Answer:
b = 13
Step-by-step explanation:
5 + b = 18
-5. -5. -5 on both sides to get b by itself
b = 13
Solve by elimination. 4x+6y=-12 2x+3y=4
Answer:
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
solving the system by the elimination method
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]
[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]
subtracting the equations
[tex]4x+6y=8[/tex]
[tex]-[/tex]
[tex]\underline{4x+6y=-12}[/tex]
[tex]0=20[/tex]
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
The answer to my question.
Answer:
145°
Step-by-step explanation:
As per the given information: quadrilateral ABCD is a parallelogram.
[tex] m\angle B + m\angle DCB =180\degree \\[/tex]
(adjacent angles of a parallelogram)
[tex] 110\degree + m\angle DCB =180\degree \\
m\angle DCB =180\degree - 110\degree \\
m\angle DCB =70\degree\\
m\angle DCG=\frac{1}{2} m\angle DCB \\(\because GC \: bisects \: \angle DCB) \\
m\angle DCF=\frac{1}{2}\times 70\degree... (\because C-G-F) \\
m\angle DCF=35\degree\\
m\angle BFC = m\angle DCF = 35\degree\\ (Alternate \: \angle s) \\\\
m\angle BFC + m\angle CFA = 180\degree\\ (straight \: line \: \angle s) \\\\
35\degree + m\angle CFA= 180\degree\\
m\angle CFA = 180\degree-35\degree \\\\
m\angle CFA= 145\degree \\\\
\huge\purple {\therefore m\angle GFA = 145\degree} \\(\because C-G-F) \\[/tex]
How do you know whether two quantities x and y are proportional?
Answer: first one
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
If the total value of the coins is 36¢, what is the missing coin?
Answer:
1 penny 3 nickels 2 dimes = 36 cents
quarter
Step-by-step explanation:
Triangles ABC and DEF are shown below. Angle A measures 51°, angle Fmeasures
39°, and x = 6.
7.5
10
Is ABC is similar to DEF?
Answer:
Yes
Step-by-step explanation:
yes
They both have interior angles of 90-51-39, which automatically makes them similar. You could also see the dilation factor of .75 based on the 2 sides of a right angle to prove it.
ΔABC and ΔDEF are similar by AA Similarity Theorem.
Given in the question,
In ΔABC,
m∠A = 51°AB = 8 unitsBC = 10 unitsIn ΔDEF,
m∠F = 39°EF = 7.5 unitsTo prove these right triangles similar, we can use AA-Similarity Theorem,
By applying triangle sum theorem in ΔDEF,
m∠D + m∠E + m∠F = 180°
m∠D + 90° + 39° = 180°
m∠D = 51°
Hence, ∠D ≅ ∠A and ∠E ≅ ∠B
Therefore, ΔABC ~ ΔDEF [By AA Similarity Theorem]
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Maryse bought a jacket from the store for $90.95. Shepaid a 7% sales tax when she bought the jacket. How Much was the jacket before the sales tax?
Help me with this question ASAP!!!!!!!!!!!!
Answer:
Yes by AA similarity
Step-by-step explanation:
<ACB is congruent to <ECD by vertical angles, so we have one pair of comgruent angles.
<B is congruent to <CDE because they are both 90 angles, so we have another pair of congruent angles.
Triangle ABC is similar to triangle EDC by AA similarity.
I hope this helps! :)
Sarah earned $36.00 mowing lawns. She saved 1/6 of her money. After saving, how much money does Sarah have left?
What is the limit of [(x+2) /(x+1)] ^x as x approaches to infinity?
first thing we need to do is factorise because we can't calculate infinity/infinity
and we are left with 1^infinity this is an euler function
an euler function looks like this
Digit realizes that some members of the audience cannot see the bride and groom due to the current seating arrangement. Therefore, the "U" shape in which the wedding party is organized needs to be widened so that the entire audience fits in between the outer boundaries of the "U" shape. In other words, the audience will be located above the upward-opened parabola formed by the bridal party.
What type of transformation is needed to widen the shape in which the wedding party is currently organized?
a dilation
a reflection
a translation
a rotation
Answer:
A dilation
Step-by-step explanation:
i
Mallie's car dealership expects to sell 18 cars every 6 days. Based on this information, how many days does the dealership expect that it will take to sell 90 cars
Answer:
30 days
Step-by-step explanation:
1 way:
18 cars/6 days = 3 cars/1 day
90cars/3 cars a day= 30 days
another way:
90 cars/18 cars= 5
6 days * 5= 30 days
prime number between 60 and 80. the tens digit is one less than the ones digit. what is the number
Answer:
67
Step-by-step explanation:
The number of prime numbers between the whole numbers 60 to 80 is 5 which are 61, 67, 71, 73, and 79.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
The prime number between 60 and 80 is given below.
61, 67, 71, 73, and 79
The number of prime numbers between 60 to 80 is 5 which are 61, 67, 71, 73, and 79.
More about the Algebra link is given below.
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1. Place a _____________ on the number line for the number in the expression.
Answer:
the answer is a equation
Step-by-step explanation:
because u supposed to make it a equation in order for it to be a expression.
hope you get it right!!!!!!!!
Solve for the value of w.
(8w+6)"
2(4+3)
hope it helps ;)
-4(x+6)-2(-3x-9) simplify
Answer:
-4x-24+6x+18
Step-by-step explanation:
H=156-8t-16t^2 in seconds
Answer:If you use quadratic formula the answer is (rounded) 2.88s
Step-by-step explanation:
Answer:
2.882491 seconds
Step-by-step explanation:
H=156-8t-16t²
-16t²-8t+156=0
16t²+8t-156=0
4t²+2t-39=0
t=2.882491 seconds ................
which ordered pair is the solution set of -6x+2y>6
Answer:
C-(-3,4)
Step-by-step explanation:
100pts!!!PLZ answer my question for God's sake PLZ
3×2-2×y+c
hope that helps you
Answer:
lick a my suck a my
Step-by-step explanation:it is 3×2-2×y+c
I need help please I have to finish this
Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57
Answer:
The actual selling price is $58.04 and the markdown is $6.96
Hope this helps :)
Edna learned to sing a total of 16 pieces over the course of 8 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Edna be able to sing, in total? Assume the relationship is directly proportional.
What is the amount of nickels in the jar?
On the 6th grade camping trip there are two adults for every 11 students what's the ratio of adults to students
Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)
Answer:
the answer is (2, 45) geometric
The sum of two numbers is negative thirty-two. One number is two less than the other.
Call the numbers m and n.
Answer:
-15 and -17
Step-by-step explanation:
Magela is modeling 2.56/4. How should she exchange the place-value blocks so she can make 4 equal shares?
Answer:
i think you could......
Step-by-step explanation:
A+b=30, a-b=20, a/b=?
Answer:
5
Step-by-step explanation:
a+b=30
a=30-b------1
&a-b=20
a=20+b-----2
From eqn 1 and 2, we get
30-b=20+b
or, 10=2b
b=5
Now, a=20+5
a=25
Therefore, a/b=25/5
=5
Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5
The system of equations:
a + b = 30 - - - (1)a - b = 20 - - - (2)From (1) :
a = 30 - b - - - (3)
Substituting a = 30 - b into (2)
30 - b - b = 20
30 - 2b = 20
30 - 20 = 2b
10 = 2b
b = 5
From (3) :
a = 30 - 5
a = 25
Hence,
a/b = 25 / 5 = 5
Hence, the value of a/b is 5
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V = 2s^3
If s = 3.5 units, what is the value of V? The photo shows the answers available.
Answer:
21.0 Cubic Units
Step-by-step explanation:
2 times 3.5 = 7
7 times 3 = 21
Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces. What fraction of the total number of puzzle pieces has NOT been used? Enter your answer as a fraction, in simplest form, in the box provided.
Answer:
1/8
Step-by-step explanation:
7/12= 14/24 14/24 + 7/24= 21/24
21/24= 7/8 1-7/8= 1/8
The fraction of the total number of puzzle pieces has not been used is 1/8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Sara and Harry are putting together a puzzle. Sara put together 7/12 of the puzzle pieces. Harry put together 7/24 of the puzzle pieces.
The fraction of the total number of puzzle pieces has not been used is calculated as,
7/12= 14/24
21/24= 7/8
1-7/8= 1/8
To know more about an expression follow
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You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on
all sales for the month. Determine your gross monthly salary given that your sales on average are $7,891 per
month and you work 5 hours of overtime a week.
a. $4,011.78
b. $4,132.95
C. $4,269.90
d. $4,320.12
Answer: b
Step-by-step explanation:
The correct answer is:
C) $4269.90.
Explanation:
40 hours per week at 18.32:
40*18.32 = 732.80.
Over time is time and a half; this means:
18.32*1.5=27.48 per hour overtime.
5 hours of overtime per week would be:
27.48*5=137.40.
Together this makes:
732.80+137.40=870.20 per week.
There are 4 weeks in a month;
4*870.20=3480.80.
You make 10% commission on the sales; 10% = 0.1.
0.1*7891=789.10.
Add this to the monthly income:
3480.80+789.10=4269.90.
