The expression to determine number of muffins each friend gets is ; m = [tex]\frac{x}{3}[/tex] - 2.
It is given that 6 muffins are freeze and rest are equally shared among yourself and 2 friends.
We have to find out the number of muffins each one will get.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
The number of freeze muffins = 6
The rest of muffins are equally divided between me and 2 other friends.
Let's assume that the total number of muffins is x.
The number of muffins distributed between 2 friends and me is ;
= x - 6
The number of muffins (m) each one will get ;
m = [tex]\frac{x-6}{3}[/tex]
or
m = [tex]\frac{x}{3}[/tex] - [tex]\frac{6}{3}[/tex]
or
m = [tex]\frac{x}{3}[/tex] - 2
Thus , the expression to determine number of muffins each friend gets is ; m = [tex]\frac{x}{3}[/tex] - 2.
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Which of the following statements best gives the reasons that a data usage bill for a smart phone is an essential (variable) expense? a. It is an obligation to pay, but the spender has some control over its amount. b. It cannot be eliminated in a later budget, in order to save money. c. It is expected to be the same amount every month. d. Bills for services rendered have a higher priority than any other type of expense. Please select the best answer from the choices provided A B C D
Answer: I’m pretty sure its A on e2020
Step-by-step explanation:
It is an obligation to pay, but the spender has some control over the amount.
Option A is the correct answer.
We have,
The reason that a data usage bill for a smartphone is an essential (variable) expense is that it is an obligation to pay.
In other words, the phone service is necessary for the phone to function properly, and therefore, the bill must be paid.
However, the spender has some control over its amount by managing their data usage, such as turning off data for certain apps or using Wi-Fi instead of cellular data.
This means that while the bill cannot be eliminated entirely, the spender can take steps to reduce the amount owed.
Statement b is incorrect because while the bill cannot be eliminated entirely, it can be reduced by managing data usage.
Statement c is incorrect because the amount of the bill is not expected to be the same every month, as it will depend on how much data is used. Statement d is incorrect because while bills for services rendered may be a priority, they do not necessarily have a higher priority than other types of essential expenses, such as food or housing.
Thus,
It is an obligation to pay, but the spender has some control over the amount.
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The table shows the height of the tree that Margo planted over an 11-month period. A 2-column table with 6 rows titled Growth of Margo's Tree. The first column is labeled Month with entries 1, 3, 5, 7, 9, 11. The second column is labeled Height of Tree (feet) with entries 1.4, 1.5, 2.1, 2.7, 3.0, 1.8. Which statement can be supported by the information in the table?
Answer:
3. The tree increased in height each month until the time period between month 9 and month 11.
The statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.
What is s table?It should be noted that a table simply means a list of numbers to that depicts a particular information.
In this case, the statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.
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34,776 is divisible by: 2 3 9 6 pick the right answers.
[tex]\tt Step-by-step~exlpanation:[/tex]
To find out the answer, we would have to try and divide all the numbers.
[tex]\tt \frac{34,776}{2}= 17,388\\ YES[/tex]
[tex]\tt \frac{34,776}{3}= 11,592\\YES[/tex]
[tex]\tt \frac{34,776}{9}=3,864\\ YES[/tex]
[tex]\tt \frac{34,776}{6}= 5,796\\YES[/tex]
[tex]\large\boxed{\tt Our~final~answer:~ALL ~(2,3,9,6)}[/tex]
If p=(1/3) and q=4 2/7 then p2^q=
Answer:
1. [tex]\frac{10}{21}[/tex]
2. [tex]\frac{405}{49} = 8\frac{13}{49}[/tex]
Step-by-step explanation:
first one:
[tex]p^{2} q[/tex] = [tex](\frac{1}{3})^{2}[/tex] × [tex]4\frac{2}{7}[/tex] = [tex]\frac{1}{9}[/tex] × [tex]\frac{30}{7}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{10}{7}[/tex] = [tex]\frac{10}{21}[/tex]
second one:
[tex]t^{2}[/tex]/[tex]s[/tex] = [tex](1\frac{2}{7})^{2}[/tex] / [tex]\frac{1}{5}[/tex] = [tex](\frac{9}{7})^{2}[/tex] × [tex]5[/tex] = [tex]\frac{81}{49}[/tex] × [tex]5[/tex] = [tex]\frac{405}{49}[/tex] = [tex]8\frac{13}{49}[/tex]
Ellen sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces. How much does each wedge of cheese weigh?
Given :
Ellen sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.
To Find :
How much does each wedge of cheese weigh.
Solution :
Let , weight of each wedge of cheese is x.
16 pieces of wedge of cheese weight 5 pounds .
So,
[tex]16x=5\\\\x=\dfrac{5}{16}\\\\x=0.3125\ pounds[/tex]
Therefore, weigh of cheese is 0.3125 pounds.
Hence, this is the required solution.
y-0=1/4(x-3) in slope intercept form
Answer:
y= 1 /4 x − 3 /4
Step-by-step explanation:
y=mx+b
Help I am kinda confused on this!
Rewrite as a simplified fraction. 0 1
Answer:
1/10
Step-by-step explanation:
Answer:
1/100
Step-by-step explanation:
it would be 1/10 if the decimal was 1 space to the right.
Which choice is the correct graph of|xl> 5?
Answer:
c
Step-by-step explanation:
To start a board game, the player who rolls two sixes gets to go first. What is the probability that a player will roll two
number cubes and get two sixes?
1
36
OH
1
18
oth 음
4
O 15
Answer:
1 over 36
Step-by-step explanation:
Answer:
1 over 36 or A
Step-by-step explanation:
Trust me bro;)
-2(-7n-8)=-39+3n. plz solve and explain the answer
Answer:
n = -5
Step-by-step explanation:
-2(-7n-8)=-39+3n
Distribute
14n +16 = -39 +3n
Subtract 3n from each side
14n -3n +16 = -39 +3n -3n
11n +16 = -39
Subtract 16 from each side
11n +16 -16 = -39 -16
11n = -55
divide by 11
11n /11 = -55/11
n = -5
Mrs. Johnson wants to take her class to the fair. The bus will cost $200 and the fair charges $4 per student. She has a $300 budget, what is the maximum number of students she can take to the fair.
Answer:
This is simple,
Step-by-step explanation:
If the bus costs 200$ and the fair charges 4$ per students that means you have to do this:
300$ budget - 200 of the bus = 100$ left
and if $4 per student:
100 divided by 4 = 25
she can take 25 students
Hope this helps!
Last night, the temperature fell from 0°F to Negative 13 and one-fifth°F in4 and two-fifths hours. Alan calculated the average temperature change per hour. Negative 13 and one-fifth divided by 4 and two-fifths = Negative StartFraction 66 over 5 EndFraction divided by StartFraction 22 over 5 EndFraction = Negative StartFraction 66 over 5 EndFraction (StartFraction 22 over 5 EndFraction) = Negative StartFraction 1,452 over 25 EndFraction Alan solved the problem, but when he checked the answer by estimating, it didn’t seem right. What error did he make?
Answer:
b
Step-by-step explanation:
give other person brainliest
The mistake lies in step -(66/5)/(22/5) → -(66/5)(22/5) where he didn't take the reciprocal of the divisor while dividing the two fractions.
The step would have been like this:
-(66/5)/(22/5) = -(66/5)(5/22) = -(3).
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator.Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How are fractions divided?Fractions are divided by multiplying the dividend by the reciprocal of the divisor
Suppose we are asked to divide a fraction a/b by x/y.
This is written as (a/b) ÷ (x/y) or (a/b)/(x/y), and calculated as:
(a/b)*(y/x).
How to solve the question?In the question, we are informed that last night, the temperature fell from 0°F to Negative 13 and one-fifth °F in 4 and two-fifths hours. Alan calculated the average temperature change per hour.
He followed the following steps:
-(13 1/5)/(4 2/5)
= -(66/5)/(22/5)
= -(66/5)(22/5)
= -(1452/25).
The mistake lies in step -(66/5)/(22/5) → -(66/5)(22/5) where he didn't take the reciprocal of the divisor while dividing the two fractions.
The step would have been like this:
-(66/5)/(22/5) = -(66/5)(5/22) = -(3).
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Please help me with this question
Step-by-step explanation:
it is 3 one
Can someone help me?
True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
WANNA HAVE BRAINIEST | Simplify (4x - 6) + (5x + 1). (1 point)
a
9x + 5
b
9x - 5
с
X-5
-X-5
Answer:
9x-5
Step-by-step explanation:
(4x - 6) + (5x + 1)
Add like terms
4x+5x=9x
-6+1=-5
Combine
9x-5
Hope this helps! Plz award Brainliest : )
can someone explain please
It is saying that irrational numbers like pie can be broken down into approximate irrational numbers and plotted onto points.
Example [tex]\sqrt{1.6}[/tex] approximate value is 1.264911
That number can be plotted in place of [tex]\sqrt{1.6}[/tex]
If a dog needs to eat 1 3/4 of dry food 3 times a day. How much does he eat in 1 feeding
Answer:.583
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION ASAP!!
Mrs. Trobiano regularly works 40 hours per week, at a rate of d dollars
per hour. Last week she worked h overtime hours at double time.
Express her total weekly salary algebraically.
Answer:
d = 40w x 2
Step-by-step explanation:
What are the constants
in the equation 3x+2y+4
Answer:
4
Step-by-step explanation:
The constant is the number without a variable, usually being added or subtracted from the variable but not multiplied or divided by it.
which expression is equivalent to 1.8(2x ÷7)-15
Step-by-step explanation:
1.8(2/7x)15
1.8×15(2/7x)
27(2/7x)
54/7x
What is 2 x 10 to the -6th power?
Answer:
2 x 10 to the -6th power is .000002.
Answer:
[tex]\frac{1}{20^} ^6[/tex]
Step-by-step explanation:
Depends what you mean
if you mean 2x10^-6 it would be different than (2x10)^-6 but I'll solve for the latter.
[tex](2*10)^-6 = (20)^-6\\20^-6 = \frac{1}{20^6}[/tex]
1/20^6 would just be
[tex]\frac{1}{64000000}[/tex]
what is the cube root of 8/27
Answer:
Cube root of 8/27 is 2/3
[tex] \sqrt{ \frac{8}{27} } [/tex]
[tex] = \sqrt{ (\frac{2}{3} {)}^{2} } [/tex]
[tex] = \frac{2}{3} [/tex]
Armando started the school year with 15 pencils and gave away 3 pencils every month. Daniel started the school year with 7
pencils and bought 1 every month.
After how many months did Armando have the same number of pencils as Daniel?
A-8
B-2
C-12
D-5
Answer:
B-2
Step-by-step explanation:
It is B, because On the first month, Armando has 12 and Daniel has 8, now on the 2nd month Armando has 9 because he gives away 3 each month and Daniel now has 9 because he adds one each month, so all in all, they have the same exact number of pencils on the 2nd month
After 5 months is when Armando and Daniel had the same number of pencils.
If A, B,C are the angles of a triangle then prove: (the following in picture)
Please help me to prove this.
The proof for this is simple. Let's say that A + B + C = π. From here on we require several trigonometric identities that must be applied.
[tex]\cos \left(A\right)+\cos \left(B\right)+\cos \left(C\right) \\= 2 * cos((A + B) / 2) * cos((A - B) / 2) + \cos C \\= 2 * cos((\pi /2) - (C/2)) * cos((A - B) / 2) +\cos C \\= 2 * sin(C/2) * cos((A - B) / 2) + (1 - 2 * sin^2 (C/2)) \\= 1 + 2 sin (C/2) * cos((A - B) / 2) - sin (C/2) \\= 1 + 2 sin (C/2) * cos((A - B) / 2) - sin((\pi /2) - (A + B)/2 ))\\= 1 + 2 sin (C/2) * cos((A - B) / 2) - cos((A + B)/ 2)\\= 1 + 2 sin (C/2) * 2 sin (A/2) * sin(B/2) \\= 1 + 4 sin(A/2) sin(B/2) sin(C/2)[/tex]
Hope that helps!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ C = π - (A + B)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use Product to Sum Identity: 2 sin A · sin B = cos [(A + B)/2] - cos [(A - B)/2]
Use the Double Angle Identity: cos 2A = 1 - 2 sin² A
Use the Cofunction Identity: cos (π/2 - A) = sin A
Proof LHS → RHS:
LHS: cos A + cos B + cos C
= (cos A + cos B) + cos C
[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+\cos C[/tex]
[tex]\text{Given:}\qquad 2\cos \bigg(\dfrac{\pi -C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+\cos C\\\\\\.\qquad \qquad =2\cos \bigg(\dfrac{\pi}{2} -\dfrac{C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+\cos C[/tex]
[tex]\text{Cofunction:}\qquad 2\sin \bigg(\dfrac{C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+\cos C[/tex]
[tex]\text{Double Angle:}\qquad 2\sin \bigg(\dfrac{C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+\cos\bigg(2\cdot \dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad =2\sin \bigg(\dfrac{C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\sin \bigg(\dfrac{C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)-2\sin^2\bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{Factor:}\qquad 1+2\sin \bigg(\dfrac{C}{2}\bigg)\bigg[\cos \bigg(\dfrac{A-B}{2}\bigg)-\sin\bigg(\dfrac{C}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad 1+2\sin \bigg(\dfrac{C}{2}\bigg)\bigg[\cos \bigg(\dfrac{A-B}{2}\bigg)-\sin\bigg(\dfrac{\pi-(A+B)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad 1+2\sin \bigg(\dfrac{C}{2}\bigg)\bigg[\cos \bigg(\dfrac{A-B}{2}\bigg)-\sin\bigg(\dfrac{\pi}{2}-\dfrac{A+B}{2}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\qquad 1+2\sin \bigg(\dfrac{C}{2}\bigg)\bigg[\cos \bigg(\dfrac{A-B}{2}\bigg)-\cos\bigg(\dfrac{A+B}{2}\bigg)\bigg][/tex]
[tex]\text{Product to Sum:}\qquad 1+2\sin \bigg(\dfrac{C}{2}\bigg)\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \sin\bigg(\dfrac{B}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =1+4\sin \bigg(\dfrac{C}{2}\bigg)\bigg[\sin \bigg(\dfrac{A}{2}\bigg)\cdot \sin\bigg(\dfrac{B}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =1+4\sin \bigg(\dfrac{A}{2}\bigg)\sin \bigg(\dfrac{B}{2}\bigg) \sin\bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{LHS = RHS:}\ 1+4\sin \bigg(\dfrac{A}{2}\bigg)\sin \bigg(\dfrac{B}{2}\bigg) \sin\bigg(\dfrac{C}{2}\bigg)=1+4\sin \bigg(\dfrac{A}{2}\bigg)\sin \bigg(\dfrac{B}{2}\bigg) \sin\bigg(\dfrac{C}{2}\bigg)\quad \checkmark[/tex]
Owen paid $15 to download some of his favorite
songs. He paid $2.50 per song How many songs did
he download
Owen downloaded 1 songs
Answer:
6
Step-by-step explanation:
6x2.5=15
yeßssssssss I do math easy pressure
What do you do with the exponents when dividing powers with the same base
Answer:
When dividing numbers with the same base, you subtract the exponents.
Step-by-step explanation:
For example, 8^5/8^3 = 8^2 or 64
3 units, 2units, 2 units the area of the figure square units
Answer:
12
Step-by-step explanation:
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