Answer:
6x - 1
Step-by-step explanation:
Side 1: 5x - 1
Side 2: 4x + 4
Side 3: Unknown, y
Perimeter: 15x + 2
Perimeter = Side 1 + Side 2 + Side 3
15x + 2 = 5x - 1 + 4x + 4 + y
15x + 2 = 9x + 3 + y
6x - 1 = y
y = 6x - 1
Side 3 = 6x - 1
Select the two values of x that are roots of this equation.
Answer:
C and D :)
Step-by-step explanation:
Answer:
c and d
Step-by-step explanation:
The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
How to determine the total revenue?The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
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Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2
B. 2x−y=−2
C. −2x−y=−22
D. −2x+y=−8
please show step by step
Answer:
A. −2x+y=−2
Step-by-step explanation:
please help i am confused.
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
cual es el máximo común divisor de 72, 90 y 36?
Answer:
6
Step-by-step explanation:
6 x 6 = 36
6 x 12 = 72
6 x 15 = 90
15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]
The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20
Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, it is specified that y varies directly as x.
That means
[tex]y \propto x\\or\\y = kx[/tex]
At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:
[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]
Thus, the relationship between x and y is: y = 54x
Now, when y = 1080, we get:
[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]
Thus, the value of x when y = 1080 for this condition is when x = 20.
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Which of the following represents 5 + 10? Mark all that apply.
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
The perimeter of a notebook is 28
inches. The area is 48 square inches.
What are the dimensions of the
notebook?
Area = length x width
Half the perimeter = length + width
half the perimeter = 14 inches.
Find 2 numbers when added together = 14 and when multiplied together = 48
6 + 8 = 14
6 x 8 = 48
the dimensions are 6 inches by 8 inches
What is the area of the patio if the yard is 12 feet on each side?
How do I do this?
144 feet squared
Step-by-step explanation:Squares are 4 sided shapes that have an equal length on each side.
Area Formula
The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].
Solving For Area
Plug the length value into the formula.
[tex]12^2=144[/tex]Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
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What is question c in the question?
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84
After 23 years $125.32 will be matured to $46,683.28.
What is the formula for recurring investment?The formula for Recurring maturity is given by:
[tex]A=P_n\dfrac{p\times n \times(n+1)}{24}\times \dfrac{r}{100}[/tex]
Where A=matured amount
P =Principal value
n=Number of months
r=Interest rate(annual)
We have P= $125.32
n=23*12 = 276 months
r=2.5*12 =30%
Put these values in the above formula
we get A= $46,683.28
Therefore, After 23 years $125.32 will be matured to $46,683.28.
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Find the missing side of the triangle. I'll mark brainiest please help!
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Answer: The answer is two
Step-by-step explanation:
of the 64 students in grade five, 3/8 of them either walk or ride a bike to school. the rest take a bus. how many fifth graders take a bus to school?
Answer:
24
Step-by-step explanation:
I did this question before.
Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
I hope this helps!!
Can someone please help me out with this question?
Answer:
don't get mad at is i don't get this right
i think it would be D
Step-by-step explanation:
Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.
Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
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Please Help! Will Give Brainlest!
Answer:
height of tress is 20 feet
Step-by-step explanation:
because tan = perpendicular/ height
we see option only 20 feet satisfy it
Answer:
Option D :- 20 feet
Step-by-step explanation:
[tex] \sf \tan ( \theta) = \frac{height}{distance} [/tex]
[tex] \rightarrow \sf \: \tan (\theta) = \frac{20}{50} [/tex]
[tex] \sf \: height \: = 20 \: ft[/tex]
Find the volume of a cone with a height of 3.25 centimeters and
a diameter of 2.2 centimeters.
Answer:
As per Provided Information
Height of cone h is 3.25 cm
Diameter of cone is 2.2 cm
Radius = Diameter/2Radius = 2.2/2
Radius = 1.1 cm
We have been asked to determine the volume of the cone .
Using Formulae
[tex] \boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}[/tex]
Substituting the given value and let's solve it
[tex]\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3} [/tex]
Therefore,
Volume of the cone is 4.11 cm³ .Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat
Answer:
10.66
Step-by-step explanation:
16/3 = 5.3
5.3 x 2 = 10.66
Have an amazing day!
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Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°
Answer:
82 degrees
Step-by-step explanation:
Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.
82 DEGREES
What is the value of x
Answer: 37
Step-by-step explanation:
74=2x
37=x
You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.
I'm just confused about how the answer choices are only 108 and 18.
Answer:
[tex]\huge\boxed{\sf x = 37}[/tex]
Step-by-step explanation:
Since, vertically opposite angles are equal:
74 = 2x
Divide 2 to both sides
74 / 2 = x
37 = x
OR
x = 37
[tex]\rule[225]{225}{2}[/tex]
Brainliest if correct
Please help asap i will give brainlist!!!!
Answer:
The answer is D
Step-by-step explanation:
This is because 5π is equal to 15.7
please help this question is hard (25 POINTS!!)
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling 2 even numbers?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/9
Step-by-step explanation:
Sum = 4: (1,3) (2,2) (3,1)
Sum = 12: (6,6)
4/36 = 1/9 or 0.111
hope that helps
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.