Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)

The original price of the three video games before the discount was $200.

Sam purchased 3 video games for a total of $140 after receiving a 30% discount. To find the original price of the games before the discount, we need to divide the sale price by the percentage that Sam actually paid (100% - discount percentage).

The discount percentage is 30%, so Sam paid 100% - 30% = 70% of the original price. Since 70% is the same as 0.70 in decimal form, we can set up the equation:

$140 = original price * 0.70

To determine the original price, divide $140 by 0.70:

Original price = $140 / 0.70

Original price = $200

Therefore, the original price of the three video games before the discount was $200.

Answer:

300 teenagers

Step-by-step explanation:

6a + 5t + 4c = 5300

a + t + c = 1200

(8/3)*t = c

6a+4c+5t = 5300

a+c+t = 1200

3c-8t = 0

a = 100

c = 800

t = 300

Answer: c is the right answer

Step-by-step explanation:

Answer:

100/7 miles

Step-by-step explanation:

So 3 1/3 can be written as 10/3 and 4 2/7 can be written as 30/7. So multiplying, we get 300/21 which can be simplified to 100/7.

Answer:

Step-by-step explanation:

by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.

Answer:

$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40

Answer:

x=22

Step-by-step explanation:

The exterior angle is the sum of the 2 opposite interior angles of a triangle

6x+1 = 79+2x+10

Combine like terms

6x+1 = 89+2x

Subtract 2x from each side

6x-2x+1= 2x-2x+89

4x+1 = 89

Subtract 1 from each side

4x+1-1 =89-1

4x = 88

Divide by 4

4x/4 = 88/4

x =22

2xty=5 is not linear.

Answer,

-7

Explanation,

Hello! All we are doing here is simply subtraction :-)

-9 - 6 = -15

-15 - (-8) = -7

Hope This Helps :-)

Answer:

im pretty sure it is -7

Step-by-step explanation:

Step-by-step explanation:

Given system of equations :

x+5y=10 and 3x+y=1.

Let us solve the system of equation by substitution.

Solving second equation 3x+y=1 for y first.

3x+y=1.

Subtracting 3x from both sides, we get

3x-3x+y=1-3x

y = 1-3x.

Substituting y=1-3x in first equation x+5y=10, we get

x+ 5(1-3x) = 10.

x + 5 -15x =10

-14x +5 = 10.

Subtracting 5 from both sides, we get

-14x +5-5 = 10-5

-14x =5

Dividing by -14 on both sides, we get

-14x/-14=5/-14

x= -0.36.

Plugging x=-0.36 in second equation y=1-3x, we get

y = 1-3(-0.36) = 1+1.08 = 2.08.

Answer:

A (–0.3, 2.1)

Step-by-step explanation:

Answer:

PN = 70

Step-by-step explanation:

using the property that the diagonals bisect each other, then

PK = PN

5x = x² - 14 ( rearrange into standard form )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

but x > 0 ⇒ x = 7

PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70

Answer:

P= -2 NEGATIVE 2

Step-by-step explanation:

Answer:

B. -2

Step-by-step explanation:

Final answer:

The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.

Explanation:

Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.

Answer:

Linear regression is the relationship between two variables  x and y

One variable is dependent and the other one is explanatory variable

Regression line equation is shown in the attachment please have a look at it.

Table and graph is shown  in the file attached.

[tex]R^2\text{is the regression over two variables}[/tex]

x represents the number of days prom tickets have been on sale.

y represents  total number of tickets sold.

Answer:

x=24 in

Step-by-step explanation:

We can use proportions to solve this problem

5                15

------ =  -------------

8              x

Using cross products

5 * x = 8 *15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x =24

Hey there!

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

a

Step-by-step explanation:

i just took this

Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.

The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.

For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.

Thus, the correct statement to the student's question is option a) True.

Answer: y = 7, y = -1

Step-by-step explanation:

Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.

[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]

To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.

To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:

Answer:

18

Step-by-step explanation:

[ Answer ]

Y = -12 / 5

[ Explanation ]

Expand:

-3y - 9 = 2y + 3

Add 9 to both sides:

-3y - 9 + 9 = 2y + 3 - 9

Simplify:

-3y = 2y + 12

Subtract 2y from both sides:

-3y - 2y = 2y + 12 - 2y

Simplify:

-5y = 12

Divide both sides by -5:

-5y / -5 = 12 / -5

Simplify:

Y = -12 / 5

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A

E

And

F

They all add up to under 32.

Answer:

Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234

Step-by-step explanation:

Answer: Is your mom hot

Step-by-step explanation:

a. Given => m∠5 = 40°

b. Given => m∠2 = 140°

c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40

d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation

m∠5 + m∠2 = 180

Plug in the number for each angle

40 + 140 = 180

180 = 180 (True).

e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through Converse of Same Side Interior angle Theorem.

~

[tex]\left\{\begin{array}{ccc}5x+7y=-1&\text{multiply both sides by 2}\\4x-2y=22&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+14y=-2\\28x-14y=154\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad38x=152\qquad\text{divide both sides by 38}\\.\qquad \boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\5(4)+7y=-1\\20+7y=-1\qquad\text{substract 20 from both sides}\\7y=-21\qquad\text{divide both sides by 7}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=4\ and\ y=-3\to(4,\ -3)}[/tex]

Answer:

D. triglyceride:

Step-by-step explanation:

lipids are a groups of organic molecules, that are insoluble, that contain fatty acids, triglyceride, phospholipids, and sterols.

Answer:

[tex]a_{15}[/tex] = 5

Step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

[tex]a_{15}[/tex] = (- 3 × 15 ) + 50 = - 45 + 50 = 5

To find the 15th term, enter n = 15 into the nth term formula.

A list of numbers in a specific order is called a sequence. A term is the name given to each number in a sequence. A sequence has a place for each phrase (first, second, third and so on). Consider the sequence 5, 15, 25, 35, for instance. Each number in the series is referred to as a word. You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.

Sets of numbers that adhere to a pattern or norm are known as number sequences. It is referred to as an arithmetic sequence if the rule is to add or remove a number each time. It is referred to as a geometric sequence if the rule is to multiply or divide by the same integer each time.

A term is the name given to each number in a series. A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered elements (potentially infinite)

Detailed explanation:

Substitute n = 15 into the nth term formula to discover the 15th term.

a15= (- 3 × 15 ) + 50 = - 45 + 50 = 5

a15= 5

To learn more about Sequence refer to:

https://brainly.com/question/6561461

#SPJ2

Answer:

-1/2

Step-by-step explanation:

Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.

I hope that helps u out!!

Good luck! :)

Answer:

-1/2

Step-by-step explanation:

Grab a graphing calculator and enter the two points into STAT.

Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer

:)