Three decimal that sum of 114.056 is 52.2+34.15+28.5.
What is decimal?
decimal is a term that describes the base-10 number system, probably of the most commonly used the number system. The decimal number system of consists of ten single-digit numbers.
We will represent this as 1.5 pizzas in decimal form. In this case, the dot stands in for the decimal point, the number before the dot, in this case "1," represents one whole pizza, and the number after the decimal point, or the fractional part, represents the other half of the pizza. You may have seen decimal numbers similar to these while grocery shopping, on a scale, or even during a baseball game.
Sol- we have to add three decimal that have a sum of 114.056 no parts are given here.
Let's take
X+Y+Z = 114.056
We need to add any particular number here
Let's put 52+34+28
Still we need .056 extra
So we have to add points here
52.2+34.15+28.5
So these are 3 decimal point.
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PLEASE HELP, thank u
The Nya will pay $46.42 for the sweater. The decimal equivalent of a 20 percent discount is 0.20. To calculate the savings in dollars, multiply the decimal discount by the item's price. For instance, if the item's original price is $24, you would multiply 0.2 by that amount to get $4.80.
Calculation of amount paid to sweater?We have been given that Nya wants to buy a sweater that had an original price of $55. The sweater is now discounted 20%.
the price of sweater after20% discount is 55-20% of 55
The price of the sweater after discount =55-(20/100*55)
The price of the sweater after discount=55-(0.20*55)
The price of the sweater after discount=55-11
The price of the sweater after discount=44
SO The price of the sweater after discount is $44
Now let us find the price of sweater after adding 5.5% sales tax
The price of sweater after sales tax =44+(5.5/100*44)
The price of sweater after sales tax=44+(0.055*44)
The price of sweater after sales tax=44+2.42
The price of sweater after sales tax=46.42
$46.42 is paid for sweater after sales tax
Hence, The Nya will pay $46.42 for the sweater.
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515 to 103 markup percentage rate
The mark up percentage gained by the shopkeeper is 400%.
What is termed as the markup percentage rate?The markup percentage is the difference between how an item costs this same seller and what the customer pays. The greater the markup, as a percentage of a cost, the greater the profit.The markup percentage of a product is the ratio of its gross profit to its cost.It is most useful for companies that sell physical goods in industries in which prices are linked to the cost of acquiring more.The percentage of markup varies by industry as well as product. Other than discovering a price that did work for both your company and your customers, there is no golden rule.For the given question.
The cost of the item is $103.
The customer pays is $515.
The mark up percentage is -
mark up percentage = 515 - 103 / 103
mark up percentage = 4 × 100%
mark up percentage = 400 %.
Thus, the mark up percentage gained by the shopkeeper is 400%.
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Find the area of the trapezoid shown above. [?] square inches The measurements are 36in the base. 20in the height. 30 in the top.
The dimensions given are as follows;
Base a = 36
Base b = 30
Height = 20
The area is derived as follows;
[tex]\begin{gathered} A=(\frac{a+b}{2})\times h \\ A=(\frac{36+30}{2})\times20 \\ A=(\frac{66}{2})\times20 \\ A=33\times20 \\ A=660in^2 \end{gathered}[/tex]The area therefore is 660 square inches
what is 4.5=m + 2.75
4.5 = m + 2.75
Solving for m:
Subtract 2.75 from both sides:
4.5 - 2.75 = m + 2.75 - 2.75
1.75 = m
m = 1.75
Solve for x and y in the problem below. Then, find m
Given the Cyclic Quadrilateral Theorem,
Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).
Therefore,
[tex]\begin{gathered} 17x+78^o=180^o \\ 17x=180^o-78^o \\ 17x=102^o \\ x=\frac{102^o}{17} \\ x=6^o \end{gathered}[/tex]To obtain y,
[tex]\begin{gathered} 9y+6y=180^o \\ 15y=180^o \\ y=\frac{180^o}{15} \\ y=12^o \end{gathered}[/tex]Thus,
[tex]\begin{gathered} m\angle X=9y \\ =9\times12 \\ =108^o \end{gathered}[/tex][tex]\begin{gathered} m\angle V=6y \\ =6\times12 \\ =72^o \end{gathered}[/tex][tex]\begin{gathered} m\angle W=17x \\ =17\times6 \\ =102^o \end{gathered}[/tex]Therefore, the values are
m
m
m
Marcus runs triathlons (races that involve running, biking, and swimming). To prepare for these triathlons, he follows a strategy of running twice as far as he swims and biking fours times as far as he runs. If he swims for 3 miles this week, what is the total distanch of his swimming, running and biking this week?
1) Gathering the data
Strategy:
Running : 2x As he swims
Biking: 4x Runs
Runs = 3 miles
Then
2) Runs = 3 miles Swims = 6 miles Biking = 12 miles
The Total distance will be the sum of those activities:
3+6+12=21 miles
Please help! I have no idea what I’m doing and I’m super behind, I absolutely suck at math!
The function f(x) is graphed below.
(Picture below)
A) what is f(0)
B)what is f(3)
C) what is f(2)
Answer: 0, 3, 0
Step-by-step explanation:
f(a) represents the value of f(x) at x=a.
BRAINLIEST + THANK GIVEN:
A restaurant has a total of 20 tables -> Round tables that seat 2 people and rectangular tables that seat 4 people. All 70 seats in the restaurant are occupied.
write system of equation to represent this scenario.
The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
In the question ,
it is given that
the total number of tables in the restaurant = 20 tables
let the number of round tables be "x"
let the number of rectangular tables be "y" .
number of person that can seat on a round table = 2
So , the number of person that can seat on "x" round tables = 2x person
number of person that can can seat on rectangular table = 4
So , the number of person that can seat on "y" rectangular tables = 4y person
since total number of table is 20
So , the equation is x + y = 20
and total number of person that can seat are 70 seats .
So , the equation is 2x + 4y = 70
Therefore , The system of equations to represent this scenario is x + y = 20 and 2x + 4y = 70 .
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Solve for b
-73 = b/7- 81
Solve for b
-73 = b/7- 81
b= 56
-511=b-567
b-567=-511
b=-511+567
b=56
Solution 2
Add 81 to both sides.
-73+81= b/7
simplify -73+81 to 8
8=b/7
8*7=b
simplify 8*7 to 56
56=b
switch sides b= 56
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If the equation be -73 = b/7- 81 then the value of b is 56.
What is meant by Linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Solve for b
-73 = b/7- 81
b= 56
-511=b-567
b-567=-511
Hence,
b=-511+567
b=56
Solution 2
Add 81 to both sides.
-73+81= b/7
simplify -73+81 to 8
8=b/7
8*7=b
simplify 8*7 to 56
56=b
switch sides b= 56
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Which postulate would prove the triangles congruent?
Answer:
AAS
Step-by-step explanation:
Because of vertical angle theorem, angle rts and vtu are congruent. This means there are 2 congruent angles with a non-included side
The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?.
Percentage of the student body exists at least 21 years old exists 50%.
What is meant by normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
As one moves away from the center, values start to taper off and the majority of values are concentrated in this area. In a normal distribution, the mean, mode, and median are identical measures of central tendency.
When given a normal or Symmetric distribution, the mean of the distribution exists at the center with 0.5 or 50% of the distribution to either side (right and left) of the distribution.
Therefore, if the mean = 21 ; then the percentage of student body with at least 21 years is the percentage to the left of the distribution, which exists 50%.
P(x ≤ 21) = 0.5 = 50%
Therefore, 50 percentage of the student body exists at least 21 years old
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what is 17 = r - 6.7
Answer:
r = 23.7
Step-by-step explanation:
17 = r - 6.7 ( add 6.7 to both sides )
23.7 = r
URGENT 50 points
WRITE AS AN ORDER OF OPERATIONS EXPRESSION, THEN SIMPLIFY IT.
Chloe owed the bank $3500 after taking out a small loan. She currently works and
makes $24 per hour. She works for 6 hours a day. After 25 days, will Chloe still owe the
bank money?
Answer:
She will no longer owe the bank any money. She will have 100 dollars in profit.
Step-by-step explanation:
$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.
3600-3500(the amount she owed) is 100 dollars
Forty years ago, uncle Luke was 5 times
as old as his
nephew. Today, Uncle Luke is 16 yeas older than his nephew. How
old is uncle Luke now?
Answer: Uncle Luke is at 50 years old
Step-by-step explanation: I went through trial and error first with simple t-charts. In the first one, I simply implemented the piece of info that Luke was 5 times older than the nephew. But then, I realized that Luke would always be 5 years older than his nephew. Here was the info for that t-chart:
[tex]\left \{ {{N=1} \atop {L=5}} \right. \left \{ {{N=2} \atop {L=6}} \right. \left \{ {{N=3} \atop {L=7}} \right.[/tex]
Next, I tried a chart starting with the nephew at 2 years of age, and got an age gap of 8. This helped me realize that I would have to start at 4 years of age in order to have an age gap of 16
[tex]\left \{ {{N=2} \atop {L=10}} \right.[/tex] | [tex]\left \{ {{N=4} \atop {L=20}} \right. \left \{ {{N=5} \atop {L=21}} \right.[/tex] (remember there are 1 increments)
Next, I realized that N=4, L=20 was 40 years ago, so if now the nephew was 44, we can increment 16 to get 50
44+16=50
How do I get the other number and it’s bye using writing perfect-square trinomials
25
1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:
[tex](a-b)^2=a^2-2ab+b^2[/tex]2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:
[tex]\begin{gathered} -\frac{10}{2}=5 \\ (x-5)^2=x^2-2(5)(x)+5^2=x^2-10x+25 \end{gathered}[/tex]Note that the second term is 5²= 25
3) Hence, the answer is 25
Olivia purchased two blouses for $12.50 each and a shirt for $11.25.The sales tax rate is *8.5 %. How much will Olivia pay including tax?
Answer:
$39.33
Step-by-step explanation:
11.25 + 12.50 +12.50 = 36.25
36.25 + 8.5% = 39.33
pls help!!
6cm, 5cm, 9cm
Select the two values of x that are roots of this equation.3x² + 1 = 5xA. x =5+√13x = 5+√136☐ B. x =5-√136□ C. x=-1-√59X6D. X =-1+√596
3x^2 + 1 = 5x
3x^2 - 5x + 1 = 0
quadratic formula
[tex]x=-\frac{b\pm\sqrt{b^2-4ac}}{2a}[/tex]where ax^2 + bx + c = 0
so
[tex]x=\frac{5\pm\sqrt{-5^2-4(3)(1)}}{2(3)}[/tex][tex]x=\frac{5\pm\sqrt{25-12}}{6}[/tex]You can see that the 25 - 12 = 13 so the answers are A and B
w² = 32
W≈
Round to the nearest tenth as needed, us a common to separate answers as needed
Answer:
6 or 5.7
Step-by-step explanation:
w² = 32
w = root 32
w = 5.656854249
w = 6 or 5. 7
Solve the trig equation on the interval [tex]0 \leqslant theta \: \ \textless \ 2\pi[/tex][tex]3 sec \: \: theta \: - 2 \sqrt{3 } = 0[/tex]
Answer:
pi/6 and 11pi/6
Explanation
Given the trigonometry equation:
[tex]\begin{gathered} 3\text{sec}\theta\text{ - 2}\sqrt[]{3}=0 \\ \end{gathered}[/tex]Add 2\sqrt[3] to both sides as shown;
[tex]\begin{gathered} 3\sec \theta-2\sqrt[]{3}=0+2\sqrt[]{3} \\ 3\sec \theta\text{ = 2}\sqrt[]{3} \\ \sec \text{ }\theta\text{ = }\frac{2\sqrt[]{3}}{3} \\ \frac{1}{\cos \theta}=\frac{2\sqrt[]{3}}{3} \\ \cos \theta\text{ =}\frac{3}{2\sqrt[]{3}} \\ \cos \text{ }\theta\text{ = }\frac{3\sqrt[]{3}}{2\cdot3} \\ \cos \text{ }\theta\text{ = }\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]Take the cos inverse of both sides
[tex]\begin{gathered} \cos ^{-1}(\cos \theta)=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=30^0 \end{gathered}[/tex]Since theta is between 0 and 2pi
theta = 360 - 30
theta = 330^0
Convert to radians
180^0 = pi rad
30^0 = x
180x = 30pi
x = 30pi/180
x = pi/6
Similarly;
180^0 = pi rad
330^0 = x
180x = 330pi
x = 330pi/180
x = 11pi/6
Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6
A woman is training for a cycling event. In the first week she cycles 20 km. In each subsequent week, she cycles 5 km more than she cycled the previous week.
How many kilometres has she cycled in total by the end of the 18th week?
The kilometres that she has cycled in total by the end of the 18th week is 105.
How to calculate the number of kilometers?Based on the information, this is an arithmetic sequence and the formula is illustrated as
= a + (n - 1)d
where a = first term = 20
d = common difference = 5
n = numbers = 18
Therefore, the 18th term will be:
= a + (n - 1)d
= 20 + (18 - 1)5
= 20 + (17 × 5)
= 20 + 85
= 105
The number of kilometers is 105 kilometers.
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Find the measure of each angle in the diagram
The measure of each angle in the diagram is as follows:
3y + 11 = 50 degrees10y = 130 degrees(4x - 22) = 50 degrees7x + 4 = 130 degreesHow to find the angles in intersecting lines?When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.
Therefore, the measure of each angle in the diagram can be calculated as follows:
10y = 7x + 4 (vertically opposite angles)
3y + 11 = 4x -22(vertically opposite angles)
Therefore,
10y - 7x = 4
3y - 4x = -22 - 11
10y - 7x = 4
3y - 4x = -33
multiply equation(ii) by 1.75
10y - 7x = 4
5.25y - 7x = - 57.75
subtract equation(ii) from equation(i)
Hence,
4.75y = 61.75
y = 61.75 / 4.75
y = 13
Therefore,
10(13) - 7x = 4
130 - 7x = 4
130 - 4 = 7x
7x = 126
x = 126 / 7
x = 18
Therefore, the unknown angles are as follows;
3y + 11 = 3(13) + 11 = 50 degrees10y = 10(13) = 130 degrees(4x - 22) = 4(18) - 22 = 50 degrees7x + 4 = 7(18) + 4 = 130 degreeslearn more on angles here: https://brainly.com/question/18193074
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5. Identify whether each unit measures length, volume, or weight (or mass).
1.
Mile
Cup.
Pound
Centimeter
2.
3.
4.
5.
Liter
6.
Gram
7.
Pint
8.
Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
Answer:
See below
Step-by-step explanation:
Length (L), volume (V), weight(W), or mass(M)
Mile L
Cup V
Pound W
Centimeter L
Liter V
Gram M
Pint V
Yard L
Kilogram M
Teaspoon V
Milliliter V
1. Mile
2. Cup
3. Pound
4. Centimeter
5. Liter
6. Gram
7. Pint
8. Yard
9. Kilogram
10. Teaspoon,
11. Milliliter
Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?
The number of pages that Kamala needs to reach each day is p ≥ 30.
What is the number of pages that Kamala needs to read?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day can be equal to 235 or greater than 235
25 + 7p ≥ 235
Combine similar terms: 7p ≥ 235 - 25
Add similar terms: 7p ≥ 210
Divide both sides of the equation by 7: p ≥ 210 / 7
p ≥ 30
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In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
Gabrielle and Joni each wrote a fraction equivalent to 60/105 using the
greatest common factor. Gabrielle says the equivalent fraction is 12/21
Joni says the equivalent fraction is 4/7. Who is correct? Explain. Use the
GCF of the numerator and denominator of 60/105 to justify your answer.
Gabrielle is the correct one.
What are greatest common factor?The largest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for the greatest common factor. Here, greatest might be changed to highest, and factor to divisor. Therefore, the greatest common factor is often referred to as the highest common divisor )(HCD), highest common factor (HCF), or greatest common divisor (GCD.
Fractions, which are frequently employed in daily life, are almost always utilized with GCF. Finding the GCF of the denominator and numerator will allow you to obtain the necessary reduced form for simplifying a fraction or ratio. The greatest number that can divide two numbers x and y is their GCF.
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Using the numbers 8, 6, 4, and 2, write an expression that equals 6.
Answer:
6+4,8-6, 4x2,8-2
Step-by-step explanation:
a spherical snowball is melting in such a way that its volume is decreasing at a rate numerically equal to twice the surface area. how quickly is the radius of the snowball decreasing?
The radius of the snowball decreasing by -2.
What is rate?
A rate is the ratio of two related values expressed in various units. [1] If one of these numbers is used as the ratio's denominator and it is assumed that this quantity can be altered in a predictable way (i.e., is an independent variable), then the numerator of the ratio represents the rate of change in the other (dependent) variable.
Let r(t) be a function of the radius of the sphere over time.
The volume of the sphere over time is then [tex]v(t) = \frac{4}{3} \pi r(t)^3[/tex]
The rate of change of the volume is then [tex]v'(t) = 4\pi r(t)^2r'(t)[/tex]
Comparing is to the surface area of the sphere [tex]s(t) = 4\pi r(t)^2[/tex], it seems perfectly possible for the volume to decrease at a rate equal to 2s(t).
That just means that
[tex]v'(t) = -2s(t)\\4\pi r(t)^2r'(t) = -8\pi r(t)^2\\r'(t) = -2[/tex]
Therefore, the radius must shrink by two units of distance every unit of time, it is now obvious.
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owen is the owner of the french realty company. he knows that the average number of homes sold per day is one. let x be the number of homes that french realty sells tomorrow. (a) (2 pts) what is the distribution of x and its parameter(s)? (b) (2 pts) what is the standard deviation of x ? (c) (2 pts) what is the probability that x is (inclusively) within one standard deviation of the mean of x
A) distribution of x and its parameter(s) is (λ^x e^-λ ) / x!
B) standard deviation of x is 1
C) probability that x is (inclusively) within one standard deviation of the mean of x is 0.7358
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A) The poisson distribution with mean is followed by X = λ = 1
Therefore, ≈ (λ = 1)
Distribution of X is:
(λ^x e^-λ ) / x! , x = 0, 1, 2, 3 ......
B) Standard Deviation of X is :
σx = √x = 1
C) Probability of X = P (-1 ≤ x ≤ 1)
P(x = 0) + P(x = 1)
= (1⁰ e⁻¹) / 0! + 1¹ e-¹ / 1!
= 2e⁻¹
= 0.7358
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what is the Pythagorean Theorem equation for this right angle 25, 24 and 7?
The equation of the Pythagorean Theorem in the triangle is 25^2 = 24^2 + 7^2
How to determine the Pythagorean Theorem equation?From the question, the side lengths of the triangle are given as
25, 24 and 7
The Pythagorean Theorem states that:
Hypotenuse^2 = Sum of the squares of the other sides
Where
The other sides are the smaller sides
This in other words mean that:
Other sides = 24 and 7
Hypotenuse = 25
Substitute the known values in the above equation
25^2 = 24^2 + 7^2
Hence, the Pythagorean Theorem equation is 25^2 = 24^2 + 7^2
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