Answer:
n =0.8Step-by-step explanation:
[tex]3(n+1)=5.4[/tex]
Expand ; 3(n+1)
[tex]3(n+1) =3n +3\\\\3n+3 =5.4[/tex]
Collect like terms and simplify
[tex]3n =5.4-3\\3n=2.4[/tex]
Divide both sides of the equation by 3
[tex]\frac{3n}{3} = \frac{2.4}{3} \\\\n = 0.8[/tex]
Answer:
The value of n is 0.8 .
Step-by-step explanation:
First, you have to expand to get rid of brackets :
[tex]3(n + 1) = 5.4[/tex]
[tex]3n + 3 = 5.4[/tex]
Next, you have to subtract 3 on both sides to remove 3 at the left side :
[tex]3n + 3 - 3 = 5.4 - 3[/tex]
[tex]3n = 2.4[/tex]
Lastly, you have to divide 3 on both sides :
[tex]3n \div 3 = 2.4 \div 3[/tex]
[tex]n = 0.8[/tex]
A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in Fig. 12.17. How much paper of each shade has been used in it?
Answer:
15.6 is the right answer
Step-by-step explanation:
Helene wrote a report. It took her 4 hours to write 24 pages.
What was her unit rate in pages per hour?
A.
1 득
page per hour
B.
page per hour
C. 6 pages per hour
D. 7 pages per hour
Answer:
C
Step-by-step explanation:
24÷6= 6 Hope this helps.
plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25
Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
What is an equation?One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.
The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.
The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.
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divide 4,000,000 in the ratio 2 is to 3 is to 4 is to 5 is to 6
Answer:
Step-by-step explanation:
2+3+4+5+6=20
20/20=4,000,000
2/20=?
2/20×4,000,000÷20/20=400,000
20/20=4,000,00
3/20
3/20×4000000÷20/20=600,000
20/20=4,000,000
4/20
4/20×4,000,000÷20/20=800,000
20/20=4,000,000
5/20
5/20×4,000,000÷20/20=1,000,000
20/20=4,000,000
6/20
6/20×4,000,000÷20/20= 1,200,000
2:3:4:5:6=400,000 :600,000: 800,000 : 1,000,000: 1,200,000
Simplify the given expression below: (4+2i)-(1–7i)
Answer:
3 + 9i
Step-by-step explanation:
(4 + 2i) - (1 - 7i)
distribute the (-)
(4 + 2i) - 1 + 7i
combine like terms
3 + 9i
Find the extraneous solution of the equation |2x−12|=−4x.
Answer:
X=2
Step-by-step explanation:
|2x -12| = -4x
2x-12 = -4x
2x - (-4x) = 12
2x +4x =6x
6x=12
x=12/6
x=2
help me I don't understand
Answer: the answer should be A
if this helps the equation format is y= mx + b your replace the with the slop and the b with the y intercept
the way to find the slope is rise over run
Step-by-step explanation:
At 11:00 p.m. , the temperature in Alaska was -5 degrees. Four hours earlier, the temperature was 40 degrees warmer. What was the temperature at 7:00 p.m. ?
Answer:
35°
Step-by-step explanation:
-5° + 40° = 35°
So the ansWer is 35°
240 students to 12 teachers as ratio
Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
Solve the inequality. Graph the solution
|2x+7|>23
If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.
Then the inequality becomes:
2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)
If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).
Then the inequality becomes:
-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.
(which is an acceptable result since we already assumed x<-3.5)
Thus the answer is x<-15 or x>8.
The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.
Select the correct graph for the function ƒ(x) = –x – 7.
Step-by-step explanation:
The second graph is the right one
Answer:
see below
Step-by-step explanation:
f(x) = -x-7 is of the form
y = mx+b where m is the slope and b is the y intercept
The line has a y intercept of (0,-7) and a slope of -1
A slope of -1 means the line goes down from left to right ( down 1 and to the right 1)
Verify that ϕ(x)=2(1−cex), where cis an arbitrary constant, is a one-parameter family of solutions to dydx=y(y−2)2.Graph the solution curves corresponding to c=0,±1,±2using the same coordinate axes.
Answer:
Following are the solution:
Step-by-step explanation:
Given equation:
[tex]\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)[/tex]
[tex]\Phi (x) = \frac{2}{1-ce^x}[/tex]
In the question [tex]\Phi (x)[/tex], is a solution of the equation (a) only if when [tex]\Phi (x)[/tex]satisfies equation (a):
let us find [tex]\Phi' (x)[/tex]:-
[tex]\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})[/tex]
[tex]= 2 \frac{d}{dx}({1-ce^x}^-1)\\\\= 2 (-1) ({1-ce^x})^{-2} \frac{d}{dx}({1-ce^x})\\\\= -2 ({1-ce^x})^{-2} (-ce^x})\\\\= 2(-ce^x) ({1-ce^x})^{-2} \\\\[/tex]
Now:
[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\[/tex]
by subtracting the value of [tex]\Phi (x)[/tex]and [tex]\frac{d}{dx}[/tex][tex]\Phi (x)[/tex],we get:
[tex]\to[/tex][tex]2ce^x(1-ce^x)^-2= \frac{(\frac{2}{1-ce^x})(\frac{2}{1-ce^x})^{-2}}{2}[/tex]
[tex]=2ce^x (1-ce^x)^{-2}=\frac{1}{2}[\frac{2}{1-ce^x}(\frac{2-2(1-ce^x)}{1-ce^x)}]\\\\= \frac{1}{1-ce^x} \times \frac{2ce^x}{1-ce^x}\\\\=\frac{2ce^x}{(1-ce^x)^2}\\\\=2ce^x (1-ce^x)^-2[/tex]
[tex]\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}[/tex]
[tex]\Phi (x)[/tex] the solution of the given equation. [tex]\Phi (x)[/tex] has one Parameter Family of
[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}[/tex]
[tex]\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\[/tex]
Help me plz ASAP explain why
Answer:
a. -2
b. 3
c. 3
d. -3
e. x=-2
Step-by-step explanation:
When a question asks for f(x), it is basically just asking for what the y-value is at the given point of x. So for example, to solve the first one: f(-4), we see that the x-value is -4. This means it is asking for the y-value at x=-4. As we can see from the graph, where x = -4, the y-value is -2 (along the bottom flat line) therefore f(-4) = -2.
This is the same for the other three, f(0) = 3 because the line at x=0 is crossing at y=3. etc.
Finally e is difference because it is instead asking for the x-value when y=6. To solve this we just need to find a point on the graph where the line is at y=6. This, as we can see is at the top of the highest point and occurs where x=-2.
Hope this helped!
Witch are examples of unit rates
Answer:
30 miles in 2 hours
Step-by-step explanation:
Answer:
A unit rate is a rate where the second quantity is one unit , such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. Example 1: A motorcycle travels 230 miles on 4 gallons of gasoline. Find the average mileage per gallon.
Step-by-step explanation:
I need help please! I really need this fast
Is the value of the first 5 ten times as great as the value of the second 5 in 5,045
Answer:
No
Step-by-step explanation:
Its 1000
Please answer I will make you Brainliest if it's right
Answer:
perfect square
Step-by-step explanation:
1. Is -2.75 a whole number rational number or a integer ?
Answer:
its an integer
Step-by-step explanation:
Because it has a negative sign
Can you assume intersection of lines from a diagram
Answer:
No
Step-by-step explanation:
t the two equations for the lines into slope-intercept form. ...
Set the two equations for y equal to each other.
Solve for x. ...
Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.
Compute the difference: -115-(-115) *
Answer:
0
Step-by-step explanation:
-115-(-115)
Subtracting a negative is like adding
-115 + 115
0
The answer is 0
Because they subtract each other
Explain how to find the y-intercept of a linear equation.
Answer: simply
Step-by-step explanation: Example: 15y= -5x+0 First move -5 to other side of equal sign. So 15y+5x=0 Then simply by dividing by 5. So 5y+x=0
If A=[xy5−8] determine the values of x and y for which A2=A.
Answer:
x = 9, y = -72/5Step-by-step explanation:
Given the 2 by 2 matrix [tex]A = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right][/tex] , we are to find the value of x and y for the expression A² = A to be true.
First we need to find A² by multiplying the same matrix together
[tex]A^2 = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right] \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\\\ \ we \ normally \ multiply \ the \ rows \ of \ the \ first \ matrix \ with \ the \ column \ of \ the \ second \\\\A^2 = \left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right]\\\\Since \ A^2 = A,\ hence;\\\\\left[\begin{array}{-cc}x^2+5y&5x-40\\xy-8y&5y+64\\\end{array}\right] = \left[\begin{array}{-cc}x&5\\y&-8\\\end{array}\right]\\[/tex]
Equating the first row and second column of both matrices together, we will have;
5x-40 = 5
add 40 to both sides of the equation
5x-40+40 = 5+40
5x = 45
x = 45/5
x = 9
Similarly, we will equate the second row and second column of both matrices to have;
5y+64 = -8
Subtract 64 from both sdies
5y+64-64 = -8-64
5y = -72
y = -72/5
Hence the value of x is 9 and y is -72/5
Matrices are used to represent data in rows and columns
The values of x and y are 9 and -14.4 respectively.
Matrix A is represented as:
[tex]\mathbf{A = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }[/tex]
Calculate [tex]\mathbf{A^2}[/tex]
[tex]\mathbf{A^2 = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] \times \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }[/tex]
Recall that [tex]\mathbf{A^2 = A}[/tex]
This means that:
[tex]\mathbf{\left[\begin{array}{ccc}x^2++5y&5x-40\\xy-8y&5y+64\end{array}\right] = \left[\begin{array}{ccc}x&5\\y&-8\end{array}\right] }[/tex]
So, by comparison
[tex]\mathbf{5x - 40 = 5}[/tex]
[tex]\mathbf{5x = 40 + 5}[/tex]
[tex]\mathbf{5x = 45}[/tex]
[tex]\mathbf{x = 9}[/tex]
Similarly
[tex]\mathbf{5y + 64 = -8}[/tex]
[tex]\mathbf{5y =-64 -8}[/tex]
[tex]\mathbf{5y =-72}[/tex]
[tex]\mathbf{y =-14.4}[/tex]
Hence, the values of x and y are 9 and -14.4 respectively.
Read more about matrices at:
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8
Answer:
8
Step-by-step explanation:
8 is the digit after 7 and previous to 9
5000000 divided by what equals 400
If 3x = y - 5 and x = -4, then y =*
Answer:
y = -7
Step-by-step explanation:
3(-4) = y - 5
-12 = y - 5
y = -12 + 5
y = -7
Find the decimal equivalent to 4/15
To find a decimal that is equavalent to 4/15, all we need to do is divide.
4 / 15 = 0.26666...
Best of Luck!
The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.
(apply polya's problem solving method)
Answer:
[tex]\huge\boxed{\sf x = 14 , y = 10}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:
x + y = 24 ---------------------(1)Condition # 2:
x = 2y - 6 ----------------------(2)[tex]\rule[225]{225}{2}[/tex]
Putting Equation # 2 in Equation # 1
2y - 6 + y = 24
3y - 6 = 24
Adding 6 to both sides
3y = 24 + 6
3y = 30
Dividing both sides by 3
y = 10
[tex]\rule[225]{225}{2}[/tex]
Putting y = 10 in Equation # 2
x = 2y - 6
x = 2(10) - 6
x = 20 - 6
x = 14
[tex]\rule[225]{225}{2}[/tex]
The two numbers are 10 and 14.
The sum of 2 numbers is 24.
let the number be x and y . Therefore,
x + y = 24
One is 6 less than twice the other. therefore,
2x - y = 6
Combine the equations
x + y = 24
2x - y = 6
3x = 30
x = 30 / 3
x = 10
x + y = 24
10 + y = 24
y = 24 - 10
y = 14
The 2 numbers are 10 and 14 .
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Maria has an 8 sided die that is numbered 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?
Answer:
12 times.
Step-by-step explanation:
96÷8=12
PLEASE HELPPPPP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 3/4 of the pizza. On Sunday morning he ate 1/6 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*
Answer:
50%
Step-by-step explanation:
34+16=50% he or she ate half of the pizza
The area of a triangle is 11.5 square in the base is 23 in what is the height in inches
Answer:
Height = 1 inch
Step-by-step explanation:
area of triangle = 1/2 x base x height
11.5 =1/2 x 23 x height
23/23 = height
height = 1
h = 1 inches
Step-by-step explanation:The area of a triangle = formula
A = b×h/2
2A = b×h
h = 2A/b
h = 2×11.5in²/23in
= 23in²/23in
= 1 in