Therefore, there are 12 bandages in 2 boxes, which is the answer to the unitary method presented problem.
What is a unitary method?The term "unitary" refers to a single or separate unit or variable . As a result, this strategy's objective is to establish values in terms of a single unit. For instance, if a car travels 44 kilometres on two litres of gas, the unitary technique can be used to determine how many kilometers it will drive on one.
Here,
Given: Each box of bandages has three packs, with two bandages in each pack.
Now, determine how many bandages there are in two boxes.
Therefore, we solve using the unitary method:
One pack contains two bandages.
In 3 packs, there are therefore = 2*2 = 6 bandages.
One box contains three packs as stated.
Consequently, we multiply 2 by 6 to obtain the bandages in 2 boxes:
=> 2 * 6 = 12
Therefore, there are 12 bandages in 2 boxes, which is the answer to the unitary method's presented problem.
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How many five ounce glasses of wine have the same alcohol content as one 12-ounce beer? responses one one two two three three four
A total of 3 five ounces glass are needed so have the same alcohol as that of a 12 ounce glass.
In order to find the number of glass of capacity five ounces that will have the same capacity as that of the twelve ounce glass can be calculated as followed,
Let us say that n number of five ounces glasses are required to equate 12 ounce glass.
Now, we can write the relation,
using simple algebra,
n(Five ounces glasses) = 1 Ounce alcohol content
n = 12/5
n = 2.4
But, we have to answer an integral value, so, we will say that the required number of the glasses is 3.
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50 POINTS. WILL MARK BRAINLIEST. Write a short paragraph describing the career and music of one of the following composers. Be as specific as possible. (5 pts.)
a. Hildegard von Bingen
b. Guillaume de Machaut
The Saint Hildegard of Bingen stood out in the Middle Ages for her great knowledge in different fields and her extensive written production.
Who was Hildegard von Bingen?Saint Hildegard of Bingen (1098-1179), was a German nun belonging to the Order of Saint Benedict who stood out for performing multiple functions, among which are:
ComposerWriterPhilosopherScientificAmong other.Hildegard stood out for being one of the most influential personalities of the Late Middle Ages due to her remarkable intelligence and culture that led her to be one of the most productive writers of her time and to develop varied knowledge of natural history.
Much of her work (including her musical compositions) is found in her best known work called "Wiesbanden Codex" or "Riesencodex".
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The parallelogram shown below has an area of 15 units squared.
Answer:
Step-by-step explanation:
The area formula of a parallelogram is the same as the area formula of a rectangle, it is A=bh.
Given that area is 15 units, A = 15.
On the graph, we can see that base is 3 units. b = 3.
plug in the values into the formula,
[tex]15 = 3 * h\\h = 15 / 3 = 5[/tex]
To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C
Answer:
135.5 m
Step-by-step explanation:
Given a triangle with angles A=46°, B=103°, and side c=97 m, you want to find the length of side 'a'.
Law of SinesGiven one side and two angles we can solve the triangle using the Law of Sines:
a/sin(A) = b/sin(B) = c/sin(C)
In order to do that, we need to have a (side, angle) pair, so we need to find the measure of angle C.
A + B + C = 180°
46° +103° +C = 180° . . . use the given measures
C = 31° . . . . . . . . . . . . . subtract 149°
Now, we can find 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = (97 m)·sin(46°)/sin(31°) ≈ 135.477286 m
The distance from B to the tree at C is about 135.5 meters.
Jeremiah used 87 neon stars to make his wizard costume for Halloween. He used several of the stars on the hat. He used 2 more than 3 times as many stars on the cape as on the hat. How many stars are on Jeremiah's cape if he saved on star for the top of his wand?
Answer:
There were 65 stars on his cape.
Step-by-step explanation:
So, there are 87 neon stars in total, and we are using 1 star for his wand, so there are 86 stars left on his cape and hat. We'll label the hat as h.
The stars are 2 more then 3 times the stars on his cape, plus the stars on his hat, so the equation is:
4h+2=86
4h=84
h=21
21x3+2=65
Answer:
There were 65 stars on his cape.
Step-by-step explanation:
So, there are 87 neon stars in total, and we are using 1 star for his wand, so there are 86 stars left on his cape and hat. We'll label the hat as h.
The stars are 2 more then 3 times the stars on his cape, plus the stars on his hat, so the equation is:
4h+2=86
4h=84
h=21
21x3+2=65
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. • The equation that relates Runner #2’s distance (in miles) with time (in minutes) is `t=8. 5d`. Find the slope/rate of ch
If the equation that relates the Runner 2’s distance (in miles) with time (in minutes) is [tex]t=8.5d[/tex] then the slope/rate of change of Runner 2 is 8.5 minutes for 1 mile .
The three runners are training for the marathon ,
The equation that relates the Runner 2’s distance (in miles) with time (in minutes) is ⇒ [tex]t=8.5d[/tex] ,
to cover the distance of 2 miles Runner2 will take [tex]t= 8.5 \times 2[/tex] minutes ;
So , [tex]t=17[/tex] minutes ;
the first point will be (2,17) .
and to cover the distance of 4 miles the runner 2 will take [tex]t= 8.5 \times 4[/tex]
So , [tex]t=34[/tex] minutes ;
the second point will be (4,34) .
we have to find the rate of change/slope of runner 2 ,
that can be written as : [tex]Slope = \frac{34-17}{4-2}[/tex]
On simplifying ,
we get ;
[tex]Slope = \frac{17}{2}[/tex] ;
So , [tex]Slope = 8.5[/tex].
Therefore , the rate of change of Runner 2 is 8.5 .
The given question is incomplete , the complete question is
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. The equation that relates the Runner 2’s distance (in miles) with time (in minutes) is "t = 8.5d". Find the slope/rate of change of Runner 2 ?
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Alyssa owns a small business selling bagels. She knows that in the last week 2 customers paid cash, 62 customers used a debit card, and 77 customers used a credit card. If next week, she is expecting 400 customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.
Answer:
176
Step-by-step explanation:
2+62+77= 141
62/141
400 x 62/141 = 175.8
=176
What is the value of X?
Answer:
X=9
Step-by-step explanation:
A circle adds up to 360°
63+89+73= 225
360-225= 135
Since 15x
135÷15=9
x=9
City Fitness, a popular gym, currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of
1
4
each year.
Write an exponential equation in the form y=a(b)x that can model the number of members, y, in x years.
The growth in x years for the gym will be represented as [tex]y = 840(1.25)^x[/tex].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
City Fitness, a popular gym currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of 1/4.
The expression can be written as,
[tex]y = 840(1.25)^x[/tex].
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33
Problem 2
m, p, and z represent the lengths of the three sides of this right triangle.
m
i
Z
Р
Select all the equations that represent the relationship between m, p, and z.
On solving the provided question, we can say that since it it is right angled triangle so the relation that be formed is [tex]m^2 = p^2 + z^2[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
since it it is right angled triangle
so the relation that be formed is
[tex]m^2 = p^2 + z^2[/tex]
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Use synthetic division to find all the real zeros of the polynomial.
f(x) = x³ + x² - 8x - 6
so hmmm we look at hmm x³ + x² - 8x - 6 so how do squeak out a factor out of it, well, using the rational root test and using our p/q checking for factors, we find that likely factors can be ± 6/1 and ±(3, 2, 1) / 1, anyhow so we check some of those and hopefully without boring you to death we find that -3 works, we can always use the remainder theorem to check if that's true, by simply plugin in f(-3) and if it's indeed a factor, that'd give us 0, well, f(-3) = -27 + 9 +24 +6 = 0, holly smokes!! is a factor.
well, all that jazz means that -3 is a factor, namely the factor is really x = -3 or x + 3 = 0 so the factor is (x+3) and for our synthetic division we'll use the -3 version, Check the picture below.
so we end up with the factors of (x+3)(x²-2x-2), now for the 2nd factor what we can do to break it up is use the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-2}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]x= \cfrac{ - (-2) \pm \sqrt { (-2)^2 -4(1)(-2)}}{2(1)} \implies x = \cfrac{ 2 \pm \sqrt { 4 +8}}{ 2 } \\\\\\ x= \cfrac{ 2 \pm \sqrt { 12 }}{ 2 }\implies x=\cfrac{2\pm\sqrt{2^2\cdot 3}}{2}\implies x=\cfrac{2\pm 2\sqrt{3}}{2}\implies x=1\pm\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} (x+3)(x-1+\sqrt{3})(x-1-\sqrt{3}) \end{array}}~\hfill[/tex]
now, just to clarify, all those are real roots, and the last two come from simply setting x = 1 ± √3 to 0 to get the factors.
Enter your answer and show all the steps that you use to solve this problem in the space provided in the triangle there is a 72° c113° write a list of steps that are needed to find the measure of b
The steps for measuring the angle b is shown below, <b= 41.
What is Exterior angle Property?If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
If an equivalent angle is measured at each triangle vertex, the exterior angles always add up to 360 degrees.
Given:
exterior angle = 113
and, opposite interior angle =72
Using Exterior angle property we have
72 + b = 113
Subtract 72 from both side
72 + b -72 = 113 -72
b = 113- 72
b = 41
Hence, the measure of b is 41 degree.
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Freemont Run Club surveyed a random sample of 303030 of their members about their running habits. Of the members surveyed, 999 said that they run more than 555 days a week. There are 848484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 555 days a week?
Answer:
the answer is 25 according to Khan
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
80/89 (I messed it up with sine sorry :)
Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
You have 12 books and you want to put 8 on a shelf in your room. Order does not matter to you. How many ways can you put 8 books on the shelf?
a. 495 ways
b. 19,958,400 ways
Answer:
I took the Quiz and got 19,958,400 ways wrong from the previous answer the real answer is 496 ways
Step-by-step explanation:
The number of different ways that you can put 8 books on the shelf will be 495.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Then the combination is given as,
⇒ ⁿCₐ
Where n is total sample and a is the selected sample from n.
You have 12 books, and you want to put 8 on a shelf in your room.
Order does not matter to you.
Then the number of different ways that you can put 8 books on the shelf will be
⇒ ¹²C₈
⇒ 12! / [(12 – 8)! x 8!]
⇒ 12 x 11 x 10 x 9 x 8! / (4 x 3 x 2 x 1 x 8!)
⇒ 11 x 5 x 9
⇒ 495
Thus, the number of different ways that you can put 8 books on the shelf will be 495.
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A triangle has sides with lengths that are
consecutive even integers. The perimeter of the
triangle is 72 centimeters. Sketch the triangle
and label the lengths of the sides, using the
variable. Find the length of the largest side.
Show work
The largest side of the length is 26cm.
Now, According to the question:
Three consecutive even numbers can be expressed in terms of n. If n is an even number then,
(n -2), (n), (n + 2)
are three consecutive even numbers.
Therefore,
(n -2)+ (n)+ (n + 2) = 72cm.
We can simplify so...
3n + 2 - 2 = 72 cm.
3n + 0 = 72 cm.
3n = 72cm.
Divide both sides by 3 to solve for n
n = 24 cm.
24 is an even integer. Input 24 into the original equation.
(n -2)+ (n)+ (n + 2) = 72cm.
(24 - 2) + 24 + (24 + 2) = 72cm
22 + 24 + 26 = 72
72 = 72
Hence, The largest side of the length is 26cm.
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HELP ME PLEASE . THESE ARE RATIONAL NUMBERS BTW.
Answer:
15. -3 1/4
16. -4 1/2 OR -4 2/4
17. 1 1/4
18. -5 3/4
19. 1/2 OR 2/4
20. -2 1/2 OR -2 2/4
Step-by-step explanation:
Answer:
15) -3.25
16) -4.5
17)1.25
18)-5.75
19).5
20)-2.5
a) which group has lower mode.
b) what is this mode?
The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.
You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.
In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.
In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.
4 is less than 5, which means that the answer to this question would be Group A.
Can you help me with this
Answer:
m = 2
Step-by-step explanation:
Slope = rise / run or (y2 - y1) / ( x2 - x1)
Let's pick 2 points (0,0) (1,2)
We see the y increase by 2 and the x increase by 1, so the slope is
m = 2
Make
x
the subject of the formula
a = bx + c
Answer: x = a/b - c
Step-by-step explanation:
First divide by b on each side to get the x by itself.
Then subtract c from both sides to make x the subject of the formula.
Step-by-step explanation:
a = bx + c
the goal is to get to a form with "x = ...".
a - c = bx
(a - c)/b = x
done.
Question 5 Jing will spin the spinner below 100 times. How many times do you expect it will land on B? СВ A A СА
Radicals help please
√6/3 is the value after rationalization of √2/√3
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √2/√3
Square root two divided by square root three.
We need to rationalize the denominator
To rationalize multiply numerator and denominator by √3
√2/√3×√3/√3
√2×3/3
√6/3
Hence, √6/3 is the value after rationalization of √2/√3
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Torrin rode his bike to school at 13. 5 km/h. He returned home using the same route at 10. 5 km/h. Torrin took a total of 36 min to ride to school and back. Express your answer to the nearest hundredth. A) how many minutes did torrin take to ride to school? B)how far is it from Torrins house to school?
To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.
Let v₁ = 13.5 km/h the speed to school
v₂ = 10.5 km the speed returning home
t = the time of the ride to school in minutes
36 - t = the time of the ride from school in minutes
Since, distance = speed × time
⇒v₁ × t/60 = v₂ × (36 - t)/60
⇒13.5 × t/60 = 10.5 × (36 - t)/60
⇒t = 15.75 min
Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.
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The first term of a sequence is 13 The term -to-term rule is take away 5 work out the 4th term
Answer:
a₄ = - 2
Step-by-step explanation:
to calculate a term in the sequence subtract 5 from the previous term
give first term a₁ = 13 , then
a₂ = a₁ - 5 = 13 - 5 = 8
a₃ = a₂ - 5 = 8 - 5 = 3
a₄ = a₃ - 5 = 3 - 5 = - 2
Dose anyone know the answer??
In any function y = f(x) , set of all possible values of x define the domain of f(x), in the graph The curve in terms of x-axis(in 1st & 3rd quadrant) goes from -4 to -2(doesnt include -2).
So domain = [-4, -2)
Similarly, in 2nd and 4th quadrant, for x-axis
It goes from 2 to 5 (doesnt include 2 & 5)
So domain = (2, 5)
Hence,
Domain of the f(x) is [-4, -2) U (2, 5).
Range tells the possible values of y, for this function it goes from -5 to +3(doesnt include 3).
Range is [-5, 3)
15mm out of 5cm?please explain
Answer:
15 mm have 1.5 cm.
Step-by-step explanation:
1 mm = 0.1 cm
1 cm = 10 mm
5 cm have 50 mm
and
15 mm have 1.5 cm.
What is the reflection of point 2/3 about y-axis?
When reflected in the y-axis, the image of the point (2/3) is (-2/3).
The sign of the x coordinate changes when a point is mirrored on the y-axis.
When a figure is built around a single point known as the point of reflection or the figure's centre, a reflection point results. There is an exact opposite point on the other side of each point in the figure. The shape and dimensions of the figure remain unchanged underneath the point of reflection.
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).
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What is equivalent to 4 6?
The fraction which is equivalent to 4/6 is 8/12 as asked in the question.
2 x 4 = 8 and
3 x 4 = 12
Therefore, they satisfies the condition of an equivalent numbers.
Equivalent numbers are those which on reducing to it's lowest terms gives the same number.
Other example , 2/4 is equivalent number to 8/16 .
Equivalent fractions are those fractions which has different numerators and denominators but the same value when reduced to their lowest terms. For, example 2/4 and 3/6 are comparable fractions because they both equal 12.
A fraction is a portion of a number written in terms of numerator and denominator. Equivalent fractions represent the same percentage of the whole.
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The measures of two angles of a triangle are given below. Find the measure of the third angle of the triangle in decimal form.
28.5°, 104.25°
Lucia le cuenta una noticia a 3 amigas a la hora 12. Cada una de ellas se le comunica a 3 personas en los siguientes 10 minutos. Si este procedimiento continua cuantas personas se han enterado de la noticia hasta las 12:30?
Answer:
81 personas
Step-by-step explanation:
Lucía les cuenta una historia a 3 amigos a la hora 12.
Cada uno de ellos se comunica a 3 personas en los próximos 10 minutos.
a) Primeros 10 minutos
1 amigo = 3 personas = 10 minutos
3 amigos = x
Multiplicar cruzada
x = 3 × 3 personas = 9 personas
Por lo tanto, 9 personas han escuchado la historia en 10 minutos.
Si este trámite continúa, ¿cuántas personas han escuchado la noticia hasta las 12:30?
12: 30 - 12:00 = 30 minutos más
10
Por eso,
b) Segundos 10 minutos = 20 minutos
9 personas cada uno le dice a 3 personas en otros 10 minutos
1 persona = 3 personas
9 personas = x
Multiplicar cruzada
x = 9 × 3 personas
x = 27 personas
c) Los últimos 10 minutos = 30 minutos
1 persona = 3 personas
27 personas = x
Multiplicar cruzada
x = 27 × 3 personas
x = 81 personas
Por lo tanto, a los 30 minutos, 81 personas habrían escuchado la noticia a las 12:30