Answer:
She is 60 years old
Step-by-step explanation:
The first thing we can do is convert each fraction to have a common denominator. The LCM of 5, 3, and 4 is 60.
[tex]\frac{1}{4} =\frac{15}{60}[/tex]
[tex]\frac{1}{3} =\frac{20}{60}[/tex]
[tex]\frac{1}{5} =\frac{12}{60}[/tex]
Add the numerators:
[tex]15+12+20=47/60[/tex]
Meaning that the time she lived in Switzerland is the remaining 13/60, and since she lived there for 13 years that means she lived for a total of 60 years because the numerator and denominator both equal 60.
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Answer:
Teresa is 60 years old------------------------------
Let the age of Teresa be x.
Set up equation:
x(1/4 + 1/5 + 1/3) + 13 = xMultiply both sides by 3*4*5 = 60 to clear fraction:
x(60/4 + 60/5 + 60/3) + 13*60 = 60xx(15 + 12 + 20) + 780 = 60x47x + 780 = 60x60x - 47x = 78013x = 780x = 780/13x = 60what is the value of the expression 9(5)-x/y
when x= 15 and y=3
a.)5
b.)10
c.)15
d.)20
Answer:
(B) 10
Step-by-step explanation:
x = 15
y = 3
---------------------------------
9(5) - x / y =
45 - 15 / 330 / 310 (B)The value of the given expression [tex]\dfrac{9(5)-x}{y}[/tex] is 10 when x = 15 and y = 3. So, the correct answer is (b) 10.
An expression is a combination of numbers, variables, mathematical operations, and many more.
To obtain the value of the given expression, the values of x and y will be inserted in the expression and the concepts of PEMDAS will be used.
Let's assume that the given expression is as follows:
[tex]z = \dfrac{9(5)-x}{y}[/tex]
Substitute x = 15 and y = 3 in the given expression:
[tex]z = \dfrac{9(5)-x}{y}\\z = \dfrac{9(5)-15}{3}\\z = \dfrac{45-15}{3}\\z = \dfrac{30}{3}\\z = 10[/tex]
Therefore, option (d) is correct, i.e., for x = 15 and y = 3, the value of the given expression is 10.
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Brainliest if correct
Answer:
3/8 & 4/8
Step-by-step explanation:
1/2 - 1/8 = 4/8 - 1/8 = 3/8
x - 1/8 = 3/8
x = 4/8
what is 613157 rounded to the nearest hundred thousand
Answer:
600,000
Step-by-step explanation:
Your answer would be 600,000 because in the hundred thousands place there is a 6.
And that 6 in the hundred thousands place is asking the ten thousands place for help also the digit in the ten thousands place is a 1.
So if you know the rule the 6 can't round up because the 1 is below 4./the rule is 4 and below keep it low 5 or more give it one more.
Ok so the 1 is below 4 and can't bring 6 up so 6 has to stay in it's lane at 600,000
Hope this helps have a great afternoon:)
Answer:
Its 600000
Step-by-step explanation:
Hundred thousand refers to 6 numbers so we look at the number after 6 and its less than 5 so we round it back to 0
2. What is the surface area of the rectangular prism? (1 point)
5 mm
4 mm
21.5 mm
O480 mm
0427 mm
213.5 mm2
255 mm2
Coach Lopez wants to divide his soccer team into smaller, equal-sized groups of players for practice He notices that he can divide his team evenly into groups of 3 Complete the statements below about the number of players on Coach Lopez's team en form smaller equal-size groups because the number of students on his team is the number of players on the team has factors ould possibly have ✓ players on his team 19 21 or 23
Answer: Coach Lopez wants to divide his soccer team into a smaller, equal-sized group of players for practice. He noticed that he divided his team evenly into groups of 3.
Coach Lopez can form smaller equal-sized groups because the number of students on his team is a prime number.
This means that the number of players on the team has three factors.
Coach Lopez could possibly have 12 players on his team.
What is the area of this figure
• 58m2
• 68m2
• 90m2
• 98m2
Answer:
[tex]\huge\boxed{\sf 58\ m\²}[/tex]
Step-by-step explanation:
The figure is made up of two rectangles.
Larger rectangleSmaller rectangleArea of the larger rectangle:
Length = 5 m
Width = 10 m
= Length × Width
= 5 × 10
= 50 m²
Area of smaller rectangle:
Length = 4 m
Width = 2 m
= Length × Width
= 4 × 2
= 8 m²
Area of the figure:
= Area of larger rectangle + Area of smaller rectangle
= 50 + 8
= 58 m²
[tex]\rule[225]{225}{2}[/tex]
Con los datos que proporciona Alicia te da el número complejo z2=-2-2i. Debes obtener el opuesto, el conjugado y el afijo?
Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Definición de número complejoLos números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.
Esto es: z= a +bi
donde:
a es un número real. b es la parte imaginaria. i es la unidad imaginaria. Opuesto de un número complejoDado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.
Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.
Conjugado de un número complejoDado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.
Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.
Afijo de un número complejoLos números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)
Opuesto, conjugado y afijo de z=-2-2iConsiderando las correspondientes definiciones:
el opuesto es z= 2 +2iel conjugado es z= -2+2iel afijo es: (-2,-2)Aprende más sobre números complejos:
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i don’t know how to solve for this
SOH CAH TOA
Opposite is 7
Y is the hypotenuse - longest side
So, x is the adjacent
Find y first, we've got opposite & hypotenuse
=> SOH or Sin
Sin(30) = o/h
Sin(30) = 7/h
x h
h x sin(30) = 7
÷ Sin(30)
H = 14
Pythagoras' Theorem: a^2 + b^2 = c^2
(which I've already rearranged, to find value of x)
Square root of 14^2 - 7^2 = 7 root 3.
Thus, the missing lengths should be 14 and 7 root 3.
The answer is:
y = 14
x = 7 root 3
(root => a square root)
Hope this helps!
Write the inequality shown in the diagram on the left.
Answer:
x<3
Step-by-step explanation:
The answer is x<3.
If the point were filled it would be one of these for example ≥
Determine whether the graph below is that of a function by using the vertical-line
test. If it is, use the graph to find
(a) its domain and range.
(b) the intercepts if any.
(C) any symmetry with respect to the x-axis, y-axis, or the origin.
What is the equation of the blue line?
Answer:
y = 1/4x + 1Step-by-step explanation:
There will be a +1 becuase the lines y intercept is +1.
We can then take two points on the line and then find the slope through them.
(0,1) and (4,2). 4-0 and 2-1.
4 and 1. The slope is 1/4.
y = mx + b
y = 1/4x + 1
Carly spends 9 hours each day working at her job. What percentage of her day does she spend at work?
Answer: 37.5%
Step-by-step explanation:
Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in 30 seconds. The other car travels around the track in 50 seconds. If both cars start from the same place, how long will it take for them to meet at the same place if they continue to race?
Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
What is the time?
Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
Here given that,
Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.
Case 1 :-
Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.
Case 2:-
Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.
Combining case 1 and case 2, we get
[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]
Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
To know more about the time
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please answer the question I give you 50 point
Answer:
First, you find the volume of each box
Volume = Length * Width * Height
Box A
V = 13 * 40 * 5
V = 2600 cm^3
Box B
V = 8 * 10 * 25
V = 2000 cm ^3
Box C
V = 11 * 20 * 30
V = 6600 cm ^3
Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used
The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)
The total volume of the boxes together can be found with simple addition
2600 + 2000 + 6600 = 11200 cm ^3
Joe surveyed a random sample of people at a
movie theater one day to determine whether more
people preferred action movies or comedies. Of
the 11 people surveyed, 35.5% preferred action
movies. Based on this information, about how
many of the 350 people attending the theater that
day would be expected to prefer action movies?
Answer:
124
Step-by-step explanation:
350 times 35.5% = 124.25 and obviously .25 of a person cant go to a movie so you round down to 124.
A prism is completely filled with 80 cubes that have edge length of 1/2 cm
What is the volume of the prism?
Enter your answer in the box.
cm3
The answer is 40cm in cube 3
Which triangle has hypotenuse Side B F?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BFE
triangle BFH
triangle BFD
triangle BFG
PLEASE HELP!
Answer:
BFG
Step-by-step explanation:
The segment BF is the diagonal of the top face of the cube (GBCF)
Therefore, it is the hypotenuse of ΔBFG and ΔBFC
See attached diagram for visual of the cube.
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)
Part B: What are the initial value and slope of the graph, and what do they represent?
Step-by-step explanation:
Part ALet the triangles be ADC and BEC.
Point D has coordinates of (0, 154), point E has coordinates of (0, 110).
The triangles have dimensions as belowΔADC
⇒ base AD = 2, height DC = 154 - 66 = 88The slope of AC
⇒ m = DC/AD = 88/2 = 44ΔBEC
⇒ base BE = 1, height EC = 110 - 66 = 44The slope of BC
⇒ m = EC/BE = 44/1 = 44As we can see the slopes are equal
Part BThe y-intercept or initial value is represented by the point C and has coordinates of (0, 66)
The line is:
y = 44x + 66The initial value is the depth of 66 m where the shark is.
The slope is the 44 m increase of the depth every minute.
According to a PNC Financial Independence Survey released in March 2012, today’s adults in their 20’s “hold an average debt of about $45,000, which includes everything from cars to credit cards to student loans to mortgages. (USA TODAY, April 24, 2012). Suppose that the current distribution of debts of all U.S. adults in their 20’s has a mean of $45,000 and a standard deviation of $12,720. Find the probability that the average debt of a random sample of 144 U.S. adults in their 20’s is: a) Less than $42,600 b) More than $46,240 c) $43,190 to $46,980
Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:
a) 0.0119 = 1.19%.
b) 0.121 = 12.1%.
c) 0.9257 = 92.57%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 45000[/tex].The standard deviation is of [tex]\sigma = 12720[/tex].A sample of 144 is taken, hence [tex]n = 144, s = \frac{12720}{\sqrt{144}} = 1060[/tex].Item a:
The probability is the p-value of Z when X = 42600, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{42600 - 45000}{1060}[/tex]
[tex]Z = -2.26[/tex]
[tex]Z = -2.26[/tex] has a p-value of 0.0119.
The probability is of 0.0119 = 1.19%.
Item b:
The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46240 - 45000}{1060}[/tex]
[tex]Z = 1.17[/tex]
[tex]Z = 1.17[/tex] has a p-value of 0.879.
1 - 0.879 = 0.121.
The probability is of 0.121 = 12.1%.
Item c:
The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:
X = 46980:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{46980 - 45000}{1060}[/tex]
[tex]Z = 1.87[/tex]
[tex]Z = 1.87[/tex] has a p-value of 0.9693.
X = 43190:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{43190 - 45000}{1060}[/tex]
[tex]Z = -1.71[/tex]
[tex]Z = -1.71[/tex] has a p-value of 0.0436.
0.9693 - 0.0436 = 0.9257.
The probability is of 0.9257 = 92.57%.
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I need helpppppppppp
Answer: A local swiming
Find the equation of the parabola with points (-3,15), (0,-6), & (2,10)
Answer:
(d) y = 3x² +2x -6
Step-by-step explanation:
The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).
__
Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.
The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)
The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)
The only reasonable choice is D:
y = 3x² +2x -6
__
Additional comment
You get the same answer if you use a regression tool.
Answer:
[tex]y = 3\, x^{2} + 2\, x - 6[/tex].
Step-by-step explanation:
In general, the equation of a parabola is in the form [tex]y = a\, x^{2} + b\, x + c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]a \ne 0[/tex].
Let [tex]y = a\, x^{2} + b\, x + c\![/tex] denote the equation of this parabola for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]a \ne 0[/tex]. A point [tex](x_{0},\, y_{0})[/tex] is on this parabola if and only if the equation of this parabola holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex]:
[tex]y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c[/tex].
Thus, each of the three distinct points on this parabola would give a equation about [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
The equation for [tex](-3,\, 15)[/tex] would be [tex]15 = (-3)^{2}\, a + (-3)\, b + c[/tex].The equation for [tex](0,\, 6)[/tex] would be [tex]6 = 0^{2}\, a + 0\, b + c[/tex].The equation for [tex](2,\, 10)[/tex] would be [tex]10 = 2^{2}\, a + 2\, b + c[/tex].Simplify the equations:
[tex]\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.[/tex].
Solve this linear system of three equations and three unknowns for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.[/tex].
Therefore, the equation of this parabola would be:
[tex]y = 3\, x^{2} + 2\, x - 6[/tex].
Your car gets about 20 miles per gallon. You are planning to drive to
who live about 850 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and to return home?
Answer:
42.5 or 43
Step-by-step explanation:
Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.
Hope this helped somewhat! ;(
Mari's watch gains 3 minutes every hour. Find the percentage error in Mari's watch at the end of one hour.
I will give you a boba drink if you answer :D <3
Answer:
Mari watch died of eating Boba drinks
What is the measure of angle DBA?
1.) 39
2.) 69
3.) 59
4.) 49
Answer:
3.
Step-by-step explanation:
Since angle DBC and DBA are supplementary (they add up to a straight angle-180 degrees) we can subtract 121 from 180 and find out the answer of angle DBA.
Answer:
3.............
................
During a period of 30 working days, Deborah was late 80% of the time. How many days was she late?
Graph y=-2x+5 please help fast
Answer:
y=−2x+5
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is
y=mx+b , where m is the slope and b is the y-intercept.
y=mx+b
Find the values of
m and b
using the form
y=mx+b.
m=−2b=5
The slope of the line is the value of m , and the y-intercept is the value of
b.
Slope: −2
y-intercept:
(0,5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
Slope: −2
y-intercept: (0,5)
X|Y
0 5
1 3
Step-by-step explanation:
The required graph of the equation y = -2x +5 has been shown.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,
And put y = 0,
0 = -2x + 5
x = 2.5,
Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,
Thus, the required graph of the equation y = -2x +5 has been shown.
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100 points! need asp tho
can you help me with math homework?
thank you
100 + 10 + (10 - 5)²
Answer:
•100 + 10 + (10 - 5)²=135
Explanation:#Let's Study
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Question
100 + 10 + (10 - 5)²
Answer:
Step by step explanation:
=100 + 10 + (10 - 5)²
=100 + 10 +5²
=100 + 10 + 25
=110 + 25
=135
I hope this helps
A house plan shows a scale of 1 : 40. If the rectangular lounge room of the house is to measture 4.5 metres by 6.3 metres, what is the area of the lounge room on the plan
algebra 2
I have no idea what to do please explain
Answer:
So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.