4x - 2y = -20
7x + 2y = -2
Answers
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-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 - 5Step 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 = 6Step 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 = -2Step 6: Graph systems
Check the system.
Related Questions
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]
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.
Write an equation in standard form.
Answers
Answer:
[1,2]; m = 7
Step-by-step explanation:
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.
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.
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:
What is the sum of two consecutive numbers is 141
Answers
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".
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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.
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
giving brainliest !!!
Answers
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
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
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
p=40
hope this help you
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.
Find the gradients of lines A and B.
Answers
To solve for gradient, do (y2-y1)/(x2-x1)
So what do you think?
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
What is the area, in square feet, of the shaded part of the rectangle below?
5ft
17 ft
11 ft
Answers
121 ft2
Square Footage = 121 ft2
Square Yards = 13.444444 Yd2
Square Meters = 11.241263 m2
Acres = 0.002778 acre
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 vThen 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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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:
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
1,682inches rounded to the nearest hundredth is 1,68?
,
Answers
Answer:
correct its 1.68
Step-by-step explanation:
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
giving brainliest !!!
Answers
Answer:
Given
Step-by-step explanation:
Statement 1: AB is parallel to CD is justified as 'Given'
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.
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.
Prove that 11n-4n is divisible by
7 for all positive integers.
Answers
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
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-interceptThe 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 lineLet 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
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
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.
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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
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