Answer:
[tex]\boxed{x=1}[/tex]
Step-by-step explanation:
[tex]2(10-2x) = 4(3x + 1)[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]20 - 4x = 12x + 4[/tex]
[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]
[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]
[tex]-16x = -16[/tex]
[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]
[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]
[tex]x=1[/tex]
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▹ Answer
x = 1
▹ Step-by-Step Explanation
2(10 - 2x) = 4(3x + 1)
Simple terms are written last:
2(-2x + 10) = 4(3x + 1)
Distributive Property:
-2 * 2x + 2 * 10 = 4 * 3x + 4
x = 1
Hope this helps!
CloutAnswers ❁
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a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
The car would be worth 1200.
Step-by-step explanation:
Okay, the way to solve this type of question is quite simple,
you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.
The math: 2500-(325*4)=1200
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
375 milliliters of compound B
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Step-by-step explanation:
of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answer:
you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.
Step-by-step explanation:
Thanks!
The area of a rectangular field is 6052 m².
If the width of the field is 68 m, what is its length?
Answer:
length = 89 mStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 6052 m²
width = 68 m
To find the length substitute the values into the above formula
6052 = 68l
Divide both sides by 68
We have the final answer as
length = 89 mHope this helps you
help me plz i wnt help plz i want help
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.
Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
If 6 • 3 = 18, then 4 + 8 = 20. T F → F T T → T F T → T F F → T
Answer:
False.
Step-by-step explanation:
For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":
6 * 3 = 18
If you added two after multiplying 6 and 3, you would get 20.
(6*3) + 2 = 20
8 + 4 does not equal 20.
8 + 4 = 20
12 ≠ 20
What are the coordinates of the vertices of the polygon in the graph that are in Quadrant II? A) (4,–2) B) (4,3), (0,5), (0,1) C) (–5,2), (–3,2), (–3,4) D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)
Answer:
C) (–5,2), (–3,2), (–3,4)
Step-by-step explanation:
A) (4,–2)
B) (4,3), (0,5), (0,1)
C) (–5,2), (–3,2), (–3,4)
D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)
For quadrant two the points are always (-x,y) and x is always negative.
Image shows quadrant places.
Help please all questions.
Answer:
A is A=25
B=10
B is 40
C is A=10
B=6.428
hope i helped you
sorry if it is incorrect
20x-4y=40
Find the slope of the linear equation
Answer:
the slope is 5
Step-by-step explanation:
Solve for y
20x -4y = 40
Subtract 20x from each side
20x-20x -4y = -20x +40
-4y = -20x+40
Divide each side by -4
-4y/-4 = -20x/-4 +40/-4
y = 5x -10
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 5
Solve for y:
20x - 4y = 40
Subtract 20x to both sides
-4y = 40 - 20x
Divide -4 to everything
y = -10 + 5x
Therefore, the slope is 5
Best of Luck!
An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there
Answer:
Third grade secondary = 87 students
Step-by-step explanation:
First grade = 30/100 x 250 = 75 students
Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.
Third grade = 250 - 88 - 75 = 87 students
Answer:
third grade secondary = 87 students
Step-by-step explanation:
:T
If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour?
Answer:
The average temperature per hour:
-2.5 °F
Step-by-step explanation:
(-12-48) / 24 = -60/24
-60/24 = -2.5
In average decrease:
2.5°F
per hour
(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
≈ 5.36
Step-by-step explanation:
If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.
If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.
[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]
However, I'm not 100% sure about this answer.
Hope this helped (and I hope I'm right)
Answer:
5.3589 or 5.36
Step-by-step explanation:
tan (15) = x / 20
x = 40 - 34.64
x = 5.36
What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?
Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]
Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$
Range: $[-\frac{3}{2}, -\frac{1}{2}]$
Midline: $y=-1$
1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.
Answer:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Step-by-step explanation:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Please Help Will Mark as Brainlist
Answer:
Hey there!
We can write this equation: 2x+4x=180
6x=180
x=30
Hope this helps :)
The two angles are supplementary angles. When added together they equal 180 degrees.
2x + 4x = 180
Combine like terms:
6x = 180
Divide both sides by 6:
X = 180/6
X = 30
Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357
Step-by-step explanation:
Hello, there!!!
The answer is option D.
I have given solution on the picture.
Hope it helps.....
Can someone do this?
Which function's graph has asymptotes located at the values x= ±nπ?
1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x
Answer:
[tex]y=csc(\theta)[/tex]
[tex]y=cot(\theta)[/tex]
Step-by-step explanation:
I will just change
[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]
For
[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].
On the other hand, the vertical asymptotes of tangent function occur at:
[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]
It happens because the tangent function is undefined for those values.
Answer:
It's y = csc x and y = cot x.
Step-by-step explanation:
NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?
Answer:
Bottom right.
Step-by-step explanation:
The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
Factor the following expression completely:
32
z
4
+
8
z
3
−
4
z
2
Answer:
40z + 5
Step-by-step explanation:
I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2
32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5Hope this helped
Answer:
The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)
Step-by-step explanation:
In the problem, we a re given an equation.
32z⁴ + 8z³ - 4z²
We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.
A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.
4(8z⁴ + 2z³ - z²)
So, this is your factored expression from the given equation.
A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.
Answer:
5 Gello Pens and 12 Inko Pens.
12 Inko Pens adds up to 84.
5 Gello Pens adds up to 25.
84 + 25 = 109.
I hoped this helped :)
Which fraction is equivalent to -0.12? A. -3/25 B. -7/50 C. 4/25 D. -6/25 Please show ALL work! <3
Answer:
[tex]\huge\boxed{-\frac{3}{25} }[/tex]
Step-by-step explanation:
-0.12 in fraction form can be written as:
=> - 12/100
=> - 6 / 50
=> - 3/25
Answer:
[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]
Step-by-step explanation:
Convert the decimal to a fraction.
-(0.12) = -(12/100)
Simplify the fraction.
-(12/100) = -(6/50) = -(3/25)
write the slope- intercept form of the equation for the line.
Y=2x-1
Y=1/2x-1
y=-2x-1
y=1/2x+1
Answer:
The answer will be y=2x-1
Step-by-step explanation:
With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.
Going down is 4 points, and over is 2.
4/2 is 2.
This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.
Thank you, if you need any more help let me know.
Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20
Complete question:
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
Answer: 3/20
Step-by-step explanation:
From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)
Given that:
P(arrow landing on red) = 11 / 20
P(arrow landing on blue) = 6/20
The probability of arrow landing on green is therefore :
Sum of the probabilities of red and blue :
P(arrow landing on red) + P(arrow landing on blue)
= (11/20 + 6/20) = 17/20
Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.
Then:
P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1
Hence,
P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]
P(arrow landing on green) = 1 - [11/20 + 6/20]
P(arrow landing on green) = 1 - 17/20
P(arrow landing on green) = 3/20
Find f-1.
f(x)=4 log2 (x – 7)
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
write the slope- intercept form of the equation for the line
y=-8/7x-3/2
y=7/8x-3/2
y=-7/8x-3/2
y=-3/2x+7/8
Answer: All options are in slope-intercept form
i hope this helps .
Step-by-step explanation:
1.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]
2.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]
3.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]
4.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]
