reduce the following fractto their lowest form​

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

Answer:

  (x, y) = (5, -4)

Step-by-step explanation:

The second equation gives you an expression for x that can be substituted into the first equation.

  (2y +13) -3y = 17 . . substitute for x in the first equation

  -y = 4 . . . . . . . . . . . subtract 13 and simplify

  y = -4

  x = 2(-4) +13 = 5 . . . use the second equation to find the value of x

The solution is (x, y) = (5, -4).

_____

Additional comment

When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...

Substitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).

Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.

The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.

One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.

Answer:

x > 14 ; x < 12

Step-by-step explanation:

Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14

Area < 138, so that means 3*(4x-2) < 138, so x < 12

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

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Answer:

38.14 but if rounded up it becomes 38.15

Answer:

Slope = m = 2.50

Y-intercept = b = 2.50

Step-by-step explanation:

Given equation is:

[tex]y=2.50x+2.50[/tex]

Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:

Slope = m = 2.50

Y-intercept = b = 2.50

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

this equation is error because of -7and 4y two this is not have + or - that's why

Answer:

80%

Step-by-step explanation:

Nine would equal ten percent, so we double that to get twenty percent, so 18 is twenty percent. Therefore we can determine that it is a 80% decrease.

Answer: 4 17/30

Step-by-step explanation:

2 2/5 - 1 1/3 + 3 1/2

(2 12/30 - 1 10/30) + 3 15/30

1 2/30 + 3 15/30 = 4 17/30

Have a nice day, and if you could be so nice as to give me a brainliest

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

Answer:

1/4 is on the second line

3/8 is the the third one

3/8 is bigger

Hope This Helps!!!

Answer:

Hope this helps you.......

Step-by-step explanation:

We don't know if AB is a hypotenuse or leg.

If AB is hypotenuse:

If AB is leg:

For base/Perpendicular

For Hypotenuse

The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.

Based on the information given, the equations to solve the question will be:

28s + 4a = 262 ....... i

22s + 2a = 191 ....... ii

Multiply equation i by 2

Multiply equation ii by 4

56s + 8a = 524

88s + 8a = 764

Subtract the equations above

32s = 240

s = 240/32 = 7.5

Student's tickets = $7.5

Adult's ticket will be:

22s + 2a = 191 .

22(7.5) + 2a = 191

165 + 2a = 191

2a = 191 - 165

2a = 26

a = 26/2 = 13

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Answer:

20.

Step-by-step explanation:

We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:

4/10=x/50.

Cross-multiplying, we have 200 = 10x, and x = 20.

I’m not sure what you’re asking here

Answer:

the tip is $20 and the food costs $120

Step-by-step explanation:

it says that the bill is 120

when family leaves they spend 140 total

140-120=20

$20 tip

Answer:

x = 1

Step-by-step explanation:

Answer: The answer is that the slope is 9.

Answer:

2*2*2*3*5

Step-by-step explanation:

It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

One theme of the poem Dream variations is the desire to live freely and expressively (option A).

In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.

About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:

         In the face of the sun"

or in

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Answer:

Step-by-step explanation:

I took the quiz :)

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

- 30 - 2³ × 3

= - 30 - 8 × 3

= - 30 - 24

= - 54

Follow the order of PEMDAS.

P =》Parenthesis

E =》Exponents

M =》Multiplication

D =》Division

A =》Addition

S =》Subtraction

____

Hope it helps ⚜

Answer:

D. 3 1/4

Step-by-step explanation:

Answer:

your answer would be D.

Step-by-step explanation:

all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.

Answer:

heres my fake account and name

Step-by-step explanation:

The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

The corresponding angles in the image given are: ∠2 and ∠3.

Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.

In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

Learn more about corresponding angles on:

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Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.