Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answers
m-6(n+2)=-8
m-6n-12=-8
Add 12 to both sides to get
m-6n= 4
Next solve for m.
Add 6n to both sides
m=6n+4
Plug that into the second equation for m.
6n+(6n+4)=16
Combine like terms. 6n+6n is 12n so...
12n+4=16
Solve for n by subtracting 4 to each side
12n=16-4
12n=12
n=1
Plug n=1 into the m equation or any of the two original equations to solve for m...
6(1)+m=16
6+m=16
m=10
Since you solved for m earlier you could also do it this way:
m=6(1)+4
m=6+4
m=10
Thus your two solutions are m=10 and n=1
Hope this helps!!!!!
Answer:
M=10
n=1
Happy learning,
Applepi101
Related Questions
HELP!!!! Identify the volume of the composite figure rounded to the nearest tenth.
Answers
Answer:
4618.1 ft³
Step-by-step explanation:
Volume of the cone:
[tex]V_{cone} = \frac13 \pi r^2 h[/tex]
[tex]V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi[/tex]
Volume of the cilinder:
[tex]V_{cilinder} = \pi r^2 h[/tex]
[tex]V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi[/tex]
Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³
Is number one congruent? If it is how?
Answers
Answer:
Yes, Triangles in (1) are congruent
Step-by-step explanation:
Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.
1.) They must posses similar shape
2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)
Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.
Therefore, the two triangles are congruent.
The equation a=180(n-2)/n represent the angle measures,a in a regular n-sided polygon. When the equation is Solved for n,n is equal to a fraction with a denominator of a-180. What is the numerator of the fraction.
Answers
Answer:
The
numerator is 360
Step-by-step explanation:
What we need to do here is make n the subject of the formula;
a = 180(n-2)/n
an = 180n-360
180n - an = 360
n(180-a) = 360
n = 360/(180-a)
What is the angle relationship shown below?
A)Corresponding
B)Same side interior
C)Alternate interior
D)Alternate exterior
E)Vertical
Answers
Answer:
The relationship between the angles is alternate exterior angles.
Step-by-step explanation:
Exterior means outside.
Alternate means every other or in this case across form each other.
These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.
Express the ratio 700g to 1.75kg in its lowest terms.
Give your answer in the form m:n where m and n are integers
Answers
Answer:
2 : 5
Step-by-step explanation:
700 g : 1.75 kg
Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g
700 g : 1.75 kg × 1000
700 g : 1750 g
÷ 50 ÷50
14 : 35
÷7 ÷7
2 : 5
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answers
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?
Answers
Answer:
I will answer in English.
In each group, A and B, we have 24 students.
a) The number of girls in A is twice the number of boys in A.
Then, if G is the number of girls and B the number of boys.
G + B = 24
G = 2B
Now we can replace the second equation into the first one:
2B + B = 24
3B = 24
B = 24/3 = 8
G = 24 - 8 = 16
We have 16 girls in class A.
b) In B we have 4 more girls than boys, then:
G = B + 4
G + B = 24
we can replace the first equation into the second one:
B + (B + 4) = 24
2*B = 24 - 4 = 20
B= 20/2 = 10
We have 10 boys in class B:
Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]
A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]
B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]
C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]
Answers
The answer is C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
what you plug in for calculator
\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answers
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answers
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
The probability of getting a number divisible by 3 is 3/10 using a game spinner.
The denominator of that probability is:
Answers
Answer:
B
Step-by-step explanation:
the denominator should be the total amount of outcomes.
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Answers
Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].
Step-by-step explanation:
To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].
Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].
Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].
Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].
So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].
Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].
This is our final equation.
What steps would you take to determine if these
figures are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2
Multiply the vertices of polygon ABCD by <
2
D"
C"
Translate the intermediate image 4 units down.
Perform two different dilations.
-4
-2
4
Reflect the intermediate image.
Answers
Answer:
2nd and 5th answer options
Step-by-step explanation:
Multiply the vertices of polygon ABCD by One-half.
Reflect the intermediate image.
Help me ASAP
Estimate the measure of ∠DBC.
Answers
Answer:
135°
Step-by-step explanation:
Considering it's estimation, there isn't too much of an explanation, but here you go anyways.
A straight angle is equal to 180°. DBE is a straight angle.
DBC and CBE added together appear to be 180° (supplementary).
We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°
hope this helps and give brainliest if I am epic blah blah blah ;)
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answers
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
Help me answer this
Answers
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Answers
Step-by-step explanation:
work is shown and pictured
Which of the following are solutions to |x + 3|=4x-7 check all that apply
Answers
Answer:
3.333333
Step-by-step explanation:
4x-x=3+7
3x=10
x=3.33333
Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?
Answers
Answer:
4031.5
Step-by-step explanation:
I really need help with this I don't understand it.
Answers
Answer:
(10x + 37) and (15x+7) are vertical angles which are always equal
10x + 37 = 15x +7
5x = 30
x = 6
The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees. All 4 of the angles add up to 360 degrees.
Therefore, 360 = 2z + 97 + 97
2z = 166
z = 83
Step-by-step explanation:
-12.40 in simplest from
Answers
Answer: [tex]- \frac{62}{5}[/tex]
Convert the decimal number into a fraction
Multiply by 10
[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]
[tex]- \frac{124}{10}[/tex]
Divide the fraction by 2
[tex]- \frac{62}{5}[/tex]
Looking at the histogram, where would the median fall?
Answers
Answer:
The median would be found in the middle of the histogram
Step-by-step explanation:
It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.
Hope this helps.
Answer:
70-79
Step-by-step explanation:
I took the test :)
Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?
Answers
Answer:
9/64Step-by-step explanation:
This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.
Given data
2 purple lipsticks,
3 red lipsticks and
3 pink lipsticks
The sample space s=(2,3,3)
The sample size= 8
1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]
2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]
probability of taking out a purple lipstick followed by the red lipstick is
[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]
Write an integer that represents this scenario:
18-point gain
Answers
Answer:
+18
Step-by-step explanation:
A gain is a positive number
+18
Answer:
+18
Step-by-step explanation:
Neg = Drop
Pos = Gain
Gain so +
+18
what does the symbol mean on the image?
Answers
Answer:
Step-by-step explanation:
a) U -----> union
Union of two sets is the set of all distinct elements that are in A or B
A U B = {8 , 14 , 17 , 16, 9 , 15}
∩ ----------> intersection
Intersection of two sets is the set of all distinct elements that are in both A and B
A ∩ B = {14,17}
b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}
P(A') = 7/10
I will mark you brainliest! How much money did Nikki orginally invest?
Answers
Answer:D
Step-by-step explanation:
PLZ ANSWER THIS ASAP
Answers
Answer:
C. Hollow cone frustum
Step-by-step explanation:
Revolved it in my head, because the line isn't touching the triangle it will be hollow, because the triangle has a slope the shape will taper.
The revenue generated by the band is given by the expression 50x+150
Select all of the ordered pairs that are solutions to the inequality:
50x + 150y > 1500
(1, 10)
(10, 1)
(0, 10)
(40, 0)
Answers
Answer:
(1, 10) and (40, 0)
Step-by-step explanation:
Given expression 50x+150
inequality is
50x + 150y > 1500
it means that if we plug value of x and y from given option in 50x+150 then it should be greater than 1500.
lets check for all the option
(1,10)
50*1 + 150*10 = 50+1500 = 1550
Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given
(10, 1)
50*10 + 150*1 = 500+ 150 = 650
Since , 650 is less than 1500, (10,1) is not the solution for the inequality given
(0, 10)
50*0 + 150*10 = 0 + 1500 = 1500
Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given
(40, 0)
50*40 + 150*0 = 2000 + 0 = 2000
Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.
Thus, from the given option there are two solution for 50x + 150y > 1500
(1, 10) and (40, 0)
(1, 10) (40, 0) as the person above/below stated.
Factor out the GCF from the following polynomials.
1) 45m^5-25m^4-20m^2-35m=? 2) 35x^2-15x^3+5x^4=? 3) 6ab^6-14a^2b^4+2a^5b^3=?
Answers
Answer:
Step-by-step explanation:
i hope
the the answer is 2ab3(a4+3b3−7ab)
hope it helps.
sorry if it wrong
-Delilah
Write in standard form an equation for the line with slope 1/3 through
the point (2,-2).
Answers
Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.