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:

a) x = 34

b) yes, it checks out

Step-by-step explanation:

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

multiply both sides by 2 to eliminate fraction

2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x

x - 10 = 24

x = 34

check

2(34) - 5 = 3(4 + 34/2)

68 - 5 = 3(4 + 17)

63 = 3(21)

63 = 63


Related Questions

Whats the answer to this i can't figure it out can someone help.

Answers

Answer:

D!

Step-by-step explanation:

TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!

How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?

Answers

Answer:

16 years

Step-by-step explanation:

Principal amount (P) = $600

Rate of interest (R) = 2.75%

Simple interest (S.I.) = $264

Let t denotes time period.

[tex]S.I.=\frac{PRT}{100}[/tex]

[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]

[tex]t=16[/tex] years.  

Therefore,

interest of $264 will be earned in 16 years.

Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250

Answers

Answer:

$22.5

Step-by-step explanation:

[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]

plz help fast i have to find the surface area of a 3d shape

Answers

label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible

Step-by-step explanation:

Which equation represents a nonlinear function?
O A. 7x - 3y = 0
O B. X = 12y - 4
O C. 9xy = 19
O D. X + 7 = 0

Answers

I think the answer is B because that is the only answer that could make sense.

Which one is the correct answer please please.

Answers

Answer:

option 1

plz mark as brainiest

Step-by-step explanation:

Answer:

1/2 (option 1)

Step-by-step explanation:

the equation is in y=mx+b form (slope-intercept form)

y: y-axis

m: slope

x: variable

b: y-intercept

help me plz i don’t do math and it’s hard

Answers

3,4,0,2 should be the answer.

Really don’t understand this one

Answers

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

Expression that is equivalent to (b^10) ( b^2)in the form of b^m

Answers

Answer:

b^12

Step-by-step explanation:

Multiply b^10 by b^2 by adding the exponents.

b^12

PLEASE HELP I NEED THIS ASAP
which relation is not a function?

Answers

Answer:

im not completley sure but i think its B

Step-by-step explanation:

I think it’s d but if I’m wrong sorry

In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.

Answers

Answer:

276 meters in the first 2 hours

Step-by-step explanation:

Given that,

Professional climbers climb 828 meters in 6 hours.

Let us assume we need to find how far did they climb in the first 2 hours.

6 hours = 828 m

⇒ 1 hour = 138 m

So, in 2 hours,

2 hours = 138 × 2 m

= 276 m

So, the climber climb 276 meters in the first 2 hours

answer please i really need help if you get it right you get brainlyest​

Answers

The slope/m is 5/2 or 2.5, btw can u give me thanks, rate, and make me brainliest plz, have a good day!

Kevin wants buy a subwoofer for his truck. The one he wants cost $370.00. Kevin earns $14.00 for 5 problems, how many problems would he have to write to earn enough money for the subwoofer?

Answers

Kevin would have to write 133 problems, as 14/5= $2.8 per problem 370/2.8= 132.14 but since he can’t be paid to write .14 of a problem he needs to finish it making the answer 133 problems

This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?​

Answers

Answer:

It's a Rhombus!

The answer should be A Rhombus

Can y’all help me with this?

Answers

Answer:

this is binomial

3 is the degree of this equation.

Round the decimal and solve to find the best estimate.

.÷ 8

Answers

Answer:

0

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place would equal 0.00.

so then you do 0.00 ÷ 8 = 0

help I will give brainiest it will mean alot. find the scale factor​

Answers

The scale factor is 4 . I assume both pictures are the same

Answer:

Step-by-step explanation:

16:1

x
A field is in the form of a rhombus having each side 81 m and altitude 25 m. What is the side of a square
field which has the same area as that of the rhombus?​

Answers

Answer:

the side of a square is 45 m

Step-by-step explanation:

The computation of the side of the square field that contains the similar area as compared with rhombus is given below:

As we know that

Area of rhombus = Base × Altitude

= 81 × 25

= 2025

And, area of Square =  Side × side

2025 = side^2

side  = √2025

= 45m

Hence, the side of a square is 45 m

Which of these strategies would eliminate a variable in the system of equations? 5x+8y=-1 5x -8=-7

Answers

Answer:

To eliminate a variable in the system, we will have to subtract both expressions from each other

Step-by-step explanation:

Given the equations

5x+8y=-1

5x -8y=-7

To eliminate a variable in the system, we will have to subtract both expressions from each other

5x - 5x +8y-(-8y) = 1-(-7)

0 + 16y = 8

16y = 8

You can see that the variable x has been eliminated by simply subtracting both equations

y = 8/16

y = 1/2

Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.

Answers

Answer: I think that the sandwich is $4.25 (I'm not sure)

Answer:

s=4.25

Step-by-step explanation:

look at the screenshot for the steps! :)

H E L P M E P L E A S E

Answers

Answer:

B: 56 ounces no hate If I am wrong :)

It’s 56 because you have two 8 ounce servings in one pound. Every pound is 2 8 ounce servings so you would multiply 28 by 2 to get y r answer. 56

cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area​

Answers

Is this in Spanish?

Is there a linear relationship between height and volume? Explain how you know.

Answers

Answer:

Yes

Step-by-step explanation:

The volume is for example the area of a circle times the height. If you divide the volume of a cylinder by the amount the radius is squared multiplied by pi, to calculate its height.

Yes, there exists a linear relationship between the height and the volume.

What is a linear relationship?

A linear relationship is a relationship between the variables in a linear fashion. The relations ships can positive, negative, and neutral. Volume is a scalar quantity that is expressed in three-dimensional space.

Example of volume for the area of a circle is times the height. If we divide the volume of a cylinder by the amount of R it can be squared and multiplied by pi, to find its height.

Find out more information about the volume.

brainly.com/question/21363459

The local newspaper has letters to the editor from 80 people. If this number represents 5 ​% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

Answer:

The newspaper has 1,600 readers.

5. John wants to make a scale drawing of a Dodge Viper. The length of the car is
approximately 9.5 feet. If he used a scale of 1 inch = 2 feet then what would the
length of the car be in the drawing?

Answers

Answer: 2.375 in

Hope this helps (:

Answer:

2.375 inches

Step-by-step explanation:

for every 2 feet, that is equivalent to 0.5 inches in the drawing. so count how many 2 feet in 9.5 feet first. there are 4.75.

mutiply 4.75 now by 0.5

that is 2.375 in inches

   

I need the answer to this question

Answers

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  [tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

ILL GIVE BRAINLY POINTS FOR THIS PLEASE HELP AND HURRY TO THANK YOUU

Answers

Answer:

1

Row 1: 445

Row 2: 541

Row 3: 637

2

349 + 4.80n

3

135

Step-by-step explanation:

1

For this, use the equation I gave you above to find the costs.

2

First, the cost of the printer will NOT change, for the number of printers Eddie needs to buy does not change, he only needs one. This already helps you figure out that 349 is not a coefficient to the variable, n. However, when it comes to the number of blank shirts Eddie needs to buy, the number of he gets does change, this is the dependent variable that makes the cost vary. Using the equation above, you can plug in any number.

For example, 20.

349 + 4.80(20) = 445

3

For this final part, I just kept using the equation until I got the closest number that is lower than 1000. In this case, 135 got me 997, and 136 was just a few decimals away from 1000, but it was still over.

Answer:

i donno

Step-by-step explanation:

Write an inequality to represent a number is at most two".​

Answers

Answer:

Step-by-step explanation:

X<= 2

Which is x is less than or equal to 2.

Answer:

[tex]n\leq 2[/tex]

Step-by-step explanation:

The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?

Answers

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

[tex]f(x)=-0.9x+665[/tex]

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

[tex]f(x)=-0.9x+665[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-0.9[/tex]

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

HELP 10 POINTS ===== NEED HELP NOW

Answers

Second one and I definitely agree with what the person said , I use photomath for my maths questions , all u do is take a picture of it :)
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