x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
What is the difference (4x2 - 12x +6) and (10+ 3x – 2x?)?
The difference of the expression is 6x² - 15x - 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as
(4x² - 12x + 6) and (10 + 3x -2x²)
Now, simplifying the expression
= 4x² - 12x +6 - (10 + 3x -2x²)
= 4x² -12x+ 6 -10 -3x + 2x²
= 6x² - 15x - 4
Thus, the simplified expression is 6x² - 15x - 4.
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To get to the top of the mountain, Charlie drove 6 miles east and 8 miles south. Then he hiked the rest of the way to the top which was about 2 miles high. Assuming Charlie started at (0, 0, 0), what is the total distance he traveled to the top of the mountain?
a.) 8.7 miles
b.) 12 miles
c.) 10.2 miles
d.) 16 miles
Answer:
actually it's 10.2 miles
Step-by-step explanation:
he drove six miles at first and than 8 miles south, afterwards he hiked the rest of the way to the top.
If the simple interest on $3000 for 7 years is 840$, then what is the interest rate?
Answer:
Step-by-step explanation:
4%
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
Solve the given system by substitution.
Answer:
(2, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
r = 4s
r = 1/2s + 7
Step 2: Solve for s
Substitution
Substitute in r: 4s = 1/2s + 7Subtract 1/2s on both sides: 7/2s = 7Divide 7/2 on both sides: s = 2Step 3: Solve for r
Define equation: r = 4sSubstitute in s: r = 4(2)Multiply: r = 8Answer:
s = 2
r = 8
Step-by-step explanation:
subsitution is were you plug in a systerm into the other problem
since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)
so now you have 4s = 1/2s+7
now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7
now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2
s = 2
now we have s we take that and plug it into r = 4s
subsitute S as 2 --> r = 4(2)
r = 8
what are the integers of 58
Answer:
{1,2,29,58}
Step-by-step explanation:
As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58
Answer:
1,2,29.58
Step-by-step explanation:
:)
Can someone please tell me what range and domain is. and how to tell what an independent and dependent variable are please
Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!
Hope this helps :)
range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”
domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)
“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable
“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.
I hope that was understandable
One interior angle of a regular octagon is
Answer:
135 degreesTo find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.The General Rule
Shape Sides Each Angle
Octagon 8 135°
Nonagon 9 140°
... ... ...
Any Polygon n (n−2) × 180° / n
Katherine spends $1,089 each month for rent and supplies to run her hair salon. If she has 50 cilents per month,how muck should she charge per haircut to cover her monthly expenses?
Answer:$21.78
Step-by-step explanation:
Answer:
$21.78
Step-by-step explanation:
1,089 ÷ 50 = 21.78
Question 3 (10 points)
(02.06 MC)
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
X = 53
X= 115 - 62
Step-by-step explanation:
Part A: 62 + X = 115
X= 115 - 62
X = 53
Part B:
APQ + QPR = PRD
Dont copy off of me because im not for sure this is the right awnser
The measure of angle x is 55.
And to get 55 you first need to find angle BPR.
So, what you would do is 180 - 120 and that equals 60.
So, this means that angle BPR is 60 degrees.
Ok, so now to find the angle of x.
You first need to do 65 + 60 + x =180.
Since we don't know the value of x, we do 65 + 60 and that gives us 125.
So, 180 - 125 = 55.
So, X = 55.
Help me I don't know how to find the percent of discount to the nearest percent
Find the percent of discount to the nearest percent.
skateboard: regular price, $24
sale price, $15.50
help. PLEASE.
Answer:8.5
Step-by-step explanation:
Answer:
step one
find the difference between marked price and the selling price, which is 24-15.50=8.5
step two apply the formula which is, difference divided by marked or original price and then multiple by 100
eg (8.5÷24) × 100= 35.4
so now round off to the nearest percent that's 35%
b) 5z - 1
when z = 6
2
Answer:
309
Step-by-step explanation:
5z-1, z=62
5(62)-1
310 - 1
309
Please help I’ll mark brainliest!!
Step-by-step explanation:
4x-5≥7
4x≥7+5
4x≥12
x≥12/4
x≥3
•-------------------------------------------------------------->
__________________________________________________
0 1 2 3 4 5 6 7 8 9 10
hope it helps!
Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?
Hello! Lets take a look.
To do this problem you would have to divide.
"75/9"
So what is the answer to that?
8!
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
I need these questions answered ASAP can you help me with 12,13,14 pls
divide 5 divided by 1/4
Answer:
20
Step-by-step explanation:
Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.
Step-by-step explanation: Hope This Helps!!
From: Kageyama! <3 No need to thank me, it's what I do! ^^
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.
Answer:
The equation that determines Carissa's weekly wages is W = 450 + 16.83 × V
Step-by-step explanation:
The given parameters are
The amount Carissa earns per week = $450
The amount Carissa earns for each overtime hour = $16.83
Where the given variables are;
W = Her weekly wages
V = The number of overtime hours worked
Therefore, the equation that would be used to determine her weekly wages is given as follows;
W = 450 + 16.83 × V.
What’s the slope of the line that passes through (-8, -5) and (-2, 5).
If f(x)=3x-4, f(-2) =10 true or false
Answer:
False
Step-by-step explanation:
plug -2 in for x. 3(-3)-4=-10 and -10 isn't 10 so false.
(can I get brainliest please)
Answer:
False
Step-by-step explanation:
f(x) = 3x-4
f(-2) = ?
Substitute -2 for x in the given equation
f(-2) = 3(-2)-4
f(-2) = -6-4
f(-2) = -10
-10= 10
FALSE
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
True
False
Answer:
true
Step-by-step explanation:
taking the test
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way to solve. It is True.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
These values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
The given statement for inequality is True.
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Hector works 10 hours per week at a part-time job. His original pay rate was $8.50 per hour, but he recently received a raise of x dollars per hour. His new total weekly pay, y, is represented by the equation y = 10(8.5 + x). If Hector earned $100 last week, what was the amount of Hector's raise per hour? A . $12.00 B .$15.00 C. $1.50 D. $3.00
Answer:
$1.50
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
x = 1.5
Hence the amount of Hector's raise per hour is $1.50
is j + 8 = 72 a solution
Here are 5 lines on a coordinate grid:
Write equations for lines a,b,c,d and e
a:
b:
c:
d:
e:
Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
can someone helpp!!! thanks
Answer:
he is going 10 mph and the equation is 1x = 10y
Somebody plz help me I’m failing
*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).
What is equivalent to 45/75?
Answer:
3/5
Step-by-step explanation:
15 / 5 = 3; 25/5 = 5 ; the answer is 3/5 or 0.6
i need help passing geometry
-28=r/7-26 send help lauvs
Answer:
r is equal to negative 14.
Step-by-step explanation: