Answer:
n = 14
Step-by-step explanation:
7n +9 = -1+6(n+4)
Distribute
7n+9 = -1 +6n+24
Combine like terms
7n +9 = 6n +23
Subtract 6n from each side
7n -6n+9 = 6n-6n +23
n+9 = 23
Subtract 9 from each side
n+9-9=23-9
n = 14
∠5 is a supplement of ∠6, and m∠5=78°. Find m∠6.
Answer:
[tex]102^\circ[/tex]
Step-by-step explanation:
Given that:
[tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].
m[tex]\angle 5[/tex] = 78°
To find:
m[tex]\angle 6[/tex] = ?
Solution:
First of all, let us learn about the concept of an angle being a supplement of the other angle.
[tex]\angle B[/tex] is known as supplement of [tex]\angle A[/tex], if sum of the two angles is equal to 180°.
[tex]i.e. \angle A +\angle B=180^\circ[/tex].
For example, angle made on one side by a line intersecting the other line are supplement of each other.
Here, we are given that [tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].
In other words:
[tex]\angle 5+\angle 6=180^\circ[/tex]
Putting value of [tex]\angle 5[/tex]:
[tex]\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}[/tex]
So, the answer is: [tex]102^\circ[/tex]
Multiply the number by 4. Add 10 to the product. Divide this sum by 2. Subtract 5 from the quotient.
The first number is 1 and the result is 2
The second number is 5 and the result is 10
the third number is 9 and the result is 18
the fourth number is 10 and the result is 20
Write a conjecture that relates the result of the process to the original number selected. part a)
Represent the original number as n.
Answer is 2n
part b Represent the original number as n, and use deductive reasoning to prove the conjecture in part (a). Multiply the number by 4.
Help with part b please.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following instructions :
It can be deduced from part a that the final result will be twice the original number 'n'
The number 'n' multiplied by 4 = (4 * n) = 4n
10 added to 4n = 4n + 10
The result of the sum divide by 2 = (4n + 10) / 2
= 2n + 5
5 subtracted from the result of the quotient obtained : 2n +5 - 5 = 2n
Where n is the original number.
2n = twice the original number.
What is the value of the bisecting angle, x, marked on this square?
The four corners of a square are 90 degrees.
They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.
The lines form triangles, which have 3 angles that need to equal 180 degrees.
Two of the angles are 45, so 45 + 45 = 90 degrees.
X = 180 -90 = 90 degrees.
Answer:
90 degrees
By 90 * 4 is 360
Step-by-step explanation:
A student has a rectangular block.It is 2 cm wide 3 cm tall and 25 cm long.It has a mass of 600 g.
whats 2 ( 4 + 7 ) =
Answer:
22. first multiply two with the digits and signs then add
So using order of operations (parentheses, exponents, multiplication & division, addition & subtraction), you have to do 4+7 inside the parentheses first, then multiply that by 2.
4+7=11
11×2=22
2(4+7)=22
♡ Hope this helps! ♡
❀ 0ranges ❀
Find the value of x in the triangle shown below.
4
5
Choose 1 answer
Answer:
x=3
Step-by-step explanation:
using the pythagorean theorem, c^2=a^2+b^2
5^2=x^2+4^2, x=3
Answer:Three is the right answer I just finished
Step-by-step explanation:
For each problem, find the missing value using the Pythagorean Theorem
Answer:
b = √2
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
a = Leg₁
b = Leg₂
c = Hypotenuse
Step 1: Plug in variables
3² + b² = (√11)²
Step 2: Solve
9 + b² = 11
b² = 2
b = √2
And we have our answer!
Find the length of BC¯¯¯¯¯¯¯¯ A. 53.68 B. 48.21 C. 66.35 D. 28.34
Answer:
A 53.68
Step-by-step explanation:
tan54° = BC/39
BC = tan 54° x 39
BC = 53.68
Answer:
A. 53.68
Step-by-step explanation:
x & y intercept for 4x+6y=12
Answer:
x- intercept at (3, 0)
y- intercept at (0, 2)
Step-by-step explanation:
x-intercept occurs at y=0.
4x +6y= 12
when y=0,
4x +6(0)= 12
4x= 12
x= 12 ÷4
x= 3
Thus, x-intercept occurs at x=3, at the point (3, 0).
y- intercept occurs at x=0.
4x +6y= 12
when x=0,
4(0) +6y= 12
6y= 12
y= 12 ÷6
y= 2
Thus, y- intercept occurs at the point (0, 2).
Find any real numbers for which the rational expression is undefined. x+8/x-3 select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
x = 3
Step-by-step explanation:
What you wrote, x + 8/x - 3 means [tex] x + \dfrac{8}{x} - 3 [/tex].
I assume you didn't mean that, but instead, you mean
[tex] \dfrac{x + 8}{x - 3} [/tex], so I'll use this expression in the problem.
A fraction cannot have zero in the denominator since division by zero is undefined and not allowed. The denominator of the fraction is x - 3.
We need to find which value of x makes the expression x - 3 have a value of zero. Then that is the value of x that must be excluded from the domain.
We set the denominator equal to zero, and we solve for x.
x - 3 = 0
Add 3 to both sides.
x = 3
A value of 3 used for x makes the denominator equal zero, so the real number for which the expression is undefined is
x = 3.
Can someone please proof check it . If I am wrong, please tell me. thank you
Answer:
2b - 2a
Step-by-step explanation:
AB = AO + OB
= - 2a + 2b = 2b - 2a
Given the equation 5 + x -12 = 2x - 7. Part A. Solve the equation 5 + x - 12 = 2x - 7. In your final answer, be sure to state the solution and include all of your work. Part B. Use the values x = -0.5,0,1 to prove your solution to the equation 5 + x - 12 = 2x - 7 . In your final answer, include all of your calculations.
Answer:Solving for 5 + x - 12 = 2x - 7
Standard form:
−x = 0
Factorization:
−x = 0
Solutions:
x = 0
The solution is x = 0
The value of x in the equation 5 + x -12 = 2x - 7 is x = 0
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 equation be represented as A
Now , the value of A is
5 + x -12 = 2x - 7 be equation (1)
On simplifying the equation , we get
Subtracting x on both sides of the equation , we get
5 - 12 = x - 7
Adding 7 on both sides of the equation , we get
x = 5 - 12 + 7
On simplifying the equation , we get
The value of x = - 7 + 7
The value of x = 0
Therefore , the value of x = 0
Hence , the value x of the equation is x = 0
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Please Help. Most helpful answer and explanation would be very appreciated. I don't understand this.......Write each of the following equations in slope-intercept form.
1.) y − 1 = 4x − 4
2.) 3x = 2 − y
Answer:
1.) y = 4x - 3
2.) y = -3x + 2
Step-by-step explanation:
I'm not really sure how to explain it super well, but I do know the answers
Some friends want to see a movie that is showing at two different theaters in town. They plan to share three tubs of popcorn during the movie.
Movie theatre prices. Theatre A: ticket price 14 dollars 50 cents, popcorn 5 dollars 75 cents. Theatre B: ticket price 13 dollars, popcorn 6 dollars 75 cents.
Answer:
Let's call x as the number of friends, now, in Theatre A we have:
Price for x tickets = x*$14.50
price for 3 tubs of popcorn = 3*$5.75 = $17.25
Total price:
Pa(x) = $14.50*x + $17.25
Now, for Theatre B we have:
Price for x tickets = $13*x.
Price for 3 tubs of popcorn: = 3*$6.75 = $20.25
Total price:
Pb(x) = $13*x + $20.25.
Now, we can find the number of friends x in such case that they will pay the same in each theater by:
Pa(x) = Pb(x)
$14.50*x + $17.25 = $13*x + $20.25.
Now we solve this for x:
($14.50 - $13)*x = $20.25 - $17.25 = $3
$1.50*x = $3
x = $3/$1.50 = 2.
Then, if there are 2 friends, they will pay the same in both theatres
If there are more tha 2 friends, the cheaper place will be Theatre B, because the slope is smaller, which means that for each additional ticket the total price will increase less.
2. 8- X6 + 9x2 - 2x
polynomial i need help
Answer:
26-8x
Step-by-step explanation:
factor the expression
simplify the expression
The third side is described in relation to one of the equal sides, so let x = the length of one of the equal sides. Which equation models the problem? x + x + (5 – 2x) = 23 x + x + (2x – 5) = 23 x + x + (2x + 5) = 23 x + (2x – 5) + (2x – 5) = 23
Answer:
its b
Step-by-step explanation:
tta be just trust me
Answer:
It's B and the length of the third side of the triangle is 9cm.
Step-by-step explanation:
One of the two equal sides S. Both of them 2S. The third side is 2S5. The perimeter is 2S2S5 and that's 23. So 4S5 23, then 4S28, and S7. The third side is 2S5, and that's 9.
Options for first blank: V=PR V=(PR)^(1/2) V=P^2R Options for second blank 16 5 4
Answer:
The formula to find the voltage is:
[tex]v=\sqrt{P*R}[/tex]
And the voltage is 4 volts
Step-by-step explanation:
To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?
First, multiply both sides with R:
[tex]P*R=\frac{v^{2} }{R} *R[/tex]
That would result into removing the divisor R from the right side of the equation:
[tex]P*R=v^{2}[/tex]
Next, square-root both sides:
[tex]\sqrt{P*R} =\sqrt{v^{2} }[/tex]
That would result in removing the square of v from the right side of the equation:
[tex]\sqrt{P*R} =v[/tex]
Thus we get the equation, [tex]v=\sqrt{P*R}[/tex].
To find out the voltage, simply replace R with 32 and P with 0.5
[tex]v=\sqrt{0.5*32}[/tex]
[tex]r=\sqrt{16}[/tex]
[tex]r=4[/tex]
Thus, the voltage is 4 volts.
how's yalls day going? 2nd day of school for me and I'm feeling great! stay safe people
I just got my g mail and I went in during the middle of the class
Answer:
hi :)
Step-by-step explanation:
a parallelogram has sides lengths of 7inches and 11inches find the perimeter
Answer:
36 inches
Step-by-step explanation:
7 * 2 = 14
11 * 2 = 22
14 + 22 = 36
Answer: 36
Step-by-step explanation: Perimeter is the outside of a shape, so you double each number and add them since a parallelogram has 4 sides. 11+11=22. 7+7=14. 14+22=36
1. for the equation 17h+6=40 select the appropriate property of equality to move the constant term to the right side of the equation
Ok so there are two ways to do this kind of pre-algebra.
I'm going to do it the way I learned it, and the way they teach you in schools.
Ok so you want the variables on one side and the constant term (normal numbers) on the other side (of the equation).
So to do that you have to bring the 6 to the right side.
17h=40+6
Except when you move it to the other side you have to change the sign in front of it.
+ → -
- → +
× → ÷
÷ → ×
In this case, there is an addition sign in front of the 6.
So + → - and the final equation is...
17h=40-6
If you want to do it the way they do it in schools, then you have to remove 6 from both sides (so it will still be equal).
17h+6=40
You have to subtract 6 from (17h+6), which would be 17h.
Then you have to subtract 6 from (40), which would be 40+(-6) or 40-6
The final equation is 17h=40-6
Ok so 40-6=34.
So 17h=34
Divide 34 by 17 or divide each side by 17.
h=34/17 or 2
♡ Hope this helped! ♡
❀ 0ranges ❀
Answer:
40-6=34.
So 17h=34
Divide 34 by 17 or divide each side by 17.
Step-by-step explanation:
Hope this helps!
PDF attached below All questions are related to each other
1. The first option is represented by a linear function, ∴ y = 50x + 150. The y intercept here is 150, as the first week is 200 dollars, not the 0th week. 200 - 50 = 150.
Given the domain here is 1 - 6 (6 weeks) we can plug in x as 1,2,3 etc and solve for y, completing the table.
Option A :
Week | 1 | 2 | 3 | 4 | 5 | 6 |
Amount Paid | 200 | 250 | 300 | 350 | 400 | 450 |
And for option b we have an exponential function. 1 + 10% = 1 + 0.1 = 1.1. Therefore we have the function ∴ y = 200( 1.1 )^x-1 that models this situation. Remember that we have " x - 1 " as the exponent rather than x, as the first week begins with 200 dollars, not the 0th week.
That gives us the following table,
Option B :
Week | 1 | 2 | 3 | 4 | 5 | 6 |
Amount Paid | 200 | 220 | 242 | 266.2 | 292.82 | 322.102 |
2. (a) We already calculated the " iterative rules " for each sequence in the first part. For your explanation on that behalf, just include the explanation above. Rule of Option A : y = 50x + 150. Rule of Option B : [tex]y = 200( 1.1 )^{x-1}[/tex].
(b) Let's take an example week and substitute into our equations to help clarify our friend's doubt. Say week 2...
y = 50(2) + 150 = 100 + 150 = 250 ✓
y = 200( 1.1 )^2-1 = 200( 1.1 )^1 = 200( 1.1 ) = 220 ✓
3. (a) A function is an equation that represents the relation between x and y, which is exactly the purpose of the rules y = 50x + 150, and y = 200( 1.1 )^x-1.
(b) I disagree with my friend. These particular examples do have y - intercepts, but just because a rule is a function, doesn't make it have a y - intercept. There are some exceptions, such as y = 1 / x.
(c) An input such as 18.5 is meaningless, as x represents the weeks. An employer doesn't provide the payments at half weeks.
4. Let's substitute 20 as x,
y = 50 * 20 + 150 = 1,000 + 150 = $1,150
y = 200( 1.1 )^x-1 = 200( 1.1 )^20-1 = 200( 1.1 )^19 = $1,223.1818
The first payment option will provide the greatest total income.
how many plants of each variety were planted?
Answer: u didnt give us the full problem
Step-by-step explanation:
List three ordered pairs that represent solutions to the equation x - y = 5.
Answer:
2x-y=3
Step-by-step explanation:
The discriminant is a quick way to determine the quantity and type of the possible solutions of a quadratic equation. If the discriminant has a value of -28, what can we conclude about the solution(s) to the equation? There are two real solutions to the quadratic equation. There is only one real solution to the quadratic equation. There are three real solutions to the quadratic equation. There are no real solutions to the quadratic equation.
Step-by-step explanation:
3x2 -5x+1=0
Quadratic eq ax2 +bx+c=0
Discriminant=b2 -4ac
=(-5)2 -4*3*1
=25-12
=13>0 so 2 solutions.
Find the value of x. A. 20 B. 22–√ C. 163 D. 30−−√
Answer: Choice D. sqrt(30)
sqrt is shorthand for "square root"
======================================================
Explanation:
We'll use the intersecting chords theorem here
We multiply the pieces of each chord together and set the products equal to one another to help solve for x
TW*WU = CW*WV
x*2x = 6*10
2x^2 = 60
x^2 = 60/2
x^2 = 30
x = sqrt(30)
The value of x is √30. The correct option is D.
What is an intersecting chords theorem?The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.
Use the intersecting chords theorem here. Multiply the pieces of each chord together and set the products equal to one another to help solve for x
TW*WU = CW*WV
x*2x = 6*10
2x² = 60
x² = 60/2
x² = 30
x = √(30)
Therefore, the value of x is √30. The correct option is D.
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i need help with 5 please
Answer:
28
Step-by-step explanation:
When x is equal to 4, j(x) = 28.
What is the product of (x+1) (x+4)
Answer:
x² + 5x + 4
Step-by-step explanation:
(x + 1) (x + 4)
apply the FOIL method
xx + (x * 4) + (1 * x) + (1 * 4)
xx + 4x + (1 * x) + (1 * 4)
xx + 4x + 1x + 4
x² + 5x + 4
If you were to round 897.234 to the hundredths place, what would be the
number?
Your answer
This is a required question
Answer:
897.23
Step-by-step explanation:
The decimal places start at the tenths:
00.tenths, hundredths, thousandths
So you would need to end up with only two numbers after the decimal.
To round, if a number is 4 or less, leave the next number as it is.
Ex: 2.32 → 2.3 Rounding to the tenths
78.614 → 78.6 Rounding to the tenths
If the number is 5 or higher, round up one number
EX: 37.76 → 37.8 Rounding to the tenths
6.389 → 6.4 Rounding to the tenths
Our number, 897.234, needs to be rounded to the hundredths place, so use the number to its right to determine the rounded value. The number 4 means that the hundredths place will remain the same, so the new value is:
897.23
:Done
how many solution this equation have 3r-5=3r-5
Answer:
infinite solutions
Step-by-step explanation:
Hello!
Since 3r - 5 is on both sides of the equation we can put any number in for r and it would still be true so the answer is infinite solutions
The answer is infinite solutions
Hope this helps!
The sum of a number and six is two less than half the same number.
Answer:
-16
Step-by-step explanation:
x+6=x/2-2
solve the equation, x=-16
check:
-16+6=-10
-16/2=-8
-10-(-8)=-2
If the sum of a number and six is two less than half the same number then the number is -16.
Given,
The sum of a number and six is two less than half the same number
We will find the unknown number.
We have,
The sum of a number and six is two less than half the same number.
Let the unknown number be M.
Let us separate the given statement into parts:
- Sum of a number and six
This can be written as M + 6.
- is means equal sign "=".
- Two less than half the same number.
This can be written as (1/2)M - 2.
Now,
We can write as:
M + 6 = (1/2)M - 2
M - (1/2)M = -2 - 6
(1/2)M = -8
M = -8 x 2
M = -16
Thus the unknown number is -16.
We can also crosscheck:
M + 6 = (1/2)M - 2
-16 + 6 = (1/2)(-16) - 2
-10 = -8 -2
-10 = -10
Hence proved.
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