The value of "x" which will satisfy the equation [{21090(x -1 ) + 109.07 } = 1] is 1.01.
As per the question statement, we are provided with an equation [tex][{21090(x -1 ) + 109.07 } = 1][/tex].
We are required to solve the above mentioned equation for "x", such that the value of x when substituted in the equation, satisfies the same.
To solve this question, we will simply use the methods of rearranging and opening up of brackets, as shown below.
[tex][{21090(x -1 ) + 109.07 } = 1] \\or, 21090x - 21090+109.07=1\\or, 21090x - (21090-109.07)=1\\or, 21090x - 20980.93=1\\or, 21090x=(1+20980.93)\\or, 21090x=20981.93\\or,x=\frac{21090}{20981.93}\\or,x=1.00515\\or,x=1.01[/tex]
Therefore, the value of "x" which will satisfy the equation
[{21090(x -1 ) + 109.07 } = 1] is 1.01.
Equation: An equation is a mathematical or algebraic statement that links up two expressions by an equal sign.To learn more about Equations, click on the link below.
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x-y=-3
y-6=-1/4(x+12
Answer:
(0,3)
Step-by-step explanation:
x - y = -3
y = -1/4x + 3
x - (-1/4x + 3) = -3
x = 0
y = -1/4 x 0 + 3
y = 3
(0,3)
Answer: 24
Step-by-step explanation:
−3−6=−
4
1
(x+12)
Subtract 6 from −3 to get −9.
−9=−
4
1
(x+12)
Use the distributive property to multiply −
4
1
by x+12.
−9=−
4
1
x−
4
1
×12
Express −
4
1
×12 as a single fraction.
−9=−
4
1
x+
4
−12
Divide −12 by 4 to get −3.
−9=−
4
1
x−3
Swap sides so that all variable terms are on the left hand side.
−
4
1
x−3=−9
Add 3 to both sides.
−
4
1
x=−9+3
Add −9 and 3 to get −6.
−
4
1
x=−6
Multiply both sides by −4, the reciprocal of −
4
1
.
x=−6(−4)
Multiply −6 and −4 to get 24.
x=24
if the m P=4x+1 and m Q=9x-3, find m Q
Answer:
4×9=36
1-3=-2
36÷2=18
Step-by-step explanation:
4×+1,9×-1.
4×9=36
1-3=-2
Here I need help with this question
C=5
Explain explain Explain
Please help me 40 points and brainliest (show your work)
The actual width of Tyrone's patio using the scale drawing is 16 feet's
How to find the actual width of Tyrone's patio using scale drawing?The scale from the backyard to the drawing is 2 ft to 1 inches.
The width of the patio on the drawing is 8 inches.
Therefore, the width of the Tyrone's actual patio is as follows;
Hence,
1 inches = 2 feet's
8 inches = ?
cross multiply
actual length of Tyrone's patio = 8 × 2
actual length of Tyrone's patio = 16 feet's
Therefore, using the scale drawing, the actual length of Tyrone's patio is 16 feet's.
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Determine if the following functions are inverses algebraically.
F(x) = 2x + 7 and h(x) = x-7/2
Answer:
(x) = 2x
Step-by-step explanation:
PLEASE HELP ME !!!?!????
Total cost (5)
Moving Van Costs
2889222
0
10 20 30 40
Distance driven (mi)
W
Q. What is the slope?
the
ve
Answer:
Here's a screenshot of the work i've done
Step-by-step explanation:
Your welcome
Suppose that the functions p and q are defined as follows.
p(x)=x² +6
q (x)=√x+9
Find the following.
(pg) (7) =
(9 °p) (7) = [
X
0/0
5
Answer:
Step-by-step explanation:
←
The surface area of a
three-dimensional figure is the sum of
the areas of all of its surfaces. Find the surface area of the
figure shown to the right.
The surface area of the figure is in².
4 in
4 in
10 in
Answer:
192 [in²]
Step-by-step explanation:
Area=(4*4)*2+(4*10)*4=192.
Micaela and Elisa each Micaela and Elisa each improved their yards by planting rose bushes and geraniums they both bought their supplies from the same store. Micaela spent $122 on 14 rose bushes and. 8 geraniums Elisa spent $120 on 12 rose bushes and 12 geraniums. What is the cost of one geranium?
HELP ASAP
By solving a system of equations, we can see that each geranium costs 3 dollars.
What is the cost of one geranium?
First, let's define the two variables:
x = price of one rose bush.
y = price of one geranium
Now, with the information on the problem we can write two equations, thus, we will have a system of equations:
$122 = 14*x + 8*y
$120 = 12*x + 12*y
We want to solve that system, if we isolate x on the first equation we will get:
x = ($122 - 8y)/14
Now we can replace this on the other equation:
$120 = 12*($122 - 8y)/14 + 12*y
Now we can solve this for y.
14*$120 = 12*($122 - 8y) + 12*14*y
$1,680 = $1,464 + 72y
($1,680 - $1,464 )/72 = y = $3
Each geranium costs 3 dollars.
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Find the missing values in the ratio table.
Pounds
Weeks
The missing values in the ratio are 2.5 and 17.5.
What is mean by Ratio?
A Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Now, The missing values are find as;
Ratio of Pounds to the weeks are;
In first column,
Pounds : Weeks = 10 : 4
In second column,
Pounds : Weeks = x : 1
In third column,
Pounds : Weeks = y : 7
Since, All ratio are equal.
Hence,
10 : 4 = x : 1
It can be written as,
10/4 = x / 1
After cross multiplication we get;
x = 10/4
x = 2.5
And,
10 : 4 = y : 7
It can be written as,
10/4 = y/7
After cross multiplication we get,
10 * 7 = y * 4
y = 70/ 4
y = 17.5
Hence, The missing values in the ratio are 2.5 and 17.5.
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A formula for v is given as v=u+ 9.8t The value for u after truncation to 2 decimal places is 4.7 Given also that t, measured to the nearest whole number is 17, calculate the smallest possible value for V
Answer:
V = 86.06
Step-by-step explanation:
V = u + 9.8t
V = 4.7 + 9.8(17)
V = 86.06
The table shows the percent of each type of doughnut sold at a bakery. A store clerk put all of the cream filled and powered sugar doughnuts on a display in the front of the store. Both of these types of doughnuts completely sold out on Tuesday morning. If the clerk put 108 doughnuts in front of the store, how many doughnuts were there in all at the beginning of the day on Tuesday.
Using proportions, it is found that 240 doughnuts were there in all at the beginning of the day on Tuesday.
What is the missing information?The percentages are missing and are given in the graph at the end of the answer.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures using the unit rates and operations such as multiplication and division.
One example of application of proportions is for percentage problems, as the decimal equivalent of the percentages are used to find either the equivalent amount or the total amount, by multiplication operations.
The percentages of doughnuts displayed are given as follows:
Cream filled: 20%.Powdered sugar: 25%.Hence 45% of the total amount is equivalent to 108 doughnuts, hence:
0.45n = 108.
n = 108/0.45
n = 240.
Which is the number of doughnuts that were there in all at the beginning of the day on Tuesday.
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712 can be divisble by both 2 and 3?
Answer:
no
Step-by-step explanation:
it is divisble by 1, 2, 4, 8, 89, 178, 356, 712
the length of a rectangle is 3 less than twice the width. The perimeter is 108 in. What is the length and width?
Answer:
19 in and 35 in
Step-by-step explanation:
Let the width be w and the length be 2w-3. Then,
[tex]2(w+2w-3)=108 \\ \\ 3w-3=54 \\ \\ 3w=57 \\ \\ w=19 \\ \\ \implies 2w-3=35[/tex]
What are the domain and range of the function f(x) = x^2 + 5x + 4/ x+4
This is just a linear equation, then the domain is the set of all real numbers and the range is the set of all real numbers.
How to find the domain and range of the given function?Here we have the function:
f(x) = (x^2 + 5x + 4)/(x + 4)
The numerator can be rewritten if we find the zeros:
x = (-5 ± √( 5^2 - 4*1*4))/(2*1)
x = (-5 ± 3)/2
Then the zeros are:
x = (-5 - 3)/2 = - 4
x = (-5 + 3)/2 = -1
So the numerator can be rewritten to (x + 4)*(x + 1)
And the function is rewritten to:
f(x) = (x^2 + 5x + 4)/(x + 4) = (x + 4)*(x + 1)/(x + 4) = (x + 1)
This is just a linear equation, then the domain is the set of all real numbers and the range is the set of all real numbers.
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Sophie needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $127 for
parts. The total was $227. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer: 227=4x+127
x=$25
Step-by-step explanation:
227=4x+127 ==> equation
227-127=4x+127-127
4x=227-127
4x=100
4x/4=100/4
x=100/4
x=$25
2001
(is A force of 200 is exerted on an area of 50meters square
Calculate the pressure exerted by the force.
Given : Force applied is given as : 200 N
Area : 50m²
We know that the pressure is the force applied perpendicular to the surface of an object per unit area. or
Pressure = Force/Area=> P = 200N / 50m²
=> P = 40Nm² or 40 pascalEstimate 28.4707
explain how to do it
Answer:
28.4707 is rounded up to 28.5
Explanation: you have to round up any number higher than 5 to the number on the left
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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Question Multiply. (−5 5/8)⋅(−2 1/3) What is the product? Enter your answer as a simplified mixed number in the box.
Answer:
[tex]13\frac{1}{8}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(-5 \frac{5}{8}\right) \cdot \left(-2 \frac{1}{3} \right)[/tex]
Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator, adding it to the numerator of the fraction, and placing this as the numerator:
[tex]\implies -\dfrac{5 \cdot 8+5}{8} \cdot -\dfrac{2 \cdot 3+1}{3}[/tex]
[tex]\implies -\dfrac{40+5}{8} \cdot -\dfrac{6+1}{3}[/tex]
[tex]\implies -\dfrac{45}{8} \cdot -\dfrac{7}{3}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c}{b \cdot d}:[/tex]
[tex]\implies \dfrac{-45 \cdot -7}{8 \cdot 3}[/tex]
[tex]\implies \dfrac{315}{24}[/tex]
Convert the improper fraction into a mixed number:
[tex]\implies 315 \div 24 = 13\: \text{r}\:3[/tex]
[tex]\implies 13\frac{3}{24}[/tex]
[tex]\implies 13\frac{1}{8}[/tex]
Answer:
Product = 13 1/8
Step-by-step explanation:
The equation is,
→ (-5 5/8) × (-2 1/3)
Now the product of equation will be,
→ (-5 5/8) × (-2 1/3)
→ (-45/8) × (-7/3)
→ (-15 × -7)/8
→ 105/8
→ 13 1/8 {mixed fraction}
Therefore, the product is 13 1/8.
6 people are evenly sharing 5 blueberry muffins.
How many blueberry muffins should each person get?
Choose 1 answer:
Each person will get 1.2 of the Blueberry muffins
How to calculate the number of blueberry muffins each person will get ?The number blueberry muffins in 5
6 people wants to share the 5 blueberry muffins
Therefore the number of blueberry muffins each person will get can be calculated by dividing 6 by 5
= 6/5
= 1.2
Hence each person will get 1.2 blueberry muffins if the muffins are shared equally.
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4.08 x 29.7 preferably show work
Answer: 121.176
Step-by-step explanation:
First, multiply out the decimal points. To get 408 from 4.08, multiply by a hundred. Likewise, with 29.7, multiply it by 10.
Then, do long multiplication with 408 and 297 (you get 121176 from that).
Finally, use your answer from the long multiplication and divide it by how many times you multiplied your original numbers. So, you have to divide by 100, and then also divide by 10.
From that, you get 121.176
Ln(x)=y (log(x)) what is y?
Answer:
Step-by-step explanation:
ln(xy²/z)
1222445666161616145435463465364534534534
what is the greatest possible error of 5.78 mi.?
Answer:
2.89
Step-by-step explanation:
GPE = U * 1/2
GPE = 5.78 * 1/2
GPE = 2.89
what is the value of x?
please help!!
Answer: 20
Step-by-step explanation:
The figure below shows points PQRS on a circle centre O. QP is produced to X Angle XPS = 77 and angle PSO = 68⁰. R Find the size of angle PQO. 0 68% 770 S X
Answer:
Step-by-step explanation:
Find the slope between points (1,-1) and (2,-2)
Answer:
The slope should be -1.
----------------------------------
Hope this helps!
Have a great day and God bless! :)
================================================
Work Shown:
[tex](x_1,y_1) = (1,-1) \text{ and } (x_2,y_2) = (2,-2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-2 - (-1)}{2 - 1}\\\\m = \frac{-2 + 1}{2 - 1}\\\\m = \frac{-1}{1}\\\\\boldsymbol{m = -1}\\\\[/tex]
--------------------
Side notes:
Slope = rise/run
rise = change in y value = [tex]y_{2} - y_{1}[/tex]
run = change in x value = [tex]x_{2} - x_{1}[/tex]
Make sure you subtract in the same order each time.
Vicky has 12 clear crystals in her collection. She has c more colored than clear ones. Write an expression that shows the number of colored crystals VIcky has in her collection
Answer:
y = 12 + c
Step-by-step explanation:
Well, let's begin with what you're given, and that is that there are 12 clear ones, and there is a number of colored ones which succeeds that, which is represented by the variable c. So, we can use the equation:
y = 12 + c
To show the amount of colored ones that Vicky has in her collection, with y = number of colored crystals.