Answers
[tex]\left\{\begin{array}{ccc}x+y=-2\\2x-3y=-9\end{array}\right\\\\\text{multiply the first equation by 3}\\3(x+y)=3(-2)\qquad|\text{use distributive property}\\3x+3y=-6\\\\\underline{+\left\{\begin{array}{ccc}3x+3y=-6\\2x-3y=-9\end{array}\right}\qquad\text{add 3x+3y=-6 to 2x-3y=-9, and solve for x}\\.\qquad5x=-15\qquad|:5\\.\qquad x=-3\\\\\text{Substitute the value of x in the first equation (x+y=-2)}\\\\-3+y=-2\qquad|+3\\y=1\\\\\text{The solution for the system of equations is (-3, 1)}[/tex]
Answer:
...
Step-by-step explanation:
Related Questions
Solve this 2 system equations 2x - y = 7 and 6x - 3y = 14
Answers
2x-y=7
-y=-2x+7
y=2x-7 Plug this in for y in the other equation
6x-3(2x-7)=14
6x-6x+21=14
21=14 This is false therefore the equations are inconsistent
Answer:
No solution
Step-by-step explanation:
Consider the given two lines
2x-y = 7 and 6x-3y = 14
Multiply the first equation by 3
6x-3y = 21 and Ii equation is 6x-3y =14
We observe both are of the 6x-3y = k for different ks
Hence these two are parallel lines.
As parallel lines never meet these line will not meet at all.
There cannot be any solution for this system.
If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as
0 = 7
This confirms that this system cannot be solved.
What is 12 divided by 9.6
Answers
1.25
hope this helps ya :)
An automobile saleswoman earns 12% on all of her sales. Last month, she sold 3 cars for a total sales amount of $28,950. What is her commission?
Answers
Answer:
3474
Step-by-step explanation:
28,950/100=289.5 289.5*12=3474
The total commission earned by the saleswomen on the sales of three cars is $3474.
What is the meaning of the term commission?Sales commission is an important component of sales compensation. It is the sum of cash earned by a salesperson according to the number of sales made. This is extra money that often supplements a regular salary.For the given question;
Total commission on the sales of an automobile by saleswomen is 12%.
Total last month sales = $28,950.
Then,
12% of $28,950 is;
= 12 × $28,950 / 100
= $3474
Thus, the total commission earned by the saleswomen on the sales of three cars is $3474.
To know more about the commission, here
https://brainly.com/question/957886
#SPJ2
What is ten times two?
Answers
Answer:
10x2=20
Step-by-step explanation
you add 10 2 times and you get 20 a more simple way of getting the answer.
Hope this helped =)
Basic geometry help please !
Find the missing angle measurements.
The options are :
60°, 64°, 45°, 49°, 53°
Answers
Answer:
Top right ?- 60
? above 64- 64
Bottom left- 45
Step-by-step explanation:
Triangles equal 180.
The question mark above 64, the 64 and ? are congruent so the question mark is 64.
The question mark in top right, add 64+56=120. Since triangles equal 180, subtract 180-120=60
The question mark in bottom left, add 64+71=135. Since triangles equal 180, subtract 180-135=45
Hope it helps!
The value of the three missing angles are 45°, 60°, and 64°.
We have,
From the figure,
we have vertical angles.
So,
One missing angle is 64°.
Now,
There are two triangles.
The sum of angles in a triangle is 180.
So,
56 + 64 + x = 180
x = 180 - 56 - 64
x = 60°
And,
The sum of angles in a triangle is 180.
So,
71 + 64 + y = 180
y = 180 - 71 - 64
y = 45°.
Thus,
The value of the three missing angles are 45°, 60°, and 64°.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Absolute Value.
Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.
A)-4
B)4
C)10
D)0
Answers
The answer is B 5+-3--2 =4
3x +5 = 2x+8 how do i solve?
Answers
Answer,
X = 3
Explanation,
Subtract 5 from both sides.
3x+5-5=2x+8-5
Simplify.
3x=2x+3
Subtract 2x from both sides.
3x-2x=2x+3-2x
Simplify.
x=3
Hope this helps :-)
1. Identify a pair of alternate exterior angles.
a. <3 and <4
b. <1 and <2
c. <1 and <6
d. <2 and <6
*i think it's d. So I just need to know if it's incorrect or correct.
Answers
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Option a. ∠3 and∠4
These angles are interior angles.
Option b . ∠1 and∠2
These angles are linear pair.
Option c . ∠1 and ∠6
These angles are outer angles
Option d . ∠2 and ∠6
According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles
Hence Option d is pair of alternate exterior angles.
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
Is this equation true, false or open? 9p+8=10p+7
Answers
9p+8=10p+7
9p - 10p = 7 - 8
-p = -1
p = 1
TRUE
The equation 9p+8=10p+7 is a true equation as it provides a specific solution upon rearrangement and simplification which is p = 1.
Explanation:The equation you have provided: 9p + 8 = 10p + 7, is what we refer to as an equation in algebra. A way to determine if an equation is true, false or open is by attempting to solve. Firstly, let's put all 'p' terms on one side of the equation and numbers on the other. It would look like this after simplification: 10p - 9p = 8 - 7, which simplifies to: p = 1. Since we found a specific solution (p = 1), this means the equation is classified as true.
Learn more about True equation:https://brainly.in/question/54129069
#SPJ2
What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0? A. slope = -2, y-intercept = B. slope = 2, y-intercept = C. slope = -2, y-intercept = D. slope = 2, y-intercept = E. slope = -2, y-intercept =
Answers
The correct answer is that the slope is equal to -2 and the y-intercept is equal to 2/3.
To find this, follow the order of operations and solve for y.
3(y − 2) + 6(x + 1) − 2 = 0 ----> distribute
3y - 6 + 6x + 6 - 2 = 0 -----> combine like terms
3y + 6x - 2 = 0 -----> subtract 6x
3y - 2 = -6x -----> add 2
3y = -6x + 2 -----> divide by 3
y = -2x + 2/3
Now we can find the slope as the coefficient of x (-2) and the intercept as the constant (2/3)
Answer: The slope of the given line is -2 and y-intercept is [tex]\dfrac{2}{3}.[/tex]
Step-by-step explanation: We are given to find the slope and y-intercept of the following equation of a line:
[tex]3(y-2)+6(x+1)-2=0~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope-intercept form of the equation of a line is given by
[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.
From equation (i), we have
[tex]3(y-2)+6(x+1)-2=0\\\\\Rightarrow 3y-6+6x+6-2=0\\\\\Rightarrow 3y+6x=2\\\\\Rightarrow 3y=-6x+2\\\\\Rightarrow y=-2+\dfrac{2}{3}.[/tex]
Thus, the slope of the given line is -2 and y-intercept is [tex]\dfrac{2}{3}.[/tex]
PLEASE HELP 98 POINTS!!!!!!
What is the reason for each step in the solution of the equation?
19=5x−1
Drag and drop the reasons into the boxes to correctly complete the table.
19=5x−1
20=5x
4=x
Combine Like Terms, Division Property of Equality, Addition Property of Equality, Commutative Property, Given
Answers
19 = 5x - 1
Solve for x.
Note the equal sign. What you do to one side, you do to the other. Isolate the x. Do the opposite of PEMDAS.
=> Addition Property of Equality.
Add 1 to both sides
19 = 5x - 1
19 (+1) = 5x - 1 (+1)
=> Combine like terms
Add 19 and 1
19 + 1 = 5x
20 = 5x
=> Division property of equality
Divide 5 from both sides
(20)/5 = (5x)/5
x = 20/5
x = 4
----------------------------------------------------------------------------------------------------------------------------
hope this helps
~Rise Above the Ordinary
PLEASE HELP FAST FOR 3 QUESTIONS 30 POINTS AVAILABLE!!!
Answers
Answer:
Hmm for the 4th question i think its 36.4
and 5th is interpolation
hard to read number 6 btw sense its not focused
hope i helped
branliest answer pls
Evaluate the expression using properties of operations.
-1.2 ÷ 1/6 * 5 * (-2)
A. -72
B. 2
C. 72
D. 120
Answers
-1.2:-12/10 simplify :
-6/5 ÷ 1/6 * 5 *(-2)
-*-:+
6/5 ÷ 1/6 * 5 * 2
6/5 * 6 * 5 * 2
/5 and 5 we delete it by reducing
: 6*6*2 this is equal to 72
Answer:
I would say C 72 you because I took test on and I made 100
Simplify the expression. Write your answer as a power.
(b^12)^3
Answers
Hello Tim!
[tex](b^1^2)^3\\[/tex]
First you had to apply exponents rule.
[tex]b^1^2^*^3[/tex]
Refine it should be the correct answer.
[tex]=b^3^6[/tex]
Answer⇒⇒⇒b³⁶
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
Its super duper easy but please help!
Answers
Answer:
each person would get 4 with 4 left over
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
24/3=8
I need help finding the common difference for 3 !
Answers
What is the value of the expression evaluated for x = 12?
Answers
Answer:
A)-26
Step-by-step explanation:
Answer:
-26
Step-by-step explanation:
Tin A has red paint and blue paint in the ratio 2:3. Tin B has red paint and blue paint in the ratio 4:5. Which tin has the greater proportion of blue paint? Explain how you know.
Answers
Alex buys 5.5 yards of blue fabric and 4.5 yards of red fabric. If the blue and red fabric cost the same amount per yard, and alex pays $74 for all of the fabric, what is the cost per yard?
Answers
$7.40, if you add 5.5 and 4.5 it will equal 10. Then you divide 74 by 10.
Answer:
7.50
Step-by-step explanation:
I had this b4
convert 6/9 into a fraction with d
enominator of 27
Answers
To convert the fraction 6/9 to a fraction with a denominator of 27, multiply both the numerator and denominator by 3. The resulting fraction is 18/27.
Explanation:To convert the fraction 6/9 into a fraction with a denominator of 27, first identify the multiplication factor that changes 9 into 27. In this case, it's 3 (because 9*3 = 27). You need to maintain the fraction equivalent by applying the same operation to the numerator. So, multiply 6 by 3 to get 18. Therefore, the equivalent fraction of 6/9 with a denominator of 27 is 18/27.
Learn more about Fractions here:https://brainly.com/question/33564650
#SPJ3
If EF=7, AC=16
Geometry
Answers
See the attached picture:
What are the hypothesis and conclusion of the following statement? Write it as a conditional first. Statement: Residents of Key West live in Florida.
Answers
In the statement 'if you are a resident of Key West, then you live in Florida', the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.
Explanation:The given statement is, 'Residents of Key West live in Florida'. This is a given fact in a single sentence. In terms of a conditional statement, the hypothesis is the 'if' part and the conclusion is the 'then' part.
Let's write the statement as a conditional: 'If you are a resident of Key West, then you live in Florida'. In this statement, the hypothesis is 'you are a resident of Key West' and the conclusion is 'you live in Florida'.
Learn more about Conditional Statements here:https://brainly.com/question/36974334
#SPJ2
A football team lost 9 yards during a play the team had a combined gain or loss of 0 yards after the next play what interger represents the yards gained or lost on the next play ? Show this on the number line .
Answers
Answer:
The integer represents the yards gained or lost on the next play is 9.
The required number line is shown in figure 1.
Step-by-step explanation:
Consider the provided information.
A football team lost 9 yards during a play.
Represent Lost with a negative sign.
Thus, lost of 9 yards can be written as: -9 (As shown in the provided figure)
Now it is given that the team had a combined gain or loss of 0 yards after the next play.
Let they gain or lost x score in next play.
-9 + x = 0
Add both the sides by 9
x = 9
It means team must gain 9 yards.
So, the integer represents the yards gained or lost on the next play is 9.
Now represent this on number line.
Move 9 digit right to -9.
The required number line is shown in figure 1:
Mrs. Santos has 24 students in her class. Five-eighths of her students have nicknames. Mr. Russo also has 24 students in his class. Only one-third of his students have nicknames. How many students from Mrs. Santos' class and Mr. Russo's class do not have nicknames?
Answers
In Mrs. Santos' class, five-eighths of the students have nicknames, meaning that three-eighths don't have nicknames. Three-eighths of 24 is 9, so 9 students don't have nicknames.
In Mr. Russo's class, one-third of the students have nicknames, meaning that two-thirds don't have nicknames. Two-thirds of 24 is 16, so 16 students don't have nicknames.
Therefore, there are 9 students from Mrs. Santos' class and 16 students from Mr. Russo's class who don't have nicknames.
65834 rounded to the nearest ten thousand
Answers
You keep the 6 and the 5 tells you to add 1 to the 6
Answer:
70,000
Step-by-step explanation:
65834
First, identify the ten-thousands digit.
4 - ones digit
3 - tens digit
8 - hundreds digit
5 - thousands digit
6 - ten-thousands digit.
The 6 is the ten-thousands digit.
First, make every digit to the right of the ten-thousands digit zero.
You get 60,000.
Now check the digit just to the right of the ten-thousands digit. If it is zero through 4, you are done. If it is 5 through 9, the 6 goes up 1 to 7. The digit to the right of the ten-thousands digit is 5, so the 6 goes up 1 to 7, and the answer is 70,000.
An apple is cut into 10 pieces. 0.8 of the apple is eaten.
Which fraction, in simplest form,represents the amount of the apple that is left?
Answers
Answer:
0.2
Step-by-step explanation:
Round 5,403.264 to the nearest hundred.
Answers
The answer is 5,400 because you take out the decimal and the 3 and make it 400 because hats what you do in rounding
Graph the inequality y> 2x +3
Answers
Graph the inequality y> 2x +3
Solution
Step 1: To graph the inequality, we need to find a few coordinates and form the table.
Step 2: Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
Steo 3: Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
if you know that 7 - square root 5 is it root of a polynomial function
Answers
Answer:
As you must know, If one root of the polynomial 7-√5, the other will be 7+√5 i.e irrational root occur in pairs.
A polynomial function cannot have single unreal i.e irrational root. It always occur in pairs.
So , consider a polynomial function of any degree, if it has a root 7-√5, then it must have another root as 7+√5.
A polynomial can't have 7-√5 as a single root.
how long would it take?
Answers
To find how long it would take, you must divide the total amount of gallons of water in the pond by the amount of gallons drained per hour. This would translate to:
4290 ÷ 78
Which would give you the total amount of hours needed to completely drain the pool, aka the answer:
4290 ÷ 78 = 55