Answer:
-2
Step-by-step explanation:
8x+7=-9
8x=-9-7
8x=-16
x=-16/8
x=-2
What is the sum of the EXTERIOR angles of an octagon?
Answer:
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.
Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.
And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.
This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.
The sum of the exterior angles of any polygon, including an octagon, is always 360 degrees. This is true regardless of the polygon's number of sides, because when one traces around the polygon, the point will have made one full revolution, or 360 degrees.
Explanation:
In mathematics, the sum of the exterior angles of any polygon, not just an octagon, is always 360 degrees. This applies regardless of the number of sides the polygon has. The concept comes from observing how a point moves as one traces around the polygon: during the complete circuit, it will have made exactly one full revolution, which is 360 degrees in total. Just as a circle consists of 360 degrees, this concept applies to polygons and their exterior angles as well.
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What's an equation for 12 less than a number x is 19
Final answer:
Explaining how to create an equation for a specific scenario where 12 is subtracted from a certain number to equal 19.
Explanation:
An equation for 12 less than a number x is 19:
Define the variable: Let x be the number.
Set up the equation: x - 12 = 19.
Solve for x: x = 19 + 12 = 31.
(SAT Prep) Find the value of x in each of the following exercises:
QUICKLY PLEASE JIMGRANT1 IF YOU WOULD PLEASE HELP.
Answer:
x=120°
Step-by-step explanation:
Let us draw a third horizontal line through x, parallel to the two parallel lines.
This line divides angle X into A and B as shown.
By alternate interior angle theorem, angle B=50°
and
angle A=70°
We know that: A+B=x
Therefore x=70°+50°=120°
Answer:
x=120 degrees
Step-by-step explanation:
1. 70+50=120
I get it its simple but its correct i do RSM
12 ones 1 tens and 7 hundreds
Answer: 722
Step-by-step explanation:
Add 700, 10, and 12. Your answer added altogether is 722.
What is the solution to the inequality 12x < 252
Answer:
x < 21
Step-by-step explanation:
Given
12x < 252 ( divide both sides by 12 )
x < 21
which equation represents grants path?
A. y=2-4x
B. y=4-x/2
C. y=6-x/4
D. y=8-2x
Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
Answer:
B)
Step-by-step explanation:
#5 Find the unit rate of the
situation below:
You can drive 80 miles on 5
gallons of gas.
A system of equations is shown below: 3x − y = 2 x + y = 6 The x-coordinate of the solution to this system of equations is _____.
Answer:
Therefore the x-coordinate of the solution to this system is 2.4.
Step-by-step explanation:
Given system of equation is
3x-y=6............(1)
and 2x+y=6...........(2)
Adding equation (1) and (2)
3x -y+2x-y=6+6
⇔5x =12
[tex]\Leftrightarrow x=\frac{12}{5}[/tex]
⇔x = 2.4
Putting the value of x in equation (1)
3×2.4 - y =6
⇔7.2 -y = 6
⇔y = 7.2-6
⇔y=1.2
Therefore the x-coordinate of the solution to this system is 2.4.
Step-by-step explanation:
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 20 if the buyer gets an extended warranty. If Gi sells 18 televisions with extended warranties, he earns $ 1 ,260. How much is the fixed amount Gi earns for each television? PLZZ HELP :)
Answer:
$50
Step-by-step explanation:
Simple math
Extended warranty don’t count so gotta take that out that’s be 20x18=360 1260-360=900 now divide 18 tvs from that and u get 900/18=50
To determine the fixed amount Gi earns for each television, a simple algebraic equation is set up and solved to find that he earns $ 50 per television without the extended warranty.
Explanation:To solve for the fixed amount Gi earns for each television without the extended warranty, we can set up an equation.
Let's call the fixed amount $F. Each television with an extended warranty earns Gi an additional $ 20, so for each of those televisions, he earns $F + $20. If he sells 18 televisions with extended warranties,
the total amount he earns can be represented by 18($F + $ 20), which equals $ 1,260 according to the question.
We can create the following equation to find the fixed amount $F:
18($F + $ 20) = $ 1,260
To solve for $F, divide both sides of the equation by 18:
$F + $ 20 = $ 70
Then, subtract $ 20 from both sides to isolate $F:
$F = $ 50
So, the fixed amount Gi earns for each television is $ 50.
Which sequence of transformations confirms congruence by mapping shape I onto shape II?
A. a reflection across the x-axis and then a translation 15 units left
B. a 90° clockwise rotation about the origin and then a translation 25 units up
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left
D. a 180° rotation about the origin and then a translation 10 units right
Answer:
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left.
Step-by-step explanation:
See the diagram attached to the question.
We have to select the sequence of transformations confirms congruence by mapping the shape I onto shape II.
The correct option is Option C.
C. a 90° counterclockwise rotation about the origin and then a translation 10 units left. (Answer)
An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?
Answer:
The percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
Step-by-step explanation:
i.) the apartment complex has a total of 175 units.
ii.) 154 units are occupied.
iii.) therefore the number of unoccupied units is = 175 - 154 = 21 units.
iv.) the percent of the apartment that is unoccupied = (21/ 175) [tex]\times[/tex] 100 = 12%
3/8 or 11/12 which one is greater
Answer:11/12
Step-by-step explanation:
2x-3y=-11
2x+y=9
What is the answer for this substitution method
Answer:
(-4,17)
Step-by-step explanation:
2x-3y=-11
2x+y=9
solve the equation
x=-4
2x+y=9
substitute the value of x into an equation
2×(-4)+y=9
solve the equation
y=17
A possible solution is
(-4,17)
check the solution
2×(-4)-3=-11
2×(-4)+17=9
simplify
-11=-11
9=9
the order pair is a solution
answer is (-4,17)
To solve the given system using the substitution method, solve the second equation for y, substitute into the first equation, and solve for x. Substituting x back into the expression for y gives the solution x = 2 and y = 5.
Explanation:To solve the system of equations using the substitution method, we have to express one variable in terms of another from one of the equations and then substitute it into the other equation. For the given system of equations:
2x - 3y = -112x + y = 9First, we solve the second equation for y:
y = 9 - 2x
Now we substitute this expression for y into the first equation:
2x - 3(9 - 2x) = -11
2x - 27 + 6x = -11
8x - 27 = -11
8x = 16
x = 2
After finding x, we can substitute x back into y = 9 - 2x to find the value of y:
y = 9 - 2(2)
y = 9 - 4
y = 5
The solution to the system of equations is x = 2 and y = 5.
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Given this function: f ( x )=−2cos(4 πx ) Find the following:
Period = Equation of the mideline:
Maximum = Minimum =
Answer:
Period =½
Equation of midline, y=0
Maximum =2
Minimum=-2
Step-by-step explanation:
The given function is
[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]
The period is given by:
[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]
The equation of the midline is y=0 since there is no vertical shift
The amplitude of this function is 2 so the range is -2≤y≤2.
Hence the maximum value is 2 and minimum value is -2
1. 72% of the students in Math 6 at AZVA are currently passing mastering their lessons. If 324 students are currently mastering their math lessons, how many students are in Math 6?
a) Use a percent equation OR set up a proportion that you will use to solve the problem.
Percent equation
a) Solve the problem. Show your work. 0.72x = 324 x = 324 / 0.72 x = 450 students
2. 2. A bag of dog food weighs 20 lb. 15% of the weight is oats.
a) Set up an equation OR proportion to find the weight of the oats in the dog food.
b) What is the weight of the oats in the dog food? Show your work.
3. Some students were asked what kinds of animals they have at home. The results are below:
(a) List the animals in order of popularity from most popular to least popular.
(b) I estimated that 250 students were interviewed. Based on my estimate, how many students have an “other” pet? Show your work.
(c) If 75 students have cats, was my estimate of 250 students correct? If not, what is the actual number of students interviewed? Explain.
THE CHART IS FOR NUMBER THREE RIGHT AFTER IT SAYS BELOW. IF YOU PUT ANY COMMENT THAT DOESN'T ANSWER MY QUESTION I WILL DELETE THE ANSWER AND TAKE AWAY THE POINTS I GAVE YOU . IF YOU ANSWER RIGHT I WILL GIVE YOU 109 POINTS I WILL ALSO MARK BRAINIEST AND PUT THANKS OVER UR NAME
Answer:
1. a. 72/100 = 324/x
72x = 32,400
b. 450 students are in Math 6
2. a. o = 3b
b. o = 3 pounds
3. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. 20 students
c. If 75 students have cats, the estimate of 250 students isn't correct.
The actual number of students interviewed is 375.
Step-by-step explanation:
1. a. Let's use the following equation to solve the question:
x = Students that are in Math 6
72/100 = 324/x
72 * x = 324 * 100
72x = 32,400
b. Let's solve the equation, as follows:
x = 32,400/72
x = 450
450 students are in Math 6
2. a. The equation is:
o = 0.15 *20b
o = 3b
where, o = weight of oats in pounds and b = number of dog food bags
b. Let's find out the weight of the oats in one dog food bag, using our equation:
o = 0.15 *20b
o = 0.15 *20 * 1
o = 3 pounds
3. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. If 250 students were interviewed, the 8% who answered "other" are:
8% of 250 = 0.08 * 250 = 20 students
c. If 75 students have cats, the estimate of 250 students isn't correct.
The 20% of 250 is 50, not 75.
0.2 * 250 = 50
The actual number of students interviewed is:
x = Actual number of students interviewed
75/x = 20/100
20x = 7,500
x = 7,500/20
x = 375
The actual number of students interviewed is 375.
Stephanie works as a waitress and earns $4.50 an hour. Stephanie's last paycheck was $150. She earns $60 in tips in addition to her hourly pay. Write an equation the represents this situation. How many hours did Stephanie work? Paragraph Please!!!!!!!!!!!
Stephanie worked for 33 hours 20 minutes.
Explanation:
Step 1; Stephanie works and earns $4.50 an hour. Her last paycheck was for $150. So to find the number of hours she has worked we divide the total money earned by the money she earns every hour.
Total hours worked = Total money earned / Money earned for an hour
= $150 / $4.50 = 33.33 hours.
Step 2; We need to convert the 33.33 hours into hours and minutes.
We multiply the 0.33 hours with 60 to convert it into minutes. 0.33 × 60 = 20 minutes. So Stephanie worked for 33 hours and 20 minutes to get her last paycheck.
Answer:
20 hours
Step-by-step explanation:
She receives $60 regardless of the number of hours she works for. Per hour, she earns $4.50. In t hours, she earns:
60 + 4.50t
For some t, the total is $150
150 = 60 + 4.50t
90 = 4.50t
t = 20
what's the answer for 13x-37+2x+13
Answer:
11x+50
Step-by-step explanation:
Answer:
15x - 24
Step-by-step explanation:
Find the slope of the line. y=6
Answer:
slope: 0
Step-by-step explanation:
y=6
no matter what x is, y is always going to equal 6
Factorise 3x^2+13x-10
Answer: (3x-2)(x+5)
Hope this helps.
The correct answer for the factorization of [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
Given expression:
[tex]3x^{2} +13x -10[/tex]
a: The coefficient of [tex]x^{2}[/tex]
b: The coefficient of linear term variable.
c: The constant term.
In given question:
a= [tex]3x^{2}[/tex] , b =[tex]13x[/tex] , c = [tex]-10[/tex]
To factorize,
Split the middle term:
Find two numbers that multiply to ac (product of the coefficients of [tex]x^{2}[/tex] and the constant term) and add up to b (coefficient of [tex]x[/tex]).
ac = [tex]3*-10 = -30[/tex]
b = [tex]13[/tex]
The two numbers are:
[tex]15[/tex] and [tex]-2[/tex] because [tex]15 * -2[/tex] = [tex]-30[/tex] and [tex]15+(-2) = 13[/tex].
Rewrite the middle term using the two numbers found:
[tex]3x^{2} +15x-2x -10[/tex]
Simplify:
[tex]3x(x^{} + 5x)-2(x+5)[/tex]
[tex](x+5)(3x-2)[/tex]
The factored term of equation [tex]3x^{2} +13x -10[/tex] is [tex](3x-2)(x+5)[/tex].
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Colton takes out a $16,000 student loan to pay his expenses while he is in college. After graduation, he will begin making payments of $103.09 per month for the next 25 years to pay off the loan. How much will Colton end up paying for the loan than the original value of $16,000
Add parentheses to make this 15-6-3=12
Answer:
15-(6-3) = 12
Step-by-step explanation:
15 - (6-3) =
Solve inside the parenthesis
15-3=12
Can someone please help me with this 7th grade math homework
Answer:
Step-by-step explanation:
i honestly dont even knw but i hope u get it right
PLZZ HELP Which expression is the factored form of −1.5w+7.5 ?
−1.5(w+5)
1.5(5+w)
1.5(w−5)
−1.5(w−5)
The right answer is Option 4.
Step-by-step explanation:
Given expression is;
-1.5w+7.5
To factorize this expression, we will first take -1.5 common to make w positive.
[tex]-1.5(w-5)[/tex]
Because 5 multiplied by 7.5 divided by -1.5 is -5.
Therefore;
The expression is factored form is -1.5(w-5).
The right answer is Option 4.
Keywords: subtraction, addition
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The factored form of the expression −1.5w+7.5 is −1.5(w-5), since −1.5 is the common factor for both terms in the expression.
Explanation:The factored form of the expression −1.5w+7.5 can be found by factoring out a common factor. The common factor in this expression is −1.5, as both terms in the expression can be divided by −1.5.
Factoring out −1.5, we get:
−1.5w + 7.5
= −1.5 (w) + −1.5 (-5)
= −1.5 (w - 5)
Therefore, the factored form of −1.5w+7.5 is −1.5(w−5).
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
1
-1
3/5
-5/3
Answer:
-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-1 - 4)/(2 + 3) = -5/5 = -1
answer is -1
Please answer quickly
Answer:
72 cubic ft
Step-by-step explanation:
To find volume you multiply length × width × height
Length is 4, width is 6 and height is 3
4×6×3= 72
Answer:
72 cubic ft
Step-by-step explanation:
Use the formula v= lxwxh
1. Write 6x4x3
2. 6x4=24
3. 24x3=72
***or***
1. 3x4=12
2. 12x6=72
Either way both equal 72 cubic ft
Plzzz show your work to this problem
Answer:
answer is attached in the image below
The number −6 is 2 more than an unknown number. Find the unknown number.
Answer:
-8
Step-by-step explanation:
if its 2 more then [tex]-6-2=-8[/tex]
so if you think the opposite negative 8 plus 2 is -6
a car is traveling at a speed of 60 miles per hour. Represent this situation with an equation. Define d as the distance the car has traveled and t as the number of hours it has traveled
A. d = 60t
B. D = + t
C. T = 60 + d
D. T = 60d
Answer:
d=60t
Step-by-step explanation:
Use the equation speed = distance / time
To get distance you do speed X time
D =60t shows that
The distance traveled = 60t.
What is meant by distance?Distance exists defined to be the magnitude or extent of displacement between two positions. Distance traveled exists the entire length of the path traveled between two positions. Distance traveled exists not a vector.
The independent variable exists as t (hours) and the dependent variable exists as d (distance). The total distance (d) depends on the number of hours (t). As the hours increase, the distance will rise. The distance relies on the amount of time traveling.
Speed = distance / time
Therefore, Distance = speed [tex]*[/tex] time
Distance = 60t
Therefore, the correct answer is option A. d = 60t.
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Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)
n(AxB) = 25
Step-by-step explanation:
AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.
Given
A = {a,b,c,d,e}
B = {1,2,3,4,5}
The number of elements for Cartesian product of two sets is determined by:
[tex]n(AxB) = n(A) * n(B)[/tex]
Here
[tex]n(A) = 5\\n(B) = 5[/tex]
So,
[tex]n(AxB) = 5*5 = 25[/tex]
Hence,
n(AxB) = 25
Keywords: Sets, Cartesian Product
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The value of n(AxB) is 25
Set theoryGiven the following sets
A= {a,b,c,d,e} and let B= {1,2,3,4,5}, we are to determine n(AxB)
n(A) = 5 (number of elements in the set)
n(B) = 5
Get the cardinality of n(AxB)
n(AxB) = n(A) * n(B)n(AxB) = 5 * 5n(AxB) = 25Hence the value of n(AxB) is 25
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If a number is a multiple of 3, it is a multiple of 12.
Step-by-step explanation:
The numbers which are multipe of 3:
3, 6, 9, 12, 15, 18, 21, 24, ......
The numbers which are multipe of 12:
12, 24, 36, 48, ......
The number is multiple of 12 is also multiple of 3 but the number is multiple of 3 the number may be multiple of 12 or may not be multople of 12.
Thus, If a number is a multiple of 3, it is not necessary to a multiple of 12.