Resolviendo un par de ecuaciones lineales veremos que pedro tiene 400 pesos.
¿Cuánto dinero tiene Pedro?Sabemos que:
María tiene 900 pesos.
Juan tiene el doble de la tercera parte de María, entonces:
J = (2/3)*$900 = $600
Juan tiene 600 pesos.
Finalmente, sabemos que la suma del dinero de Pedro y Juan es de $1,000 pesos, entonces tenemos que resolver la ecuación lineal:
P + J = $1,000
P + $600 = $1,000
P = $1,000 - $600 = $400
Pedro tiene 400 pesos.
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What is the sum of the interior angles of this pentagon?
[tex]sum\ or\ interior\ angles[/tex]
[tex]ol\ pentagon\ is\ 540\textdegree.[/tex]
Step-by-step explanation:[tex]Given\ of\ Pentagon[/tex]
[tex]To\ hind\ o\ sum\ of\ Interiur\ angle\ of[/tex]
[tex]pentagon.[/tex]
[tex]solutiono[/tex]
[tex]sum\ of\ the\ interior[/tex][tex]angler\ of\ a\ pentajon[/tex]
[tex]can\ be\ round\ by\ 1\ st[/tex]
[tex]dividing\ it\ into\ triangler[/tex]
[tex]from\ 1\ verter.[/tex]
[tex]\therefore\ There\ are\ 3\ Triangles\ made.[/tex]
[tex]sum\ of\ interiar\ angler\ or\ Triangles\ is[/tex]
[tex]180\textdegree.\ Tmere\ are\ 3\ Triangles.[/tex]
[tex]\therefore \ \ \ \ \ 180\times 3=540\textdegree.[/tex]
[tex]Hence\ sum\ ot\ interior\ angles[/tex]
[tex]ol\ pentagon\ is\ 540\textdegree.[/tex]
I hope this helps you
:)
Find an equation of the ellipse that has center (2,0), a major axis of length 12, and endpoint of minor axis (5,0).
The standard formula of the ellipse with center (2, 0), a major axis of length 12 and endpoint of minor axis (5, 0) described in the statement is (x-2)²/9 + y²/36 = 1.
How to derive the equation of the ellipse based on given information
The ellipse is a kind of conic whose formula in standard form is shown below:
(x-h)²/b²+(y-k)²/a² = 1 (1)
Where:
x, y - Orthogonal axes of the ellipse.h, k - Location of center of the ellipse.b - Length of the minor semiaxis.a - Length of the major semiaxis.In this question we are supposed to construct the standard equation the ellipse by replacing all the variables. If we know that b = 3, a = 6, h = 2 and k = 0, then the standard equation of the ellipse is:
(x-2)²/9 + y²/36 = 1 (2)
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Jack has the following scores on exams in his math class.
81, 87, 93, 89, 61, 81
If he wants to make his performance sound as good as possible, which measure should he use—the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain.
In you response, make sure to:
calculate the mean,
calculate the median, and
calculate the mode of his exam grades
compare and pick the measure that makes his performance sound as good as possible.
Answer:
The median, which is 90%.
Step-by-step explanation:
Mean: sum of (81, 87, 93, 89, 61, 81) / 6 = 82%
Median: Middle number from lowest to highest. Between 87 and 93 so its (87+93)/2 = 90%
Mode: Number that occured most often, 81%
Explain why this comparison is either reasonable or not reasonable. 7.52 > 7.5
Answer:
Step-by-step explanation:
7.52 is greater than 7.5 because 7.52 has 2 hundredths more value as 7.5 is only 7.50.
Why is it important to establish a positive credit history?
Good credit will give you a better career.
Good credit gives you a higher salary.
Good credit helps you rent an apartment.
Good credit will allow you to write more checks.
Answer:
Good credit will give you a better career.
Use the point–slope formula to write an equation of the line that passes through −4,15 and has a slope of m = − 4. Write the answer in slope–intercept form (if possible).
The equation of the line is_____
Let's split this problem into several steps:
Let's first put it into the point-slope form:
⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]
(x0,y0) --> any point on the linem --> slopeConsider the information given:
(x0,y0) --> (-4,15)m --> -4Let's plug the numbers in:
[tex]y - 15=-4(x+4)\\[/tex]
To put this format into slope-intercept form, we will solve for y:
⇒as in, move everything else to one side and y by itself on the other
[tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]
Thus the equation of the line is --> [tex]y = -4x - 1[/tex]
Hope that helps!
plsssssssss helpppppppppppppppppppp
Answer:
#1 B inferential
#2 A descriptive
Step-by-step explanation:
Hope this helps!
a combination of numbers symbols and operations that shows a certain value
write a quadratic function whose zeros are 7 and 2
Answer:
A quadratic function whose zeros are 2 and 7 is f(x) = x^2 - 9x + 14
If the zeros of a quadratic function are a and b, the quadratic function will be given as:
f(x) = (x - a)(x - b)
For the function f(x) whose zeros are 2 and 7:
f(x) = (x - 2)(x - 7)
Expand the equation
f(x)= x^2 - 7x - 2x + 14
f(x) = x^2 - 9x + 14
Therefore, a quadratic function whose zeros are 2 and 7 is
f(x) = x^2 - 9x + 14
The length of a rectangle is three feet less than twice its width. Ifx represents the width of the rectangle, in
feet, which inequality represents the area of the rectangle that is at most 30 square feet?
O x(3 - 2.c) < 30
O <(2x - 3) < 30
O 2(3 – 23) > 30
O x(2x - 3) > 30
x(2x - 3) > 30
hope it helps...!!!
super urgent can someone help me with this i spent a lot of points and i received a fake answer
Answer:
(a) 3, 2, -3, -7, -12, -18, -25, -33 etc.
(b) -44, -12, -4, 4, 12, 44
Step-by-step explanation:
Integer: whole numbers (including negatives)
To factor a quadratic in the form [tex]ax^2+bx+c[/tex]
Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.Question (a)
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies a=k, b=5\: \textsf{and}\:c=2[/tex]
You don't have to do this, but it is helpful to first find the range of k. To do this, use the discriminant [tex]b^2-4ac[/tex].
If the quadratic has 2 real roots then [tex]b^2-4ac > 0[/tex]
If the quadratic has 1 real root then [tex]b^2-4ac = 0[/tex]
Therefore, set the discriminant to ≥ 0
[tex]\implies 5^2-4(k)(2)\geq 0[/tex]
[tex]\implies 25-8k\geq 0[/tex]
[tex]\implies -8k\geq -25[/tex]
[tex]\implies 8k\leq 25[/tex]
[tex]\implies k\leq 3.125[/tex]
As k is an integer, [tex]k\leq 3[/tex]
Given quadratic: [tex]kx^2+5x+2[/tex]
[tex]\implies ac=k \cdot 2=2k[/tex]
[tex]\implies d+e=5[/tex]
So we need to find pairs of numbers that sum to 5 and multiply to a (negative or positive) even number, since [tex]ac=2k[/tex]
2 + 3 = 5 and 2 · 3 = 6 ⇒ 2k = 6 ⇒ k = 3
1 + 4 = 5 and 1 · 4 = 4 ⇒ 2k = 4 ⇒ k = 2
-1 + 6 = 5 and -1 · 6 = -6 ⇒ 2k = -6 ⇒ k = -3
-2 + 7 = 5 and -2 · 7 = -14 ⇒ 2k = -14 ⇒ k = -7
-3 + 8 = 5 and -3 · 8 = -24 ⇒ 2k = -24 ⇒ k = -12
-4 + 9 = 5 and -4 · 9 = -36 ⇒ 2k = -36 ⇒ k = -18
-5 + 10 = 5 and -5 · 10 = -50 ⇒ 2k = -50 ⇒ k = -25
-6 + 11 = 5 and -6 · 11 = -66 ⇒ 2k = -66 ⇒ k = -33
etc.
Therefore, possible values of k are:
3, 2, -3, -7, -12, -18, -25, -33 etc.
-------------------------------------------------------------------------------------------
Question (b)
Given quadratic: [tex]9x^2+kx-5[/tex]
[tex]\implies a=9, b=k\: \textsf{and}\:c=-5[/tex]
[tex]\implies ac=9 \cdot -5=-45[/tex]
Find factors of -45:
1 and -45-1 and 453 and -15-3 and 155 and -9-5 and 9As [tex]a+c=k[/tex]:
1 + -45 = -44-1 + 45 = 443 + -15 = -12-3 + 15 = 125 + -9 = -4-5 + 9 = 4Therefore, all possible values of k are -44, -12, -4, 4, 12, 44
Academic Testing Professor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 50% of the seniors who do go on to a career in physics still fail the test. Further, 80% of all senior physics majors in fact go on to a career in physics. Assuming that you fail the test, what is the probability that you will not go on to a career in physics? (Round your answer to four decimal places.)
Answer:
ledsen jag vet inte din fråga väldigt ledsen vara vän med dig
What is the approximate volume of the cylinder? Use 227 for π. Round to the nearest whole.
A cylinder with radius 3 centimeters and height 7 centimeters.
66 cm3
132 cm3
198 cm3
264 cm3
Answer:
The answer is 198cm3.
Step-by-step explanation:
Since the radius is 3 and the height is 7, use V=πr^2h
V=πr^2h=π·3^2·7=197.92034
round to the nearest whole and it gives you 198cm3
Answer:
C
Step-by-step explanation:
198 cm3
HOPE I WAS ABLE TO HELP!
Julia is going to invest $860 and leave it in an account for 8 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Julia to end up with $1,190?
Answer:
$860(860×12×8×1190÷100)
81872_860
=$81012
are the triangles similar? explain. please help
Answer:
The triangles are similar.
Step-by-step explanation:
The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.
Answer:
Yes
Step-by-step explanation:
(i) By AA similarity
Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity(ii) By SSS similarity
AB/DC = 32/40 = 4/5BC/EF = 24/30 = 4/5AC/DF = 36/45 = 4/5As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarityPLEASE HELP WILL MARK BRAINLIEST!!!
Which fraction has a value that's equal to 3/4?
A. 12/12
B.4/3
C. 12/16
D. 9/16
Answer:
C. 12/16
Step-by-step explanation:
If you multiply both the numerator AND the denominator by four you end up with the equivalent fraction of 12/16.
Find x +y + z.
what is x,y, and z
Answer:
Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.
If we add the first and second equations, we will eliminate both the x and the y.
(2x + y + z) + (2x - y - z) = (3) + (9)
helppp!!!
Which expression is equivalent to 5a2+ 15a - 5?
A. 2042 - 5
B. 5a² + 10a
c. q2 + 3a - 1
D. 5a² + 20a - 5a - 5
Answer:
[tex]D)~~ 5a^2 +20a -5a -5[/tex]
Step-by-step explanation:
[tex]5a^2 +20a -5a -5 = 5a^2 +15a -5[/tex]
Answer:
D
Step-by-step explanation:
5a2 is same, -5 is same and 20a - 5a is same as 15a
how do I find the area of composite figures
The area of the composite figure involving rectangle and trapezium is 810.5cm².
How to calculate the area?The area can be found by adding the area of the rectangle and trapezium. This goes thus:
Area of rectangle = Length × Width = 15 × 23 = 345cm²
Area of trapezium = 1/2(a + b)h
= 1/2(15 + 34) × 19
= 1/2 × 49 × 19
= 465.5cm²
The area will now be:
= 345cm² + 465.5cm²
= 810.5cm²
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AHHH I'M LOSING POINTS PLEASE HELP
Answer:
Top Middle in the top column, rest bottom i think
Step-by-step explanation:
She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.
Find the next two terms in this sequence.
50,40,31,23,16,[???][???]
Answer:
10, 5.
Step-by-step explanation:
The differences are -10, -9, -8, -7,
so the next 2 terms are 16-6 and 10 - 5
= 10, 5
What is the value of x in the proportion below?
5/60=8/x
Answer:
x = 96
Step-by-step explanation:
5 = 8
__ __
60 x
*do cross multiply
5x = 8x60
5x = 480
x = 480/5
x = 96
PLEASE HELP ME IM LOSIN ALOT OF POINTS
Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities. (a) What was the least amount of snowfall in any of the cities? (b) In which quarter is the data most concentrated? Explain how you know. (c) In which quarter is the data most spread out? Explain how you know.
Answer:
c
Step-by-step explanation:
I can do this so fast I know I am a high school
Which of the following is the absolute value parent function?
O A. F(x) = 1/x
O B. F(x) = [X]
O C. F(x) = x
O D. Rx) = (x1 - 1
Answer:
Answer c is the correct one
The absolute value parent function is typically denoted as f(x) = |x|.
None of the given options matches the absolute value parent function.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The absolute value parent function is typically denoted as f(x) = |x|. Therefore, none of the given options matches the absolute value parent function exactly.
f(x) = [x], represents the greatest integer function, also known as the floor function, which returns the largest integer less than or equal to x.
f(x) = 1/x, is a rational function, which has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
f(x) = x, is a linear function, which has a constant slope of 1.
f(x) = (x-1), is a linear function with a slope of 1, but it is shifted to the right by 1 unit.
Therefore,
The absolute value parent function is f(x) = |x|.
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Select the best answer for the question.
7. What is 7/4 as a mixed number?
O A. 3/4
O B. 1914
O C. 1314
O D. 11/4
Answer:
[tex] 1 \frac{3}{4} [/tex]
Step-by-step explanation:
7/4 = [tex] \sf 1 \bold{R} 3 [/tex]
⇢ [tex] 1 \frac{3}{4} [/tex]
1. What is the domain and range for the following function and its inverse? f(x) = x² +3
Answer:
Step-by-step explanation:
x^2 + 3
The domain is All Real x and the range is f(x) ≥ 3.
Find its inverse:
y = x^2 + 3
x^2 = y - 3
x = √(y - 3)
So f-1(x) = √(x - 3)
The domain is x ≥ 3 and range is f(x) ≥ 0.
From the product of 3y and y^2 -4y +10, subtract y^3 + 7y2 -2y
Please help this is due tonight!
Explain the difference between probability, chance, and odds
Answer:
Probability: The fraction you would expect to see a certain event occurring in many trials.
Ex: the probability of an event (blank) happening might be 0.75. This is more known as the normalized probability.
Chance: Chance is a synonym of probability, is usually expressed as a percentage
Ex: 100%
Odds: They are the ratios of probabilities, they can be defined in two different ways: odds in favor of an event (“odds on”) or against an event (“odds against").
Ex: let's just say if the probability of an event occurring is 0.75, then the odds for it happening are 0.75/0.25 = 3/1 = 3 to 1 while the probability that it doesn’t occur is 1 to 3 against.
Step-by-step explanation:
in the blanks below. Find the slope of the line passing through the points (-9, 2) and (9,2). slope:
I will assume that we are trying to find the slope between (-9,2) and (9, 2)
The slope's equation ⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
Let's set the variables:
(x1, y1) --> (-9, 2)
(x2, y2) --> (9, 2)
Now let's plug them in:
[tex]Slope = \frac{2-2}{9--9} =\frac{0}{18} =0[/tex]
Thus the slope of the line is 0.
Hope that helps!