What is the value of m?
1
_m =12-m
3

Answers

Answer 1
[tex]\bf \cfrac{1}{3}m=12-m\impliedby \textit{now, if we multiply both sides by }3 \\\\\\ \boxed{3}\cdot \cfrac{1}{3}m=\boxed{3}\cdot 12-\boxed{3}\cdot m\implies m=36-3m\implies 4m=36 \\\\\\ m=\cfrac{36}{4}\implies m=9[/tex]

Related Questions

What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

Answers

Refer to the diagram below.

Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ

According to the Law of Sines,
[tex] \frac{sinS}{2.4} = \frac{sin80^{o}}{3.1} \\\\sinS = (\frac{2.4}{3.1}) sin 80^{o}= 0.7624 \\\\ S = sin^{-1}0.7624 = 49.68^{o}[/tex]

Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°

Apply the Law of Sines again to obtain
[tex] \frac{x}{sinQ} = \frac{3.1}{sin80^{o}} \\\\ x = ( \frac{sin50.32^{o}}{sin80^{o}})3.1 = 2.423[/tex]

Answer: The length of RS = 2.4 (nearest tenth)

Answer:

Answer: The length of RS = 2.4 (nearest tenth)

Zoe and Hannah share tips in the ratio 3:7 Last week , Zoe received £24. how much did Hannah receive Last week?

Answers

zoe : 24/3 = 8
hannah : 7x8 = 56

hannah received £56

Answer:

£56 did  Hannah receive Last week

Step-by-step explanation:

Let the number be x.

As per the statement:

Zoe and Hannah share tips in the ratio 3:7.

Then;

Total Zoe share = 3x

Total Hannah share = 7x

It is also given that Last week , Zoe received £24.

⇒3x = 24

Divide both sides by 3 we have;

x = 8

Hannah receive Last week = 7x = 7(8) =  £56

Therefore, £56 did  Hannah receive Last week

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

Answers

Answer: 23 degrees

---------------------------------------
---------------------------------------

Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC.

The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees,

The formula we use is shown below

What is the formula for the central angle?

The central angle = 2*(inscribed angle)

The angle ABC = 2*(angle ADC)

46 = 2*(angle ADC)

46/2 = 2*(angle ADC)/2 ... divide both sides by 2

23 = angle ADC

angle ADC = 23 degrees.

Therefore, If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.

To learn more about central angle visit:

https://brainly.com/question/19758686#SPJ3

Are these all correct?

Answers

Problem 1) Line n is the line of symmetry (not line o) because we can fold the lower half to match up with the upper half. The folding line is over line n.

Problem 2) I agree. Nice work on getting the correct answer. The folding line is a vertical line through the center

Problem 3) It's hard to say for sure, but I think the top left corner is NOT reflective over any line of symmetry no matter how you rotate it. So I would uncheck that box. I agree with your other choices though. Great job with those. 

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43, point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline. Write an equation to determine the number of minutes (t)(t)left parenthesis, t, right parenthesis that Raymond was on the trampoline.

Answers

7 + 1.25t = 43.25 <== ur equation
1.25t = 43.25 - 7
1.25t = 36.25
t = 36.25 / 1.25
t = 29 <== he was jumping for 29 minutes

Answer:

Answer:M=29

subtract 43.25 by 7 because it's a one time fee. But the 1.25 is for each minute so you subtract by 7 and you get 36.25. once you have 36.25 you divide it by 1.25. You should then get 29 mins.

we have to solve for D

Answers

Since in the original equation, there is √d, to isolate the variable, we must square both sides.

(√d)²= (4h)²
d= 16h^2

Final answer: d= 16h^2
[tex] \sqrt{d} = 4h[/tex] 

      [tex]\text{Square both sides}[/tex] 

[tex]d=16h^2 [/tex]

What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)

Answers

put them in order from smallest to largest
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

median = (174 + 175 )/2 = 174.5

answer
174.5


put them in order from the smallest to the largest:
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198


 find the 2 middle numbers, in this case 174 & 175

the  median is the average of those 2 numbers:

 (174 + 175 )/2 = 174.5

 the median = 174.5

At the end of the first day, 7 weeds appear in your neighborhood park. each day, the number of weeds increases by four times. how many weeds will be in the park at the end of 14 days?

Answers

7^14=
6782230728497 to the power of 14 (days) 

Choose the list that shows these numbers in order from largest to smallest.

0.63, 0.58, 0.059, 0.06

A.) 0.63, 0.58, 0.06, 0.059
B.) 0.58, 0.63, 0.06, 0.059
C.) 0.06, 0.58, 0.059, 0.63
D.) 0.059, 0.06, 0.58, 0.63

Answers

greatest to least : 0.63 , 0.58, 0.06, 0.059

u basically start by looking at the first number to the right of the decimal...look at only that one number....now which one is biggest...it is the 6 in 0.63....now continue doing that and u will see that the 5 in 0.58 comes next...but then ur left with 2 numbers that have a 0 in that spot...so move over another number (to the right)...and compare those numbers....so the next one is the 6 in 0.06...and lastly, the 0.059.
Final answer:

The largest to smallest order of the numbers 0.63, 0.58, 0.059, and 0.06 is 0.63, 0.58, 0.06, 0.059. This corresponds to option A, which is accurate when comparing decimal place values.

Explanation:

The question asks to arrange the given decimal numbers in order from largest to smallest. To do this, compare each decimal place value one by one from left to right. Starting with the first decimal place, select the largest digit to determine the largest number. Once the largest number is identified, move on to the next largest, and so on, until all numbers are ordered.

Comparing the whole numbers: 0.63, 0.58, 0.06, 0.059, we can see:

0.63 is the largest because it has the largest value in the tenths place (6), and the next number is 3.0.58 is the next largest because the tenths place is 5 and the hundredths place is 8, which is larger than the hundredths place of 0.59.0.06 is larger than 0.059 because when comparing numbers with the same digits leading up to the last place, the number with fewer decimal places is larger.

Therefore, the correct order from largest to smallest is 0.63, 0.58, 0.06, 0.059. The correct answer is option A: 0.63, 0.58, 0.06, 0.059.

If ab=37 and xy=1/37, what is the value of the product xxbxyxa

Answers

In this case, we are simply asked to find for the value of:

xbya or abxy

 

Since we know that given values of ab and xy, therefore abxy is:

abxy = 37 * (1 / 37)

abxy = 37 / 37

abxy = 1

can someone help am not sure how to do this -2x+3y=-10
2x+y=-14
HELP

Answers

A) -2x+3y=-10
B) 2x+y=-14
Adding the equations we get
4y = -24
y = -6

Inserting y = -6 into equation B)
B) 2x -6 = -14
2x = -8
x = -4




Use the figure to answer the question that follows:

Which angles form a pair of corresponding angles?

A: Angles PRL and RSN
B: Angles PRL and QSN
C:Angles PRK and QRK
D:Angles PRK and QSN

Answers

The correct answer is A) PRL and RSN
Reason being, because corresponding means the same angle in two different places.  PRL and RSN are the same exact angles just one is higher than the other!
Hope This Helps!
The correct answer is A

Find the slope of a line through a pair of points (2,-3) and (8,4)

Answers

slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6

Identify the vertex the axis of symmetry the maximum or minimum value and the range of each parabola

Answers

hello : 
of each parabola
f(x) = a(x- h)²+k
the vertex is the point : A( h , k)
 the axis of symmetry  is the line :  x = h
the maximum or minimum value  is : f(h) = k
the range i s : R

What is767,074 rounded to the nearest hundred thousand

Answers

800,000 is the answer

What The length of AC?

Answers

If Angle C is 53° then angle A=42°

sin 42°/85=sin 85°/AC
==>AC=sin 85° *85 /sin 42°=126.54711....
A= 42 ° . 180- 138= 42. You get 138 from adding the angles given together (85+53)

1) Convert 3/5 to a decimal (show work)
2)Convert 3 8/10 to a decimal (show work)
3)Convert 5/9 to a decimal (show work)

Answers

1) To convert 3/5 to a decimal, we first multiply the numerator and denominator by 2 to obtain 6/10. One tenth is 0.1, so 6/10 is 6 times 0.1, or 0.6. 2) To convert 3 8/10 to a decimal, we see that 3 can be seen as a whole-number decimal, and 8/10 is 8 times 0.1, or 0.8. Adding these, we obtain 3.8. 3) We cannot write 5/9 as a decimal that terminates, but we can approximate 5/9 as a decimal. First, we multiply the numerator and denominator by 111, giving 555/999. Then we say that 999 is approximately 1000, so 555/999 is approximately 555/1000. Since 1/1000 is 0.001, then 555/999 is approximately 555 times 0.001, or 0.555.

Bob likes to prepare personal pizzas. He begins with a circle of dough that is 12 inches in diameter. On top of the dough, he places slices of salami. All of the slices are round and have a 4-inch diameter. If Bob doesn't overlap the slices or allow any of the slices to extend beyond the edge of the pie, what is the maximum number of salami slices he can add?

Answers

It's 7 Assuming all of the pieces are whole you can fit three across the middle of the pizza and 2 whole slices on either side 

The probability that Shania is on time for school is 1/2. Find the probability that Shania arrives on time for school for the next 5 days. Express your answer as a percent, to the nearest tenth of a percent. A. 50% B. 15.6% C. 11.4% D. 3.1%

Answers

1/2*1/2*1/2*1/2*1/2
= 1/2!
= 1/32
= 0.0313
= 3.1%
The answer is D.
Hope this helps. :)

Answer: 3.1 %

Step-by-step explanation:

Given : The probability that Shania is on time for school is [tex]\dfrac{1}{2}[/tex]

Since the each day is independent of other.

Then , the probability that Shania arrives on time for school for the next 5 days will be :_

[tex]=(\dfrac{1}{2})^5=\dfrac{1}{32}=0.03125\approx3.125\%\approx3.1\%[/tex]

Hence, the  probability that Shania arrives on time for school for the next 5 days.  = 3.1 %

−20 ≤ 59(F−32) ≤ −15

Answers

We take the value of F in the inequality by taking the inequalities in group. Let the first group be:

(1)    -20 ≤ 59(F - 32)

Then, the second group would be,
(2)     59(F - 32) ≤ - 15

Calculating for the values of F,

(1)     -20 ≤ 59F - 1888
          1888 - 20 ≤ 59F
              1868 ≤ 59F
                 F ≥ 31.66

(2)     (59)(F - 32) ≤ - 15
             59F - 1888 ≤ -15
             59F ≤ 1873
                F ≤ 31.75

The values of F are therefore,
               31.66 ≤ F ≤ 31.75

To solve the inequality −20 ≤ 59(F−32) ≤ −15, divide by 59 and then add 32 to isolate the variable F, resulting in the range 31.661°F to 31.746°F.

Inequality Solution

Let's solve the compound inequality −20 ≤ 59(F−32) ≤ −15 step by step.

First, we need to isolate the variable term by dividing all parts of the inequality by 59.
−20/59 ≤ F − 32 ≤ −15/59.This simplifies to approximately:
−0.339 ≤ F − 32 ≤ −0.254.Next, we solve for F by adding 32 to all parts of the inequality:
32 - 0.339 ≤ F ≤ 32 - 0.254,
which simplifies to approximately:
31.661 ≤ F ≤ 31.746.

Therefore, the Fahrenheit temperature F is in the range of approximately 31.661°F to 31.746°F.

write a system of linear equations with -3,9 as its solution

Answers

Let the variable of the equation be x.

Solution of the equation is given to us, hence,

x = -3               and           x = 9

x + 3 = 0          and           x - 9 = 0

Multiplying,

(x + 3)(x - 9) = x² - 9x + 3x - 27 = x² - 6x - 27

Hence, the linear equation with solution -3 and 9 is x² - 6x - 27.

Final answer:

To create a system of linear equations with the solution (-3, 9), we need to construct two equations that intersect at this point, for example, y = -3x + 18 and y = 2x + 15.

Explanation:

To write a system of linear equations with the solution (-3, 9), we can create two separate equations that intersect at this point. Using the equation provided, y = 9 + 3x, we can see that the point (-3, 9) satisfies this equation since plugging in x = -3 gives us y = 9 + 3(-3) = 9 - 9 = 0, which is incorrect. We must correct the mistake and ensure that the solution (-3, 9) satisfies both equations in our system.

A correct form of the first equation would be y = -3x + 9 (not y = 9 + 3x as provided), since plugging x = -3 yields y = -3(-3) + 9 = 9 + 9 = 18, which is also incorrect. Therefore, we need to be careful in constructing our equations.

Let's construct two new equations correctly:
First, we start with the equation y = -3x + 18, which does satisfy the condition when x = -3 and y = 9. Next, we can create a different equation with the same solution. For instance, if we want another equation, we might use the slope-intercept form, y = mx + b. We can choose a different slope (m), for example, m = 2, and find b such that when x = -3, y = 9:

y = mx + b
9 = 2(-3) + b
9 = -6 + b
b = 15

So, the second equation is y = 2x + 15. The system of linear equations with the solution (-3, 9) is:

1. y = -3x + 18
2. y = 2x + 15

The dashed-line triangle is a dilation image of the solid-lined triangle.

A graph is shown with x and y axes that extend from negative 8 to positive 8 in increments of 2.
A triangle formed by solid black line segments is shown with vertices at negative 9 comma 4, negative 9 comma negative 8, and 7 comma negative 8.
A second smaller triangle formed by dashed line segments is shown with vertices at negative 5 comma 6, negative 5 comma 2, and 0 comma 2.



Is the dilation an enlargement or a reduction? What is the scale factor of the dilation? (1 point)

reduction; one-third
enlargement; one-third
reduction; 3
enlargement; 3

Answers

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
[tex] \frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3 [/tex]

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer:   reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

In geotown, there are 210 teenagers that own a tablet.This is at least 4/5 of all teenagers that live in geotown.What is the maximum number of teenagers who live in geotown?

Answers

Let x = the number of teenagers in Geotown.

At least 4/5 of x equals 210. Therefore
(4/5)x ≥ 210
Multiply each side by 5.
4x ≥ 210*5 = 1050
x ≥ 1050/4 = 262.5

Because x ≥ 262.5,  therefore x = 263 (x must be an integer).

Answer: 263

suppose you deposit $500 into an account earning 7.8% interest compound annually. what will your balance be after 5 years?

Answers

500 + 7.8%
539 x 5
2695

The sum of two numbers is 55 and the difference is 1 . What are the numbers?

Answers

27 and 28 because their sum is 55 and 28-27=1

Jan works from 30 to 40 hours per week during the summer. she earns $12.00 per hour. her friend rachel also has a job. rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. find the domain and range of each function. compare their hourly wages and the amount they earn per week.

Answers

Jan earns between $360 and $480. While Rachel earns between $220 and $330. Jan's hourly wage is $12 and Rachel's is $11. 
Final answer:

Jan's function has a domain of [30, 40] and a range of [$360, $480]. Rachel's function has a domain of [20, 30] and a range of [$220, $330]. Jan earns $12 per hour and can earn between $360 and $480 per week, while Rachel earns $11 per hour and can earn between $220 and $330 per week.

Explanation:

The domain of Jan's function is the range of hours she works per week, which is between 30 and 40, denoted by [30, 40]. The range of Jan's function is the amount of money she earns per week, which is calculated by multiplying her hourly wage ($12) by the number of hours she works (30 to 40 hours). So, the range of Jan's function is [$360, $480].

Similarly, Rachel's function is given by r(t) = 11t, where t represents the number of hours she works per week. The domain of Rachel's function is the range of hours she works per week, which is between 20 and 30, denoted by [20, 30]. The range of Rachel's function is the amount of money she earns per week, calculated by multiplying her hourly wage ($11) by the number of hours she works (20 to 30 hours). So, the range of Rachel's function is [$220, $330].

Comparing their hourly wages, Jan earns $12 per hour while Rachel earns $11 per hour. Comparing the amount they earn per week, Jan can earn between $360 and $480 per week while Rachel can earn between $220 and $330 per week.

The longest stem on elis geranium plant is 7.24 inches. write 7.24 in word form answer

Answers

when we write 7.24 inches in a word form we can write it as seven point twenty four or seven and twenty four hundredths.
when we write digits in to a sentence that is word form of numbers.

Find four consecutive integers whose sum is 106

Answers

the sum of 106 is 100 and 10

I am a number less than 100. Two of my factors are three and five. My digits are one apart. What number am I?

Answers

factors 3 & 5

3*5 = 15

15, 30, 45, 60, 75, 90 are all the possible choices

 so the answer would be 45 since the numbers are only 1 apart

Rita's score is 13 more than 2 times milan score. if we let y represent milan's score, write an algebraic expression for rita's score.

Answers

Final answer:

Rita's score is expressed algebraically by the expression 2y + 13, where y represents Milan's score.

Explanation:

Rita's score can be expressed algebraically in terms of Milan's score. Given that y represents Milan's score, the problem statement tells us that Rita's score is 13 more than 2 times Milan's score. So, we can write Rita's score as 2y + 13. To translate this into an algebraic expression, we start with Milan's score y, multiply it by 2 to get '2 times Milan's score', and then add 13 to get '13 more than 2 times Milan's score', which results in our final expression, 2y + 13.

This expression shows us how to calculate Rita's score based on any given value for Milan's score.

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