[tex]
(4xy-3z)^2=16x^2y^2-24xyz+9z^2
[/tex]
Hope this helps.
The average of an electrician's hourly wage and a plumber's hourly wage is $33. One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work and pays a total of $468 in wages. Find the hourly wage for the electrician and for the plumber. Electrician makes $___ and Plumber makes $___
Answer:
Plumer : $198
Electrition : $270
Step-by-step explanation:
The Electrician makes $ 216 and Plumber makes $ 252
The hourly wage of the electrician = $ 24
The hourly wage of the plumber = $ 42
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the hourly wage of electrician be = $ x
Let the hourly wage of plumber be = $ y
The average of hourly wage of an electrician and plumber = $ 33
So , ( x + y ) / 2 = 33
Multiply by 2 on both sides , we get
x + y = 66 be equation (1)
And , One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work
So , total wages =
9 hours of work by electrician + 6 hours of work by plumber
9x + 6y = $ 468 be equation (2)
Now , we have 2 equations
Multiply equation (1) by 6 , we get
6x + 6y = 396 be equation (3)
And ,
equation (2) - equation (3) , we get
3x = 72
Divide by 3 on both sides , we get
x = 24
Substituting the value of x in equation (1) , we get
y + 24 = 66
Subtracting 24 on both sides, we get
y = 42
So , the hourly wage of electrician is $ 24 and the hourly wage of plumber is $ 42
Now , wage of electrician for 9 hours = 24 x 9
= $ 216
Wage of plumber for 6 hours = 42 x 6
= $ 252
So total wage = 216 + 252 = $ 468
Hence , the electrician makes $ 216 and plumber makes $ 252
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Find the measure of the angel. n=_°
Answer:
n = 25°
Step-by-step explanation:
All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:
90 + (n + 40) + n = 180.
Then we combine like-terms and subtract:
130 + 2n = 180,
2n = 50.
Then we divide by 2 to get our answer:
n = 25.
To double check, we insert 25 as our value:
90 + (40 + 25) + 25 = 180.
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
write the equation of the circle The circle with center C(1, - 4) and radius r= 2
Answer:
(x-1) ^2 + (y+4)^2 = 4
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-1) ^2 + (y- -4)^2 = 2^2
(x-1) ^2 + (y+4)^2 = 4
The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm.
Approximately how much space is in between the two spheres?
A. 61 cm³
B. 113.1cm³
C. 255.5 cm³
D. 766.6 cm³
Answer:
Step-by-step explanation:
reqd. space=difference of volumes=4/3 πR³-4/3πr³=4/3π(R³-r³)
=4/3 π(5³-4³)
=4/3 π(125-64)
=4/3π(61)
≈255.5 cm³
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
What is the input value for which f(x)=-3, plz help I really need this
Answer:Answer = 0
Step-by-step explanation:
С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done
Answer: it is a
Step-by-step explanation:
Please help! i will mark brainliest!
Answer: A. one real solution
This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.
Help please, Mathematics!
Answer:
B. 3,300
Divide 28,875 by 109,800,724.
Answer:
B
Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated
So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info into the calculator to see your monthly and total cost by loan term.
6% = .6
4840 x .06 = 290.4
290.4+ 4840 = 5130.4
5130.4 ÷ 24 = 213.766666667
$5130.40 is your total cost by loan term.
$213.77 is APPROXIMATELY your monthly total for 2 years.
For the 2 year loan, onthly payments is $211.26 and Total payment is $5070.12.
For the 5 year loan, Monthly payments is $93.57 and Total payment is $5614.21.
What is the monthly total cost of the loan?Assuming the loan is compounded monthly, the total monthly payment is calculated from the amortization loan formula as follows:
[tex]A=\frac{P(i(1+i)^n)}{((1+i)^{n-1})}[/tex]where:
A = monthly paymentP = amount borrowed = $6000i = monthly interestn = number of monthsCalculating the monthly payment for the 2 year loan:
i = monthly interest = 0.045/12
n = number of months = 2 × 12 = 24 months
[tex]A = \frac{4840(0.045/12 (1 +.045/12)^{24})}{((1 +.045)^{24-1})} = \$211.26[/tex]
Monthly payments = $211.26
Total payment = $5070.12
Calculating the monthly payment for the 5 year loan:
i = monthly interest = 0.06/12
n = number of months = 5 × 12 = 60 months
[tex]A = \frac{4840(0.06/12 (1 +.006/12)^{60})}{((1 +0.06)^{60-1})} = \$93.57[/tex]
Monthly payments = $93.57
Total payment = $5614.21
Therefore, the monthly payments are calculated using the amortization loan formula.
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how to solve a log function
Answer:
What are Logarithmic Functions?
We can think of logarithmic functions as the inverse of exponents.
The following diagram shows how logarithm and exponents are related. Scroll down the page for examples and solutions.
Logarithms and Exponents
Step-by-step explanation:
Christopher's math grade decreased from 86 to 65. What is the the approximate percent decreases?
Answer:
I think it decreased by 21%
Step-by-step explanation:
because 86 - 65 = 21
HELP NEEDED,THANK YOU find all real zeros and complex of each function f(x)=x(4x-6)(x+1)(3x+5).SHOW WORK!!!
Answer:
x=0, 3/2, -1, -5/3
Step-by-step explanation:
The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)
The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)
So the answer is 0, 3/2, -1, and -5/3.
the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 15^2
AC^2 = 16 + 225
AC^2 = 241
AC = √241
What three-dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges?
Answer:
Hexagonal prism
Step-by-step explanation:
it has 2 bases and six rectangular faces
Answer:
C
Step-by-step explanation:
In an election 32 thousand people voted for Mayor Jackson . A total of 56 thousand people voted in the election . What is the ratio of number of votes that were not mayor Jackson to the total number of votes in simplest?
Answer:
3/7
Step-by-step explanation:
to find the ratio of the number of votes that weren’t mayor jackson you do 56-32. the ratio will be 24/56. now you just simplify to get 3/7
Answer:
3/7
Step-by-step explanation:
Subtract 32,000 from 56,000 and you will get 24,000
24,000/56,000 is simplified to 3/7
In the figure, O is the center, PT and PR are tangents, and
mZTOR = 150°. If OR = 6 cm, then what is the measure of
ZTPR?
a. 210°
b. 30°
c. 105°
d. 15°
Answer:
b. 30°
Step-by-step explanation:
In quadrilateral OTPR, angles O and P are supplementary.
angle P = 180° -angle O = 180° -150°
angle P = 30° . . . . matches choice B
The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial. check all that apply
Answer:
The correct options are:
x= -1.1
x= 2.4
x = 6
Step-by-step explanation:
The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.
We can see in the graph that there are three points where the value of polynomial becomes 0. that are
At x= -1.1
At x= 2.4
At x = 6
Thus, these are the roots
If h(x) = -4 x - 10 find h(- 5)
Answer:
We know that h times x equals the expression: -4x-10. We have been given our value of h which is -4. So we if we plug in the values for the variables, our expression would be: -4(-5). Since they are both negative values, the answer is going to be positive. So, -4 times -5 equals 20.
Answer: 20
What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)
Answer:
the solution is A
Step-by-step explanation:
[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]
[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]
Answer:
3ab^2(3/b)
THE ANSWER A
Step-by-step explanation:
2020 HEHE
Which statement is true about the following system of equations?
3x - 1/2y = 1
x + 2y = 7
Select one:
a. y<x
O b.y=x
O c.y>x
d. can not be determined
Answer:
c. y>x
Step-by-step explanation:
When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.
Here is what I mean by this:
Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.
x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.
Now that we have an expression which is equal to x.
We can directly replace that with the 3x in the other equation by multypling this by 3:
x = 7 - 2y → 3(x) - 1/2y = 1
3(7 - 2y) - 1/2y = 1
Now that we only have y's, we can simply the equation, and solve for y.
21 - 6y - 1/2y = 1
21 -13/2y = 1
(get rid of the constant on the left side by subtracting)
-21 -21
-13/2y = -20
(remove the denominator by Multiplying)
×2 ×2
-13y = -40
÷13 ÷13
(cancel out the coefficient by dividing)
-y = -40/13
(take the opposite of the other side to make y positive)
×-1 ×-1
y = 40/13.
Now that we have y just solve for x since we already have a term of x in the other equation:
y = 40/13 → x + 2y = 7
x + 2(40/13) = 7
x + 80/13 = 7
Then subtract both constants to find x:
x + 80/13 - 80/13 = 7 - 80/13
x = 7 - 80/13
(create like denominators, but Multipy
The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!
Answer:
not sure,but I think the answer is 3 to 4
A store ships books by weight. A small box can hold 4−6 pounds. A medium box can hold 5−7 pounds. A large box can hold 8−9 pounds. The weights of the books are given below. Drag books into each box to show what it can hold.
Answer:
well try to drag each book in each books that's what its asking so what's the specific question that you have
Answer:
Step-by-step explanation:
Lowest weight is 0.75 lb. so this will come into the small box.
Then 2.4 lb will come into medium box.
The heaviest weight 3.1 lb will come into large box
Find the equation of the line with slope m=1/5
that contains the point (-10,-1).
Answer:
Y=1/5x+1
Step-by-step explanation:
change the y intercept so it is 1
The question and pic is on the picture I took a picture of
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
Where a is the leading coefficient.
Consider functions f and g below.
g(x) = –x² + 2x + 4
The function can be written as
g(x) = –(x – 1)² + 5
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.
Then the correct option is C.
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What number should replace the question mark?
Answer:
Just a guess but I think 5
Step-by-step explanation:
The top right square on all boxes is the difference of the second box and the first box which equals the third box. This rule is applied to all of the other boxes so if I'm not wrong the question mark should be 5
Answer:es el #5
Step-by-step explanation:
;)
A 14-year old girl caught feelings too fast and/or fell too hard. She judged herself every single day. She felt as if people judged her as she walked past people. She wanted to loose weight. How can she loose 139 lbs if she ways 180 lbs without going on a diet or taking any medicine or pills? How much lbs would she loose? How much would she weigh after? What sizes would she wear in all clothing?
Answer:
She can loosen weight by exercising. If she exercises for about 6-8 months she can loosen about 139 pounds. After loosing that much weight, she will weigh 40 lbs/pounds. She will then wear clothes of S(Small) size.
Step-by-step explanation:
Tried my best
Determine if EF || HL
Answer:
EF is not parallel to HL.
Step-by-step explanation:
They are not parallel because angle HLG is not equal to angle EFG. If the two lengths WERE parallel, those two angles would be equal. Angle GHL would be equal to angle GEF, but they are not equal, either.
Hope this helps!