Answers
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Related Questions
Consider the sets below.
U=x| x is a real number}
A= x| x is an odd integer)
R=x|x=3, 7, 11, 27}
Is RCA?
O yes, because all the elements of set A are in set R
O yes, because all the elements of set R are in setA
O no, because each element in set A is not represented in set R
O no, because each element in set R is not represented in set A
Answers
Answer: BBBBBB
Step-by-step explanation:
The correct option is,
"Yes because all the elements of set R are in set A"
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given the following sets;
U = {x | x is a real number}
A = {x | x is an odd integer}
R = {x | x = 3, 7, 11, 27}
Hence, The elements of the set A are,
⇒ A = {1, 3, 5, 7, 9, 11...}
R ⊂ A can be interpreted as R is a subset of A
i.e all the elements of R can be found in A.
Since, all the elements of R are all odd integers and can be fi=ound in A, hence R ⊂ A is TRUE.
The correct option is "Yes because all the elements of set R are in set A"
Learn more on subset here:
brainly.com/question/2000547
#SPJ5
standard form for y=mx+b
Answers
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
values for 24/25 ÷ 4/5.
Answers
Answer:
1.2
Step-by-step explanation:
24/25 ÷ 4/5
Change the numbers from division to decimals. PS: this is the same thing just written much easier.
0.96/0.8
1.2
Segments that join opposite vertices in a quadrilateral called (medians, diagonals)
Answers
Answer:
Step-by-step explanation:WAT
Stacy's Weekly salary is $1516.52 what is her annual salary?
Answers
Answer:
Does she get paid once every week?
Step-by-step explanation:
Please Simplify 5(x - 6)
Answers
Final Answer: [tex]5x - 30[/tex]
Steps/Reasons:
Question: Simplify [tex]5(x - 6)[/tex]
Step 1: Expand by distributing the terms.
[tex]5x + 5[/tex] × [tex]-6[/tex]
Step 2: Simplify [tex]5[/tex] × [tex]-6[/tex] to [tex]-30[/tex].
[tex]5x - 30[/tex]
~I hope I helped you :)~
Our equation looks like:
[tex]5(x-6)[/tex]
This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (Note: you only distribute when variables are involved.)
[tex](5 \cdot x)-(5 \cdot 6)[/tex]
Simplify:
[tex]5x-30[/tex]
We cannot simplify any further, so we know that our equation, until we know what x equals, is [tex]5x - 30[/tex].
Please help!!! what’s the answer ? :((
Answers
Answer:
B
Step-by-step explanation:
Because there parallel
Help asaaaaap please
Answers
Answer:
A. 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-5x - 1 ≤ -9
Step 2: Solve for x
Add 1 to both sides: -5x ≤ -8Divide -5 on both sides: x ≥ 8/5Here we see that any value x greater than or equal to 1.6 would work as a solution.
Therefore, our answer is A. 1, as it doesn't work as a solution.
can someone help me, I really need help .
Answers
Answer:
5) 12 6) -12 7) -6 8) 2 9) 80 degrees 10) 40 degrees
Step-by-step explanation:
:)
A picture of two horses pulling a carriage to the left.
A free body diagram with 5 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 14,700 N. The second vector is pointing right, labeled F Subscript f Baseline = 75 N. The third vector is pointing upward, labeled F Subscript N Baseline = 14,700 N. The fourth vector is pointing left, labeled F Subscript pi Baseline = negative 1000 N. The fifth vector starts at the tip of the fourth vector, is pointing left, labeled F Subscript p2 Baseline = 800 N. The up and down vectors are the same length. The right vector is shorter than the left vector.
Two horses, Thunder and Misty, are accelerating a wagon 1.3 m/s2. The force of friction is 75 N. Thunder is pulling with a force of 1,000 N, while Misty is pulling with a force of 800 N. The force of gravity is 14,700 N and the normal force is 14,700 N. What is the mass of the wagon? Round the answer to the nearest whole number.
Answers
Answer:
1,327
Step-by-step explanation:
I’ll mark brainlist if you help me get the right answer for this
Answers
Answer: 16% of men wanted sports cars
Step-by-step explanation:
25% - 9% = 16%
Answer:
I believe its 66, I'm not fully sure
If Mitch bicycles at an avenger speed of 18 miles per hour,how long will it take him to cover 76.5 miles?
Answers
Answer:
b
Step-by-step explanation:
Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these
Answers
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
Answers
Answer:
answer will be 67
Step-by-step explanation:
f(x) = 61 - x
x = -6
hence we substitute the value of x in f(x)
f(-6) = 61 - (-6)
= 61 + 6
= 67
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
f(x) = 6(1 - x)
The value of the function at x = -6 will be given as,
f(-6) = 6[1 - (-6)]
Simplify the equation, then we have
f(-6) = 6[1 - (-6)]
f(-6) = 6(1 + 6)
f(-6) = 6 × 7
f(-6) = 42
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!
Answers
Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
A gas can holds 101010 liters of gas. How many cans could we fill with 777 liters of gas?
Answers
Answer:
Step-by-step explanation:
the numbers might be wrong
if one can holds 101,010 liters
just 777 liters will fill easily in one can
Complete the point- equation of the line through (5,2) and (6,-3)
Answers
hope this helped
3) The sum of the digits of a two digit number is 10. If 36 is subtracted from the number,
the digit interchange their places Find the number
Answers
Answer:
impossible,unless number is zero
Answer:
73
Step-by-step explanation:
Number is xy
x+y=10 .....a
(10x+y) - 36 = 10y+x
10x-x+y-10y=36
9x-9y=36
9(x-y)=36
x-y=4 ....b
a+b: 2x = 14 x = 7
y = 10 - 7 = 3
The two digit number is 73
check: 7 + 3 = 10
73-36 = 37 (73 vs 37)
What is the name of the most dangerous fault line in the U.S.?
Your
Answers
That one in the san Andreas movie?
GEOMETRY- The coordinate grid below shows triangle ABC and its image after the translation, triangle A’B’C’:
Answers
Answer:
y-8
Step-by-step explanation:
count from point b to b'
Answer: y - 8
Step-by-step explanation:
Point A prime is 8 units below Point A, as goes for each of the other corresponding point pairs. (B and B prime, C and C prime)
What is the slope of the line with equation y-3=-1/2(x-2)?
-2
-1/2
1/2
2
Answers
Answer: m=-1/2
Step-by-step explanation:
The cost of 5 scarves is $31.25. What is the unit price?
Answers
Answer:
Step-by-step explanation:
Unit price = 31.25 ÷ 5 = 6.25
So each scarf costs 6.25
Answer:
$8.75 per scarf
Step-by-step explanation:
5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.
43.75 / 5 = 8.75
One scarf costs $8.75
Step-by-step explanation:
$8.75 per scarf
Step-by-step explanation:
5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.
43.75 / 5 = 8.75
One scarf costs $8.75
{2x−y=2 2x−2y=4 solve by sustitution
Answers
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
Answers
16/50=32%
Hope this helps
Have a great day/night
Answer:
"C" 32%
Step-by-step explanation:
hope this helps!
A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?
Answers
Answer:
60 in or 5 FT
Step-by-step explanation:
6 x 10 = 60 in
:D
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2 ,1) ; M= 5
Answers
Answer:
y-1=5(x+2)
Step-by-step explanation:
Point-slope form is y-y₁=m(x-x₁)
1 is y₁ so we would fill the first half as "y-1"
We know that m=5, so we can just put it in where m goes.
So far, we are at y-1=5
-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)
The final equation is y-1=5(x+2)
Please helppppp!!!!!!!!
Answers
Answer: I think it's B
Step-by-step explanation: You can use the answer if you want.
HELPPPPPPP I HAVE NO IDEA WHAT THE ANSWER IS!!!
Find the image of the letter for a reflection first across line L and then across line M. Is the resulting transformation a translation or a rotation? For a translation, describe the direction and distance. For a rotation, tell the center of rotation and the angle of rotation.
Which of the following shows the image in blue?
A.
B.
C.
Which of the following describes the resulting transformation?
A. It is a rotation about the point C. The angle of rotation is 76° clockwise.
B. It is a translation down to the right. The distance of the translation is twice the distance between the letter and M.
C. It is a translation down to the right. The distance of the translation is the distance between the letter and M.
D. It is a rotation about the point C. The angle of rotation is 152° clockwise.
Answers
Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
Answers
Answer:
2
Step-by-step explanation:
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Answers
85 - 17 = $68
He paid $68 for the jacket