PLEASE ANSWER QUICK THIS IS DUE TODAY!!
-6+7m = 6m - m
Answer:
m = 3
Step-by-step explanation:
Hello!
We can solve for m by isolating the variable.
Solve for m-6 + 7m = 6m - m-6 + 7m = 5m => Simplify7m = 5m + 6 => Add 6 to both sides2m = 6 => Simplifym = 3 => Divide by 2The value of m is 3.
there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. Of these
students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
The percentage of the sixth graders at this middle school write left-handed is 8%.
How to calculate the percentage?Since there are there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. The total number will be:
= 90 + 60
= 150 students
Since 9 girls and 3 boys write left-handed, this will give a total of 9 + 3 = 12
Therefore the percentage for left handed people will be:
= Number of left handed people / Total students × 100
= 12 / 150 × 100
= 8%
The percentage is 8%.
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a newsletter publisher believes that 60`% of their readers own a laptop. is there sufficient evidence at the 0.050.05 level to refute the publisher's claim? state the null and alternative hypotheses for the above scenario.
The null hypothesis is [tex]H_{0} : x=0.60[/tex] and alternative hypothesis is [tex]H_{1} :x\neq 0.60[/tex].
What is null and alternative hypothesis?
The null hypothesis is that the statement that researchers usually aim to disprove by performing tests of significance on the dataset. the most purpose of the null hypothesis is to help disprove a hypothesis or nullify it in favor of the alternate hypothesis that the researchers want to prove.
Let the percentage of readers who own a laptop be [tex]x.[/tex]
As newsletter publisher believes that [tex]60[/tex]`% of their readers own a laptop.
Therefore the null hypothesis is [tex]H_{0} : x=0.60[/tex] and alternative hypothesis is [tex]H_{1} :x\neq 0.60[/tex].
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Salesman A gets paid $300 a month plus $8 for every sale he makes. Salesman B gets paid $1500 a mont. Write and equation and solve to see how many salesman a must make in order to make the same amount of salesman b
The salesman A must make 150 order to make the same amount of salesman B .
In the question ,
it is given that ,
Salesman A gets paid $300 per month
for every sale salesman A get $8 .
let the number of sales made by salesman A be "x" .
So, amount made by salesman A = 300 + 8x
Salesman B earns per month = $1500 .
To make the amount earned by both the salesman same ,
300 + 8x = 1500
8x = 1500 - 300
8x = 1200
x = 1200/8
x = 150
Therefore , The salesman A must make 150 order to make the same amount of salesman B .
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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 21 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
63.7 inches to nearest tenth.
Step-by-step explanation:
The legs of the right triangles formed are 21 inches and 1/2*18 = 9 inches.
So, the hypotenuse (which is one of the congruent sides of the isosceles triangle)
= √(21^2 + 9^2
= √522 inches
Therefore, the triangles perimeter
= 2 * √522 + 18
= 63.695 inches.
Number 6. For questions 5-7, (a) use synthetic division to show that x is a zero.(b) find the remaining factors of f(x).(c) use your results to find the complete factorization of f(x).(d) list all zeros of f(x).(e) graph the function.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given polynomials
[tex]f(x)=x^3+6x^2-15x-100[/tex]One of the zeroes is:
[tex]\begin{gathered} x=-5 \\ \text{this implies that:} \\ (x+5)=0 \end{gathered}[/tex]STEP 2: Use synthetic division to divide the polynomials
[tex]\frac{x^3+6x^2-15x-100}{x+5}[/tex]Write the coefficients of the numerator
[tex]1\:\:6\:\:-15\:\:-100[/tex][tex]\begin{gathered} \mathrm{Write\:the\:problem\:in\:synthetic\:division\:format} \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\end{matrix} \\ Carry\:down\:the\:leading\:coefficient,\:unchanged,\:to\:below\:the\:division\: \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\end{matrix} \\ \end{gathered}[/tex][tex]\begin{gathered} Multiply\:the\:carry-down\:value\:by\:the\:zero\:of\:the\:denominator,\:and\:carry\:the\:result\:up\:into\:the\:next\:column \\ 1\left(-5\right)=-5 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:\:\:\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} \mathrm{Add\:down\:the\:column:} \\ 6-5=1 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:\:\:\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} Multiply\:the\:carry-down\:value\:by\:the\:zero\:of\:the\:denominator,\:and\:carry\:the\:result\:up\:into\:the\:next\:column: \\ 1\left(-5\right)=-5 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:-5\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:1\:\:\:\:\:\:\:\:\:\:\:\:}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} \mathrm{Add\:down\:the\:column:} \\ -15-5=-20 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:-5\:\:\:\:\:\:}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:1\:\:\:-20\:\:\:\:\:\:}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} Multiply\:the\:carry-down\:value\:by\:the\:zero\:of\:the\:denominator,\:and\:carry\:the\:result\:up\:into\:the\:next\:column: \\ \left(-20\right)\left(-5\right)=100 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:-5\:\:\:100}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:1\:\:\:-20\:\:\:\:\:\:}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} \mathrm{Add\:down\:the\:column:} \\ -100+100=0 \\ \begin{matrix}\texttt{\:\:\:\:-5¦\:\:\:\:\:1\:\:\:\:\:6\:\:\:-15\:\:-100}\\ \texttt{\:\:\:\:\:\:¦\underline{\:\:\:\:\:\:\:\:\:\:-5\:\:\:\:-5\:\:\:100}}\\ \texttt{\:\:\:\:\:\:\:\:\:\:\:\:1\:\:\:\:\:1\:\:\:-20\:\:\:\:\:0}\end{matrix} \end{gathered}[/tex][tex]\begin{gathered} \mathrm{The\:last\:carry-down\:value\:is\:the\:remainder} \\ 0 \end{gathered}[/tex]The last carry-down value is the remainder and it is 0 (zero)
Since the remainder is a zero, hence, x=-5 is a zero
Step 3: Answer question b
To get the factors, the remainder of the division in step 2 is given as:
The remaining factors of f(x) is:
[tex]x^2+x-20[/tex]STEP 4: Answer Question c
[tex]\begin{gathered} roots=(x+5)(x^2+x-20) \\ Factorize\text{ the other root to have:} \\ Using\text{ factorization methods:} \\ (x^2+x-20)=(x^2+5x-4x-20) \\ x(x+5)-4(x+5)=0 \\ (x-4)(x+5)=0 \end{gathered}[/tex]The complete factorization will give:
[tex](x+5)(x-4)(x+5)[/tex]STEP 5: Answer question d
The zeroes of f(x) will be:
[tex]\begin{gathered} zeroes\text{ of f\lparen x\rparen=?, we equate the roots to 0} \\ zeroes\Rightarrow x=-5,4,-5 \end{gathered}[/tex]zeroes are: -5,4,-5
STEP 6: Plot the graph
derek enjoys going to the movies. he budgets a month for movies. admissions for one movie cost 7.25. how many movies can he see in one month and stay within budget
Derek can watch a maximum of (M/7.25) number of movies, where $M represents his budget for movie.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.
Given is Derek who enjoys going to the movies. He budgets a month for movies and admissions for one movie cost $7.25.
Assume that the budget for movies is $M.
The cost of admission in one movie = $7.25
Suppose that Derek can watch [x] number of movies. Then, the given inequality will represent the number of movies Derek can watch -
7.25x ≤ M
x ≤ (M/7.25)
Therefore, Derek can watch a maximum of (M/7.25) number of movies, where $M represents his budget for movie.
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given the figure, find the value of y for which the quadrilateral must be a parallelogram
For the figure to be a parallelogram, then y must be equal to 12
Here, we want to get the value of y for which the the quadilateral must be a parallelogarm
Mathematically, the diagonals of a parallelogarm bisects each other
That means the lengths on either sides are equal
Mathematically, we can get two equations as follows;
[tex]\begin{gathered} 3x\text{ = y} \\ 2x\text{ + 2y = 32} \\ \text{From the second equation;} \\ 2(x+y)\text{ = 2(16)} \\ x\text{ + y = 16} \\ \text{From this, we have that;} \\ x\text{ = 16-y} \\ we\text{ can put this in the first equation;} \\ 3(16-y)\text{ = y} \\ 48\text{ - 3y = y} \\ y\text{ + 3y = 48} \\ 4y\text{ = 48} \\ y\text{ = }\frac{48}{4} \\ y\text{ = 12} \end{gathered}[/tex]Can anyone solve this, tommorow is my exam
Answer:
∠L = 113°∠O = 67°Step-by-step explanation:
Given a transversal crossing parallel lines and supplementary angles (x+8°) and (2x-5°), you want to find the measures of angles L and O, supplementary to each of these.
Consecutive interior anglesWhere a transversal crosses parallel lines, consecutive interior angles are supplementary. Using the given expressions, this means ...
(x +8°) +(2x -5°) = 180°
3x +3° = 180° . . . . . . . . . simplify
x +1° = 60° . . . . . . . divide by 3
x = 59° . . . . . . subtract 1°
Then the acute angle is ...
x+8° = 59° +8° = 67°
and the obtuse angle is ...
2x -5° = 2(59°) -5° = 113°
Relation to other anglesAngle L corresponds to angle (2x-5°), so is congruent:
∠L = 113°
Angle O is an alternate interior angle with respect to angle (x+8°), so is congruent:
∠O = 67°
Find the y intercept: y=3.5x-7
The y-intercept of the function y = 3.5x - 7 is ( 0, - 7 ).
A function is an association between inputs in which each input has a unique link to one or more outputs. Each function has a range, codomain, and domain.
Consider the function,
y = 3.5x - 7
The equation of a straight line is expressed in the slope-intercept form (a linear function). It takes the formula y = mx + b, where m is the slope, b is the y-intercept, and y and x serve as variables.
The value of y at x = 0 can be used to determine the y-intercept. The graph's intersection with the y-axis occurs at this location.
Then,
y = 3.5x - 7
y = 3.5( 0 ) - 7
y = - 7
The y-intercept of the function is ( 0, - 7).
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can someone help me i will give brainlest :) 5, 6, 7, 8 only do those one's
Answer:
5. -2 > x
6. 4 [tex]\leq[/tex] x
7. 0 [tex]\geq[/tex] x
8. -3 < x
Step-by-step explanation:
-5x8+x²+6 please help
Answer:[tex]\left(x^2+1\right)\left(5x^6-5x^4+5x^2-6\right)[/tex]
Step-by-step explanation:
n a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
We can use the sine rule to find the hole angle, and then find the golfer angle:
[tex]\frac{200}{\sin(115)}=\frac{140}{\sin (Hole)}[/tex][tex]\text{Hole Angle = }\sin ^{-1}(\frac{140\times\sin (115)}{200})[/tex][tex]\text{Hole Angle = }39.37664303\text{ degre}es[/tex]Now we can find the golfer angle:
[tex]\text{Golfer = 180 - 115 - 39.38 }\cong25.6\text{ degre}es[/tex]Answer: 25.6 degrees.
x-3/5=x+3/15 pls help
Answer: The answer is no solution because the x cancels out
Hi please help explain. Image attached. Thanks!
what is the equation of the line that passes through the point (-2, 14) and is perpendicular to the with the following equation? y = -2/5x - 1
Answer: the y = -2/5x - 1
Step-by-step explanation: hoped this help you two
How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
A. 11 m
B. 4 m
C.
D.
Answer:
√105 meters, or about 10.25 meters
Step-by-step explanation:
[tex] {x}^{2} + {4}^{2} = {11}^{2} [/tex]
[tex] {x}^{2} + 16 = 121[/tex]
[tex] {x}^{2} = 105[/tex]
[tex]x = \sqrt{105} = 10.25[/tex]
Answer:
10.246 or sqrt(105)
Step-by-step explanation:
Given,
length of the ladder = 11 m
distance of the foot of the ladder from the base of the wall = 4 m
According to Pythagoras' theorem,
(hypotenuse)^2 = (side1)^2 + (side2)^2
As per the problem,
hypotenuse = 11m
side1 = distance from wall = 4 m
side2 = height reached by the ladder on the wall
that is, (11)^2 = (4)^2 + (side2)^2
121 = 16 + (side2)^2
121 - 16 = (side2)^2
(side2)^2 = 105
(side2) = sqrt(105) = 10.246 m
Hence, the ladder can reach up to 10.246 m height on the wall.
5Eleri has this information about holiday activities.Activity SurfingTime 1 hourCost £38Activity Horse ridingTime 4 hoursCost £45Activity ClimbingTime 3 hoursCost £40Eleri wants to show this information in a table.Organise the information in a table.(1)
Organise the information in a table.
Hello I am not sure for what to do for the end of the equation.
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
Select all equations that are also equivalent to 0.6+15b+4=25.6
The equations that are equivalent to the expression are 15b = 25.6 - 4.6
and 15b =21
Solving linear equationsA two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.
Given the linear equation below;
0.6+15b+4=25.6
Simplify to have;
0.6+15b+4=25.6
15b + 4.6 = 25.6
15b = 25.6 - 4.6
15b =21
Divide both sides by 15
b = 21/15
b = 1.4
This gives the solution to the given linear equation
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-3/2 = -2/3w - 4/5 solve for w and simplify your answer as much as possible
Hello!
Here are all three solutions to the given equation.
Exact Form:
[tex]w=\frac{21}{20}[/tex]
Decimal Form:
[tex]w=1.05[/tex]
Mixed Number Form:
[tex]w=1\frac{1}{20}[/tex]
Hope this helps!
1.2.1 The number of pieces of ropes for FIVE cuts. 1.2.2 The general formula (Ta), for the number of rope pieces. 1.2.3 How many rupe cuttings will make up 153 rope pieces? 1.2.4 How many ropes pieces will result from 11 cuttings? 5 Please tu
Step 1
The number of pieces for 5 cuts is
[tex]7+4=11[/tex]Step 2
The general formula Tn, for the number of rope pieces is
[tex]\begin{gathered} a=3 \\ d=2 \\ T_n=3+(n-1)2 \\ T_n=2n+1 \end{gathered}[/tex]Step 3
How many rope cuttings will make up 153 rope pieces
[tex]\begin{gathered} 153=2n+1 \\ 152=2n \\ \frac{152}{2}=\frac{2n}{2} \\ n=76\text{ rope cuttings} \end{gathered}[/tex]Step 4
How many ropes pieces will result from 11 cuttings
[tex]\begin{gathered} T_n=2(11)+1 \\ T_n=23\text{ rope pieces} \end{gathered}[/tex]PLSSSSSS ANSWER SOON!!!!!!!
There is a pic
solve for P
Answer:
48x
Step-by-step explanation:
15+2+7+15+2+7=48 + x = 48x
Hope this helps!
This is algebra 2 (Parabola Transformation) . I have no clue on how to do this and I’m failing because of this missing assignment. Please help me. Please.
SOLUTION
Step 1 :
We are meant to graph the function,
[tex]\begin{gathered} y=-(x+2)^2\text{ + 7} \\ \text{compared with the parent function,} \\ y=x^2 \end{gathered}[/tex]Step 2 :
The Transformations are Reflection, Vertical Shift and Horizontal Shift.
Step 3 :
The vertex is at ( - 2, 7 ) and it is a maximum.
A manufacturer has been selling 1250 television sets a week at $450 each. a market survey indicates that for each $13 rebate offered to a buyer, the number of sets sold will increase by 130 per week.
The demand function of the number of sets sold will increase by 130 per week is p(x) = (-1 ÷ 13)x + 550.
Determine the coordinates of two points mostly online. Estimate the difference in y-coordinates between these two places. Estimate the difference in x-coordinates between these two places. Divide the y-coordinate difference by the x-coordinate difference.
Let p(x) denote the demand function, with x denoting the number of TV sets desired. As stated in the issue, a $10 decrease in p(x) causes a 130 rise in x. As a result, the slope of the demand function graph is -13 ÷ 130 = -1 ÷ 10.
Given p(1250) = 450,
-1 ÷ 10 = (p(x) - 450) ÷ (x - 1250)
p(x) = (-1 ÷ 13)x + 550
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the mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5000. the distribution of incomes is skewed to the right. suppose that we select samples of size 43. determine whether the sampling distribution for is normal (or approximately normal) and give its mean and standard deviation.
The sampling distribution for is normal (or approximately normal) and give its mean and standard deviation is the mean is $28520 and its standard deviation is $762.5.
The notion of mean is crucial in both mathematics and statistics. The mean is the average or most frequent value among a set of numbers. It is a statistical measure used to determine the median and mode of a probability distribution's central tendency. It's also known as an expected value. Sum of all observations divided by the total observations equals the mean. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Given information :
Mean annual income = $28540
Standard Deviation = $5000
Given sample size is n = 43
Sample size doesn't affect the mean, hence the mean remains the same
New mean = $28540
New standard Deviation = Standard Deviation / n^1/2 = 5000/ (43)^1/2
New standard Deviation = 5000/6.5574 = $762.5
Hence, The mean is $28520 and its standard deviation is $762.5
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40 ounces of granola cost $6.52 how much does a granola cost per ounce(give your answer to the nearest cent)
Answer: $0.2
Step-by-step explanation:
To find the answer you divide 6.52 by 40 which will get 0.163. To check the answer and make sure its correct you can multiply 0.163 by 40 to get 6.52 making the answer correct so 0.2 is the answer to the nearest cent. Hope this helps :)
The length and with of rectangle are consecutive odd integers. the perimeter of the rectangle is 48 meters . find the length and width of the rectangle
The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
What is perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Perimeter: 48 cm
The dimensions width and length are consecutive odd integers:
Width: x
Length: x+2
Equation:
2 [(x+2) + x] = 48
Find the width x:
2 [2x + 2) = 48
4x + 4 = 48
4x = 48 - 4
4x/4 = 44/4
x = 11 Width
Find the lenght x+2:
x+2 ⇒ 11+2 = 13 Length
The dimensions:
Width: 11 cm
Length : 13 cm
11 and 13 are consecutive odd integers.
Check:
2 (length + width) = 48
2 (13 + 11) = 48
2 (24) = 48
48 = 48
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DJ Joe wants to organize 127 CD's into storage boxes. Each storage box can hold a
maximum of 10 CD's. What is the least number of storage boxes needed?
Answer:
13 storage boxes is the least
Step-by-step explanation:
What we know:
- We have 127 cd's
- We have boxes only able to hold 10
What we need to figure out:
- how many boxes at the least are we going to need
Step 1: Divide
Since we need to figure out how many times 10 goes into 127 we divide 127 by 10 so...
127/10 = 12 with a remainder of 7.
Step 2: Figure out the remainder
Since there are seven left over and you cannot put them in boxes already being used then we put them in a new box, not yet used. That would make it a total of 13 boxes needed at the least.
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What is the distance between 3 and 15?
The most appropriate choice for distance between numbers will be given by -
Distance between 3 and 15 is 12 units
What is distance between two numbers?
At first it is important to know about number line.
A pictorial representation of real numbers has been done along a horizontal straight line. That horizontal straight line is called number line. On a number line, all the integers has been placed at equal distance apart. In between integers, fractions, decimal numbers, rational numbers and irrational numbers can be marked. Number line can be used for addition or subtraction.
Distance between two numbers indicates how far one number is situated from other number on the number line.
Here,
Distance between 3 and 15 = 15 - 3
= 12 units
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