4x - 2y = -20
7x + 2y = -2

Answers

Answer 1

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 2y = -20

7x + 2y = -2

Step 2: Rewrite systems

4x - 2y = -20

Add 2y to both sides:                    4x = 2y - 20Divide 4 on both sides:                 x = 1/2y - 5

Step 3: Redefine systems

x = 1/2y - 5

7x + 2y = -2

Step 4: Solve for y

Substitution

Substitute in x:                         7(1/2y - 5) + 2y = =-2Distribute 7:                              7/2y - 35 + 2y = -2Combine like terms:                11/2y - 35 = -2Add 35 to both sides:              11/2y = 33Isolate y:                                   y = 6

Step 5: Solve for x

Define original equation:                    7x + 2y = -2Substitute in y:                                     7x + 2(6) = -2Multiply:                                                7x + 12 = -2Subtract 12 on both sides:                   7x = -14Divide 7 on both sides:                        x = -2

Step 6: Graph systems

Check the system.

4x - 2y = -207x + 2y = -2

Related Questions

Determine which statement uses a valid argument.

A.
If it is hot outside, then Matt will not wear a jacket. Matt is not wearing a jacket. Therefore, it is hot outside.
B.
If it is Tuesday, then the library is open. The library is open. Therefore, it is Tuesday.
C.
If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.
D.
All practicing lawyers must pass the bar exam. Chris did not pass the bar exam. Therefore, Chris is a practicing lawyer.

Answers

Answer:

The answer is C.

Step-by-step explanation:

- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.

Answer: C

Explanation:
A is wrong because it just specifies a certain situation, when Matt could be not wearing a jacket because he is inside.

B is wrong because it is not specified that Tuesday is the only day the Library is open.

C is right because it does specify under what conditions the museum is closed, and the following statement falls under the condition.

D is wrong because it established that all need to pass to be a practicing lawyer, Chris did not pass, but it is asserted that he is a lawyer making this assertion invalid.

R
B
R
P-
a
0
Wb
Z
Z
4. a) In the adjoining figure, show that a = 90° -
2
AAX
YAB
A​

Answers

Step-by-step explanation:

qbbab w qnajkwkqqnnqnwn

A) 90° - Right angle

Prove that 11n-4n is divisible by
7 for all positive integers.​

Answers

See the attachment ....

A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?

PLEASE HELP ME WILL REPORT IF TROLL

Answers

Answer:

The answer is 1470 seconds.

Step-by-step explanation:

Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Part A Is the relationship linear? How do you know? ​

Answers

Answer:

The relationship is linear.

Step-by-step explanation:

A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.

The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:

y=m*x + b

In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:

y=5*x + 253

The relationship is linear.

The first time the us enacted a temporary income tax was

Answers

Answer:

the revenue act of 1862

Step-by-step explanation:

President Abraham Lincoln signed it

The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?

Answers

Answer: -48 yd

Step-by-step explanation:

1,682inches rounded to the nearest hundredth is 1,68?

,

Answers

Answer:

correct its 1.68

Step-by-step explanation:

3. Which is equivalent to the expression below?
4e 6 -2e + 5f + 2 - 2
a. be + 3f + 4
b. 2e + 7f + 4
C. 6e + 7f + 8
d. 2e + 3f + 8

Answers

Answer:

B

Step-by-step explanation:

I took an educated guess because i really wasnt sure

Answer:

B. 2e + 7f + 4

Step-by-step explanation:

I took the quiz

A bridge is supported by triangular braces. IF the sides of each brace have the lengths 3 feet, 46 feet, and 40 feet, find the measure of the angle opposite of 46 feet side.

Answers

Answer:

46.76

Step-by-step explanation:

Applying the law of cosines

What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft

Answers

Results
121 ft2
Square Footage = 121 ft2
Square Yards = 13.444444 Yd2
Square Meters = 11.241263 m2
Acres = 0.002778 acre

Find the slopes of the liner functions
Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?

Answers

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

m = -2

∵ m is the slope of the line represented by the given equation

The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

x1 = 6 and y1 = 0

x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]

m = -1

∵ m is the slope of the line shown in the graph

The slope of the line shown in the graph is -1

giving brainliest !!!

Answers

Answer:

Given

Step-by-step explanation:

Statement 1: AB is parallel to CD is justified as 'Given'

Write an equation in standard form.

Answers

Answer:

[1,2]; m = 7

Step-by-step explanation:

Plss see the attachment....

giving brainliest !!!

Answers

It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.

A ratio can be expressed as a _______________ description, with a _______________, or as a _______________. I need help filling in the blanks.

Answers

Answer:

A ratio can be expressed as a word description, with a colon or as a fraction.

Step-by-step explanation:

A ratio can be expressed as a word description, with a colon or as a fraction.

Quantitatively, a ratio is a number representing a comparison between two named values. It is the relative magnitude of two quantities usually expressed as a quotient.

Thus, a ratio can be expressed as a word description between two quantities, for example:

four to five.

It can be represented with a colon. i.e  4:5

Or as a fraction i.e. [tex]\dfrac{4}{5}[/tex]

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.

Answers

Answer:

read

Step-by-step explanation:

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ 24 > 16

B:

✔ –22 < –6

C:

✔ 21 > –18

D:

✔ –25 < 5

Multiplying both sides of an inequality by a positive number

✔ does not change

the inequality symbol.

Here  fools the rights answers  hope it helps O<O

Answer:

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

Find the mean of the list of data.
49, 65, 41, 38, 87, 55, 95, 106
I can’t find the answer

Answers

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

[tex]49, 65, 41, 38, 87, 55, 95, 106[/tex].

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

8. John is looking for a job after graduation. The salary which he is satisfied with must be
$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256

Answers

Answer:

A

Step-by-step explanation:

Becuase he wanted more then 3000

The answer is A I took the test :)


Help help help help help

Answers

Answer:

Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.

Step-by-step explanation:

Given function is:

[tex]f(x) = -\frac{3}{4x}[/tex]

There are few steps to find inverse of a function. We will apply them one by one onto the function

Step 1: Replacing f(x) with y

[tex]y = -\frac{3}{4x}[/tex]

Step 2: Replacing y with x and x with y

[tex]x = -\frac{3}{4y}[/tex]

Step 3: Solving the equation in step 2 for y

[tex]x = -\frac{3}{4y}\\y = -\frac{3}{4x}[/tex]

Step 4: Replacing y with inverse of f

[tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex]

Hence,

Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.

Hurry Please!!!

True or False

The graph of y=2x is similar but also different from the graph

of y=2x−7.

True
False

Explain the reasoning of your answer above.

Answers

Answer:

True

Step-by-step explanation:

The lines has the same slope but y=2x-7 is lower than y=2x

Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

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Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in

Answers

Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

Find the gradients of lines A and B.

Answers

Hey, you didn’t provide any picture or further context.

To solve for gradient, do (y2-y1)/(x2-x1)
So what do you think?

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.

Answers

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]

Hence,

There are 60 boys and 80 girls in Franklin School.

Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation

Answers

The equation doesn’t equal each other
6090=5649

The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

The given equation is 7 × 870 = 5600 + 49.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Now, product of two numbers 7 and 870 is

7 × 870=6090

⇒ 7 × 870 = 5600 + 490

Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

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Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.

Answers

Answer: 4. Transporting quests to and from the airport and sightseeing trips.

Step-by-step explanation:

Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.

Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.

What is the value of p in the proportion below?
20/6 = p/12

O 2
O 10
O 40
O 72​

Answers

Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

Reduce the fraction on the left side.

10/3 = p/12

Cross multiply.

3p = 10 * 12

Divide both sides by 3.

p  = 10 * 4

p = 40

20/6 = p/12
p=40
hope this help you

1. Simplify the expression.

9m - 5n + m - 2n
2.Simplify the expression.

3 - 1 v + 7v - 1

Answers

Answer:

1. 10m - 7n

2. 6v - 1

Step-by-step explanation:

9m - 5n + m - 2n

10m - 7n ( combine like terms).

2.  - 1 v + 7v - 1

6v - 1 (combine like terms)

Answer:

1. 9m-7m

2. 6v+2

Step-by-step

Im pretty sure that the answer

What is the sum of two consecutive numbers is 141

Answers

Two consecutive numbers can be written as:
x , x+1

So their sum being 141
x + x +1 = 141

Combine and solve for c

2x = 140
x = 70

So two numbers are:

70,71

The two consecutive integers such that their sum is 141 will be 70 and 71.

What is a number system?

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

For more about the number system,

https://brainly.com/question/22046046

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