Answer:
C
Step-by-step explanation:
To simplify the equation, all you need to do is add 12 to both sides to cancel out the -12.
The equations that are equivalent to the equation 3x - 12 = 24 are
3x = 36
x - 4 = 8
15x - 60 = 120
Options A, C, and D are correct.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: x + 2 = 7 is an equation.
We have,
3x - 12 = 24 ____(1)
From (1)
Adding 12 on both sides.
3x = 24 + 12
3x = 36 ____(2)
From (1)
Dividing 3 into both sides.
x - 4 = 8 ____(3)
From (1)
Multiplying 5 into both sides.
5 (3x - 12) = 5 x 24
15x - 60 = 120 ____(4)
From (2), (3), and (4) we see that,
3x = 36
x - 4 = 8
15x - 60 = 120
Thus,
The equations that are equivalent to the equation 3x - 12 = 24 are
3x = 36
x - 4 = 8
15x - 60 = 120
Options A, C, and D are correct.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
In parallelogram CNWK, ZC and ZK are consecutive interior angles. The
measure of ZC is (4a + 7)º and mZK = (7a – 3)º. What is mZC in
degrees?
Answer:
[tex] J. \:\:71\degree[/tex]
Step-by-step explanation:
CNWK is a [tex] ||^{gm} [/tex]
[tex] \therefore m\angle C + m\angle K = 180\degree [/tex]
(Adjacent angles of a parallelogram)
[tex] \therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\
\therefore (4a+7+7a - 3)\degree = 180\degree\\\\
\therefore (11a+4)\degree = 180\degree\\\\
\therefore 11a+4 = 180\\\\
\therefore 11a= 180-4\\\\
\therefore a= \frac{176}{11}\\\\
\therefore a= 16\\\\
\because m\angle C = (4a+7)\degree\\\\
\therefore m\angle C = (4\times 16+7)\degree\\\\
\therefore m\angle C = (64+7)\degree\\\\
\huge \orange {\boxed {\therefore m\angle C = 71\degree}} \\\\
[/tex]
3. Candy Kane Cosmetics (CKC) produces Leslie Perfume, which requires chemicals and labor. Two production processes are available: Process 1 transforms 1 unit of labor and 2 units of chemicals into 3 oz of perfume. Process 2 transforms 2 units of labor and 3 units of chemicals into 5 oz of perfume. It costs CKC $3 to purchase a unit of labor and $2 to purchase a unit of chemicals. Each year, up to 20,000 units of labor and 35,000 units of chemicals can be purchased. Each ounce of Leslie Perfume sells for $5.
Answer:
using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.
Total production = 6,666 x 3 = 19,998 ounces of perfume.
Total revenue = 19,998 x $5 = $99,990
Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662
Operating income = $53,328
Step-by-step explanation:
Variables:
P₁ = number of hours in process 1
P₂ = number of hours in process 2
P₁ yields 3 ounces of perfume
P₂ yields 5 ounces of perfume
both are sold at $5 per ounce
15P₁ + 25P₂
labor usage:
(1P₁ + 2P₂) x $3
3P₁ + 6P₂
chemicals usage:
(2P₁ + 3P₂) x $2
4P₁ + 6P₂
Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂
so we need to maximize 8P₁ + 13P₂
the constraints are:
3P₁ + 6P₂ ≤ 20,000
4P₁ + 6P₂ ≤ 35,000
P₁, P₂ ≥ 0
using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.
Total production = 6,666 x 3 = 19,998 ounces of perfume.
Total revenue = 19,998 x $5 = $99,990
Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662
Operating income = $53,328
Y ≤ X – 4 lies in all quadrants except:
Will give brainliest!!!!!!!!!!!
Jessie cuts grass on the weekends. If they get paid $20 a yard and made a total
of $100 last weekend, which algebraic equation can be solved to find how many
yard they cut last weekend? (Let X be the number of yards they cut)
O (20)X = 100
(100)X = 20
(20)100 = X
100 - X = 20
X-20 = 100
Find x so that l || m. Show your work.
Answer:
x = 22
Step-by-step explanation:
If l and m are parallel, then
(2x + 60) and 130° are same- side interior angles and are supplementary, thus
2x + 6 + 130 = 180 , simplify
2x + 136 = 180 ( subtract 136 from both sides )
2x = 44 ( divide both sides by 2 )
x = 22
Determine if the given pair of lines is parallel, perpendicular or neither.
(1 Point)
Y= 5x+3
y = -6x + 3
I need help ASAP it’s a math question for my test
The wholesale price of a lamp is $44 and will be marked up by 40 percent. What is the retail price of the lamp?
$40.00
$48.00
$61.60
$84.40
Answer:
i think $61.60
Step-by-step explanation:
Answer:
It is 61.60
Step-by-step explanation:
Fourth grade > E.11 Divide 2-digit numb Divide: 16 16 : 5 = OR Submit
Answer:
22 and 0
Step-by-step explanation:
Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of water and 25 sodas, bringing in $110. Sunday, he sold 50 bottles of water and 45 sodas, making $165. What are the prices for each beverage option?
Answer:
$2 for soda and $1.5 for a bottle of water
Step-by-step explanation:
You start by turning both situations into an equation
Let x represent bottles of water and y represent sodas
Saturday:
[tex]40x+25y=110[/tex]
Sunday:
[tex]50x+45y=165[/tex]
You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:
50÷40=1.25
You then times the whole equation by -1.25
40x+25y=110
×-1.25
-50x+-31.25y= -137.5
You then add this equation by Sunday's equation
50x+45y=165
-50x+-31.25y=-137.5
13.75y=27.5
You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring
13.75y=27.5
×1.09 recurring
15y=30
15y/15=30/15
y=2
Now that we know y = 2
We can use either Saturday or Sunday's equation to figure out the value of [tex]x[/tex]
Let's use Sunday's:
50x+45×2=165
50x+90=165
50x+90-90=165-90
50x/50=75/50
x=1.5
Let's check our answer with Saturday's equation
40×1.5+25×2=110
This equation is correct
Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
0
1
2
3
4.
y
2
10
18
26
34
Answer: y =
Submit Answer
attempt out of a problem 1 out of maxi
Answer:
I think its 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
A store is offering a 30% discount on all jeans. If the regular price of a pair of jeans is $49.99, what is the sale price of the jeans?
Answer:
Sales price of jeans is $35Step-by-step explanation:
Step one:
given
percentage of discount= 30%
Regular price of jeans= $49.99
Required:
the price of the jeans after the discount is deducted
Step two;
let us solve for the amount of the 30% discount
=30/100*49.99
=0.3*49.99
=14.997
=$15 approx.
Hence the deduction in discount is $15
therefore the sale price after the discount is
=49.99-15
=$35
A store has a 20% off discount. If the original price of a shirt is $48, how
much will you pay?
Answer:
38.40
Step-by-step explanation:
I just took the test
Help Please.........
Answer:
Step-by-step explanation:
Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies
Answer:
x = - 10.5
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition y = 8 when x = 3.5 , then
8 = [tex]\frac{k}{3.5^2}[/tex] ( multiply both sides by 3.5²
8 × 3.5² = k , that is
k = 98
y = [tex]\frac{98}{x^2}[/tex] ← equation of proportion
When y = [tex]\frac{8}{9}[/tex] , then
[tex]\frac{8}{9}[/tex] = [tex]\frac{98}{x^2}[/tex] ( cross- multiply )
8x² = 882 ( divide both sides by 8 )
x² = 110.25 ( take the square root of both sides )
x = ± [tex]\sqrt{110.25}[/tex] = ± 10.5
Thus x = - 10.5 ← is the negative value of x
is this proportional or not
Answer:
yes
Step-by-step explanation:
also nice woody pfp :D
There are 4 squares and 10 triangles. What is the simplest ratio of squares to total shapes?
Answer:
2:5 I think
Step-by-step explanation:
Helppppppppppppppppppp
Answer:
b
Step-by-step explanation:
Answer:
This is NEGATIVE. Think of negative as you falling down a mountain, like in that kind of shape, and positive you going up a mountain, undefined as just a line that has no "tilt" and only goes straight up or down, and zero slopes are just horizontal lines. hope this helps.
pls mark as brainliest
Step-by-step explanation:
Show work by writing out all of the ratios in simplified form
please help i need this now!
Answer:
Option D is the correct answer.
Step-by-step explanation:
[tex] \frac{w}{y} = \frac{z}{x} \\ \\ by \: cross \: multiplication \\ \\ wx \: = yz[/tex]
last one .. worth 20 points please .
Answer:
Should be y=x+2.5
Step-by-step explanation:
Hi. Please help me with these questions
See image for question.Answer no 6 and 7
Answer:
6. See solution7. k = 2, k = -6Step-by-step explanation:
6.
Given equation:
2(x + 2)² + p(x + 1) = 0The sum of the roots is q1 and the product of the roots is q2Need to show that q1+q2 = 0
SolutionBringing the equation into standard form of ax² + bx + c = 0:
2(x + 2)² + p(x + 1) = 0 2x² + 8x + 8 + px + p = 02x² + (p + 8)x + (p + 8) = 0Sum of the roots:
q1 = - b/a = -(p + 8)/2Product of the roots:
q2 = c/a = (p + 8)/2We see that q1 and q2 are opposite numbers, therefore their sum equals zero:
q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0=============================================
7.
Given quadratic equation:
x² - (k + 2)x + 4 = 0It has equal rootsNeed to find the possible values of k
SolutionWhen the quadratic equation has equal roots, then its discriminant is equal to zero:
D = 0√b² - 4ac = 0√(-k -2)² - 4*1*4 = 0√k² + 4k + 4 - 16 = 0√k² + 4k - 12 = 0k² + 4k - 12 = 0k = {-4 ± √4² -4*1*(-12)}/2 k = (-4 ± √16 + 48)/2k = (-4±√64)/2k = -2 ± 4k = 2, k = -6MAKING YOU BRAINLIEST IFF YOU ANSWER CORRECTLY
Solve the proportion.
35/k=7/3
k=
Answer:
k=15
Step-by-step explanation:
Find the value of x.
G
(x + 445°)
H
3xº
Answer:
x= 22
x+44=3x
-x. -x
44=2x
÷2. ÷2
22=x
Based off picture
A vehicle is traveling at 150 km/h after 3 hours it is traveling 240 km/h. Was the vehicle accelerating or decelerating and at what rate
Answer:
30 km per hour
Step-by-step explanation:
it accelerated at 30km per hour. 240-150 is 90 km/h 90÷3=30
given that 4 x - 5 y = 21 find x when y = - 4 give your answer as a fraction in its simplest form
Answer:
x=-1/4
4x-5(-4)=21
4x+20=21
4x=1
x=1/4
idk the answer can someone pls help me
What is the least common factor of 2, 4 and 6
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind did they sell?
Blank veggie subs
Blank turkey subs
Answer:
12 veggie subs, 15 turkey subs
Step-by-step explanation:
please help me with this
Answer:
2
Step-by-step explanation:
My sister keep needing help she so lazy so help her so she can leave me the heck alone
Answer:
the yellow one
Step-by-step explanation:
hope thats right tell her to leave u alone lol
which of the following sets of numbers contains only integers
Answer:
can i see the numbers
Step-by-step explanation:
there is no picture
PLEASE HURRY!
------------------------
Answer:
Step-by-step explanation:
x^2+17x+72=12
x= -5 and -12
Keith is correct.
Answer:
I think Keith solved it correctly.
Step-by-step explanation:
x= -12 and that was one of keiths answers so he's right.
-12+12= 0
5 and 12
