+1)]*[(a+1)(a-3)/(a-3)(a+3)]

=(a+2)/(a-1)

Two people share $52.20 in the ratio 4:5. How much does each person receive?

Answers

ill take the 52.20 aint no splitting

Answer:

$23.20 and $29

Step-by-step explanation:

We can set up a simple equation to solve this problem.

4x + 5x = 52.2

9x = 52.2

x = 5.8

To find out how much each person received, we multiply 5.8 with the ratio numbers 4 and 5. That gives us $23.20 and $29, respectively.

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

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