Answer:
m = -36
Step-by-step explanation:
Solve for m:
m/4 - 3 = m/2 + 6
Hint: | Put the fractions in m/4 - 3 over a common denominator.
Put each term in m/4 - 3 over the common denominator 4: m/4 - 3 = m/4 - 12/4:
m/4 - 12/4 = m/2 + 6
Hint: | Combine m/4 - 12/4 into a single fraction.
m/4 - 12/4 = (m - 12)/4:
(m - 12)/4 = m/2 + 6
Hint: | Put the fractions in m/2 + 6 over a common denominator.
Put each term in m/2 + 6 over the common denominator 2: m/2 + 6 = m/2 + 12/2:
(m - 12)/4 = m/2 + 12/2
Hint: | Combine m/2 + 12/2 into a single fraction.
m/2 + 12/2 = (m + 12)/2:
(m - 12)/4 = (m + 12)/2
Hint: | Make (m - 12)/4 = (m + 12)/2 simpler by multiplying both sides by a constant.
Multiply both sides by 4:
(4 (m - 12))/4 = (4 (m + 12))/2
Hint: | Cancel common terms in the numerator and denominator of (4 (m - 12))/4.
(4 (m - 12))/4 = 4/4×(m - 12) = m - 12:
m - 12 = (4 (m + 12))/2
Hint: | In (4 (m + 12))/2, divide 4 in the numerator by 2 in the denominator.
4/2 = (2×2)/2 = 2:
m - 12 = 2 (m + 12)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
m - 12 = 2 m + 24
Hint: | Move terms with m to the left hand side.
Subtract 2 m from both sides:
(m - 2 m) - 12 = (2 m - 2 m) + 24
Hint: | Combine like terms in m - 2 m.
m - 2 m = -m:
-m - 12 = (2 m - 2 m) + 24
Hint: | Look for the difference of two identical terms.
2 m - 2 m = 0:
-m - 12 = 24
Hint: | Isolate terms with m to the left hand side.
Add 12 to both sides:
(12 - 12) - m = 12 + 24
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
-m = 24 + 12
Hint: | Evaluate 24 + 12.
24 + 12 = 36:
-m = 36
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of -m = 36 by -1:
(-m)/(-1) = -36
Hint: | Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: m = -36
When a 49 pound weight is attached to a spring, the spring
stretches 7 inches. Assume that the length of the spring y varies directly
with the weight attached x. Write and solve a direct variation equation to
find the length of the spring when a 63 pound weight is attached.
im not for sure but I think the answer is 9! my reasoning is below,,
Step-by-step explanation:
[tex] \frac{49}{7} = \frac{63}{x} [/tex]
do the crossing method and it would result in this
(49×x) = (63×7)
after simplifying both sides
49x = 441
divide both sides by 49 and the result will be
x = 9 !!
ANSWER QUICK
PLEASE GIVE A CORRECT ANSWER THO
Answer:
c?
Step-by-step explanation:
Answer: that is a function beause it passes the vertical line test.
Step-by-step explanation: pls mark brainiest thankss
John's birthday is this saturday, in buying materials for the party Vicki notices that plates come in packs of 12, cups come in packs of 10, and utensils come in packs of 8 sets. If Vicki wants to have no left overs, how many packs of utensils should she buy?
Answer:
Step-by-step explanation:
So, Vicki wants no left overs whatsoever, which means we have to get all three items to the same number. We first look at 10. We know that 10 will always have a 0 in the one's place, meaning that 8 and 12 have to be multiplied by 5, 10, 15, 20, etc., but they do not need to be multiplied by the same number.
Let's take 8 first. 8 can possibly go up to 40, 80, 120, 160, 200, etc.
Then 12. 12 can possibly go up to 60, 120, 180, 220, 280, etc.
We can see that both numbers have 120 in common, so we shall use that.
We know that we can get 10 to 120 by multiplying 10 by 12, meaning Vicki buys 12 packs of cups.
We know that we can get 12 to 120 by multiplying 12 by 10, meaning Vicki buys 10 packs of plates.
And finally, we know that we can get 8 to 120 by multiplying 8 by 15, meaning Vicki buys 15 packs of utensils.
So, since the question is asking for utensils only, we should say that Vicki buys 15 packs of utensils.
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2⋅length+2⋅width=48. Find the length, in centimeters, if the width is 10 centimeters
Answer:
The length of the rectangle is 14 cm
Step-by-step explanation:
Here, we want to find the length of the rectangle given the width
Mathematically, the perimeter of the rectangle can be calculated using the formula;
2( l + w)
from the question w = 10
and perimeter = 48
Thus;
2( l + 10) = 48
divide both sides by 2
l + 10 = 48/2
l + 10 = 24
l = 24 - 10
l = 14 cm
Given h(x) = -x + 2, find h(4).
The value of the function h(x) at x equal to 4 is -2.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given function is h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-
h(x) = -x + 2,
h(x) = -(4) + 2,
h(x) = -2
Therefore, the value of the function h(x) at x equal to 4 is -2.
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A rectangular television's length is 3 inches more than twice its width. The
perimeter of the television is 144 inches. What is the width of the television?
Answer:
49
Step-by-step explanation:
so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer
Which graph represents y = tan-1x?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
got it right on edge
What is the quotient of 513 divided by 19
Answer:
27 remainer of 0
Step-by-step explanation:
The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.
The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.
Read on to find the result of 513 divided by 19 in decimal notation, along with its properties.
I need help with this
Answer:
It'll take 11 years till they're the same
Pweasseeee help meh (7th grade math work) will mark as Brainliest :3
Answer:
x = 52.5 cmStep-by-step explanation:
this is called a ratio and proportion or similar triangles
21 = 35
31.5 x
do cross multiply:
21 x = 31.5 (35)
x = 1102.5 / 21
x = 52.5 cm
write an equation given a slope of 1/2 that goes through the ordered pair (2,4)
Answer:
y= 1/2x +3
Step-by-step explanation:
six times a number decreased by 8 is less than five times the number plus 21
Answer:
6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.
Step-by-step explanation:
Question = 6x - 8 < 5x +21
so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5. so the first factor of 6 is 6 so:
(6 x 6) - 8 < (5 x 6) + 21
36 - 8 < 30 + 21
28 < 51
so x = 6
Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:
(6 x 30) - 8 is more than (5 x 30) + 21
180 - 8 is more than 150 + 21
172 is more than 171
hope that helps : )
Representing the problem using mathematical equation, the inequality which represents the scenario is n < 29
Let the number be represented as n :
6n - 8 < 5n + 21
We can then solve for n
6n - 5n < 21 + 8
n < 29
Therefore, the inequality expression which represents the possible values of n for which the expression is true is n < 29
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Pls Help! Find the Value of x that makes M Parallel to N
Can you find the equation of a line parallel to the green
line through the point (-5,-3). Write you equation in
point-slope form.
Answer:
[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.
We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can clearly identify the following points in the green line: (0,4) (5,0):
[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]
Now we have the slope and the point, the equation of the line is:
[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]
[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]
9
2 points
Item 9 is unpinned. Click to pin.
Fill in the blanks by creating the line perpendicular to
y
=
1
3
x
−
3
y=
3
1
x−3 that goes through (-1, -4) in slope intercept form.
FOR YOUR ANSWER, ONLY TYPE NUMBERS.
y =
Question Blank
x -
Question Blank
Answer: uhh
Step-by-step explanation:
I really don’t know how to do it.
Solve for x 23x=10, Help me please
Answer:
the answer is 10 over 23
Answer:
x= 10/23 = 0.435
Step-by-step explanation:
what is the greatest common factor shared by 10 and 40
[tex]\huge\bold\green{Answer:-}[/tex]
Greatest common factor (GCF) of 10 and 40 is 10.
GCF(10,40) = 10
[tex]\huge\bold\red{Explanation:-}[/tex]
We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.
Prime Factorization of 10
Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:
10 = 2¹ × 5¹
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 2³× 5¹
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1, 2, 5
Factors of 40
List of positive integer factors of 40 that divides 10 without a remainder.
1, 2, 4, 5, 8, 10, 20
Greatest Common Factor
We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 40 is 10.
The Greatest Common Factor of 10 and 40 is 5.
What is Greatest Common Factor?The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
We have to find the greatest common factor of 10 and 40.
So factorizing each number
10 = 2 x 5
40 = 2 x 2 x 2 x 5
Here the common factor of 10 and 40 is
= 2 x 5
= 10
Thus, the Greatest Common Factor is 10.
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Perform the indicated operation.
12 ÷ (-6)
6
-18
-2
-72
Answer:
the answer is -2 because positive divided by a negative is equals to a negative so positive 12 divided by -6 it will be equal to -2
for every 6 cups of flour in bread recipe there are 2 cups of milk
Answer:
3
Step-by-step explanation:
3
A florida factory produces fishing reels at a rate of 800 per day, every day. IN April, they are forced to cut their production by 15due to an aluminum shortage. A chain of sporting goods stores orders 20,000 fishing reels. Will the factory be able to produce enough fishing reels in the 30 days of April to meet this order? Explain how you know.
Answer:
Yes
Step-by-step explanation:
Yes because if you subtract the 15 from 800 you get 785 you times that by 30. You get 23,550. I drop the 30, 1 by 1 and when I got to 26 it is 20,410. so yes they can in 25 and 1/2 days to be exact.
[weigh (lbs)]10I20II30I40
[medication(mg)]12 24 36 48
The amount of medication a dog needs is directly proportional with it weight as shown in the table below how many milligrams of medication are needed for 27.5 pound dog
Answer:
wait (ik its got nothing to do with ur question but are u a weeb BC I've been looking for a new anime but I can't find one
At Break Time Bakery, donuts are 0.75 each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?
Answer: B
Step-by-step explanation:
Answer:
B.)y = 1.50x + .75
Step-by-step explanation:
A real number is positive, negative, or zero. True or false
Answer:
True
Step-by-step explanation:
.
Anwer is true yea it true
How do you find the prime factorization of 72?
Step-by-step explanation:
explanation:
Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.
What is the y-intercept of the line?
Answer: 1
Step-by-step explanation:
The y axis goes up and down. The slanted line meets the Y axis at 1.
Answer:
1
Step-by-step explanation:
the y intercept would be 1 because that’s where the line passes through the y axis. A more mathematical term would be, the y intercept is (0,1)
PLZ HELP! I WILL MARK YOU BRAINLIEST!
Answer:
6
Step-by-step explanation:
[tex]\sqrt[3]{216}[/tex] = 6
Jeremy performs the same operations on 4 values for x. He records each resulting y-value in a table, which equation shows the operation Jeremy performs on x to get to y?
x: 2,4,6,8
y:5,13,21,29
Answers: y= 2x+1 , y= 4x-3 , y= x+3 , y= 3x-1
Answer:
y= 2x+1
Step-by-step explanation:
factor each trinomal. write prime if it is not factorable
1. y2+14y+48
2. m2+8m+12
3. y2-12y+60
4. 12y2+17y-5
5. 10x2+31x+15
Answer:
ARMY-BTS
Step-by-step explanation:
Find the coterminal angle between 0 and 360°of the angle -280°
Answer: So, the coterminal angle of 450° is -90°.
Step-by-step explanation:(i) 395°
Write 395° in terms of 360°.
395° = 360° + 35°
So, the coterminal angle of 395° is 35◦
(ii) 525°
Write 525° in terms of 360°.
525° = 360° + 165°
So, the coterminal angle of 525° is 165°.
(iii) 1150°
Write 1150° in terms of 360°.
1150° = 3(360°) + 70°
So, the coterminal angle of 1150° is 70°.
(iv) -270°
Write -270° in terms of 360°.
-270° = -360° + 90°
So, the coterminal angle of 270° is 90°.
(v) -450°
Write -450° in terms of 360°.
-450° = -360° - 90°
So, the coterminal angle of 450° is -90°.
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a physical store. You have a coupon for 10% off that can only be used in the physical store and a $5.00 off coupon that can only be used online. The sales tax of 5% only applies to the physical store. Shipping for the online store is a flat rate of $6.99. You are trying to decide whether to shop at the physical store or the online store. Using the pricing information below, how much would you pay at the physical store after all discounts, taxes, and shipping fees have been applied?
Item Quantity Physical Store Online Store
Batteries 2 packs $5.99/pack $4.99/pack
Stereo 1 system $100.00/system $90.00/system
CDs 3 CDs $7.95/CD $8.95/CD
$138.04
$118.42
$128.36
The Anwser is $128.32.