Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.

Answers

Answer 1

Answer:

These types of questions are not daunting if you break it down. First look at  "Five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Next, analyze the second part. "Three times the quantity of four more than one half the number."

Looking at "Three times the quantity" simply means "3 times something".

"the quantity of four more than one half the number" is 4 + "one half the number" or 4 + (1/2)x.

So the second part is simply 3(4+x/2).

Finally we finish the entire equation, (2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.


Related Questions

Mikayla caught a value pack of crackers for $6.72. The value pack had 24 individually wrapped crackers packages. Solve 24x = $6.72 to find the cost per package in dollars.

Answers

Answer:

0.28$

Step-by-step explanation:

divide

PLZ HELP MEEEEEEEEEEEEEEEEEE

Answers

3.6 fl oz hope this helps!!!

HELP IF I DONT PASS THIS IS STAY IN THe GRADE I AM IN PLZZ​

Answers

Answer:

2 1/9

Step-by-step explanation:

decimal 2.111111111111111111111111111

just cut 2 in half then 2/9 in half

Answer:

2 1/9

Step-by-step explanation:

turn the mixed number into an irregular fraction then divide.

38/9 ÷ 2

38/9 * 1/2 = 38/18 because you multiply by the reciprocal

2 1/9 is the answer

Please help!!!
Each circles radius diameter circumference and formula used needs to be found!!!! I need help urgently and I’ll give brainliest!

Answers

Answer:

Check bolded below

Step-by-step explanation:

1)radius = 10 in (given), diameter = 2*radius = 2(10 in) = 20 in

formula for circumference => 2πr => 2π(10)

circumference = 20π in

2)diameter = 12 ft (given), radius = 1/2*diameter = 1/2(12 ft) = 6 ft

formula for circumference => 2πr => 2π(6)

circumference = 12π ft

3)radius = 3 m (given), diameter = 2*radius = 2(3 m) = 6 m

formula for circumference => 2πr => 2π(3)

circumference = 6π m

4)diameter = 18 cm (given), radius = 1/2*diameter = 1/2(18 cm) = 9 cm

formula for circumference => 2πr => 2π(9)

circumference = 18π cm

1.

radius = 10 in

diameter = 10 × 2 = 20 in

formula = π × d

circumference = π × 20 = 62.83 in

2.

radius = 12 ÷ 2 = 6 ft

diameter = 12 ft

formula = π × d

circumference = π × 12 = 37.70 ft

3.

radius = 3 m

diameter = 3 × 2 = 6 m

formula = π × d

circumference = π × 6 = 18.85 m

4.

radius = 18 ÷ 2 = 9 cm

diameter = 18 cm

formula = π × d

circumference = π × 18 = 56.55 cm

26
24
10
HELP PLSSsSs

Answers

Answer:

what is the question? all I see is a drawing w labels

Are you asking what is the area of the shaded region?

Area semicircle = 1/2 * pi * r^2
= 1/2 * 3.14 * 13^2
= 1.57 * 169
= 265.33

Area of triangle = 1/2 * base * height
= 1/2 * 24 * 10
= 12 * 10
= 120

265.33 + 120 = 385.33

45 points fellas cmon

Answers

Answer:

4x + 4y

Step-by-step explanation:

Hopefully this is the correct answer and hope this helps

Answer:

YES YOU ARE CORRECT!!!

Because....

4x+2y=20

2x+y=10

4x2=8  2x y(1)=2

8+2=10

Step-by-step explanation:

hope that helped you! :)

Gloria come las dos quintas partes de un pastel y luego le da a su hermano la cuarta parte de lo que le queda.
Me ayudas? ​

Answers

Answer:

3/20 I think

Step-by-step explanation:

Find the missing value so that the line passing through the points has the given slope.
(10, y) and (3, 4); m= -2/7

Answers

Answer:

y = 2

Step-by-step explanation:

(10, y)

(3, 4)

[tex]\frac{4-y}{3-10}[/tex] = - [tex]\frac{2}{7}[/tex]

4 - y = 2

y = 2

Tracy got 36 problems correct on her math exam if she scored a 72%, how many questions were on the exam?

Answers

36/ .72 = 50 questions

There were 50 questions on her exam.

To find this answer, first make the percentage a decimal by dividing 72 by 100. This will give you 0.72, which you divide into 36 (36 ÷ 0.72). Doing so reverses the percentage, and gives you the total amount of questions. Thus meaning your answer is 50.

I hope this helps!!

On a cm grid, point P has coordinates (3,-1) and point Q has coordinates (-5,6) calculate the shortest distance between P and Q

Answers

Answer:

10.63cm

Step-by-step explanation:

The formula for calculating the distance between two coordinate is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates (3, -1) and (-5, 6)

D = √(-5-3)²+(6-(-1))²

D = √(-5-3)²+(6+1)²

D = √(-8)²+(7)²

D = √64+49

D = √113

D = 10.63cm

Hence the shortest distance between P and Q is 10.63cm

What if the red figure is translated 3 units right and 4 units down? What are the new ordered pairs of the image?

Answers

What does it start at?

2)
13 mi
A) 81.7 mi
C) 84.2 mi
B) 163.4 mi
D) 85.5 mi
The circumference

Answers

Answer is A- 81.7min

Mrs. Cho is bringing cans and bottles to a recycling center. For a type A can, she gets 5 cents. For type B can, she gets 10 cents. She knows that she has redeemed at least 11 cans but has no more than 95cents. What are the possible combinations?

Answers

Answer:

One possible solution be -

Mrs. Cho is brings type A cans = 10

Mrs. Cho is brings type B cans =  3

Step-by-step explanation:

Let us assume

Mrs. Cho is brings type A cans = x

Mrs. Cho is brings type B cans = y

As given,

For a type A can, she gets 5 cents and For type B can, she gets 10 cents

As we have x Type A cans and y Type B cans

And she has redeemed  no more than 95 cents

⇒5x + 10y ≤ 95           .......(1)

Also given,

She has redeemed at least 11 cans

⇒ x + y ≥ 11           ........(2)

∴ we get

x + y ≥ 11  

5x + 10y ≤ 95

By applying graphical method , we get

The equations become

5x + 10y = 95       .......(1)

x + y = 11              ........(2)

Table for equation (1) -

x                   y

0                    9.5

19                    0

Table for equation (2) -

x               y

0              11

11              0

The two lines intersect at point (3, 8)

So the possible combinations are in the shaded portion which is covered by both the lines.

One possible combination is ( 10, 3) which lies in the shaded region.

So,

Mrs. Cho is brings type A cans = x = 10

Mrs. Cho is brings type B cans = y = 3

The movie club is having a new member sale, so Mindy signs up. The equation -0.4x + 0.05y - 1.25 = 0 relates y, the total cost, and x, the number of months. What is the y-intercept of the line represented by the equation?

Answers

Answer:

Y intercept : ( 0 , 25 )

Step-by-step explanation:

Answer:

         (0, 25)

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

-0.4x + 0.05y - 1.25 = 0         {multiply both sides by 20}

-8x + y - 25 = 0                    {add (8x+25) to both sides}

y = 8x + 25     ⇒   b = 25

Therefore y-intercept of the line is (0, 25)

Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C

Answers

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed

Explain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept
Substitute the slope for
and the y-intercept for
in the slope-intercept form

Answers

Answer:

Step-by-step explanation:

example

we are given: slope = 5, y-intercept = 9

y=mx+b

we just plug it in

y=5x+9

3. Sheila is creating a graph of the outside temperatures, t, at her house for math class. Which
would be a reasonable range for Sheila's graph if she collected data throughout the year?
A.-98°F B.-125°F C. 100°F D. 25°F

Answers

Answer:

Step-by-step explanation:

Answer:

29°F < t < 94°F

Step-by-step explanation:

Y=x(4)/2+3x(3)-2x-12

Answers

Answer:

[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]

General Formulas and Concepts:    

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Calculus  

Derivatives    

Derivative Notation    

Derivative of a constant is 0    

Basic Power Rule:    

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]

Step 2: Differentiate

Basic Power Rule:                                                                                           [tex]\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}[/tex]Simplify Exponents:                                                                                        [tex]\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Divide:                                                                                                             [tex]\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Multiply:                                                                                                           [tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]

calculate 41% 0f 51kg

Answers

20.91

51 x 0.41 = 20.91

Answer:

20.91kg

Step-by-step explanation:

Amount = .41 * 51 = 20.91kg

Me ayuden por favor es para Hoy ✌✌​

Answers

ninguna de las preguntas se puede dividir, pero puede simplificar la última.

Lo siento pero, Espero que esto sea de ayuda!

Evaluate (4-^2)^2. Help me now now

Answers

Answer:

aksksjjsjsjjsjsjejjssnehjejeejejkejjs

Four to the power of -2 is going to be 1/16. If you multiple that by itself you get 1/256

Three houses are sold for:
£187000, £253000 and £141000
The company earns 2% commission on
each house.
What is the total commission earned?

Answers

Answer:

11,620$

p-by-step explanation:

Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his bank. If he wants to finance only $2,800, what percent of the total cost should his down payment be?

Answers

Answer:

62.22% I think.

Step-by-step explanation:

Have a good day.

$250 is invested at a bank that pays 7% simple interest. Calculate the amount of money in the account after 1 year,
3 years, 7 years, and 20 years

Answers

Answer:

267.5

302.5

372.5

600

Step-by-step explanation:

Simple interest

PV(1+it)

1 year:

250(1+.07)

267.5

3 years:

250(1+.07*3)

302.5

7 years:

250(1+.07*7)

372.5

20 years:

250(1+.07*20)

600

The amount of money in the account after adding simple interest of 7% rate  is respectively $17.5, $52.5,  $122.5,  $350

What is simple interest?

Simple interest is a amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider principle amount(P), rate(R) and time(T).

Every time we calculate simple interest the principle values will be same unlike compound interest.

Formula;    Simple Interest(I) =  P × R × T/100

Given that,

P = $250

R =  7%

For T =  1 year

I  =   250 × 7 × 1/100

  =   $17.5

For T =  3 year

I  =   250 × 7 × 3/100

  =   $52.5

For T =  7 year

I  =   250 × 7 × 7/100

  =   $122.5

For T =  20 year

I  =   250 × 7 × 20/100

  =   $350

To know more about Interest check:

https://brainly.com/question/29480777

#SPJ1

The triangle shown below are similar. Solve for x. 

Answers

Answer:

x=16

Step-by-step explanation:

27/45=(2x+7)/(4x+1)

cross multiply

27(4x+1)=45(2x+7)

108x+27=90x+315

108x-90x=315-27

18x=288

x=288/18

x=16

Looking at the image, The triangle shown below are similar. The value for  x is 16.

What is the triangle about?

Note that in the triangle given, the shapes are similar. Therefore:

27/45 = 2x + 7/  4x + 1

3/5 = 2x + 7/  4x + 1

So:

3 (4x + 1) = 5 (2x + 7)

12x + 3 = 10x + 35

12x - 10x = 35-3

2x = 32

x = 32/ 2

x = 16

Therefore, the value of x is 16.

Learn more about triangle from

https://brainly.com/question/17335144

#SPJ6

y'all i need ur help.ill brainlist whoever gets this right. lets see who does.

Ben is pair overtime at time and a half. his normal rate or pay is $28 per hour. how much would he be paid for 6 hours' overtime​

Answers

Answer:

168 hours or 4.66667 im not sure

An electric fan connected to a 220 V source. the current is 4A what is the power of the fan​

Answers

Answer:

Voltage V=220V

Current I=4A

Now, rate at which the electrical energy transformed  

 P=V×I

 P=220×4

P=880 watts

Now, the energy is transformed in 2 min

  P=tE

 E=P×t

 E=880×120

 E=105600J

Hence, the energy transformed is 105600 J

What is equivalen to this 8=^8/3

Answers

Answer:

Equivalent Fractions for 8/3: There are infinity equivalent fractions to 83. See some examples: 83, 166, 249, 3212, 4015, 4818, 5621, 6424, 7227, 8030, 8833, 9636, 10439, 11242, 12045, 12848, 13651, 14454, 15257, 16060...

Step-by-step explanation:

i need help now pleaseeee

Answers

Answer:

y=75° (opposite angle of parallelogramare equal)

x+8=16(opposite sides are equal)

x=16-8

x=8

Answer:

y=75

x=8

Step-by-step explanation:

Hope this helped!

Infrared, ultraviolet and visible light are
all part of the electromagnetic spectrum.
The basic difference between them is
their
source
speed
wavelength
Temperture

Answers

wavelength is the right answer
wave length is the answer of this problem
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