Answer:
Solution given:
we have
k+4z=42
k=42-4z
and
k+4z=42
4z=42-k
dividing both side by 4
[tex]\frac{4z}{4}[/tex]=[tex]\frac{42-k}{4}[/tex]
z=[tex]\bold{\frac{42-k}{4}}[/tex]
(solving rate problems). Michelle can
complete a
landscaping job in 6
days and Danielle
can complete the
same job in 4 days.
Working together, in
how many days
could they complete
the job
They could complete the job together in 2.4 days
The known parameters are;
The number of days it would take Michelle to complete the landscaping job = 6 days
The number of days it would take Danielle to complete the landscaping job = 4 days
The unknown parameter;
The number of days can the job be completed if they work together
The process of finding the solution;
The rate at which Michelle works = 1/6 of the landscaping work per day
The rate at which Danielle works = 1/4 of the landscaping work per day
Method;
Find their combined work rate, from which the time would take them to complete the job together can be found
Let, C, represent their combined work rate
Therefore, we have;
C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day
The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days
∴ The number of days they could complete the job together = 2.4 days.
Learn more about unit rate here;
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5×12÷[-12÷{15+(4-13)}]
Answer:
=5×12÷[-12÷{15+(-9)}]
=5×12÷[-12÷6]
=5×12÷(-2)
=-30
Step-by-step explanation:
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
Determine the equation of a perpendicular line to x=-2
Answer:
+1/2
Step-by-step explanation:
its the negative reciprocal
ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.
1.) 2√13
2.) √58
3.) 4√3
4.) 2√3
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BC^2=AB^2+AC^2[/tex]
[tex]\\ \sf\longmapsto BC^2=7^2+3^2[/tex]
[tex]\\ \sf\longmapsto BC^2=49+9[/tex]
[tex]\\ \sf\longmapsto BC^2=58[/tex]
[tex]\\ \sf\longmapsto BC=\sqrt{58}[/tex]
help me, asap, please
answer is 19
the explanation is in the attachment
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
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 number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
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Determine the vertex of the function f(x) = 3(x - 2)^2 + 1.
(2, 1)
(-2, 1)
(1,2)
(1,-2)
Answer:
The vertex is at (2,1)
Step-by-step explanation:
The vertex form of a quadratic is
y = a(x-h)^2 +k where (h,k) is the vertex
f(x) = 3(x - 2)^2 + 1.
The vertex is at (2,1)
Please help me to solve this problem of ordered pairs. The value of x and y should be find.
Answer:
x=y=-2
Step-by-step explanation:
Comparing these ordered pairs, we will get
4^(1/x)=1/2 and 9^(1/y)=1/3
x=-2 and y=-2
Answer:
x = y = - 2
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]
Since the bases on both sides are equal, both 2 , then equate exponents
[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )
2 = - x , that is
x = - 2
Similarly
[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]
[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]
Equating the exponents gives
[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2
Find the reciprocal of 4/5
Answer:
its 5/4! haha i used to be good at this when i was in 6th grade:)
The graph below shows the solution to which system of inequalities
Helpppp
Answer:
Step-by-step explanation:
Find the probability for one roll of a number cube.
P(number greater than or equal to 7)
Answer:
Step-by-step explanation:
there is no number of 7 or greater.
P(≥7)=0/6=0
(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)
Answer:
x ≈ -0.73151
Step-by-step explanation:
Daniel incorrectly solved the equations shown. Explain what he did wrong in each situation and then solve both equations correctly. 16x2 - 9 = 16
V16x2 - 19 - + 16
4x - 3 - +4
4x = +7
* = 14
(a)
IN
y3 - 1 = 7
= 8
(b)
y = 2
Step-by-step explanation:
the scanned description is very hard to understand.
so I think what happened :
16x² - 9 = 16
then the first error :
sqrt(16x²) - sqrt(9) = sqrt(16)
that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.
so, correctly, the only possible transformation involving sqrt for both sides :
sqrt(16x² - 9) = sqrt(16)
but it would be even easier to clean up the various constant numbers with each other.
so,
16x² - 9 = 16
16x² = 25
and now we trashes the square root
sqrt(16x²) = sqrt(25)
4x = 5
x = 5/4 or x = -5/4
and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong
y³ - 1 = 7
Solve the equation for all values of x.
- 2x(– 8)(10x + 1) = 0
From deltamath.com
Answer:
Hi I'm going to answer the question is 0
Step-by-step explanation:
-2x(-8)(10x+1)=0
Multiply -2 times -8 is 16
16x(10x+1)=0
Use the distributive property to multiply 16x by 10x+1
[tex] {160}^{2} + 16 = 0 \\ [/tex]
Factor out x.
x(160x+16)=0
To find equation solutions, solve x=0 and 160x+16=0
x=0
x=
[tex] - \frac{1}{10} [/tex]
Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО
The best answer from the choices provide is x = -1 or x = -1
Given the expression
[tex]x^2 + 2x + 1 = 0[/tex]
Factorizing the given expression
[tex](x^2 +x)+(x + 1) = 0\\[/tex]
Factor out the common variable from both brackets
[tex]x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1[/tex]
Hence the best option is x = -1 or x = -1
Learn more about factorization here: https://brainly.com/question/16099992
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:
[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]
According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x3(x + 3)(x − 7) B. 5x2(x − 3)(x + 7) C. 5x3(x − 3)(x + 7) D. 5x2(x + 3)(x − 7)
Answer:
B.5: 5^2(-3)(+7)
Step-by-step explanation:
1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).
2. ^2 is also a factor, so now its 5^2(^2+4-21)
3. Factor by Grouping 5^2(^2−3+7−21)
4. Factor by Grouping 5^2((−3)+7(−3))
5. Factor by Grouping 5^2(−3)(+7)
Thats your final answer.
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada
uno, le sobrarían S/ 2.000. El número de obreros que contrató es
Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.
Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:
[tex] M - 1400*x = -8000 [/tex] (1)
[tex] M - 1200*x = 2000 [/tex] (2)
En donde:
M: es la incógnita igual al monto de dinero del ingeniero
x: es la incógnita igual al número de obreros
De la ecuación (1) tenemos:
[tex] M = 1400*x - 8000 [/tex] (3)
Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):
[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]
[tex] 200*x = 10000 [/tex]
[tex] x = 50 [/tex]
El monto de dinero inicial del ingeniero sería entonces (ec 3):
[tex] M = 1400*50 - 8000 = 62000 [/tex]
Por lo tanto, el número de obreros que contrató el ingeniero es 50.
Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults
Espero que te sea de utilidad!
Find the income tax of the following cases annual salary=8000,allowance=1450,rate of tax=12℅
Answer: don't know
Step-by-step explanation:
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
Solve for x. Type your answer below.
5(2x−12)=−90
Hi there!
[tex]\large\boxed{x = -3}[/tex]
Begin by distributing the 5:
5(2x) + 5(-12) = -90
Simplify:
10x - 60 = -90
Add 60 to both sides:
10x = -90 + 60
10x = -30
Divide both sides by 10:
x = -3
Answer:
x = -3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 5 from both sides of the equation:
5(2x - 12) = -90
(5(2x - 12))/5 = (-90)/5
2x - 12 = -90/5
2x - 12 = -18
Next, add 12 to both sides of the equation:
2x - 12 (+12) = -18 (+12)
2x = -18 + 12
2x = -6
Finally, divide 2 from both sides of the equation:
(2x)/2 - (-6)/2
x = -6/2
x = -3
-3 is your answer for x.
~
six times the difference of a number and 4 is no more than 10.
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
given m||n, find the value of x
Answer:
x = 127º
Step-by-step explanation:
y = 127º {Corresponding angles}
x = y {Vertically opposite angles}
x = 127º
Help me plz it’s due today
Answer:
10x²−9x
Step-by-step explanation:
10x²−10x−6+x+6
=10x²−10x−6+x+6
Combine Like Terms:
=10x²−10x−6+x+6
=(10x²)+(−10x+x)+(−6+6)
=10x²−9x
I hope this answer helps you out! Brainliest would be appreciated :)Answer:
10x^2=9x
Step-by-step explanation:
Add them together into one equation
10x^2 - 10x - 6 + x + 6
Now add like terms. The -6 and 6 cancel eachother out since they equal 0
10x^2 - 10x +x
You should get 10x^2 - 9x
Multiply: (2x+y) (n2-3xy+y2)
Answer:
[tex]{ \tt{(2x + y)( {n}^{2} - 3xy + {y}^{2} )}} \\ = { \tt{(2x {n}^{2} - 3 {x}^{2}y + 2x {y}^{2} + {n}^{2}y - 3x {y}^{2} + {y}^{3} )}} \\ = { \tt{ {y}^{3} - xy(y + 3x) + {n}^{2} y }}[/tex]
Hello!
(2x+y) (n2-3xy+y2)
2x* n²= 2xn²
2x* -3xy = -6x²y
2x* y² = 2xy²
y*n² = yn²
y*-3xy = -3xy²
y* y² = y³
=>
2xn²- 6x²y + 2xy² +yn²- 3xy² +y³
HELPPP MEE PLEASE!!!
Consider the function shown on the graph.
Answer:
Domain x ≥ - 5
Range y ≥ - 2
Step-by-step explanation:
x ≥ - 5
y ≥ - 2
Can anyone help pls :)? Thank you
Answer:
It's D:5.3
Step-by-step explanation:
√28 =5.29
Round off therefore is 5.3
Please help!
This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.
Answer:
The vertical line test is basically a way to determine whether or not a graph is a function. All three of the options are accurate, so I would select all three.
Let me know if you have any other questions!
Circle experts...help! will give brainly to most detailed answer
Answer:
IU=161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
