Answer:
x=1 , y = -1
Step-by-step explanation:
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
Add the equations together
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
---------------------------
-2.4 y = 2.4
Divide by -2.4
y = -1
Now find x
2.4x +1.2y = 1.2
2.4x +1.2(-1) = 1.2
2.4x -1.2 = 1.2
Add 1.2 to each side
2.4x -1.2+1.2 = 1.2+1.2
2.4x = 2.4
Divide by 2.4
x = 1
Answer:
x=1
Step-by-step explanation:
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
Also, learn more about decimal expansions from the link below:
https://brainly.com/question/17316823
#SPJ5
Please help, this is a conversion problem.
Answer:
A. 41 ft / sec.
Step-by-step explanation:
28 miles per hour = 28/(60*60)
= 28 /3600 miles per second
= 28 * 5280 / 3600 feet per second
= 41 ft / sec.
Answer:
I am taking a guess so bare with me on here.
Step-by-step explanation:
first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.
Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.
Third: take out any other answer that looks too high or too low.
4th: the answer is A. because 88 and 189 is too high. and 36 is too low.
PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
This is due to the symmetry of the sin function, which states that:
[tex]sin(-x)=-sin(x)[/tex]
Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.
Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
1/3x+4=10 what is x?
Answer:
x = 18
Step-by-step explanation:
start with your equation: 1/3x + 4 = 10
first subtract 4 from both sides of the equal sign
now you have: 1/3x = 6
then divide by 1/3 on both sides
which gives you...
x = 18
you can check it by replacing x with 18.
hope this helps!
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}x+4=10[/tex]
Subtract 4 from both sides
[tex]\frac{1}{3}x=6[/tex]
Multiply both sides by 3
[tex]x=18[/tex]
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
Brainliest for whoever gets this right !!!
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
Pleaseee helpp
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
25 hours (60 seconds)
(1 minute)=
- 1560 seconds
What conversion ratio did she skip in this multiple step conversion?
A.
1 hour
60 minutes
B.
60 seconds
1 minute
C.
1 minute
60 seconds
D.
60 minutes
1 hour
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?
Answer:
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 4ft[/tex]
[tex]Angle, \theta = 45[/tex]
Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]
[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes
[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]
[tex]Area = \frac{45}{360} * \pi * 16[/tex]
[tex]Area = \frac{45*16}{360} * \pi[/tex]
[tex]Area = \frac{720}{360} * \pi[/tex]
[tex]Area = 2 * \pi[/tex]
[tex]Area = 2 \pi\ ft^2[/tex]
The above is the area in terms of π
Solving further.... (Take π as 3.14)
[tex]Area = 2 \pi\ ft^2[/tex] becomes
[tex]Area = 2 * 3.14\ ft^2[/tex]
[tex]Area = 6.28\ ft^2[/tex]
Hence, the area of the sector is
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help
Answer:
The following two equations represent the reflected function:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Step-by-step explanation:
Following are two basic concepts of reflection a point or a function over an axis:
If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.In this question, the function is given:
f(x) = 5(1/5)ˣ
As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.
So the equation of reflected function is:
f(x) = 5(1/5) ⁻ˣ
We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.
(1/5)⁻ˣ = 5ˣ
So equation of reflected function can also be written as:
f(x) = 5(5)ˣ
Answer:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.
If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].
We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):
[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]
We have
[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]
and in each group, we can pull this out as a factor. For example,
[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]
So the entire sum reduces to the remaining term,
[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]
Answer:
jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................
Step-by-step explanation:
6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2