k-3yStep-by-step explanation:
For the given equations, x + 3y = k and x-k= y, the value of x is equal to k.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
x + 3y = k (1)
and x-k= y, (2)
From equation (2) substitute the value of y in equation (1)
x+3(x-k)=k
⇒4x-3k=k
⇒x=k
So the value of x is equal to k.
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The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.
Answer:
k = 2 cm
Step-by-step explanation:
3 x 15 x k = 90 cm^3
45 x k = 90 cm^3
k = 90/45 = 2 cm
Which equation represents a line which is parallel to the line y = -5/8x + 6?
A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32
Step-by-step explanation:
y = -5x/8 + 6
8y = 8 × (-5x/8 + 6)
8y = -5x + 42
5x + 8y = 42
5x + 8y = K, k element real
Option → D
The equation for parallel line is 5x + 8y = 32.
The correct option is (D).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Equation: y = -5/8x + 6
Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.
Then, writing the equation in slope intercept form
A) 8x + 5y = 10
5y= 10 - 8x
y= 10/5 - 8x/5
y= -8/5x + 2
B) 8x - 5y = 15
-5y= 15 - 8x
y= 8/5 x + 3
C) 8y - 5x = -24
8y= -24 + 5x
y= -24/8 +5/8x
y= +5/8x - 3
D) 5x + 8y = 32
8y= 32 -5x
y= -5/8x + 4
Hence, the equation for parallel line is 5x + 8y = 32.
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(20pts) I need to know who is incorect and why
Answer:
i thig it is hj
Step-by-step explanation:
jk
The length of a rectangle is 4 units more than triple its width. If the perimeter is 64,
what is the length of the rectangle?
Answer: Length = 25, width = 7
Step-by-step explanation:
Let width be w, and length be 3w + 4.
Perimeter of a rectangle = 2l + 2w
64 = 2(3w + 4) + 2w
64 = 6w + 8 + 2w
64 = 8w + 8 [subtract 8 from both side]
56 = 8w [Divide 8 from both side]
w = 7
Plug w in l, where l = 3w + 4 = 21 + 4 = 25
what’s the answer this is due tomorrow help asap
Answer : Quadrilateral
A number equals four less than three times the number.
Answer: y=3x-4
Explanation:
Four less than a number is _____ -4
Three times a number is _______ *3
four less than three times a number is ______*3-4
Theres a 4 at the bottom but i couldn't get it in
Answer:
See answer below.
Step-by-step explanation:
1. Start at point (0,0), This point is where the x-y-axis meet. Do not put a dot
there because this is your starting point.
2. Move to the left over to point -1 3/4 . This place is between -1 and -2, and
closer to -2 because the point is -1 .75. Remember this point is not on the
graph.
3. Now move up from that point to 4.5 and put a dot at that place. The point is in the Q II , to the left top.
five more than one-third of a number is -2. Find the number
Answer:
x = -21
Step-by-step explanation:
Words To Algebra:Words : Five more than one-third of a number = -2
Algebraic Equation: 5 + (1/3)x = -2
Isolate x:5 + (1/3)x = -2 [tex]\longmapsto\\[/tex] Subtract 5 from both sides
5 + (1/3)x - 5 = -2 - 5
(1/3)x = -7 [tex]\longmapsto\\[/tex] Multiply All sides by 3
(1/3)x * 3 = -7 * 3
x = -21
Check:5 + (1/3)-21 = -2
5 + -7 = -2
-2 = -2
-Chetan K
Emmitt runs 5 miles in 40 seconds. How long will it take him to run 8 miles?
Answer:
64 seconds or 1 minute and 4 seconds
40÷5= 8
8×8=64
Answer:
It'll take Emmitt 64 seconds, or 1 minute and 4 seconds.
Step-by-step explanation:
set a proportion;
5 8
---- = ---
40 x
8/5 = 1.6
40 x 1.6 = 64
x = 64
Will give brainliest, need assistance ASAP!
six times a number plus 4 is 16. what is that number?
Answer:
12
Explanation:
6x2: 12
16-12=4
What’s x?
Answer:
I pretty sure it is F.1cm
Which of the following functions has the roots of -1 and 2? *
a. f(x) = x² – x – 2
b. f(x) = x² + x – 4
c. f(x) = x² + x + 2
d. f(x) = x² – x + 5
Which equation can be formed when we substitute the ordered pair (1, 4) in the equation y = ax² + bx + c? *
a. 4 = a + b + c
b. a = 4 + b + c
c. b = a + 4 + c
d. c = 4 + a + b
Answer:
first one is A
second one is A
Step-by-step explanation:
yeah-ya.... right?
Name one similarity between the measure of a clockwise and counterclockwise rotation.
Answer:
they go around
Step-by-step explanation:
140% of what is 45? I'm so confused please help
#CarryOnLearning
Question 7 50 points
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k
Can you help me on this question Plss??
it is nonlinear and it is constant
Answer:
Linear; constant
Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)
Answer:
my gosh, hirap kaya niyan, pareho lang ta u d alam sagot
does anyone know how to solve this?
Answer:
yea you have to line it up
Where ia the function decreasing?
Answer:
The function is decreasing for x > -1
Step-by-step explanation:
100 points plz help!!!!
Answer:
it is ez
Step-by-step explanation:
45 75 145
Answer:
.
Step-by-step explanation:
64t-16t^2>28 how do i solve this?
Answer:
0.5 < t < 3.5
Step-by-step explanation:
[Given] 64t-16t^2>28
[Rewrite] 64t - 16t² > 28
[Subtract 28 from both sides] 64t - 16t² - 28 > 0
[Reorder] - 16t² + 64t - 28 > 0
[Solve Using The Quadratic Formula] 0.5 < t < 3.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
how many groups of 6 are in 95?
Answer:
15
Step-by-step explanation:
It does not divide evenly, but there are 15 groups of 6 in 95.
Two friends, Peyton and Aaron, took summer jobs. The equation y
= 29.8.0
represents Aaron's earnings in dollars and cents, y, for working 2 hours. Peyton
earned $627 in 22 hours.
Use the dropdown menu and answer-blank below to form a
true statement.
Aaron earns $
per hour
w than Peyton.
Answer:
Aaron earns $1.3 per hour more than Peyton
Step-by-step explanation:
Aaron's income is represented by y=29.8x
x represents the number of hours worked
Given that Peyton earns 627 in 22 hours. We want to know how much Aaron earn in 22 hours. We then substitute 22 into the equation as x.
y = 29.8(22)
y = $655.6 in 22 hours
This means that Aaron earns $655.6 in 22 hours.
Therefore, Aaron earns 28.6 dollars more in 22 hours.
We want to know the rate per hour so we divide 28.6 by 22.
rate per hour = 28.6/22
rate per hour = $1.3
Therefore, Aaron earns $1.3 per hour more than Peyton.
Write the inequality.
The sum of negative 3 and a number is no more than two
Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
factorize ax^2 + bx by using identities
Answer:
ax^2+bx=x(ax+b)
Please mark as brainliest
Step-by-step explanation:
Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.
(−4, −65)
(4, −1)
(2, 7)
(−2, −25)
Answer:
it is correct but -65 is not correct
1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)
a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?
Answer:
2.67 is the answer
Step-by-step explanation:
tell me if i am rong
please help for my math i rlly need it ill give big points and brainliest
Answer:
a) x2 = 10
b) x2 − 40 = 0
c) 3x2 − 600 = 0
d) x2 + 12 = 0
Answer:
[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]
[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]
[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]
[tex]\frac{-24a+36b-48c}{4}[/tex]
[tex]-6a+9b-12c[/tex]
[tex]-3(2a-3b+4c)[/tex]
So,
[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]
X = (-3)
Y = (-3)
Z = 4
Hope this helps you.
Let me know if you have any other questions :-)
