The maximum number of shirts in each row is 14 shirts. The result is obtained by finding the greatest common factor.
How to find the greatest common factor (GFC)?The GFC can be found by using factor trees. We will get prime factorization to determine the GFC. Here are the steps.
Make factor trees by dividing the number by the smallest prime that can divide it.Determine prime factorization.Choose the common factors and multiply them.A salesclerk is displaying 14 polo shirts and 56 team shirts. In each row, there are only one type of shirt. Find the maximum number of shirts in each row so that the length of all rows are equal!
To make the length of all rows equal, we should find the GFC of two kinds of shirts. That would be the maximum number of shirts.
See the factor trees illustration in the attachment!
The prime factorization
14 = 2 × 756 = 2 × 2 × 2 × 7The common factors are 2 and 7.
The greatest common factor is
= 2 × 7
= 14
Hence, the shirts displayed would be a maximum of 14 shirts in each row.
Learn more about GFC here:
brainly.com/question/29056044
#SPJ4
slope intercept form of 3x+2y=7
Answer:
y = -1.5x + 3.5
Step-by-step explanation:
Slope intercept form is y=mx+b.
3x + 2y = 7
2y = -3x + 7
y = -1.5x + 3.5
Answer:
-3/2x+7/2=y
Step-by-step explanation:
A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches, what is the volume of air inside the cube
The volume of air inside the cube is 1887.376 cubic inches
What is Volume?The volume of a shape or an object is the amount of space in the object
How to determine the volume of air inside the cube?The given parameters are:
Volume of the ball = 113 cubic inchesThe side length of the cube = 12.6 inchesThe volume of the cube is calculated using
Volume = (Side length)^3
Substitute 12.6 for Side length
Volume = 12.6^3
Expand the exponent
Volume = 12.6 * 12.6 * 12.6
Evaluate the product
Volume = 2000.376
The volume of air inside the cube is calculated using
Volume of the air = Volume of the cube - Volume of the ball
So, we have
Air = 2000.376 - 113
Evaluate
Air = 1887.376
Hence, the volume of air inside the cube is 1887.376 cubic inches
Read more about volume at:
https://brainly.com/question/1972490
#SPJ1
Select the correct answer. What is the approximate solution to this equation? 4lnx - 8 = 12
A. x = 148.4
B. x = 10.5
C. x = 1.61
D. x = 59,874
Answer:
Step-by-step explanation:
hello :
4lnx - 8 = 12
4lnx - 8 +8= 12+8
4lnx =20
lnx =5
coclusion : x =e^5
A. x = 148.4
PLEAS HELP I think I know the answer but im only 50% sure
x =x=x, equals
^\circ
∘
degrees
In the given diagram, the value of x is 90°
Calculating anglesFrom the question, we are to determine the value of x
In the given diagram,
Using the linear pair theorem, we can write that
x + 90° = 180°
x = 180° - 90°
x = 90°
Hence, the value of x is 90°
Learn more on Calculating angles here: https://brainly.com/question/23988182
#SPJ1
FIND THE SURFACE AREA PLSS
Answer:
BrainlyMidIsBusy Sucks
2 quick algebra 1 questions for 50 points!
Only answer if you know the answer, quick shout-out to Subtomex0, tysm for the help!
Answer:
t = 60/n
Step-by-step explanation:
The original equation we know is y = k/n
Since 12 people can assemble the set in 5 hours, when y is 5, n will be 12.
We can now input that value into the equation.
--> 5 = k/12
--> 5(12) = k/12 (12)
--> 60 = k
--> k = 60
The equation to represent the situation can be written as:
t = 60/n
and that is our final answer!
12 people can assemble in 5hours
So
y=k/x12=k/5k=60Equation
y=60/xOr
t=60/nwhat is the transformation happening
A. A 180 degree clockwise rotation about th origin follows by a translation 1 unit to right
B. A 180 degree clockwise rotation about the origin follows by a translation 1 unit to left
Answer:
A
Step-by-step explanation:
The rule for a 180 degree clockwise rotation is (-x, -y). After applying this to the figure, it must be translated one unit right to match the image.
PLS HELP!!
Reproduce the definition of theoretical probability.
Theoretical Probability = a/b
Answer:
Step-by-step explanation:
a = number of successful events
b = total number of events.
Consider the series . what is the truncation error for s3? 0.002 0.008 0.992 0.998
The truncation error for s3 is 0.008
What is Truncation error?The truncation error serves as the difference between a truncated value as well as the actual value.
This truncated quantity can be a numeral having a fixed number of allowed digits.
Therefore the value of S_3=0.008
Learn more about Truncation error on:
https://brainly.com/question/23653751
#SPJ1
A population has a mean of μ= 35 and a standard deviation of σ = 5. after 3 points are added to every score in the population, what are the new values for the mean and standard deviation?
The new values for the mean and the standard deviation are 38 and 5 respectively.
The mean of a population is given as [tex]\mu = \frac{\sum_{N}^{i}x_i}{N}[/tex] and its standard deviation is given as [tex]\sigma = \sqrt{\frac{\sum_{N}^{i}(x_i-\mu)^2}{N}}[/tex].
In the question, we are given that a population has a mean of μ = 35 and a standard deviation of σ = 5, and are asked for the new values for the mean and standard deviation when 3 points are added to every score in the population.
We let the new population formed be over the variable k.
Thus, [tex]k_i = x_i + 3[/tex], for all i from 1 to N.
Thus, the new mean can be calculated as:
[tex]\mu_k = \frac{\sum_{N}^{i}k_i}{N}\\\mu_k = \frac{\sum_{N}^{i}(x_i + 3)}{N}\\\mu_k = \frac{\sum_{N}^{i}x_i + 3N}{N}\\\mu_k = \frac{\sum_{N}^{i}x_i}{N} + 3\\\mu_k = \mu + 3\\\mu_k = 35 + 3 = 38 [Since, \mu = 35].[/tex]
Thus, the new mean is 38.
Thus, the new standard deviation can be calculated as:
[tex]\sigma_k = \sqrt{\frac{\sum_{N}^{i}(k_i-\mu_k)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i + 3-38)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i-35)^2}{N}}\\\sigma_k = \sqrt{\frac{\sum_{N}^{i}(x_i-\mu)^2}{N}} [Since, \mu = 35]\\\sigma_k = \sigma = 5.[/tex]
Thus, the new standard deviation is 5.
Thus, the new values for the mean and the standard deviation are 38 and 5 respectively.
Learn more about the mean and the standard deviation at
https://brainly.com/question/26941429
#SPJ1
The edges of a cube increase at a rate of 3 cm/s. How fast is the volume changing when the length of each edge is 40 cm?
Answer:
14400 cm³/s
Step-by-step explanation:
Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.
Rate of change of volumeV = s³ . . . . volume in terms of edge length (s)
dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time
For the given values of s and ds/dt, this is ...
dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s
What is the area of this trapezoid?
Answer:
315
Step-by-step explanation:
Working her way through college kathy works two part time jobs for a total of 22 hours a week. job a pays $6.20 per hour, and job b pays $6.50 per hour. how many hours did she work at each job the week that she made $140.60? (round to two decimal places if necessary.)
Using Algebraic equation, Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.
Let's review all the information given for solving this question:
Rate per hour of Job A = US$ 6.20
Rate per hour of Job B = US$ 6.50
Earnings received by Kathy during the week = US$ 140.60
Total time worked by Kathy during the week = 22hours
Hours at job A = x
Hours at job B = 22 -x
In order to find how many hours Katy worked at each job: This is the Algebraic equation that we'll use:
6.20x + 6.50 (22 - x) = 140.60
6.20x + 143- 6.50x = 140.60
-0.3x = 140.60 - 143
-0.3x = - 2.4
x = -(2.4)/-(0.3)
x = 14.3/0.3 = 8 (Dividing by 0.3 at both sides)
Kathy worked 8 hours at job A.
Hours at job B = 22 - x. Put x = 11 we get
Hours at job B = 22 -11
= 11
Hence, using Algebraic equation Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.
Learn more about Algebraic equation here
https://brainly.com/question/14781054
#SPJ4
what is an equivalent expression for 3(x-9) ?
[tex]\sqrt{x}[/tex][tex]\sqrt{x}[/tex]4-[tex]\sqrt{x}[/tex][tex]\sqrt{x}[/tex]7 -[tex]\sqrt{x}[/tex][tex]\sqrt{x}[/tex]4+[tex]\sqrt{x}[/tex]7 +[tex]\sqrt{x}[/tex]2
[tex]4x - 7x - 4x + 7 \sqrt{x} + \sqrt{x} [/tex]
[tex] - 7x + 8 \sqrt{x} [/tex]
10 cm
7 cm
8 cm
SA =
7 cm
2 cm
[?] cm²
6 cm
If you'd like,
you can use a
calculator.
Step-by-step explanation:
as the graphic shows, there are 2 objects : 1 block and 1 triangular shaped half-block.
the block is
7cm × 6cm × 2cm
the half-block is
8cm × 7cm × 6cm
with 10cm being the length of the tilted "roof" area.
the 2 sides facing each other are not visible to the observer, so, they are not part of the surface area of the composite figure.
let's start with the block :
top and bottom 7×2
front and back 6×2
no left (fully covered by the half-block)
right 6×7
that gives us :
2 × 7×2 = 2×14 = 28 cm²
2 × 6×2 = 2×12 = 24 cm²
6×7 = 42 cm²
in total : 94 cm²
the half-block :
top 10×7
bottom 8×7
front and back (triangles) 8×6/2
no left (due to being a half-block)
no right (fully covered by the block)
that gives us :
10×7 = 70 cm²
8×7 = 56 cm²
2 × 8×6/2 = 2×24 = 48 cm²
in total : 174 cm²
so, the complete surface area of the composite figure is
94 + 174 = 268 cm²
I need help finding values of x,y,z. I want to know if there is an answer apart from 0, since that is what I need to find. Thanks and look at the pic.
Answer:
They all equal zero
Step-by-step explanation:
A number cannot equal itself times any number that isn't zero, unless it itself is zero.
Solve the equation below by factorising.
2m? - 11m + 5 = 0
Answer:
m = [tex]\frac{1}{2}[/tex] , m = 5
Step-by-step explanation:
assuming you mean
2m² - 11m + 5 = 0
consider the product of the factors of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × 5 = 10 and sum = - 11
the factors are - 10 and - 1
use these factors to split the m- term
2m² - 10m - m + 5 = 0 ( factor the first/second and third/fourth terms )
2m(m - 5) - 1(m - 5) = 0 ← factor out (m - 5) from each term
(m - 5)(2m - 1) = 0 ← in factored form
equate each factor to zero and solve for m
2m - 1 = 0 ⇒ 2m = 1 ⇒ m = [tex]\frac{1}{2}[/tex]
m - 5 = 0 ⇒ m = 5
If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y
Answer:
y = 60
Step-by-step explanation:
Step 1: Make sense of the given"The ratio of y to x is 3"
This means that, [tex]y\div x=3[/tex]
"The sum of y and x is 80"
This means, [tex]x+y=80[/tex]
Step 2: Make use of the factsIf [tex]y\div x=3[/tex], then [tex]y = (3*x)[/tex].
We can plug this into the other equation by substitution:
[tex]x + (3 * x)=80[/tex]
This simplifies to:
[tex]4x = 80[/tex]
Which we can solve out and get:
[tex]x=20[/tex].
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "[tex]y = (3*x)[/tex]".
And now we substitute the value of x, into this.
[tex]y = (3 * (20))[/tex]
By solving this out, we get:
[tex]y=60[/tex]
So, the value of y is 60.
3. Find the missing side lengths. Leave the answers as radicals in simplest form.
Answer:
x = y = 6.5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the triangle is isosceles, both base angles are 45° then the 2 legs are congruent , that is x = y
using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 13[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = y = 6.5[tex]\sqrt{2}[/tex]
Create a coordinate proof to show that the two triangles are congruent by the SSS Triangle Congruence Theorem.
For a person to be able to create a coordinate proof to show that the two triangles are congruent by the SSS Triangle Congruence Theorem one can simply use the distance formula.
How can the distance formula prove SSS Triangle Congruence Theorem?Given that the distance formula =
[tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]
Let say that Angle ABC has the vertices of A (-4, -2), B (-5,1). C (0,2) and Angle DEF has the vertices of D (7, -4), E (4,-5), F (3,0)
So lets prove it:
AC = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]
=[tex]\sqrt{(-4-0)^2 + (-2-2)^2}[/tex]
=[tex]\sqrt{32}[/tex]
= 4[tex]\sqrt{2}[/tex]
Do the same for DF:
DF = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1}^{2} )}[/tex]
= [tex]\sqrt{(7-3)^2 + (-4-0)^2}[/tex]
=[tex]\sqrt{32}[/tex]
= 4[tex]\sqrt{2}[/tex]
Looking at the above, one can see the values are the same and as such this proves that AC is the same to DF. If you do the same for the other part of the angles, you will see that they are congruent.
Therefore, For a person to be able to create a coordinate proof to show that the two triangles are congruent by the SSS Triangle Congruence Theorem one can simply use the distance formula.
Learn more about congruent Angle from
https://brainly.com/question/2938476
#SPJ
Sheree’s brother gave samuel his collection of stamps when she left for college. at that time, the value of the collection was $420. eight years later, the stamp collection was worth $980. what is the rate of change?
The rate of change of stamp collection was $57.5 per year.
Rate is comparison of two related quantities.
Often the second quantity is time (per second, per hour, etc) but it can be anything.
Can be in the style "this per that" or as a single number calculated using division.
Example: Sam makes 3 pancakes every 6 minutes, that is a rate of:
• 3 pancakes per 6 minutes
• 0.5 pancakes per minute
• 30 pancakes per hour
• an hourly rate of 30
By formula the rate of change = Change in cost/ Time taken
=( $980 - $420)/ 8years
= $460/ 8 years
= $57.5 per year
Thus the rate of change of stamp collection was $57.5 per year.
Learn more about rate here :
https://brainly.com/question/12786410
#SPJ4
Find the volume of the composite figure. Round to the nearest tenth if necessary.
The volume of the composite figure shown in the picture is equal to 375 cubic meters.
What is the volume of the composite figure?
The volume is the space occupied by a solid, the volume of the composite figure is sum of the volumes of the two elements, the one is a square prism and the other, a triangular prism. The volume of the entire figure is:
V = (5 m)² · (13 m) + (1/2) · (5 m)² · (4 m)
V = 375 m³
The volume of the composite figure shown in the picture is equal to 375 cubic meters.
To learn more on volumes: https://brainly.com/question/1578538
#SPJ1
Paul has four paper strips of the same length. He glues two of them together with 4 cm overlap, and the new strip is 36 cm long. He wants to make a 30cm long strip with the other two strips how long should the overlap be?
Answer:
maybe the answer ris 36×4 and then 30×4 and subtract the result?!?!
can someone explain?
Answer: K
Step-by-step explanation:
I. Correct. When t=0, h=c, so if you alter the value of c, the h-intercept changes.
II. Correct, the maximum value of [tex]-at^2 +bt[/tex] will stay the same, but you are changing c, which is the amount you are always adding to it, meaning the maximum will change.
III. Correct. If you plug into the quadratic formula setting h=0, it is easy to see changing the value of c will change the solutions.
The correct statement regarding the quadratic function is:
K. I, II and III.
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
If a > 0, it has a maximum value, and if a < 0, it has a minimum value.
The extreme value is [tex](x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{\Delta}{4a}[/tex][tex]\Delta = b^2 - 4ac[/tex]The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In this problem, we have a function h(t). Changing the coefficient c, the h-intercept h(0) changes. Looking at the formulas in the bullet point, the value of [tex]\Delta[/tex] changes, meaning that both the maximum value [tex]y_v[/tex] and the t-intercepts [tex]t_1[/tex] and [tex]t_2[/tex] will change, so option K is correct.
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1
Find the surface area of the prism. Round to the nearest tenth if necessary. please help!!
Answer:
72
Step-by-step explanation:
This shape is a prism; it's a 3-D shape with 6 sides. Basically, it's a box.
All 6 sides are rectangles.
Surface area means that we'll find the area of all 6 rectangles and add them up.
There's a front and back, left and right, and a top and bottom.
The area of a rectangle is length×width or base×height.
The front and back are identical.
Area = length×width
Area = 6×3 = 18
Since the front and back are the same, two of the rectangles have area = 18.
The left and right are the same:
Area = 3 × 2
Area = 6
Two faces have area = 6.
The top and bottom are the same.
Area = 6 × 2
Area = 12
Again, two faces have area = 12.
To find the total surface area, add up all 6 areas.
A =18+18+6+6+12+12
A = 72
Find the length of side DF
The length of side DF is 3.75.
Given that within the figure there are two triangles that are similar.
Congruent triangles will be triangles that have a comparable measure and shape. This infers that the comparing sides are comparable and the relating focuses are equivalent.
Two comparative triangles are given.
If two triangles are comparable at that point their comparing sides are relative and comparing points are congruent.
DF/AB=EF/BC
Substitute the values from the given figure
DF/15=6/24
Cross multiply both sides, and we get
DF×24=6×15
DF×24=90
Divide both sides by 24, we get
(DF×24)/24=90/24
DF=15/4
DF=3.75
Hence, the length of side DF from the given figure is 3.75.
Learn more about congruent triangles from here brainly.com/question/1675117
#SPJ1
What is the range of possible sizes for side x?
Answer:
Should be 3.9
Step-by-step explanation:
prove me wrong
Solve for x |2x+1|=-13
Answer:
no solution
Step-by-step explanation:
Your question is in the form:
absval of something
= a NEGATIVE number
The absolute value is always positive. So it can never be negative.
There are no values that x can be that will make this math sentence true.
It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.
What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method?
O to use algebraic methods to solve geometric problems
O to prove the universe was Sun-centered
O to represent equations for the queen of Sweden
O to prove his own existence
The purpose of the coordinate graphing system described by Descartes in his book "Discourse on Method" is to use algebraic methods to solve geometric problems. That is option A.
What is coordinate graphing system?The coordinate graphing system is used on graphical systems to describe the relationship or location between two points on different axes such as X and y axis.
According to Descartes in his book "Discourse on Method" he developed a connection between Algebra and geometry.
Therefore, the main purpose for the coordinate graphing system is to use algebraic methods to solve geometric problems.
Learn more about geometry here:
https://brainly.com/question/19241268
#SPJ1
Answer:
The answer that you are looking for is A.
Have a great day!
Step-by-step explanation:
Please mark me brainliest!