We are provided with a expression as follows ;
[tex]{\sf x(27-x)=182}[/tex]Can be further written as ;
[tex]{: \implies \quad \sf 27x-{x^{2}}=182}[/tex]
[tex]{: \implies \quad \sf {x^2} -27x + 182=0}[/tex]
Using splitting the middle term we have ;
[tex]{: \implies \quad \sf {x^2} - 13x-14x+182=0}[/tex]
[tex]{: \implies \quad \sf x(x-13)-14(x-13)=0}[/tex]
[tex]{: \implies \quad \sf (x-13)(x-14)=0}[/tex]
Case I :-When , (x-13)=0 , then clearly x = 13
Case II :-When , (x-14)=0 , then clearly x = 14
Hence , The required values of x are 13 and 14 respectively
A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?
Answer:
I dont know xDDDDDDDDDD
Answer:
a₅₇ = 214
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 6 and a₉₂ = 354 , then
a₁ + 4d = 6 → (1)
a₁ + 91d = 354 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 87d = 348
87d = 348 ( divide both sides by 87 )
d = 4
Substitute d = 4 in (1) and solve for a₁
a₁ + 4(4) = 6
a₁ + 16 = 6 ( subtract 16 from both sides )
a₁ = - 10
Then
a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answer:
the answer is 915
Step-by-step explanation:
tell me if I'm wrong okay
I think you might need Desmos for graphing?? Explain your answer!
Yes you are correct! This equation will make a parabola. The width when the arch is at ground level would be the x-intercepts, or zeros, of the parabola.
The vertex point is (0,12)
the axis of symmetry is 0
The zeros are (-4,0) and (4,0)
using the zeros take away the negative because something cant be negative feet wide and add the numbers together (4+4)
Your answer is 8
i attached the graph
Hope this helps you!
P.S. Can i get brainliest? :)
what are three ratios that are equivalent to 6/7
14 and 21 and 18
is three of them
Answer: 6/7 (2/2) = 12/14
(3/3) = 18/21
(4/4) = 24/28
The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the
height?
3 ft
4 ft
15 ft
6 ft
Answer:
Step-by-step explanation:
area = h(b₁+b₂)/2 = 60 ft²
h(8+12)/2 = 60 ft²
h = 6 ft
Answer:
6 ft
Step-by-step explanation:
What is the area? in square yards.
Answer:
260 square yards
Step-by-step explanation:
(9+17/2)*20
Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the rental
If Larissa has $45 to spend, what is the greatest number of full hours she can rent the bicycle?
Answer:
y = 12x + 10
Step-by-step explanation:
Edge, let me know if you got it right.
Select all true statements about the following parallelogram
Answer:
Step-by-step explanation:
Help me
How do u do this
Answer:
second one and I don't know how to do it sorry is it a
Step-by-step explanation:
can you help me with my question
The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
What is the distance between the villages on the map?
Enter your answer in the box.
Answer:
30 centimeters
Step-by-step explanation:
I hope this helps
Answer:
what he said
Step-by-step explanation:
Find the missing angle measure 130
Answer:
x=15
Step-by-step explanation:
Hello there!
the whole angle measure is 89
the given angles are 44 and 30
we need to find x
to do so we subtract the given angles from the total angle measure
x=89-44-30
x=15
2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best answer gets brainliest.
Answer:
200
Step-by-step explanation:
just look up 2% of 4 is what and you will get the same answer
Ayuda es para un examen
bonjour, j’ai un dm de math mais je ne comprends pas :
La mère de Julien lui a choisi un forfait de téléphone mobile
à 14,90 €. Elle explique à son fils que, pour ce prix, il peut téléphoner
60 minutes et envoyer 30 SMS. S'il dépasse son forfait, cela lui
coûtera 0,36 € par minute supplémentaire et 0,12 € par SMS
supplémentaire.
On note t (en minutes) la durée totale pendant laquelle Julien a téléphone et s le nombre total
de SMS qu'il a envoyés. En supposant que Julien dépasse à la fois les 60 min et les 30 SMS de son
forfait :
1) Exprimer en fonction de t (resp. en fonction de s) la somme supplémentaire que devra payer
Julien en ce qui concerne ses appels (resp. en ce qui concerne ses SMS).
2) En déduire l'expression, en fonction de t et s, de la somme totale que devra payer Julien
en cas de dépassement de son forfait tant au niveau des appels que des SMS.
3) Au cours des quatre derniers mois, Julien a répertorié dans un tableau ce qu'il a exactement
consommé. Recopier et compléter son tableau.
Temps de communication
(en minutes)
75
65
Mai
Juin
Juillet
Août
Nombre de SMS envoyés Prix à payer (en euros)
35
41
47
50
80
87
Answer:
the answe're is that i don't underatamd the language first
the cost of 3 DVDs and 4 CDs £62.00. the cost of 4 DVDs and 3 CDs is £64.00.find the cost of each.
hellllp
Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8
Bill tiene un trabajo a tiempo parcial y le pagan cada hora la misma cantidad. Cada hora que trabaja aparta $6 para dárselos a su mamá. Bill trabaja 3 horas al día y la cantidad total con que se queda cada día es $24. ¿Cuánto le pagan cada hora?
Answer:
A Bill le pagan $14 cada hora.
Step-by-step explanation:
Para conocer la cantidad que a Bill le pagan cada hora, se define una ecuación.
Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos. Es decir, una ecuación se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o más incógnitas que deben ser resueltas.
En este caso, es conveniente definir la siguiente incógnita:
x: cantidad que le pagan a Bill cada horaSi cada hora que trabaja Bill aparta $6 para dárselos a su mamá, entonces cada hora recibirá: x - 6
Bill trabaja 3 horas al día, por lo que en ese día recibirá 3horas*(x-6). Y si la cantidad total con que se queda cada día es $24, entonces la ecuación a resolver será:
3*(x -6)= 24
Resolviendo, obtienes:
3*x - 3*6= 24
3*x - 18= 24
3*x= 24 +18
3*x= 42
x= 42÷ 3
x= 14
Entonces, a Bill le pagan $14 cada hora.
Chad hiked to a famous point with a beautiful view. It took 1 hour and 15 minutes to hike to the viewpoint and 30 minutes to hike back. Chad spent 1 hour enjoying the view at the top. He finished the hike at 4:00 P.M. What time did Chad start the hike to the viewpoint?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
Step-by-step explanation:
t+1.25+.5+1=4
t=1.25 hours, .25hr=15 minutes so Chad started at
1:15p.m.
Find the area of a trapezoid below.
3 m
4 m
6 m
Express 25x²-40xy+16y² as perfect square
Answer:
(5x-4y)^2
Step-by-step explanation:
Both 25 and 16 are perfect squares, √25=5 and √16=4
What’s the solution of (x,y) PLS HELP IM STUCK
Evaluate the series 4 + 8 + 16 to S6.
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh)
Answer:
x=28
Step-by-step explanation:
Sum of all the angles in the triangle add up to equal 180
90 + x + 6 + 2x = 180
combine like terns
96 + 3x = 180
subtract 96 from each side
180-96=84
96-96 cancels out
3x=84
divide each side by 3
84/3=28
3/3 cancels out
x=28
The1AndOnlyMarkus
=========================================
Explanation:
The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.
The triangle in the lower left corner has the three angles of
90x+62xThose three interior angles must add to 180. This is true of any triangle.
90+(x+6)+(2x) = 180
3x+96 = 180
3x = 180-96
3x = 84
x = 84/3
x = 28
please help me it is timed and i am running outta time
Answer:
In ∆RST and ∆XYZ
RS=YZ(S)
angle RST=angle XYZ(A)
ST=YZ(S)
hence ∆RST ≠~∆XYZ
Helppp plzzz I will mark brainliestttt
Answer:
23.8 km
Step-by-step explanation:
What is the value of the expression (10 ÷ 5) + 6 x 8 − 12?
28
35
38
43
Answer:
C: 38
Step-by-step explanation:I just took a test that had this question and I got it correct.
please give me brainliest
Liu Tse is 6 years older than four times the age of her daughter, Lan. Lan will be 9 years old in 3 years.
Answer:
Well, you have given some information, but you have not said what we are looking for. So, what is the question?
Step-by-step explanation:
Answer:
Liu Tse is 30 years oldStep-by-step explanation:
Lan will be 9 years old in 3 years, so Lan is:
9 - 3 = 6 years old
four times the age of the daughter: 4×6 = 24
6 years older than four times the age of Lan: 24 + 6 = 30
60,221,229 is a Pythagorean triple
eneter the value x that makes the equation true 7x-2(x+1)+18=8x-11
Answer:
7x-2(x+1)+18=8x-11
7x-2x-2+18=8x-11
9x+16=8x-11
x+16=-11
x = -27
Alex has 128 photos of his friend to display equally in 4 photo albums. Which equation can you use to find how many will be in each album?
Answer:
128 ÷ 4 = [tex]\frac{128}{4}=32[/tex]
Step-by-step explanation:
Total number of photos = 128
Number of photo albums = 4
Alex has 128 photos of his friend to display equally in 4 photo albums.
Equation that can be used to find number of photos in each album =
Number of photo albums ÷ Total number of photos
= 128 ÷ 4
= [tex]\frac{128}{4}=32[/tex]