Answer:
[tex]361\dfrac{1}{9}[/tex] tons of high steel and [tex]138\dfrac{8}{9}[/tex] tons of low steel
Step-by-step explanation:
Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.
In x tons of high grade steel there are
[tex]0.85x[/tex] tons of iron
[tex]0.15x[/tex] tons of magnese
In y tons of low grade steel there are
[tex]0.67y[/tex] tons of iron
[tex]0.33y[/tex] tons of magnese
NASA orders 500 tons of steel, so
[tex]x+y=500[/tex]
and specifies that it must be in the proportion 80% iron and 20% magnese, so
[tex]0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400[/tex]
From the first equation,
[tex]x=500-y[/tex]
Substitute it into the second equation:
[tex]0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons[/tex]
Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.
How many trails are less than 6 kilometers long or at least 24 kilometers long ?
Answer:
13 trails
Step-by-step explanation:
The histogram shows following numbers of trails:
0 - 6 km long - 5 trails;6 - 12 km long - 9 trails;12 - 18 km long - 7 trails;18 - 24 km long - 3 trails;24 - 30 km long - 4 trails;30 - 36 km long - 1 trail;36 - 42 km long - 3 trails.So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.
In total, 5 + 8 = 13 trails
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
The question focuses on Mathematics, specifically Geometry and Calculus. It requires calculating the area of geometric figures especially circles and disks in terms of π, often via the formula A=πr² or integration.
Explanation:From the question, we are required to find the area of shaded parts, which essentially associates with geometric figures and their properties in Mathematics. Specifically, this question appears to focus on areas related to circles and spheres, as it mentions calculations in terms of π, radius (r) and certain formulas like A=πr², which is the formula for the area of a circle.
When asked to express something in terms of π, it typically means leaving the answer as multiples of π, rather than using its decimal equivalent. So for instance, if we calculated the area of a circle with a radius of 3 using A=πr², we would say that the area is 9π.
Another crucial information that surfaced in the materials provided is the area calculation using integration, which involves adding up the individual areas of 'thin rings' from r=0 to r=R where R is the total radius of the disk or circle. This is an important aspect of finding areas under curves or finding areas enclosed by curves in Calculus.
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The area of the shaded regions is [tex]\(8\pi - 8\)[/tex] square centimeters.
To find the area of the shaded regions in the circle with the inscribed triangle, we'll follow these steps:
1. Calculate the Area of Sector AOC:
- The sector's central angle is 90° because triangle AOC is right-angled at C.
- The area of a sector is [tex]\( \frac{\theta}{360} \times \pi \times r^2 \)[/tex], where [tex]\( \theta \)[/tex] is the central angle and [tex]\( r \)[/tex] is the radius.
- Here, [tex]\( r = 4 \) cm and \( \theta = 90° \).[/tex]
- So, the area of sector AOC is [tex]\( \frac{90}{360} \times \pi \times 4^2 = \pi \times 4 \) cm^2.[/tex]
2. Calculate the Area of Triangle AOC:
- The area of a triangle is [tex]\( \frac{1}{2} \times \text{base} \times \text{height} \).[/tex]
- For triangle AOC, the base and height are both equal to the radius, which is 4 cm.
- So, the area of triangle AOC is [tex]\( \frac{1}{2} \times 4 \times 4 = 8 \)[/tex] cm².
3. Calculate the Area of the Shaded Segment on the Opposite Side:
- Subtract the area of triangle AOC from the area of sector AOC.
- This gives us the area of the shaded segment: [tex]\( \pi \times 4 - 8 \)[/tex] cm².
Combining both shaded areas, the total area of the shaded regions is [tex]\( \pi \times 4 + (\pi \times 4 - 8) \)[/tex] cm², which simplifies to [tex]\( 8\pi - 8 \)[/tex] cm². Therefore, the area of the shaded regions is [tex]\( 8\pi - 8 \)[/tex] cm².
which is the coefficient in the expression 31y + 7 ?
Answer: 31
Step-by-step explanation: A coefficient is a number that appears in front of a variable. So in this case, since 31 appears in front of the variable y, 31 is the coefficient.
Now, you might think that 7 is a coefficient also but it's not. The reason it's not is because it doesn't have a variable attached to it so a coefficient needs to have a variable next to it.
the ratio of the corresponding linear measures of two similar cans of cat food is 4:3. the larger can has a SA of 100 inches. find the surface area of the smaller can. round to the nearest tenth.
Answer:
56.3 in²
Step-by-step explanation:
Given 2 similar figures with linear ratio = a : b, then
area ratio = a² : b²
Here linear ratio = 4 : 3, thus
area ratio = 4² : 3² = 16 : 9
Let x be the surface area of the smaller can then by proportion
[tex]\frac{16}{100}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )
16x = 900 ( divide both sides by 16 )
x ≈ 56.3 in² ( to the nearest tenth )
The surface area of the smaller can is approximately 56.3 square inches.
The student's question involves finding the surface area of a smaller can based on its similarity ratio to a larger can. Given that the ratio of the corresponding linear measures of two similar cans is 4:3 and the larger can has a surface area of 100 square inches, we can determine the surface area of the smaller can by using the square of the ratio between their sizes. Since the ratio of their surface areas is the square of their linear dimensions ratio, we can set up the calculation as follows:
[tex](3/4)^2 = x/100,[/tex]
where x represents the surface area of the smaller can. Solving for x:
[tex](3/4)^2 = (9/16) = x/100,[/tex]
x = (9/16) * 100,
x = 56.25.
Therefore, the surface area of the smaller can is approximately 56.3 square inches when rounded to the nearest tenth.
y= -5x+6 in standard form
Answer:
5x+y=6
Step-by-step explanation:
y=-5x+6
y-(-5x)=6
y+5x=6
5x+y=6
The equation in standard form can be written as; 5x+y=6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Suppose the considered polynomial is of only one variable. Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
We have given the equation as;
y=-5x+6
Now,
y-(-5x)=6
y+5x=6
The equation in standard form can be written as;
5x+y=6
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Type the correct answer in the box
A component in a music system has a life expectancy of 2400 hours with a standard deviation of 300 hours. If an average person listens to
music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is
Reset
Ned
2019 Ementum
seserved
If an average person listens to music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is 2.3%.
In Mathematics and Statistics, the z-score of a given sample size or data set can be calculated by using the following formula:
Z-score, z = (x - μ)/σ
Where:
σ represents the standard deviation.
x represents the sample score.
μ represents the mean score.
Since an average person listens to music for 1,000 hours in a year, the total life span of the component for 3 years can be calculated as follows;
Total life span = 3 × 1000
Total life span = 3000 years.
By substituting the parameters into the z-score formula, we have the following:
Z-score, z = (3000 - 2400)/300
Z-score, z = 2.0
Based on the standardized normal distribution table, the required probability is given by:
P(X > 3000) = P(x > Z)
P(X > 3000) = 1 - P(Z < 2)
P(X > 3000) = 1 - 0.9773
Probability = 0.0227 × 100.
Probability = 2.27 ≈ 2.3%.
Which equation represents a linear function?
oy-2=-5(x - 2)
X+ 7 = -4(X + 8)
y - 3 = y(x + 4)
y + 9 = x(x - 1)
Answer:
[tex]y-2=-5(x - 2)[/tex]
Step-by-step explanation:
Given:
The equations given are:
[tex]y-2=-5(x - 2)\\X+ 7 = -4(X + 8)\\y - 3 = y(x + 4)\\y + 9 = x(x - 1)[/tex]
Now, a linear function is of the form:
[tex]y=mx+b[/tex]
Where, 'm' and 'b' are real numbers and [tex]m\ne0[/tex]
Equation 1: [tex]y-2=-5(x - 2)[/tex]
Simplifying using distributive property, we get:
[tex]y-2=-5x+10\\y=-5x+10+2\\y=-5x+12[/tex]
The above equation is of the form [tex]y=mx+b[/tex]. So, it represents a linear function.
Equation 2: [tex]X+ 7 = -4(X + 8)[/tex]
Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.
Equation 3: [tex]y - 3 = y(x + 4)[/tex]
Simplifying the above equation. This gives,
[tex]y-3=yx+4y\\y-4y-yx=3\\y(1-4-x)=3\\y(-3-x)=3\\y=\frac{3}{(-3-x)}[/tex]
This is not of the form of the linear function. So, it is also not a linear function.
Equation 4: [tex]y + 9 = x(x - 1)[/tex]
Simplifying the above equation. This gives,
[tex]y+9=x^2-x\\y=x^2-x-9[/tex]
This is not of the form of the linear function. So, it is also not a linear function.
Answer:
A
Step-by-step explanation:
on edge 2020
Determine weather the rule represents an exponential function. EASY 40 POINTS
Exponential functions are something like y = 2^x where the variable is in the exponent (ie the exponent isnt a fixed number). What is given here, y = 3x^3, is a cubic function. You can also call this a power function. Power functions are of the form a*x^b, where a & b are constants.
please help me!! what's the expression in simplest form?
Answer:
2a² - 2b - 1
Step-by-step explanation:
Given
- 5 + b + 2a² - 3b + 4 ← collect like terms
= 2a² + (b - 3b) + (- 5 + 4)
= 2a² + (- 2b) + (- 1)
= 2a² - 2b - 1
can someone help me with this problem
[tex]4b + 3 = - 9[/tex]
we have to find what b is
Answer: b= -3
Step-by-step explanation:
fifteen friend want to share 3 watermelons equally. what fraction of a watermelon will each friend get?
Answer: 3/15 or 1/5
Step-by-step explanation:
Each person will get 1/15 of each watermelon so 3/15 of watermelon that can be simplified to 1/5
Final answer:
Each of the fifteen friends will receive ⅔ of a watermelon when 3 watermelons are shared equally among them.
Explanation:
If fifteen friends want to share 3 watermelons equally, we need to divide the total number of watermelons by the number of friends to find out what fraction of a watermelon each friend will get.
To find the answer, you start with 3 watermelons and divide them by 15 friends, which is:
3 watermelons ÷ 15 friends = ⅔ of a watermelon per friend.
Thus, each friend will get ⅔ of a watermelon.
a file that is 261 megabytes is being downloaded if the downloaded is 16.6% complete how many megabytes have been downloaded
43.326 megabytes has been downloaded
Solution:
Given that a file that is 261 megabytes is being downloaded
16.6 % of download is complete
To find: megabytes that have been downloaded
From given question,
16.6 % of 261 megabytes has been downloaded
Let us find 16.6 % of 261
We know that,
a % of b can be written in fraction as [tex]\frac{a}{100} \times b[/tex]
So 16.6 % of 261 is calculated as:
[tex]16.6 \% \text{ of }261 = 16.6 \% \times 261\\\\\rightarrow \frac{16.6}{100} \times 261\\\\\rightarrow 0.166 \times 261\\\\\rightarrow 43.326[/tex]
Thus 43.326 megabytes has been downloaded
Tony made this diagram
of his vegetable garden. What is the total area?
Explain your reasoning.
Answer:
The total area of Tony's vegetable garden is 124 square feet
Step-by-step explanation:
The total area of Tony's vegetable garden is composed by three rectangles.
1st rectangle
Length = 10 feet
Width = 6 feet (14 - 8)
Area = 6 * 10 = 60 square feet
2nd and 3rd rectangles are equals
Length = 4 feet
Width = 8 feet (14 - 6)
Area = 2 * 4 * 8 = 2 * 32 = 64 square feet
Total area
Area of the three rectangles
60 + 64 = 124 square feet
The total area of the vegetable garden is 124 ft.
A rectangle is a quadrilateral in which opposite sides are parallel and congruent to each other.
The area of a rectangle is the product of its length and width. It is given by:
Area = length * width
Area of the vegetable garden = (8 ft * 4 ft) + (8 ft * 4 ft) + (10 ft * (14 - 8)ft)
Area of the vegetable garden = 32 ft + 32 ft + 60 ft = 124 ft.
Therefore the total area of the vegetable garden is 124 ft.
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If f(x) = x2 + x and g(x) = x - 3, find f(g(7)).
53
32
28
20
Answer:
Step-by-step explanation:
If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7). That means that we put 7 in for x in the g function and come up with a solution to that first.
If g(x) = x - 3, then g(7) = 7 - 3 which is 4. Now take that 4 and put it in for x in the f function:
f(4) = [tex](4)^2+4[/tex] which is 16 + 4 which is 20
Therefore, f(g(7)) = 20
Answer:
If we are looking for the composition of f(g(7)), we will start at the innermost part of the problem, which is to evaluate g(7). That means that we put 7 in for x in the g function and come up with a solution to that first.
If g(x) = x - 3, then g(7) = 7 - 3 which is 4. Now take that 4 and put it in for x in the f function:
f(4) = which is 16 + 4 which is 20
Therefore, f(g(7)) = 20
Step-by-step explanation:
In a figure, OB is the radius of a big semicircle and XB is the radius of the small semicircle. Given that OX = 14 cm, Calculate the area and the perimeter of the shaded region in the figure.
(Take π = 22/7).
Answer:
perimeter of the shaded region = 88 +44+28 =160 cm
Step-by-step explanation:
perimeter of shaded region = length AO + arc OB + arc AB
length AO = radius of bigger circle
radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm
therefore AO = 28 cm
length of arc oB= half of circumference of smaller circle = [tex]\pi[/tex]×14 = 44 cm
length of arc ab = half of circumference of bigger circle = [tex]\pi[/tex]×28 =[tex]\frac{22}{7}[/tex]×28= 88
therefore perimeter of the shaded region = 88 +44+28 =160 cm
area of the shaded region = half of area of bigger circle - half of area of smaller circle
=[tex]\frac{1}{2} \pi 28^{2} -\frac{1}{2} \pi 14^{2}[/tex]
=[tex]\frac{\pi }{2} (28^{2} -14^{2} )[/tex]
solving we gen area of shaded region = 924
100 POINTS! PLEASE HELP!
What is the equation for the line?
Enter your answer in the box.
Answer:
[tex]y=-4x+5[/tex]
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{13-5}{-2-0}[/tex]
[tex]m=-\frac{8}{2}[/tex]
[tex]m=-4[/tex]
Step 2: Use point slope form
[tex](y-5) = -4(x-0)[/tex]
[tex]y-5 + 5=-4x + 5[/tex]
[tex]y=-4x+5[/tex]
Answer: [tex]y=-4x+5[/tex]
y=-4x+5
Step-by-step explanation:
Step 1: Find the slope
m=\frac{y_2-y_1}{x_2-x_1}
m=\frac{13-5}{-2-0}
m=-\frac{8}{2}
m=-4
Step 2: Use point slope form
(y-5) = -4(x-0)
y-5 + 5=-4x + 5
y=-4x+5
What is x if 3x − 1 divided 4 = −5?
Answer:
x=-19/3
Step-by-step explanation:
(3x-1)/4=-5
3x-1=-5*4
3x-1=-20
3x=-20+1
3x=-19
x=-19/3
Answer:
Step-by-step explanation:
3x-1/4=-5
3x-0.25=-5
3x=-5.25
x=-1.75
On a school trip the ratio of the number of teachers to number of students is1:15.the ratio of the number of male students to the number of female students is 7:5 work out what percentage of all the people on the trip are female students
Answer:
Step-by-step explanation:
The percentage is 59 percent males 41 percent females
How can you add 3/10+2/5
Answer:
7/10
Step-by-step explanation:
3/10+2/5=3/10+4/10=7/10
Answer: 7/10
Step-by-step explanation: To add these two fractions together, we start by finding their common denominator.
The common denominator for 10 and 5 will be the least common multiple of 10 and 5 which is 10.
Since 10 already has a 10 in the denominator, it stays the same.
We multiply top and bottom of our second fraction by 2 and we get 4/10.
Now we are adding like fractions so we simply add across the numerators and keep the same denominator.
So, 3/10 + 4/10 = 7/10.
Therefore, 3/10 + 2/5 = 7/10.
100 points and brainiest
Which of the following is true?
|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6
Answer:
l-5l < l-6l
Step-by-step explanation:
the absolute will remove the negative of both numbers
Answer: |−5| < |−6|
Step-by-step explanation:
The function of the absolute symbol is to cancel out negative , considering the values one after the other.
/ - 6/ < 5 is the same as 6 < 5 ....... this is not true
(ii) /-6/ < /5/ is the same as 6 < 5 ..... this is not true
(iii) /-5/ < / -6/ is the same as 5 < 6 ...... this is true
(iv) /-5/ < -6 is the same as 5 < -6 ..... this is not true
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex] , where
a is the first termd is the common difference between consecutive termsThe third term means n = 3
∵ [tex]a_3=a+(3-1)d[/tex]
∴ [tex]a_3=a+2d[/tex]
∵ [tex]a_3[/tex] = 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ [tex]a_5=a+(5-1)d[/tex]
∴ [tex]a_5=a+4d[/tex]
∵ [tex]a_5[/tex] = 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ [tex]a_24=-9+(24-1)(7)[/tex]
∴ [tex]a_24=-9+(23)(7)[/tex]
∴ [tex]a_24=-9+161[/tex]
∴ [tex]a_24=152[/tex]
The 24th term is 152
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Which of the following is NOT equivalent to the other three?
A
0.15
B
1520
C
75%
D
0.75
i need this for my finals ill give you brainlest
Answer:
The answer is A I just too the test
Step-by-step explanation:
Answer:
A) 0.15
Step-by-step explanation:
Because 15/20=3/4=75/100=75%=0.75.
find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4
Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 4 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 3) into the partial equation
3 = 6 + c ⇒ c = 3 - 6 = - 3
y = 2x - 3 ← equation of perpendicular line
The equation of the line passing through (3, 3) and perpendicular to y = -1/2x - 4, is y = 2x - 3.
To find the equation of a straight line passing through the point (3, 3) which is perpendicular to the line y = -1/2x - 4, follow these steps:
Determine the slope of the given line. The slope of y = -1/2x - 4 is -1/2.Find the slope of the perpendicular line. The slope of the perpendicular line is the negative reciprocal of -1/2, which is 2.Use the point-slope form of the equation of a line, y - y₁ = m(x - x₁), where (x₁, y₁) is the point (3, 3) and m is the slope (2).Substitute the values 2 for m and (3, 3) for (x₁, y₁): y - 3 = 2(x - 3).Simplify the equation: y - 3 = 2x - 6.Rewrite it in slope-intercept form: y = 2x - 3.Therefore, the equation of the line passing through the point (3, 3) and perpendicular to the line y = -1/2x - 4 is y = 2x - 3.
р
с
о
1.
Convert the following equation to standard form: y = -3x + 2
— у = 2
3х + y = 2
о 3х + y = -2
о — 3 — у. = 2
ОО
в
9514 1404 393
Answer:
3x +y = 2
Step-by-step explanation:
Standard form is ...
ax +by = c
where a, b, c are mutually prime integers and the leading coefficient is positive.
We can put the equation in this form by adding 3x to both sides.
y = -3x +2
3x +y = 2 . . . . . add 3x to both sides. This is standard form.
How many solutions are there to the system of equations?
StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout
no solutions
one solution
two solutions
an infinite number of solutions
Answer:
The system has no solutions
Step-by-step explanation:
we have
[tex]4x-5y=5[/tex] -----> equation A
[tex]-0.08x+0.10y=0.10[/tex] ----> equation B
Isolate the variable y in the equation A
[tex]5y=4x-5[/tex]
[tex]y=\frac{4}{5}x-1[/tex]
[tex]y=0.8x-1[/tex] -----> equation A'
Isolate the variable y in equation B
[tex]0.10y=0.08x+0.10[/tex]
[tex]y=\frac{0.08}{0.10}x+1[/tex]
[tex]y=0.8x+1[/tex] ------> equation B'
Compare the equations A' and B'
The lines have the same slope but different y-intercept
Are parallel lines
therefore
The system has no solutions
Answer:
A. no solutions
Step-by-step explanation:
100% on edge
Roger drew one card from a standard deck of 52 cards. What is the probability that the card Roger drew is not a seven?
Answer: 12/13
Step-by-step explanation:
In a deck of cards there are 4 of each number. Therefore there are 4 sevens in the deck. 4/52 are 7, but you want the probability of getting a card that IS NOT 7. That means there are 48 cards that aren’t a 7. 48/52 is the probability. But you can simplify this by finding a number that divides evenly into both, which in this case is 4. This simplifies to 12/13.
answer and explanation please!
The value of x is 58°
Step-by-step explanation:
we can see in the figure that the triangle formed is a right-angled triangle
In a right-angled triangle, one angle is always 90 degrees and the other two angles are complementary i.e. their sum is 90 degrees
So,
Using the axiom
[tex]32 + x = 90\\x = 90-32\\x = 58[/tex]
Hence,
The value of x is 58°
Keywords: Triangles, angles
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what is an equation in point-slope form of the line that passes through (–3 –1) and has a slope of 2
Answer:
y+1=2(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=2(x-(-3))
y+1=2(x+3)
Find 2x^2y if x=-1 and y=3
Answer:
6
Step-by-step explanation:
(-1)^2=(-1)(-1)=1
2(1)(3)=2*3=6
2x*2y
Replace x with -1 and y with 3
2(-1) * 2(3)
2*-1 = -2
2*3=6
Now multiply -2 with 6 and it should be -12.
if (m,2m+1) is a solution of the equation 4x +2y=8 then the value of m is
Answer:
m = 0.75
Step-by-step explanation:
Since (m, 2m + 1 ) is a solution of the equation then substituting the values into the equation will make it true, that is
substitute x = m and y = 2m + 1 into the equation, thus
4m + 2(2m + 1) = 8 ← distribute and simplify left side
4m + 4m + 2 = 8
8m + 2 = 8 ( subtract 2 from both sides )
8m = 6 ( divide both sides by 8 )
m = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75