Usando un sistema de ecuaciones, hay que Roberto tiene $250 y Monica tiene $100.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables són:
Variable x: Cantidad de Roberto.Variable y: Cantidad de Monica.Roberto y Mónica tienen, entre los dos, $ 350, por eso:
x + y = 350 -> y = 350 - x
La media de lo que tiene Roberto más lo de Mónica es $ 225, por eso.
0.5x + y = 225
0.5x + 350 - x = 225
0.5x = 125
x = 250
y = 350 - x = 100
Roberto tiene $250 y Monica tiene $100.
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Write the sequences equation for the table . Your equation should be in the form a(n)=man+b
Answer:
a(n) = 3.25n + 1.25Step-by-step explanation:
7.75-4,5 = 3.25
11-7.75 = 3.25
14.25-11 =3.25
17.5-14,25 = 3.25
It’s clear that this is an arithmetic sequence with common difference of 3.25
The equation form of such sequence is a(n) = a×n + b ,where ‘a’ is the common difference.
Then
a = 3.25
The first term a₁ = 4.5
On the other hand, a₁ = 3.25 ×(1) + b
Then
4.5 = 3.25 ×(1) + b
Then
b = 4.5 - 3.25 = 1.25
Conclusion:
a(n) = 3.25n + 1.25
Is the graphed function linear?
O Yes, because each input value corresponds to
exactly one output value.
O Yes, because the outputs increase as the inputs
increase.
O No, because the graph is not continuous.
O No, because the curve indicates that the rate of
ET
Answer:
please provide an image of the graph
2 3/10x-5/7y-4 5/6y-2 4/5x please help and simplify
Answer:
-1/2x -(5 23/42)y
Step-by-step explanation:
We assume you want to simplify the expression ...
(2 3/10)x -(5/7)y -(4 5/6)y -(2 4/5)x
__
The mixed numbers and fractions are combined in the usual way. A common denominator needs to be found for the addition or subtraction to take place.
= x(2 3/10 -2 4/5) -y(5/7 +4 5/6)
= x(23/10 -28/10) -y(30/42 +4 35/42)
= x(-5/10) -y(4 65/42)
= -1/2x -(5 23/42)y
5 miles is 8km.
Convert 68km to miles
State the angle relationships for the following pairs of angles
Answer:
They are equal.
Step-by-step explanation:
1. When drawn in standard position, which of the following angles is coterminal with 125?
(1) -275
(3) 235
(2) 485
(4) 415
The angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.
What is the coterminal or terminal side of an angle?The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.
The angle given in the problem is,
θ=125°
The angle which is coterminal of this angle is,
θ=125°-360°
θ=-235°
Thus, the angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.
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the sphere at the right fits snugly inside a cude with 14in edges. what is the approximate volume of the space between the sphere and the cube?
Answer:Find the vol of the sphere:
radius of the sphere = 3 in
V = %284%2F3%29%2Api%2A3%5E3
V = 97.858
:
Find the vol between the sphere and cube:
216 - 97.858 = 118.142 cu/in
Step-by-step explanation:
Bob Travled 60 miles every 1 hour he was on the road wich graph represents y the total number of miles driven x hours?
Answer:
Step-by-step explanation:
if u want to u can answer question 19 and 20 but if u don’t, just answer 19
Answer:
19-b
20-d
Step-by-step explanation:
your welcome
A scale model of a building is 5 inches wide by 7 inches long. If the scale is 1 in ; 15 ft., how long is the building?
A) 35ft.
B) 75ft.
C) 105ft.
D) 180ft.
Answer:
C
Step-by-step explanation:
I think it's C hope that helps
Question 9 of 10
If you shift the linear parent function, f(x) = x, down 7 units, what is the
equation of the new function?
A. g(x) = x
O B. g(x) = 7x
x
O c. g(x) = x - 7
D. g(x) = x+7
awnser
The correct answer is C. f(x) = x - 7
Step-by-step explanation:
In order to find this, you simply need to know that vertical shifts can be added on to the end of parent equations as constants. Since this is a downward shift, we use a negative number.
does someone mind helping me with this question? thank you!
Answer:
A= B= C= D= E= F=
Step-by-step explanation:
Find the area of the shaded region. Express your answer in terms of \piπ and do not round any numbers.
Answer:
The strategy is to find out the total area and find the area of the 3 circles then subtract the sum of the circles' are from the total area
Total area = (length * width) = ( 3+6+9+12) * 18 = 540 sq. inch
3 Circles area = πr₁² + πr₂² + πr₃²
r₁= 12/2 = 6 in r₂ = 9/2 = 4.5 in r₃ = 6/2 = 3 inπr₁² + πr₂² + πr₃²
π(6²) + π(4.5)² + π(3)²
= 36π + 20.25π + 9π
= 65.25π
Shaded area = 540 - 64.25π = 335.011 sq. in
please answer asap, much appreciated!!!! (will mark brainliest)
Answer: i have had this question before and got it right but i forgot i wish i could help
Step-by-step explanation:
The equation of the line which passes through the point (3, 7) and has a gradient of 3 is:
Answer:
y = mx + b, where m is gradient and b is y-intercept
y = 3
y = 3x + b
To find b use the coordinate (3, 7) to find b
7 = 3(3) + b
b = 7 - 9
b = -2
Therefore, the equation will be:
Therefore, the equation will be:y = 3x - 2
Step-by-step explanation:
.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: hii
1 4/6 Is the Answer I Believe.
Step-by-step explanation:
Hopefully this helps you
- Matthew
With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?
50%
6%
46%
54%
Answer:C. 46%
Step-by-step explanation:there is 6 even numbers and 7 odd number 50 pecernt would be if it was 6 even and 6 odd or 7even and 7 odd.
please help i have to write and i dont understand
Answer:
A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.
B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:
5y-29=3y+19
Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.
C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.
Step-by-step explanation:
Two people meet for the first time. What is the probability that they both have the same birthday?
A. Find the mean, median, and mode of the following data.
a. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
b. 8, 9, 9, 9, 9, 10, 11, 15
c. 16, 23, 18, 30, 32, 34, 8, 19, 21
d. 3.4, 5.2, 2.6, 4.9, 8.2, 2.1, 2.6
STEM LEAF
3 1, 2
4 0, 1, 3, 4, 5, 6, 7
5 1, 4, 2
6 0, 6
e.
Answer:
Step-by-step explanation:
a, First arrange the data in ascending order:
77 79 80 81 84 84 86 88 92 95 <-- ten numbers.
Mean = sum of the numbers / 10
= 846/10
= 84.6.
The median is the middle number in the ordered list, or if there are an even number of values, the mean of the 2 middle numbers. There are 10 numbers here, so the median = (84+84)/2 = 84
Median = 84.
The mode is the value that occurs most. Here we have 2 84's so
Mode = 84.
Parts b to d are done in the same way as for the above, note if there is no mode write None.
For the stem leaf data first write out individual vales and then proceed as in a).
Values = 31 32 40 41 43 44 45 46 47 51 54 52 60 66
can someone help me with this problem?
Answer:
It's [tex]15ft^{3}[/tex]
Step-by-step explanation:
Since w is 4 on A and 2 on B just divide all sides by 2 to get your values for B
4 --> 2
10 ---> 5
2 ----> 1.5
making your answer 15ft^3
hope this helps:)
Each year, inflation causes our money's value to decrease by about 3%. If you put $1,000 in a safe in 2022, how much will it actually be worth in 2030?
Show how you got the answer
Given cosθ= -[tex]\frac{7}{9}[/tex] and tanθ<0, find sin2θ
[tex] \sin {}^{2} (x) + {cos}^{2} (x) = 1[/tex]
[tex] {sin}^{2} (x) = 1 - {cos}^{2} (x)[/tex]
[tex] {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ [/tex]
[tex] {sin}^{2} (x) = 1 - \frac{49}{81} \\ [/tex]
[tex] {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ [/tex]
[tex] {sin}^{2} (x) = \frac{32}{81} \\ [/tex]
[tex] \sin(x) = ± \sqrt{ \frac{32}{81} } \\ [/tex]
_____________________________________________
[tex] \tan(x) < 0 \: \: \: and \: \cos(x) < 0[/tex]
Thus :
[tex] \sin(x) > 0[/tex]
So we have :
[tex] \sin(x) = + \sqrt{ \frac{32}{81} } \\ [/tex]
[tex] \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ [/tex]
[tex] \sin(x) = \frac{4 \sqrt{2} }{9} \\ [/tex]
_____________________________________________
[tex] \sin(2x) = 2 \times \sin(x) \times \cos(x) [/tex]
[tex] \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ [/tex]
[tex] \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ [/tex]
What is the value of x in the triangle?
Answer:
a) 10√2 is correct answer
This triangle can be called acute or _____________.
Question 1 options:
A: equilateral
B: isosceles
C: scalene
D: right
Answer:
B: isosceles
Step-by-step explanation:
Two angles of an isosceles acute triangle measure the same.
A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.
what is the value of the quantity after 10 weeks, to the nearest hundredth?
The function of the exponential decay will be y = 870(0.75)ˣ. Then the value of the quantity after 10 weeks will be 49.
What is exponential growth or decay function?Consider the function:
y = a(1 ± r)ˣ
where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction.
If there is a negative sign, then there is exponential decay happening by r fraction.
A quantity with an initial value of 870 decays continuously at a rate of 0.75% per day.
Then the function is given as
y = 870(0.75)ˣ
Then the value of the quantity after 10 weeks will be
y = 870(0.75)¹⁰
y = 870 (0.0563)
y = 48.99
y ≅ 49
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Answer:
111.7
Step-by-step explanation:
Jenny has finished 20 of the 25 math problems on her homework sheet. Liam has finished the same percent of problems from his homework sheet. His homework contains 40 problems. How many problems has Liam finished?
The number of problems which are finished by Liam from his homework sheet when his homework contains 40 problems is 32.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Jenny has finished 20 of the 25 math problems on her homework sheet. Thus, the total percentage of problems he finished is,
[tex]n=\dfrac{20}{25}\times100\\n=80\%[/tex]
Liam has finished the same percent of problems from his homework sheet which is 80%. His homework contains 40 problems. Thus, the number of problems has Liam finished,
[tex]x=\dfrac{80}{100}\times40\\x=32[/tex]
Hence, the number of problems which is finished by Liam from his homework sheet when his homework contains 40 problems is 32.
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How much numbers are on a number line?
Answer:
all real numbers, continuing forever in each direction, and also numbers that are between the integers
Answer:
10
Step-by-step explanation:
What is the measure of angle BOC, in degrees?
Answer:
The answer is 100 degrees.
Step-by-step explanation:
Step 1. Set up the equation 20x+25x=180
Step 2. Simplify to get 45x=180
Step 3. Divide 180 by 45 to get 4.
Step 4. Do 25x4 to get an answer of 100.
I hope this helps! :)
A rectangular field is 95 meters wide and 140 meters long. A coach
asks players to run from one corner to the opposite corner diagonally
across the field. How much shorter is the diagonal of the field than its
perimeter? Provide an answer accurate to the nearest tenth.
Answer: don’t have a calculator but if you do write this and you will get your answer 140 x 95
Step-by-step explanation:
