Answer:
the variable is 9x
Step-by-step explanation:
Three positive integers have a mean of 4 and a range of 7. Find the three numbers.
The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).
What is defined as the positive integers?Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.
Natural numbers are another word for positive integers.Natural numbers are positive counting numbers (1, 2, 3, 4,...). The whole numbers are obtained by adding the number 0 to the natural numbers (0, 1, 2, 3, ...). Integers include 0 as well as the natural numbers and their inverses: (..., -3, -2, -1, 0, 1, 2, 3, ...).Now, as per the given question;
Let the three number be a, b and c.
The range of the number are given as 7.
Then,
(0 < a < 7), (0 < b < 7) and (0 < c < 7)
The mean of the number is defined as 4.
Thus,
(a + b + c)/3 = 4
So, (a + b + c) = 12.
Now, apply the Enumeration method;
Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,
a = 6, b = 1 and c = 5. ora = 6, b = 2 and c = 4. ora = 6, b = 3 and c = 3.Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,
a = 5, b = 1 and c = 6. ora = 5, b = 2 and c = 5. ora = 5, b = 3 and c = 4.Therefore, the given three positive integers could be;
(6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).
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The interior angle of a regular polygon
is 14 times larger than the exterior
angle.
How many sides does the polygon
have??
Graph a line that contains the point (6,-5) and has a slope of -2/3
Answer:
The line to graph is y=-[tex]\frac{2}{3}[/tex] -1
Step-by-step explanation:
In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).
1. Plug info into point-slope form:
y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)
2. Simplify:
y+5=-[tex]\frac{2}{3}[/tex] x+4
3. Simplify even further:
y=-[tex]\frac{2}{3}[/tex] -1
To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.
how to solve this 2x+x-4y
Answer:
Combine like terms
2 + − 4
3x − 4y
Answer:
[tex]3x-4y[/tex]
Step-by-step explanation:
[tex]2x+x-4y[/tex]
If a term doesn't have a coefficient , it is considered that the coefficient is 1
[tex]2x+1x-4y[/tex]
Why is it considered that the coefficient is 1?
Remember that any term multiplied by 1 remains the same:
[tex]1.x=x[/tex]
Step 1
The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:
[tex]x=1 . X \\[/tex]
Step 2
Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:
[tex]x=1x[/tex]
That is why we can write the term without the coefficient as a term with coefficient 1.
Let's go back to your problem now
Collect like terms by adding their coefficients
[tex](2+1)x-4y[/tex]
Add the numbers
[tex]3x-4y[/tex]
PLEASE MARK ME AS BRAINLIEST
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal. A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Answer:
A. $0.25 per ounce
B. 4 ounces per dollar
Step-by-step explanation:
As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.
A) How much does popcorn cost per ounce? The cost per ounce is dollars.
10 ounces of spicy popcorn = $2.50
1 ounce of spicy popcorn = x
Cross Multiply
10 ounces × x = $2.50
x = $2.50/10 ounces
x = $0.25 per ounce
B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.
$2.50 = 10 ounces of spicy popcorn
$1 = x ounce of spicy popcorn
Cross Multiply
$2.50 × x = 10
x = 10/2.50
x = 4 ounces per dollar
C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is
Sarah paid $1,932 in tax on her new car
which had a purchase price of $80,500.
Which other car tax & price
varies directly with hers?
A) Purchase Price = $68,000 & Tax = $1,020
B) Purchase Price = $92,000 & Tax = $2,760
C) Purchase Price = $75,000 ¢ Tax = $1,350
D) Purchase Price = $85,000 & Tax = $2,040
Answer: D. Purchase Price = $85,000 & Tax = $2,040
Step-by-step explanation:
From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:
= $80500 / $1932
= 41.67
The options that varies directly with the above will be:
A. Purchase Price = $68,000 & Tax = $1,020
Constant of proportionality
= $68000 / $1020 = 66.67
B) Purchase Price = $92,000 & Tax = $2,760
Constant of proportionality:
= $92000 / $2760
= 33.33
C) Purchase Price = $75,000, Tax = $1,350
Constant of proportionality:
= $75000 / $1350
= 55.56
D) Purchase Price = $85,000 & Tax = $2,040
Constant of proportionality:
= 85000 / 2040
= 41.67
Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.
Compare the twentieth entries in each list of numbers. Which list has the largest twentieth number?
A. −8, −5, −2, 1, …
B. −12, −11, −10, −9, …
C. −13, −11, −9, −7, …
D. −16, −11, −6, −1, …
Answer:c
Step-by-step explanation:
What is the slope of the line ?
Answer:
[tex]m=\frac{8}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -4)
Point (1, 4)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{4+4}{1+4}[/tex]Add: [tex]m=\frac{8}{5}[/tex]PLEASE HELP FAST! Solve for Y in the following system of equations!
X-y=-1
3x+5y=21
A.) 2
B.) 3
C.) 9
D.) 12
Answer:
B.) 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x - y = -1
3x + 5y = 21
Step 2: Rewrite Systems
x - y = -1
Add y to both sides: x = y - 1Step 3: Redefine Systems
x = y - 1
3x + 5y = 21
Step 4: Solve for y
Substitution
Substitute in x: 3(y - 1) + 5y = 21Distribute 3: 3y - 3 + 5y = 21Combine like terms: 8y - 3 = 21Add 3 to both sides: 8y = 24Divide 8 on both sides: y = 3Which type of transformation is describe by (x,y) and (x+2,y+3)?
Answer:
fing the variable that is what u need
Jenny earned 104 of a possible 140 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have? PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Jenny had 9 incorrect answers.
Step-by-step explanation:
We know that Jenny earned 104 of a possible 140 points on a test.
140 - 104 = 36
We also know that she lost 4 points for every incorrect answer.
36 ÷ 4 = 9
Therefore, Jenny had 9 incorrect answers.
Hope this helps! :D
Answer:
9 questions incorrect
Step-by-step explanation:
Make an Equation
104+x(4)=140
X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.
Solve the equation
104+4x=140 Subtract 104 on both sides
4x=36 Divide 4 on both sides
x=9 X=9
what is 12 34/100 written in standard form?
Answer:
12 17/50
Step-by-step explanation:
Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.
The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).
Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.
Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.
Hope this helps :)
How do you get from one number to the next using multiplication or division?
From 100 to 106.
We can move from 100 to 10^6 by multiplying with 10^4.
How do you use multiplication?We know that it is possible to move from one value to another by the use of multiplication or division. Now in either case, there is a value that we have to us to multiply or divide another number order to move from one number to another.
Now we have the number 100 and we want to change it to 10^6. The implication of this is that the number 100 must have to be multiplied by the number 10^4 in order to arrive at the expected destination.
Thus;
100 * 10^4 = 10^6
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what is the upper and lower bound of 0.82
Answer:
What ?
Step-by-step explanation:
!!NEED HELP!!
The formula a subscript n = 10 - 4n describes an arithmetic sequence. What are the first four
terms in the sequence?
A)6, 2, -2,-6
B) 6,2,0,-2
C)10, 6, 2,-2
D)14, 18, 22, 26
Answer:
A)6, 2, -2,-6
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = a +dn-d
a(n) = a-d + dn
a(n) = 10 - 4n
So d=-4
to get a: (a-d)=10
a=10-4=6
The first four terms:
a(1) = 6 +(1-1)-4=6
a(2) = 6 +(2-1)-4=2
a(3) = 6 +(3-1)-4=-2
a(4) = 6 +(4-1)-4=-6
it will be A
hope this helps
How does a percent relate to a proportion? Drag the words to complete the explanation.
Each word may be used once or not at all.
variable, part, whole, constant
A percent is a --------- of proportionality describing the----------- of the ----------
how ever answers this is relly smart and pls answer it correct and i will give him brainlist
Answer:
A percent is a constant of proportionality describing the part of the whole
Helppp plss I will give 40 points
Answer: 108
Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.
The area of the square base is equal to s2
The area of one triangle is equal to (s × l)/2
The slant height of a square pyramid equals (l)
Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l
Therefore, the surface area, call it SA is Surface Area (SA)= s2
+ 2 × s × l
so if you plug in the numbers you get 6^2+2*6*6 which equals 108
Answer:
The Answer is 108 feet squared.
Square Surface Area-
A= LxW
A= 6x6
A= 36
Triangle Surface Area-
A= 1/2 bh
A= 1/2 6x6
A = 1/2×36
A= 18
Since there are 4 Triangle multiple 18×4= 72
so... 72+36= 108
BOOM!! LOL
a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass
A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
Please, giving all my points.
Combine and Simplify 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
WRITE 2 WAYS
Answer: -4x-34y-32
(I think this is right but I am not completely sure... if its not I am sorry :/ )
Step-by-step explanation:
First Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]
48(-2/24x-17/24y-2/3)
48(-1/12x-17/24y-2/3)
-4x-34y-32
Second Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
12x-16y-16x-18y-32
-4x-34y-32
which one is it??? plz answer fastttttttt
Answer:
The last one (8.6x10^-2)
what is 3n - (2+n) if N is equal to 6?
Answer:
22
Step-by-step explanation:
but be more especific
A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!
Answer:
6 days to produce
Step-by-step explanation:
24÷4=6 days
The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Calculation of the no of days:Since A clothing factory produces 4 boxes of jackets every 3 days.
Here the number of days should be
[tex]= 24\div 4[/tex]
= 6 days
Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
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As an estimation we are told 5 miles is 8 km.
Convert 57.5 miles to km.
Answer:
5 miles=8km
1miles=8/5=1.6km
57.5 miles=(57.5×1.6)km
=92km
A recipe uses 1/3 cup of flour and 1/8 cup of sugar.How much flour and sugar does the recipe use altogether?
Answer:
11/24
Step-by-step explanation:
Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.
Please help me please
It is reflected over the x-axis and rotated 90 degrees.
Please Help!!
7 times a number minus the number is -48 find the number
Which way will water move in this example shown below?
The water will not move
Water will move into the cell
The water will evaporate
The water will move out of the cell
Answer: it will move down.
Step-by-step explanation:
because of gravity.
Find the constant rate of change from the table
Answer:
going on by 2 every
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
7
Step-by-step explanation:
The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.
Answer:
x = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
33° + 90° + (7x + 8)° = 180°
Step 2: Solve for x
Combine like terms: 7x + 131 = 180Isolate x term: 7x = 49Isolate x: x = 7