One number is 9 more than twice another number. If the sum of the numbers is 129, find both numbers.

Answer:

A) 20+0.6[tex]x[/tex]

B) range is [0, 50] (i.e. both inclusive)

C) 8.33 litres

Step-by-step explanation:

Given that concentration of acid in 50 litre container is 40%.

Amount of acid in the container = 40% of 50 litres

Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]

[tex]x[/tex] litres are removed.

Amount of acid removed = 40% of [tex]x[/tex] litre.

Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre

Now, replaced with 100% acid.

So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre

Amount of acid in the final mixture:

[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]

Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]

Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.

so, range is [0, 50] (i.e. both inclusive)

Answer C)

Given that final mixture is 50% acid.

amount of acid = 50% of 50 litres = 25 litres

Using the equation:

[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]

Answer:

5 feet 1 inches

Step-by-step explanation:

if 1 foot is 12 inches.

Then, 60 ÷ 12

= 5

So, 61 inches tall = 5 feet 1 inches.

The answer is 5 feet 1 inches.

The Height of Alex in feet is 5.0833 feet.

To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.

Let's denote the height of Alex in inches as H in and her height in feet as H ft.

H in = 61 inches

H ft = ?

The equation to convert inches to feet is:

H ft = H_ in / 12

Substituting the value of H in into the equation, we have:

H = 61/12

H ft ≈ 5.0833 feet

Therefore, Alex's height is 5.0833 feet.

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Answer:

(4 * (1 + 2 * 3))^5

Step-by-step explanation:

Try many possibilites and see which one is greater.

The '5' should be an exponent, as it will make the result very large.

Multiplication is usually an operation that makes numbers very big.

Answer:

Expression for perimeter of rectangle is:

[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Step-by-step explanation:

Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and

length  of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.

To find:

The expression to represent the perimeter of rectangle in centimeters.

Solution:

First of all, let us have a look at the formula to calculate the perimeter of a rectangle.

Perimeter of a polygon is equal to sum of all the sides.

In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.

Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.

So, formula:

[tex]Perimeter = 2(l+w)[/tex]

Where [tex]l[/tex] is the length of rectangle and

[tex]w[/tex] is the width of rectangle.

Putting the values of length and width as given in the question statement to find its perimeter:

[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Answer:

one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Postulate 3: Through any two points, there is exactly one line.

Answer:

91 +3409/12500

Step-by-step explanation:

Did you mean simplify as a fraction?

Answer: I think it's C

Step-by-step explanation: hope it helps

Answer:

yes

Step-by-step explanation:

Answer: Yes it is, because this is written as a simple fraction. A non-simple fraction would be something like 2 1/2. Having that extra whole number in front makes it complex!

Step-by-step explanation:

◈ LHS :

[tex]:\implies\tt\:sin60\degree[/tex]

[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]

◈ RHS :

[tex]:\implies\tt\:\dfrac{2tan30\degree}{1+tan^230\degree}[/tex]

[tex]:\implies\tt\:\dfrac{2\times \dfrac{1}{\sqrt{3}}}{1+{\large(}\dfrac{1}{{\sqrt{3}}}{\large)}^2}[/tex]

[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{3+1}[/tex]

[tex]:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{4}[/tex]

[tex]:\implies\bf\:\dfrac{\sqrt{3}}{2}[/tex]

Hence Proved !!

Answer:

-39

Step-by-step explanation:

just took the quick check

Answer:

y = 3/2

Step-by-step explanation:

5(2y - 1) - 2(3y) = 1

First we use distributive property:

10y - 5 - 6y = 1

because 5 × 2y = 10y

and -2 × 3y = -6y

Now we combine the like terms:

4y -5 = 1

because 10y - 6y = 4y

Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)

4y = 1 + 5

Again we combine the like terms:

4y = 6

(because 5 + 1 = 6)

Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)

y = 6/4

and we simplify:

y = 3/2

And we cannot simplify or do anything else. So that is the answer.

Hope that helped!

Answer:

13%

Step-by-step explanation:

Given:

Apply discount:

Add VAT:

Solving the quadratic equation we get:

Then

Answer:

5x = 45

Step-by-step explanation:

x represents marcos

4x represents Share

5x = 45

x = 9

4x = 36

Share is 36 and Marcos is 9

Answer:

4x+x =45

Step-by-step explanation:

x would be marcos, since we do not know his age, and share is 4x that amount, so you would have 4x(shares age) plus x(marcos age) to get your answer.

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]

Answer:

The answer to this problem is x = 3 and y = -2.

Step-by-step explanation:

To solve this problem, we first have to remember how to solve problems using substitution.  We first solve one equation completely in terms of another variable.  In this case, this has already been done for us - the first equation is in the form y = f(x).  Next, we should substitute this "value" or function for y into the other equation.  This process is modeled below:

y = -4x + 10

y = -6x + 16

If we substitute, we get:

-4x + 10 = -6x + 16

Now this is a simple one variable equation that we can solve easily.  First, we should add 6x to both sides, giving us:

2x + 10 = 16

Then, we should subtract 10 from both sides, yielding:

2x = 6

Finally, we can divide both sides by 2 to get:

x = 3

Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.

y = -4x + 10

y = -4(3) + 10

y = -12 + 10

y = -2

Therefore, the answer to this problem is x = 3 and y = -2.

Hope this helps!

Answer:

x = 3

y = -2

Step-by-step explanation:

y = -4x + 10       first equation

y = -6x + 16        second equation

from the second equation:

6x = -y + 16

x = (-y + 16) / 6       third equation

substituying the value of the third equation into the first equation:

y = -4(-y+16)/6 + 10

y - 10 = -4(-y+16(/6

6(y-10) = -4(-y+16)

6*y + 6*-10 = -4*-y -4*16

6y - 60 = 4y - 64

6y - 4y = 60 - 64

2y = -4

y = -4/2

y = -2

from the third equation:

x = (-y + 16) / 6

x = (-(-2) + 16) / 6

x = (2+16)/6

x = 18/6

x = 3

Check:

from the first equation:

y = -4x + 10

-2 = -4*3 + 10

-2 = -12 + 10

Answer:

7.000l is a terminatin decimal.

Step-by-step explanation:

It is an terminating decimal because it stops right at 1, and the one is not repating too. If it was repeating it would be a repating decimal. We know it's not also an integer because we dont see a ngegative sign next to the seven.  

Therefore, 7.0001 is a terminating decimal.

Answer:

is that all the context that is given?

Answer:

A scientific idea can become a theory when you have enough prove to back it up and when it is supported by other scientists.

Answer:

Binomial

Step-by-step explanation:

how many terms are in the equation?

2 = Binomial

Answer: Binomial

Step-by-step explanation:

It contains two terms in 6p-8 (6p, and 8)

Thus it is binomial

Monomial: contains one term

binomial: contains two terms

trinomial: contains three terms

Hope this helps!! :)

Please let me know if you have any question

Answer:

1/10x+3

Step-by-step explanation:

1/6(3/5x+18)

Multiply 3/5x and 18 by 1/6

1/10x+3

The total lease cost assuming that the deposit is nonrefundable is $14046.

The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.

Given:

Length of lease: 24 months

MSRP of the car: $21,400

Purchase value of the car after lease: $17,100

So, Monthly payment= $479

So, Monthly payment after 24 month

= 11496

Thus, total lease cost =  Down payment + Security deposit + Acquisition

                                                                                                             fee

                                                               + payment for 24 months

Total lease cost = 1500+ 350+ 700+ 11496

                           = $14046

Hence, the lease cost is $14046.

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Answer:

1

Step-by-step explanation:

The coefficient is the number in front of the variable.  Since there is not a number written, there is an implied 1

x+4

1x+4

The coefficient is 1

Answer:

1/5

Step-by-step explanation:

5^-1/5^0

=5^-1/1

=1/5

[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]

We know f, now we want the 12f+1

Therefore, Substitute f = 9/6 in 12f+1

[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]

If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.

Answer : The value of x is 100.

Step-by-step explanation :

According to the question, the FH makes a line in which point G is present in between the line FH.

The diagram is shown below.

Given:

FG = (2x) meters

GH = 1000 meters

FH = 1200 meters

Now we have to calculate the value of x.

As we know that:

FH = FG + GH

Now putting all the given values in this expression, we get:

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100

Therefore, the value of x is 100.