If x + 3y = 1, then x = 1 - 3y.
Then in the second equation, replace x with 1 - 3y :
-x + 2y = 4
- (1 - 3y) + 2y = 4
-1 + 3y + 2y = 4
-1 + 5y = 4
5y = 5
y = 1 → x = -2
since x = 1 - 3•1 = 1 - 3 = -2.
Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get
x + 3y = 1
3y = 1 - x
y = (1 - x)/3
Then replace y in the second equation:
-x + 2y = 4
-x + 2 ((1 - x)/3) = 4
-x + 2/3 (1 - x) = 4
Multiply both sides by 3 to get rid of the fraction:
-3x + 2 (1 - x) = 12
-3x + 2 - 2x = 12
-5x + 2 = 12
-5x = 10
x = -2 → y = 1
since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.
what is 32% of 655????
Answer:
209.6
Step-by-step explanation:
Answer:
209.6
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The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!
Hey there!
The answer to your question is [tex]-2 \frac{3}{11}[/tex]
[tex]-2(4x+4) - 3x -2= 34[/tex] Write the equation
[tex]-8x - 8 - 3x - 2 = 34[/tex] Distribute -2
[tex]-11x-10 = 34[/tex] Combine like terms
[tex]-11x = 24[/tex] Add 10 to both sides
[tex]-2 \frac{3}{11}[/tex] Divide both sides by -11
Hope it helps and have a great day!
The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.
Step-by-step explanation:
Given that:
Speed of Mr. Chandler = 70 mph
Distance covered in 4 hours = 70 * 4 = 280 miles
Let,
h be the number of hours.
y be the total distance covered.
y = 70h + 280
Speed of Mrs. Chandler = 80 mph
y = 80h
For catching up, the distance would be same.
80h = 70h + 280
80h - 70h = 280
10h = 280
Dividing both sides by 10
[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]
Hence,
It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.
What is the meaning of having 150% of a pizza? Draw a diagram to represent this.
Step-by-step explanation:
it means having more than 1 and half piece of pizza
What is m<1 and m<3 someone help me please
Answer:
m < 1 = 52
m < 3 = 52
Step-by-step explanation:
m < 8 = 128 therefore m < 4 = 128
1.) we know that m < 4 + m < 1 must equal 180
128 + m < 1 = 180
180 - 128 = m < 1
52 = m < 1
due to the position of m < 1 and m < 3, they are the exact same
A point is randomly chosen on the following. Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)
PLEASE HELP!!!!!! ILL GIVE BRAINLIST
Daniel runs 4/5 mile in 1/4 hour.
Enter the number of miles Daniel runs in 1 hour if he continues at the same rate.
Answer:
16/5 or 3 1/5 mile
Step-by-step explanation:
Because he is traveling at a same rate, 4/5*4= 16/5.
Which equations have the same value of x as 5/6x + 2/3 = -9? Select three options.
•6 (5/6x + 2/3) = -9
•6 (5/6x + 2/3) = 9(6)
•5x + 4 = -54
•5x + 4 = -9
•5x = -13
•5x = -58
ANSWER: B,C,F
Answer:
B, C, F C:
Step-by-step explanation:
(x - 3)2 + (y + 7)2 = 121 what's the center of the circle
Answer:
centre = (3, - 7 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 3)² + (y + 7)² = 121 ← is in standard form
with centre = (h, k ) = (3, - 7 )
Jake’s rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angie’s rental car service uses this table to calculate the cost of a car rental.
Answer:
Step-by-step explanation:
2100 principle earning 4% compounded each year annually after 4 years
Answer:
$2,456.70
Step-by-step explanation:
please help asap!! giving brainliest
Answer:
f g e is the answer
Step-by-step explanation:
Answer:
All you have to do is subtract by the corresponding attributes and answer each accumulation
Step-by-step explanation:
In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Answer:
a. 66.8%
b. 0.855
Step-by-step explanation:
In a recent survey in a Statistics class,
Percentage of students that attended class on Friday = 60%
Percentage of students that did not attend class on Friday = 100 - 60% = 40%
Percentage of those who went to class on Fridays and passed the course = 98%
Percentage of those who did not go to class on Fridays and passed the course = 20%
a. What percentage of students is expected to pass the course?
This is calculated as:
= 60% × 98% + 40% × 20%
= 0.668
Converting to percentage
= 0.668 × 100
= 66.8%
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
We solve using Baye's Theorem
= [60 × 98%]/[60% × 98% + 40% × 20%]
= 0.588 /0.688
= 0.8546511628
Approximately = 0.855
Part(a): The required pass percentage is 66.8%
Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]
Given that,
P(Friday) = 0.60, P(No Friday) = 0.40
[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]
Part(a): The percentage of students expected to pass the course is 0.668.
[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]
Part(b):
The probability that he/she attended classes on Fridays is 0.8802
[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]
Learn More:https://brainly.com/question/23485751
please help me asap!!!!
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
What is the slope of the line through (2, 10) and (-2, 17)?
what is the slope of the line through the points P(6,8) and Q(7,3)
Answer:
q
Step-by-step explanation:
I need help with this shi
Which is the correct answer? I already have something but not sure if correct
Answer:
83, not -83
Step-by-step explanation:
absolute value is ALWAYS POSITIVE!!! remember that!
An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Which is an equation of the line through the origin and (-4,-9)?
Note: Origin point = (0,0).
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]
Slope-Intercept[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]
Rewrite the equation by substituting m = 9/4 in the equation.
[tex]y = \frac{9}{4} x + b[/tex]
Find the value of b.Because the graph passes through the origin point. That means the y-intercept is (0,0).
Therefore we rewrite the equation again to
[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]
Answer[tex] \large \boxed{y = \frac{9}{4} x}[/tex]
Helpppppppppppppppppppppp pleaseeeee
Answer:
48 cm by 27 cm
Step-by-step explanation:
(16/9)*3=48/27
ANSWER QUICKLY
what are 2 things you are allowed to assume for proofs if the picture show for congruency
Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.
Step-by-step explanation:
Round these numbers to the nearest tenths place (1 decimal place)
5) 41.35
Answer:
41.4 im pretty sure
Step-by-step explanation:
what is a cubic polynomial function with zeros 3,3 and -3? show your work.
Answer:
Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]
So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE
Answer:
25
Step-by-step explanation:
a1 = 9
a2 = a1 + 4
a2 = 9 + 4
a2 = 13
a3 = a2 + 4
a3 = 13 + 4
a3 = 17
a4 = 21
a5 = 21 + 4
a5 = 25
This can more easily be done by using this formula
L = a1 + (n - 1) * d
a1 = 9
n = 5
d = 4
L = 9 + (5 -1)*4
L = 9 + 4*4
L = 9 + 16
L = 25
what is -X - 29 = 15 - 3x
Answer: x = 22
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x =22
Step-by-step explanation:
Please help at least one of them number it please!!!!
Answer:
Step-by-step explanation:
1. k - 5
2. 31g
3. b - 43
4. u - 36
5. 15r
6. 21/q
7. 7 + j or j + 7
8. 33/n
9. a + 23
10. 44m
11. c + 15
12. 10 -f
13. 39/e
14. k - 29
15. s - 38
16. v + 28
17. x - 11
18. y + 26
Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?
Answer:
initial velocity = 15 m/s
final velicity = 0 m/s
time required = 10sec
Formula is V = U + at
0 = 15 + a 10
-15 ÷ 10 = acc
acc = - 1.5 m/s^2
plz give branlist
simplify the expression -3÷(-2/5)
Answer:
7 1/2
Step-by-step explanation:
Because you have to keep, change, flip and it is positive because they both are negative
Can you mark me brainliest