Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Which of the following represents the GCF of 98 ab 3 and 231 a 3 ?
7 a
7 a 3
7
7 a 3b 3
Answer:
7a
Step-by-step explanation:
we know this, because there is no b in the second polynomial. Therefore, there cannot be a b in the answer. There is also no b^3 in the second polynomial, so there cannot be a ^3
In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced
Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed
9 3/5 as a improper fraction
Answer:
48/5
Step-by-step explanation:
hope it helps!
......
What is the value of X?
A: 125
B: 110
C: 35
D: 55
Answer:
The value of X is 35
Step-by-step explanation:
If I’m not right I apologize
Help 9th grade math please please please
Answer:
A.) This system has no solutions.
Step-by-step explanation:
y = 1/2x + 4
-1/2x + y = -5
-1/2x + (1/2x + 4) = -5
4 = -5
The system has no solutions, if we graph it, we get that it has the same slope with two different y-intercepts, these two are parallel. These two points will never meet at a point.
Answer:
use the relationship between coefficients of a pair of linear equations for no solutions i.e. a1/a2 equal to b1/b2 not equal to c1/c2 .
Here, a is coefficient of x and b is coefficient of y and c is constant term in both equation but make sure that you put the values of a1,a2,b1,b2,c1 and c2 after converting both equation in the form ax+by+c=0 with proper sign and here y=1/2(x) +4 is equation 1 and other is equation 2
How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.
Answer:
it more than tripled
Step-by-step explanation:
I'm not sure if you need more but it requires me to type more to send the answer
Answer:
It more than tripled
Step-by-step explanation:
Right on Edge 2021
PLEASE HELP I WILL GIVE BRAINLIEST ANSWER! What is y-5/3=1?????
Answer:
Y =1 is a good answer for this question.
HELP PLZ!! WILL MAKR BRAINLIEST
Answer:
See below
Step-by-step explanation:
The y-intercept is -5.5 as per graph
Taking two random points from the graph to find the slope:
(-1, -6) and (1, -5)Use slope formula: m = (y2 - y1)/(x2 - x1)
m = (-5 - (-6))/(1 - (-1)) = 0.5The line in slope-intercept form is (y = mx + b)
y = 0.5x - 5.5or
y = 1/2x - 11/2Answer:
i don’t think I understand.
Step-by-step explanation:
what expression is equivalent to (2.1x+4.3) - (-3x-7)
Evaluate g(x)=4 -3x when x=-3,0, and 5
Answer:
-11
Step-by-step explanation:
please answers this
Answer:
shusidvxxosbsbzbz
Step-by-step explanation:
usjzkdofjfbf
Answer:
50 degree for X look at pic attached
What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1.
Answer:
A (y= -4x+1)
Step-by-step explanation:
The ‘+1’ in the answer represents the point at which the line cuts the y axis (it crosses the y axis at +1)
The -4x comes from finding the gradient of the line which is done by using the formula (y2-y1)/(x2-x1) which will give you -4
Please provide an explanation with your answer, thank you!
Answer:
the answer is c. because the awnser is 47.5 and round upto the nearest whole number si 50
Step-by-step explanation: if the yard stick is 3ft and the shadow is 4ft that means the shadow of the stick is 1ft longer than the stick itself.
so if the shadow of the flag pole is 20ft than you -1 and get 19 as shown "20 - 1 = 19" then it said the rope needs to be 2.5 times as long as the pole so you multply 19 by 2.5 as shown "19 x 2.5 = 47.5" round up its 50ft. so there you go hope it helped let me know
During hibernation, a garter snake’s body temperature never goes below 3 °C. Write an inequality that represents this situation.
Answer:
x ≥ 3*C
Step-by-step explanation:
WILL MARK YOU BRAINLIEST ANSWER 1-3 plz
Answer:1)52
2)13
3)22
Step-by-step explanation
The answer to each part is mentioned below -
P = 72RU = 16SU = 22What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a kite TSVU as shown in the image.
{ 1 } -
UT = ST = 20
Perimeter of ΔSUT will be -
P = ST + TU + SU
P = 20 + 16 + 16 + 20
P = 72
{ 2 } -
Perimeter of ΔSUV will be -
P = SV + SU + VU
38 + 26 + VU = 102
VU = 38
ΔSUV ≅ ΔRUV
RU = SR = 16
{ 3 } -
ΔSUV ≅ ΔRUV
SR = RU
4x - 1 = x + 8
4x - x = 8 + 1
3x = 9
x = 3
SU = SR + RU
SU = 4x - 1 + x + 8
SU = 12 - 1 + 3 + 8
SU = 22
Therefore, the answer to each part is mentioned below -
P = 72RU = 16SU = 22To solve more questions on kites, visit the link below -
brainly.com/question/1041084
#SPJ5
Which fraction is equivalent to 2/4
Answer: 1/2
Step-by-step explanation:
2/4=1/2
Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
Step-by-step explanation:
b. Sonya says that her profit is increasing 4 times as
fast as Kirsten's profit. Do you agree? Explain.
Lesson 8 Compare Functions
Answer:
No, I beleive that her profits are only 3 times as much as Kirsten's profits.
Step-by-step explanation:
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{4-1}{2-1}[/tex]
= 3
Based on the graph, the y-intercept is (-2) so the equation of the line is:
y = 3x - 2
I need help with this question! Will mark brainliest :)
Answer:
hiii
your answer is option d
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.INanswer: y= 20x+30
Step-by-step explanation:
it says they charge 20$ per hour and x is the amount of hours.
30$ is charged as the registration fee at the beginning only.
Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
Ana tiene ahorrados 30 €. Un fin de semana sale al cine con unos amigos y se gasta 7 €, le compra un regalo que le cuesta 12 € a una amiga y paga el billete de tren, que le supone 3 €. Si al llegar a casa su padre le da sus 15 € semanales, ¿cuánto le queda finalmente? (Plantear la solución como una única operación con enteros).
Answer:
A Ana le queda 23 €.
Step-by-step explanation:
La mejor estrategia para la resolución de este problema consiste en leer paso a paso y traducirlo en una serie de sumas y restas. Comenzamos:
1) Ana tiene ahorrados € 30:
[tex]x = 30\,EUR[/tex]
2) Un fin de semana sale al cine con unos amigos y se gasta € 7:
[tex]x = 30\,EUR-7\,EUR[/tex]
[tex]x = 23\,EUR[/tex]
3) Le compra un regalo que le cuesta € 12 a una amiga y paga el billete de tren, que le supone € 3:
[tex]x = 23\,EUR-12\,EUR-3\,EUR[/tex]
[tex]x = 8\,EUR[/tex]
4) Si al llegar a casa su padre le da sus € 15 semanales:
[tex]x = 8\,EUR + 15\,EUR[/tex]
[tex]x = 23\,EUR[/tex]
Si lo definimos como única operación con enteros, tenemos que:
[tex]x = 30\,EUR-7\,EUR-12\,EUR-3\,EUR+15\,EUR[/tex]
[tex]x = 23\,EUR[/tex]
A Ana le queda 23 €.
two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another
Answer:
la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb
if (x ➖ y)2=441 and xy=46 find the value of x2+y2
Can somebody plz help answer this word problem (showing the steps to get answer) thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDDDD
Answer:
528 cookies
Step-by-step explanation:
3 hours 55 minutes
=3×60+55
=235 and
235-215 ( for preheating minutes)
220
So
20 minutes…=48 cookies
1. ". =48/20 "
220 ". =48/20×220 "
=12/5×220 "
= 528 "
Answer:
well im not sure but i got 220
Step-by-step explanation:
so you convert the 3 hours and 55 minutes into minutes so
3*60=180
180+55=235
235-15=220
(for the preheating part)
220/48=4.583333333
4.583333333*48=(about)220 (actual number is 219.999999984)
so 220 cookies
Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.
Answer:
No
No
Yes
Step-by-step explanation:
-1/4 is the only correct solution to the equation represented by the graph.
Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES
Answer:
it is a
Step-by-step explanation:
Answer:
a
Step-by-step explalan
At right is the tunnel entrance that runs through
Castle Hill in Budapest, Hungary.
-a If the maximum height of the tunnel is the
same as its maximum width, 9.8 meters,
determine a quadratic model to represent
the tunnel
-b State a geometric model that could be used to
represent a truck passing through the tunnel.
-c If a typical truck has a width of 2.62 m,
determine the height limitation that should
be put on these trucks if they are going to
travel through the tunnel safely. State any
assumptions that you made and be sure to
show all of the steps in your solution.
-d Because its length is almost 350 meters,
a truck stopped in the tunnel would need
enough room for the passenger door to open
fully. Suppose a truck with a width of 2.6 m
and height of 3.4 m is stuck in the right lane
of the tunnel by the center line. The top of
the driver's door is 0.2 m below the top of the
truck, and the door opens 0.8 m to the side.
Show that the door can open fully, showing
all of your steps.
-e Determine how close to the side of the tunnel
the truck could be in d be and still be able to
open the passenger door.
-f Describe some issues/concerns that you
think architects take into account when
modelling a tunnel before its construction
End of document
Answer:
My buddy what's popping??
Step-by-step explanation:
Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.
Answer:
At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.
Step-by-step explanation:
can someone help me with these two problems please!!!!!
Answer:
The question at the top is:
Factor
x 2 + 2 x − 63
using the AC method.
( x − 7 ) ( x + 9)
WHICH THE ANSWER IS (B)
The question at the bottom is:
Factor
x 2 + 18 x + 80
using the AC method.
( x + 8 ) ( x + 10 )
WHICH IS ANSWER (C)
Step-by-step explanation:
Hope this helped! :)
Select the values that make b≥-3 true
Answer:
-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10+
Step-by-step explanation:
and anything above 10 would be true