Answer:
6k-3 or 3(2k-1)
Step-by-step explanation:
First, you need to multiply 1/2 by both the numbers in the parentheses
1/2(12k-6)=
(1/2)(12k)+(1/2)(-6)Then, you need to simplify your answer
6k-3*If needed, you can simplify further by taking out a factor of 3
3(2k-1)Answer:
[tex]3(2k-1)[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(12k-6)[/tex]
Expand the bracket by multiplying by 1/2:
[tex]6k-3[/tex]
Simplify further by taking out a factor of 3:
[tex]3(2k-1)[/tex]
What is the probability of getting an odd number 1-10?
Answer:
1/2 - Half of the numbers are odd
The angle measurements in the diagram are represented by the following expressions
Answer:
Ahhh, vertical angles, thank goodness for these, hahaha!
According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.
Knowing this, you have to set each equation equal to each other in order to solke this one!
Let's do it!
6x + 18 = x + 93
STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.
5x + 18 = 93
STEP 2: Get X alone by subtracting 18 from both sides.
5x = 75
STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.
FINAL ANSWER: x = 15
NOTE: X is B.
Answer:
For whom ever has this question
B=108 x=15
i think of a number , take away 1 and multiply the result by 3
Answer:
Step-by-step explanation:
Let the number be x
Take away 1: x -1
Then multiply the result by 3: (x- 1) * 3 = (x-1)3 or 3x - 3
The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?
Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s
The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.
Which of the following is most likely to be a relative minimum for this graph?
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
A recipe for a batch of blueberry muffins calls for 3/5
the cup of blueberries. If Riley wants to make 1/2
a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?
Riley will need cups of blueberries.
Answer:
3/10
Step-by-step explanation:
Half of 3/5 is 3/10
Brainliest plss
Answer:
3/10
Step-by-step explanation:
You multiply 3/5 by 1/2.
3/5 x 1/2= 3/10
Hope I could help :)
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
A teacher has a 2-gallon (32-cup) container of juice. She gives each student a 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a. y = 32x - 1/2 b. y = 1/2x - 32 c. y = -1/2 x + 32 d. y = -32 x + 1/2 WILL GIVE BRAINLIEST FOR GOOD EXPLANATION
Answer:
total cup = 32
1 student = 1/2 cup
find remaining cup = y
*we don't know how many students are there, so we just let it be x .
remaining cup = total cup - cup drank by students
y = 32 - 1/2x
y = -1/2x + 32 ( option c )
why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .
Anyone know the answer ?
Answer:
n = 7
Step-by-step explanation:
[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]
Multiple choice easy question! Please help!!!! Question in photo.
Answer:
B. -5.5 + (-8.3)
Step-by-step explanation:
The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.
ANSWER B. -5.5 + (-8.3)
G(x)=3x^2-12x+8 maximum or minimum
Answer:
Minimum
Explanation:
This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.
Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.
what role do binomial factors (like (x+3) and (x-2) ) have in algebra.
Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.
one day sally won the lottery she won 654321 dollars and her brother mark won 76543 dollars how much money is there together?
Answer:
730864
Step-by-step explanation:
654321 +76543=730864
find the number missing from the following equivalent fractions: 9/15= ?/60
Answer:
36/60
Step-by-step explanation:
Divide the larger denominator with the smaller denominator.
60/15 = 4
Use this number and multiply this to the numerator to get the unknown.
4*9=36
Can someone pls help me with this?
Airborne Airlines Inc. has a $1,000 par value bond outstanding with 20 years to maturity. The bond carries an annual interest payment of $102 and is currently selling for $880. Airborne is in a 30 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.
a. Compute the yield to maturity on the old issue and use this as the yield for the new issue. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Make the appropriate tax adjustment to determine the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
Answer:
(a) 11.64%
(b) 8.15%
Step-by-step explanation:
Airborne airlines has an annual interest of payment= $102
Principal payment= $1,000
Time to maturity= 20 years
Current price of the bond= $880
The formular for calculating the yield on maturity is
[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)
(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]
= [102+ (120/20)]/ [528+400]
= [102+6]/ 928
= 108/928
= 11.637%
= 11.64% ( to 2 decimal places)
(b) Kd= Yield(1-T)
Kd= 11.64(1-0.30)
Kd= 11.64×0.7
Kd= 8.145%
Kd= 8.15%( to 2 decimal places)
Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%
solve the following simultaneous linear+y=3and3x-y=1
Answer:
x= 4/3 and y=3
Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.
M(angle)1 =. Degrees
Answer:
Angle [tex]m\angle 1 = 35^o[/tex]
Step-by-step explanation:
Our goal is to find appropriate symmetries within the given diagram, so we can use the property of the addition of internal angles of a triangle that render [tex]180^o[/tex].
So we start by drawing a line that goes through the center of the circle and also through the vertex of angle [tex]m\angle 1[/tex]. Please see the attached image to follow the procedure. In the image, the line is a fine black line that crosses the circle completely.
Now we draw the four radii that will define clearly the central angles of [tex]100^o[/tex] and [tex]30^o[/tex] that come as information.
Then we set our efforts to analyze the two triangles (one marked with green borders, and the other one marked with orange borders. Notice that the angle on the further right for the triangle with orange borders is in fact half of the angle [tex]m\angle 1[/tex] that we need to find, so we will work our way to determine the size of it and then multiply it by two.
We need to start though with the triangle with green borders because it has more information that we can derive.
Notice that this green triangle has a central angle equal to [tex]115^o[/tex], because it has to measure the same as 180 degrees minus half of the 100 degrees angle and minus half of the 30 degree angle in order to add to form the perfect plane angle of the circle's diameter:
[tex]180^o-50^o-15^o=115^o[/tex]
Now, notice as well that this green triangle is an isosceles triangle (has two equal sides (both equal to the radius of the circle), and therefore the angles opposite to them must be equal. We can find the measure of either such angles by using the property of additions of internal angles of a triangle to render [tex]180^o[/tex], subtracting from it the 115 degree angle we know, and dividing the result by two:
[tex]180^o-115^o=65^o[/tex]
half of this is [tex]32.5^o[/tex]
Now we use this angle, to find its supplementary angle, which would be the angle on top of the orange triangle:
[tex]180^o-32.5^o=147.5^o[/tex]
Now all we need is to use the property of addition of internal angles for the orange triangle (of which we currently know a 15 degree angle and a 147.5 degree angle) to find what half of angle [tex]m\angle 1[/tex] is:
[tex]180^o-147.5^o-15^o=17.5^o[/tex]
then angle [tex]m\angle 1[/tex] is twice this value: [tex]m\angle 1 = 35^o[/tex]
what is the probability that the next person you meet was not born in February? No leap years.
Answer:
A
Step-by-step explanation:
Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!
Answer:
a.
Step-by-step explanation:
A non leap year has 365 days. February of a non leap year has 28 days.
365 - 28 = 337
There are 337 days in a non leap year that are not in February.
p(not February) = 337/365
Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)
Answer:
A and B both have an input that has multiple outputs so the answer is C and D.
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
HELP FAST 5√6 As a Whole Radical
Answer:
sqrt(150)
Step-by-step explanation:
We want to write the whole number inside the radical
5 = sqrt(5*5)
We know that sqrt(a) sqrt(b) = sqrt(ab)
5 * sqrt(6)
sqrt(5*5) * sqrt(6)
sqrt(5*5*6)
sqrt(150)
Answer:
[tex]\sqrt{150}[/tex]
Step-by-step explanation:
since the 5 is out of the sqrt root, you need to ^2 to put it back in again.
[tex]5^{2}[/tex]=25
and then in the sqrt you multiply the two variables
6* 25 = 150
so the answer is sqrt{150}
Find equation of a line passing through the pair of points. Write the equation in the form Ax+By=C (-2,2)and(-3,-9)
Answer:
11x - y = - 24Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24Hope this helps you
If you borrow $500 for 6 years at an
annual interest rate of 7%, how
much will you pay altogether?
If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Given that principal amount is $500 , years are 6 and rate of interest be 7%.
We are required to find the amount that we have to pay after 6 years if we borrow $500.
Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.
Sum after compounding is given as under:
S=P[tex](1+R)^{N}[/tex]
So we have to just put the values to find the money that we have to pay after 6 years.
S=500[tex](1+0.07)^{6}[/tex]
=500[tex](1.07)^{6}[/tex]
=500*1.5
=$750
Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.
Learn more about compound interest at https://brainly.com/question/24924853
#SPJ1
which graph shows the line y=-3x+1? graph a graph b
The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
How to determine the graph?The equation is given as:
y = - 3x + 1
The above equation is a linear function
A linear function is represented as:
y = mx + c
Where m represents the slope and c represents the y-intercept
This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
Read more about linear equations at:
https://brainly.com/question/4025726
What is the inverse of y= e^x+3 -4
Answer:
log(x + 1)inverse function y(x) = e^x + 3 - 4
In a cookie mix, we find oatmeal cookies,
raisin cookies, and butter cookies in a ratio
of 5:1:3. If a bag of the mix contains 60
butter cookies, how many cookies in total
are there?
Answer:
100 : 20 : 60 Making the total number of cookies 180
Step-by-step explanation:
Looking at the basic information given we know:
If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.
So, we have equations like this:
[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]
So, if we plug in 60 for butter cookies we will have something like this:
[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60
Solving:
[tex](5/3b) : (1/3b) : b[/tex]
[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]
Then add the amounts of together to get 180.
I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.
