Need help with the equations thank you

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

Answer:

C

Step-by-step explanation:

Any value of x makes the equation true.

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

Answer:

400

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

Answer:

what is the equation?

Step-by-step explanation:

Answer:

17in, 49in, 35in

Step-by-step explanation:

I did this in my RSM homwork and it is correct.

First, I added the two inches shorter to the 101, then subtracted 1 longer and got 102.

then divide 102 by how many second lengths, 6. so 102 ÷ 6 = 17

17 is the second length.

3x17-2=49 (another length)

2x17+1=35 (last length)

and there is your answer!

First side : 49

Second side : 17

Third side : 35

If triangle has sides a, b, c , then the perimeter of that triangle will be P= a +b +c.

Now, according to the question

Let  second side be (b) = x unit

then, First side will be  (a)= 3x-2 unit

and Third side will be  (c)= 2x + 1 unit

since , perimeter is 101

P = a + b + c

x + 3x -2 + 2x + 1 = 101

6x - 1 = 101

x= 17

hence , b = 17 unit

a= 3*17 - 2 =49 unit

c = 2*17 +1 = 35 unit

Lets learn more about perimeter of a triangle

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Answer:

$31.70

Step-by-step explanation:

Answer:

B. $1.45 + $0.55 is less than or equal to $35

Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.

Answer:

Given a=35 and ∠β=42°,

b = 31.51414

c = 47.09715

∠α = 48° = 0.83776 rad = 4/15π

h = 23.41957

area = 551.49748

perimeter = 113.61129

inradius = 9.7085

circumradius = 23.54857

Step-by-step explanation:

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

Answer:

[tex]\huge\boxed{x=-26}[/tex]

Step-by-step explanation:

[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]

Answer:

-26

Step-by-step explanation:

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751

Answer:

-21/11

Step-by-step explanation:

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

Answer:

3.4X10^-4

remove the zeros and add a decimal point after the first number eg.

0.00034 -->  34 --> 3.4

then add a x 10 eg.

3.4x10

then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.

3400 -> 34 -> 3.4 -> 3.4x10^2

If the number is lower than one use a negative power eg.

0.00034 -> 34 -> 3.4 -> 3.4x10^-4

(Hope this helps sorry if its to complicated)

4Answer:

exact form:

[tex]\frac{21}{5\\}[/tex]

decimal form:

4.2

mixed number form:

4[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

Least 6.7x10-3     0.67    6.7%  6/9 Greatest

Step-by-step explanation:

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Answer:

0

Step-by-step explanation:

First, you have 3x and subtract 18x from it. This gives you -15x.

Then you have positive 26x, so you add 26x onto -15x.

After doing so, you have a positive 11x.

Now you need to subtract 11x from 11x.

Your final answer is 0! (No need to put x since it is just zero.)

Have a nice day and mark brainliest if you can, I would appreciate it tons!

Answer:

[tex]7 \leq x \leq 9[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is [tex]x \leq 9[/tex].

For the second part, all real numbers greater than or equal to 7 in algebra is [tex]x \geq 7[/tex].

To combine both inequalities, it would become [tex]7 \leq x \leq 9[/tex].

Hope this helped! If not, please let me know! <3

The real numbers are 7, 8, and 9.

We are given two statements:

We have to use these two statements, form an inequality for the real number and find the real numbers.

Inequality is a relation that makes a non-equal comparison between two mathematical expressions.

There are five types of inequality:

[tex]Less~~than~ = ~ < \\Greater~~than~=~ > \\Less~~than~~or~~equal~~to~=~\le\\Greater~~than~~or~~equal~~to~=~\ge[/tex]

Let the real number be x.

Now using the two given statements we have,

[tex]x\le9\\x\ge7[/tex]

If we combine these two equations we get,

[tex]7\le x \le 9[/tex]

Thus we can say that the real numbers are 7, 8, and 9.

Learn more about inequalities of real numbers here:

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Answer:

mark brainlest45

Step-by-step explanation:

in one hour she can make 9 ( 27 divided by 3)

so in 5 hours 45 bc 5x9 is 45

Answer:

11.43 centimeters

Step-by-step explanation:

Given the equivalent ratios :

StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark

1 inch / 2.54 cm = 4.5 inch /?

Let missing value = x

1 inch / 2.54 cm = 4.5 inch /x

Cross multiply

1 inch * x = 2.54 * 4.5

1 inch * x = 11.43

x = 11.43 cm

Hence, missing value = 11.43 centimeters

Answer:

it is multiply and 11.43

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

Answer:

154+2x=360

Step-by-step explanation:

Since the opposite angles are the same you add them together getting 154. You now have two unknown angles that are congruent which is expressed as 2x, and since a four sided shape always has an interior angle of 360 you set it equal. This gives you 154+2x=360.

Answer: It is the last one

154 + 2x = 360

Step-by-step explanation:

x= 103

154 + 2(103)= 360

154 + 206 =360

Answer:

They pay a total of  $1750.

Step-by-step explanation:

You multiply the hours by the pay per hour SO,

Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"

Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"

Add the total sums ($750 + $1000) and get a total of $1750

Answer:

Throughout the clarification section following, the definition of the problem is mentioned.

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

                      Maurice's number                             Hani's number

                                   2                                                        3

                                   3                                                        4

                                   6                                                        7

                                   9                                                        10