Solve by factoring x^4+6x^2-27=0

Answer:

100 of the 20$ tickets, and 60 of the 35$ tickets

Step-by-step explanation:

20*x + 35*y = 4100

x + y = 160

That means x = 160 - y, put this into the first equation

20(160 - y) + 35y = 4100

3200 - 20y + 35y = 4100

15y + 3200 = 4100

15y = 900

y = 60

Put y = 60 into the second equation and

x + 60 = 160

x = 100

y = 60, x = 100

Double check that this works for both equations to make sure its right

20 * 100 + 35 * 60= 4100

2000 + 2100 = 4100 /Correct

100 + 60 = 160 /Correct

The required amount of mixed juice without the apple juice is 5.553.

Given that,

A fruit juice company includes 1.197 ounces of apple juice in a 6.75​-ounce bottle of mixed fruit juice.  To determine how much of the bottle of mixed fruit juice is NOT apple ​juice.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The total amount of mixed juice = 6.75 ounces,
Amount of apple juice contains = 1.197
Amount of mixed jo=uice without apple juice = 6.75 - 1.197 = 5.553

Thus, the required amount of mixed juice without the apple juice is 5.553.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

Step-by-step explanation:

3x + y = 11

5x - y = 21

8x = 32

x = 4

3(4) + y = 11

12 + y = 11

y = -1

(4, -1)

Answer:

  35

Step-by-step explanation:

Let h represent the number of hot dogs Ryan eats in 15 minutes. Since the rates are the same, we have ...

  dogs/minutes = h/15 = 14/6

Multiplying by 15 gives us ...

  h = (15·14)/6 = 35

Ryan can eat 35 hot dogs in 15 minutes.

Answer: x = 16

Step-by-step explanation:

PQ = 26

PM = 1/2 PQ (M is midpoint of PQ)

PM= 1/2x + 5 = 1/2 * 26

or x = 2(13 - 5) = 16

The value of x is 16 units.

The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.

(here y is replaced by n).

According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.

As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.

We know

PM + MQ = PQ

1/2x + 5 + 1/2x + 5 = 26.

x + 10 = 26.

x =16.

learn more about lines here :

https://brainly.com/question/1626339

#SPJ2

Answer:

1679616

Step-by-step explanation:

Answer:

1679616

Step-by-step explanation:

Answer:0.47 cents per cup

Step-by-step explanation:

Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer

Answer:

[tex]GH=2\sqrt{10}[/tex]

Step-by-step explanation:

Considering each is square is 1x1.

We have the points G(-2, -3) and H(0, 3).

Using the distance formula:

[tex]$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$[/tex]

[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]

[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]

[tex]$d=\sqrt{4 +36}$[/tex]

[tex]d=\sqrt{40}=2\sqrt{10}[/tex]

Also, using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]2^2+6^2=c^2[/tex]

[tex]4+36=c^2[/tex]

[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]

Answer:

1

Step-by-step explanation:

There was 2 apples. He ate 1.So 2-1=1.

1 apple is left.

Answer: 1

Step-by-step explanation: 2-1=1

Answer:

Domain All real x.

Range f(x) >= 1.

Step-by-step explanation:

The domain is all real numbers.

|x| is always positive.

At x = 0:

f(x) = |0| + cos 0

= 1  which is the minimum value.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication

[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]

[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14

[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56

[tex] \hookrightarrow{ \sf{k = 53}}[/tex]

The value of k is 53

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Step-by-step explanation:

k/14 + 3 = 4

k/14 = 1

k = 14

Answer:

1

Step-by-step explanation:

h(-2)=-3(-2)-5

h(-2)=6-5

h(-2)=1

h(-2)=1

x=-2, but i'm assuming you want h(x)

Answer:

The number is 888888

Step-by-step explanation:

Here, we are interested in knowing the six digit number thought of by No time.

The clue we have here is that the six digit number has same value of digit for all its constituent.

Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.

So the 6 digit number is 888888

Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.

Step-by-step explanation:

Answer:

it would be 11:07

Step-by-step explanation:

what grade are u in???

Answer:13

Step-by-step explanation:

13^2

Step-by-step explanation:

C = 25p

p = number of people

C = Total cost of admission

For 4 people, Total cost is

C = 25 × 4 = 100 dollars

Answer:

The answer is d because they are similar

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )

[tex]\frac{y}{9}[/tex] + 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

The simplest form of the number 12/24 is,

⇒ 1 / 2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The fraction is,

⇒ 12 / 24

Now, We can simplify the fraction in simplest form as;

⇒ 12 / 24

⇒ 6 / 12

⇒ 3 / 6

⇒ 1 / 2

Thus, The simplest form of the number 12/24 is,

⇒ 1 / 2

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

Answer:

it is 16 dollars

Step-by-step explanation:

if you divide 200 by 12 it is 16 aka i used my calculator

Answer:

each lesson would cost $16.70

Answer:

yes pls continue we need full questions

Answer:

A single value in a domain corresponding to multiple values in a range does not mean a relation is a function.

Step-by-step explanation:

there is no step by step because this is just simple math

Answer:

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Step-by-step explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c

Answer:

12+ 1.50r = 42

1.50r = 42-12

1.5r = 30

r= 30/1.5 = 20

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

y = 8

Answer:

Ages: 4 and 4

Equation: 4+4=8

Step-by-step explanation:

x+y=8

4+4=8