Answer:
[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Step-by-step explanation:
To make "n" the subject of the formula, rearrange the formula so it begins with " n = "
To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.
=> m = 5n - 21
there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.=> m + 21 = 5n - 21 + 21
=> m+ 21 = 5n
There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
299 divided by 21 step by step
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?
Using a linear equation, we find c using:
[tex]42 = 18 + 4c[/tex]
A linear function has the following format:
[tex]A(n) = A(0) + cn[/tex]
In which:
c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]
She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]
Then
[tex]A(n) = A(0) + cn[/tex]
[tex]42 = 18 + 4c[/tex]
Hence, the equation to find c is:
[tex]42 = 18 + 4c[/tex]
A similar problem is given at https://brainly.com/question/16302622
Rewrite 4/6 and 1/3 as a unite rate
Answer: B
Step-by-step explanation: Hope this helps :)
A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles
Answer:
421 tiles
Step-by-step explanation:
3368/8=421
Answer:
421 tiles
Step-by-step explanation:
Divide $3368 by $8 to determine the number of tiles the store can purchase:
$3368/($8 per tile) = 421 tiles
Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8
Answer:
C D E
Step-by-step explanation:
15:3=5
25:5=5
40:8=5
Using the remainder theorem, find F(2) for the polynomial function
F(x) = 3x3 - 5x2 + 13x - 19.
If a = 8 and b = 36 calculate the value of a^(1/3) b^(-3/2)
Answer:
[tex]\frac{1}{108}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]
[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36
= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]
= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]
= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]
= 2 [tex]\frac{1}{6^3}[/tex]
= 2 × [tex]\frac{1}{216}[/tex]
= [tex]\frac{1}{108}[/tex]
you could give away 70 coffee mugs without charging anything.
If you charge $10.00, nobody will buy the coffee mugs. You also figured out that your sales will be decreasing
following straight line. Your job is to find the maximum possible revenue from selling the coffee mugs.
Answer the following questions:
1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S.
Hint: To give away 70 coffee mugs means when the price p=0, S(0) = 70. Plot that point on the graph. Find one
more point using the other given condition. Keep in mind S(p) is a linear function. Be careful what will be
represented on the x-axis, and what will be represented on the y-axis.
2. Find the equation of the linear function S(p) that describes the quantity sold as a function of the price p.
3. The revenue is determined by R = Sp. Express the revenue as a function of the price p.
Help: You may look at the examples from the power point for section 2.6
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be sold to maximize the revenue?
8. What is the maximum revenue?
9. What price per coffee mug you should charge to collect at least $70 in revenue?
Your project will be graded based on the following:
1. Turned in a hard copy, and an electronic version as a PDF file on Blackboard on time (due date Dec 7
or before ) (5pts. deduction per day)
2. Completeness (no missing part, show all of your work, calculations, formulas used etc.
3. Precision ( correct answers )
4. Complete graph
the graph has a title
the axes are labeled ( make sure you have included the units of measurement)
-
At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.
Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:
70 = 0 0 = 10 35 = 5 63 x 1 = 63 56 x 2 = 112 49 x 3 = 147 42 x 4 = 168 35 x 5 = 175 28 x 6 = 168
Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.
Learn more about quantities in https://brainly.com/question/25797049
ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answer:
at least 164
Step-by-step explanation:
Let the third score = x.
(138 + 208 + x)/3 ≥ 170
x + 346 ≥ 510
x ≥ 164
Answer: at least 164
Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.
Answer:
the answer is number 1 make my answer brainlist answer
In a recent year, 39% of all college students were enrolled part-time. If 5.8 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
Answer:
15 million
Step-by-step explanation:
39% of all college students enrolled part-time.
5.8 million college students enrolled part-time.
Let x = the total number of college students.
39/100 • x = 5.8
x = 5.8 • 100/39
x = 14.87
=15 million
Hope this helps :)
What is the interquartile range of the lengths of bananas?
Answer:
I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/
that contains quartile ranges of stored bananas
Step-by-step explanation:
If this doesn't help please correct your question or tell me more so I can better help you
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?
Answer:
3x-8
Step-by-step explanation:
math
Answer:
y=3x-8
Step-by-step explanation:
The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.
So, y=3x+b
We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b
: 4=12+b
:-8=b
Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.
At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?
Answer:B
Step-by-step explanation:
Can someone help me on these two questions? NO LINKS!
Answer:
6. a 7. c
Step-by-step explanation:
6. 72 is multiple of 24 and has 18 as a factor
7. 56= 32= 88
8(7+ 4)
=) 56+ 32= 88
OR
=) 8(11)= 88
HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.
Answer:
maximun (0,5)
Step-by-step explanation:
Answer:
So, I put Maximum. (-5/4, 65/8) and it was correct
Step-by-step explanation:
I don't know how to do step by step sorry
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour
Answer:
3:5
Step-by-step explanation:
ratio!
confused can get some help plz
Answer:
Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded
Step-by-step explanation:
Please help asap!! Thanks:) and please don’t answer just for points
Answer:
68 ft^2
Step-by-step explanation:
Find the area of the large rectangle as if the piece were there
A = l*w
A = 6 * 14
A =84
Subtract the area of the square that is missing
A = 4*4 = 16
84 - 16 =68
The area of the figure is 68 ft^2
plsss help me with this:((((
Answer: c. x + 3
Step-by-step explanation:
The first equation tells us the total area of the cloth. The second is the area of each piece. Divide the total area by the piece area to determine how many individual pieces can be made.
(x^3 + 27) can be factored into:
(x+3)(x^2 - 3x + 9) [Not easy, but true]
[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)
(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)
PLEASE HELP THIS IS DUE IN CLASS TODAY
Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free
I need help plss!!!!!!!
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
Isolate the x
x + y/3 = 5
Answer:
x = 5 - y/3
Step-by-step explanation:
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?
8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
Definition of equationAn equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.
The unknowns, that is, the values to be found, are represented by letters.
The equality between the two algebraic expressions is only verified for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
Equation for this situationA class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
Learn more about equation:
https://brainly.com/question/296895
https://brainly.com/question/643184
Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point
(-6,3) with slope – 2.
Answer:
y = -2x - 9
Step-by-step explanation:
Slope = - 2
Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"
y = mx + b
3 = -2(-6) + b
3 = 12 + b
3 - 12 = b
-9 = b
The equation of the line is y = -2x - 9
2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?
Answer:
(p, q ) = (1, - 3 )
Step-by-step explanation:
2p + 3q = - 7 → (1)
3p + 5q = - 12 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p
6p + 9q = - 21 → (3)
- 6p - 10q = 24 → (4)
Add (3) and (4) term by term to eliminate p
0 - q = 3
-q = 3 ( multiply both sides by - 1 )
q = - 3
Substitute q = - 3 into either of the 2 equations and solve for p
Substituting into (1)
2p + 3(- 3) = - 7
2p - 9 = - 7 ( add 9 to both sides )
2p = 2 ( divide both sides by 2 )
p = 1
HELP ME PLEASE AAAAAAAAAAA
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.