Translate the following sentence into a mathematical equation. The sum of 10 and five times a number is the same as the difference of the number and 6

Answers

Answer 1

Answer:

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]

Step-by-step explanation:

The given statement can be converted into a mathematical equation step by step.

First of all, we have to suppose a variable for the number as we don't know the exact number.

So,

Let x be the number then

five times a number => 5x

The sum of 10 and five times a number => 5x+10

the difference of the number and 6 => x-6

Putting in equation form we get

[tex]5x+10 = x-6[/tex]

Hence,

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]


Related Questions

²[tex]2x^2-1414x=24[/tex]

Answers

The correct answer is 707.016 but just 707 is correct:)
707 hope this helped

can anybody help me with this

Answers

Answer:1. 2 day

Answer:2.8/16

Answer:3.2 hours

Step-by-step explanation:make sure to rate me with 5 stars and thank me

Order these three values from least to greatest. Explain or show your reasoning using the "show your work option".
65% of 80
82% of 50
170% of 30

Answers

82% of 50, 170% of 30, 65% of 80. (in order: 41, 51, 52)

Six students are working to simplify the expression shown. Drag each student’s answer to a box to show whether it is fully simplified equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

Answers

Answer: The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

 (2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

2x -18x +14y -19 = -16x +14y -19 . . . not the same

-2xy -1 . . . not the same

16x +14y -1 . . . not the same

9 -16x +14y -10 = -16x +14y -1 . . . equivalent

-16x +14y -1 . . . equivalent and simplified

2x -18x +14y -1 = -16x +14y -1 . . . equivalent

Step-by-step explanation:

10

Steve has 54 stamps in his collection of 13€,

294, and 45¢ stamps, totaling a value of $15.98.

If the number of 13¢ stamps is doubled, the

new total value of his stamp collection would

be $17.80. Find the number of each type of

stamp in his collection.

A) 14- 13€, 24 - 294, 16 - 45€

they felt like it

B) 16- 134, 25 - 294, 13- 45°

she lost a bet

C) 15 - 13€, 24-29€, 15 - 45°

she was bored

D) 15 - 13€, 25 - 294, 14- 454

she thought it was cool

E) 14- 13¢, 25 - 29%, 15 - 45°

it would be fun

Gina Wison II Ting Alpebra LC), 2016

Answers

This question was not written properly

Complete Question

Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.

Answer:

a) The number of 13 cent = 14

b) The number of 29 cent = 24

c) The number of 45 cent = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's

Number of 13 cent = a

Number of 29 cent = b

Number of 45 cent = c

Hence,

a + b + c = 54........... Equation 1

The total value of the 3 stamps are $15.98.

1 cent = $0.01

We have

0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2

We know from the question that:

13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Therefore

2(0.13a) + 0.29b + 0.45c = 17.8

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

Combining Equation 2 and 3 together

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3

We eliminate b and c by Subtracting Equation 3 from 3

0.13a = 1.82

a = 1.82/0.13

a = 14

a + b + c = 54........... Equation 1

Since a = 14

14 + b + c = 54

b + c = 54 - 14

b + c = 40

c = 40 - b

Substitute 40 - b for c and 14 for a is Equation 2

0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2

0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98

= 1.82 + 0.29b + 18 - 0.45b = 15.98

Collect like terms

1.82 + 18 - 15.98 = 0.45b - 0.29b

3.84 = 0.16b

b = 3.84/0.16

b = 24

Hence: Solving for c

a + b + c = 54........... Equation 1

14 + 24 + c = 54

38 + c = 54

c = 54 - 38

c = 16

Therefore,

The number of 13 cent = 14

The number of 29 cent = 24

The number of 45 cent = 16

What are the four types of slopes? Write an equation for each of the four types of slopes.(in slope intercept form) 9th grade geometry HELP

Answers

Answer: positive,negative,zero,undefined,

Step-by-step explanation:

Equations examples

Positive: y=7x-4

Negative:-5x+3

Zero:y=0x-3

Undefined : x=3

Hope the image I attached helps you identify the slope easier :)

The four types of slopes are negative, positive, zero, and undefined.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Slopes come in 4 different types: negative, positive, zero, and undefined.

Examples of equations

Positive: y=7x-4

Negative: -5x+3

Zero : y=0x-3

Undefined : x=3

Therefore, the four types of slopes are negative, positive, zero, and undefined.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Is the graph linear or non-linear?

Answers

Answer:

Linear.

Step-by-step explanation:

A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!

I really need help with this

Answers

Answer:

a. x=11°

b. ABC=106°, BCA=33° and BAC=41°

c. Sorry but I can't see the lines l and m

Step-by-step explanation:

a. the question stated that the sum of the measures of the angles in the triangle is 180°

so therefore equate all the values in the triangle to 180°

(9x+7)+ 3(x) + (3x+8)=180°

15x+ 15=180

15x=180-15

15x=165

Divide both sides by 15

therefore x=11

b. ABC=(9x+7)

where there is x put the x value you solved for there which is 11

therefore ABC=(9×11+7)= 106°

Do the same for BCA and BAC

Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second? Round to the hundredths if necessary.

Answers

9514 1404 393

Answer:

  18.64 miles

Step-by-step explanation:

There are 1.609344 km per mile, so the distance traveled in 1 second is ...

  (30 km)(1 mi)/(1.609344 km) ≈ 18.64 mi

The Earth travels around the Sun at the rate of about 18.64 miles per second.

Answer:

18.64 if rounded

Step-by-step explanation:

First you need to know how many miles is 1 kilometer. That would be approximately 0.62137 miles. Multiply this by 3 and you would get 1.86411. Now multiply this by 10 to make it 30 kilometers worth of miles and not 3 kilometers. You would get 18.6411 which rounded to the hundredths place would be 18.64.

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

The total surface area of the cuboid is 120 cm2

At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

3000 people

Step-by-step explanation:

4% teenagers --> 120 teenagers were there

120/4 means 1% so 30 is 1%

1% times 100 is 100% so 30 times 100 equals 100% so 3000 is 100% of the people at the stadium

4%=1/25
120/1= 120*25= 3000

.04*3000= 120

3000 people in total

You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons

Answers

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

Help quickly!!! Will give points!!

Answers

Answer:

you need to show the examples

Step-by-step explanation:

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the second cyclist bike in 45 minutes?

Answers

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles

Find the distance between the points (3, 9) and (-9, -7).

Answers

Answer:

20

I hope this helps!

An airline charges more money for bags weighing over 50 pounds. Your bag weighs 45.83 pounds. How much more weight can you put in your bag before it reaches 50 pound

Answers

Answer:

4.17 Pounds

Step-by-step explanation:

To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!

$50. MP3 downloads cost $1.5 each. How many songs can he download
and still have $12

Answers

25 songs he can download

Answer:

25 MP3 downloads

Step-by-step explanation:

If he starts off with $50 then these are the steps

$50 - $1.50 = $48.50 for 1 MP3

$48.50 - $1.50 = $47.00 for 2

$48.50 - $1.50 = $45.50 for 3

then repeat that until we have $12

it doesnt give us exactly $12 but it gives us $12.50 reminder

So he can but 25 MP3 downloads and still have at least $12 remining

Hope this helps plz give me brainliest I worked really hard

Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)

Answers

Answer: (-1.5, 2) and (-1.5, -3.5)

Step-by-step explanation:

The distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

A simpler case, is when we have two points where one of the components is the same for both of them, like:

(a, b) and (a, c)

Then the distance will be:

D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI

Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5

The solution will be:

(-1.5, 2) and (-1.5, -3.5)

Where the x-component is the same in both of them, then the distance will be:

D = I2 - (-3.5)I  = I2 + 3.5I = 5.5

Need help on 7-8, thank you in advance! :)

Answers

Answer:

7)

a. y = 1/3x - 2

b. m = 1/3, b = -2

8.

a. y = -1/3x -5

b. m = -1/3, b = -5

Step-by-step explanation:

7.

2x - 6y = 12

-6y = -2x + 12

y = 1/3x - 2

8.

x + 3y = -15

3y = -x - 15

y = -1/3x -5

c.

For a complex number, multiplying by the conjugate always gives which of the following? Select one: O A Non-negative complex number O B. Non-negative real number O C. Negative real number D. Positive rational number E. Negative irrational number​

Answers

Answer:

B. Non-negative real number

Step-by-step explanation:

For a complex number, multiplying by the conjugate always gives Non-negative real number

Find the sum.. -3/2 + 8/5 ​

Answers

Answer: 0.1 or 1/10

Step-by-step explanation:

1/10 is the answer you are looking for

Helps me solve this problem please

Answers

Step-by-step explanation:

2x + 5y = 6

move it = y= -2x+6

the slope is -2

so, the slope is negative

Which one represents a proportional relationship?

Answers

Line D, because starts at the origin which is (0,0) and continues as a strait line. A and C does not start the the origin and line B does not travel in a strait line.
Hope this helps you

6. Write the
equation
(0,5) and (5,1)

Answers

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line

The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.

Answers

Answer:

For every hour the car is parked, the cost increases by $5.

Step-by-step explanation:

The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.

The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5.  Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".

9-9÷9+9-9÷9=??????


25 points


and brainits for the first right answer

Answers

Answer:0.00015241579

Step-by-step explanation:

The answer is 17! :D

Have a good day <3

A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )

Answers

Answer:

129.97

Step-by-step explanation:

19.99+29.99+79.99=129.97

6. At a football game, the home team gave a football to each of the first 1,000 fans who arrived at the stadium. Each football cost $31. What expression can you write that shows the total cost of the footballs?

Answers

Answer:

1,000*31 = 31,000

Step-by-step explanation:

since the first 1000 fans get a ball and each ball costs $31 then u multiply

The equation of the line in the graph is y= (blank) x+ (blank)

Answers

Y= -1x + -1 is the answer

this is one thing in math I can't figure out.

Answers

Answer:

12/9 and 4/3... Hit it in the calculator

Other Questions
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