Answer:
Y=30
Step-by-step explanation:
we know that Y+150=180 as it is a linear pair
so, Y= 108-150
which will be 30
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per hour. Calculate the time taken for light to travel from one of these planets to the other. Give your answer in days and hours.
Answer:
3700hours
154days
Step-by-step explanation:
Speed can be defined as the distance cover per time, it can be expressed as
Speed= distance/ time........eqn(1)
Given:
distance between two planets= 4.07×10^¹²
speed of light = 1.1×10^⁹ kilometres per hour
Time= ??
Then substitute the values into equation (1) we have
Speed= distance/ time
1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time
Cross multiply, we have
Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)
Time= 3700hours.
To convert to day, we know that
60 minute= 1hour
24hour=1day
Time= (3700hour×1day)/24hour
Time= 154days approximately.
Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours
HELP PLEASE!!!
1. what's x if
18=6x
2. How do I change my username here on brainly?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Simply divide both sides of the equation by 6 and it'll be the answer.
Do yall know what 4 1/2÷6 is?
Answer:0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
i like to turn them into improper fractions
4 and 1/2 is 9/2
6 is 6/1
to divide fractions, multiply by the reciprocal
6/1 flipped is 1/6
then multiply
9/2 x 1/6 = 9/12
simplify
3/4
24 is what percent of 300
Answer:
8
Step-by-step explanation:
x/100=24/300
100 times 24 =2400
2400 divided by 300 = 8
Heeeeeeeeelp if u can but pls help
Answer:
16 units squared
Step-by-step explanation:
shbajabdhskan
Answer:
10
Step-by-step explanation:
if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h
Answer:
Heath
I think
Step-by-step explanation:
Answer:
is it Heath?
Hope it helps!!!
18-4y=42 help, please?
18-4y=42
4y = 18-42
4y=-24
y = - 6
PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).
Answer:
y=4x+1
Step-by-step explanation:
I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.
Answer:
y - 1 = 4 ( x - 0 )
Step-by-step explanation:
point slope form
find the sum of the series 9+3+1+........+1/27
Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?
Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Solve for x and y in the diagram below
Answer:
x= 39
y= 123
Step-by-step explanation:
Please see the attached picture for the full solution.
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
Learn more: https://brainly.com/question/15816805
This scatterplot and regression line below show the relationship between the average rent for a 1-bedroom apartment in New York and the number of years after the year 2000. The fitted line has a y-intercept of 800. What is the best interpretation of this y-intercept?
Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Step-by-step explanation:
In this case, x represents the number of years after the year 2000.
Then we can think that x = 0, represents the year 2000 itself.
Now, remember that the y-intercept is the value of y when we have x = 0.
Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft
Complete Question
The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F
At an altitude of 4200 ft , the liquid boils at 202.02° F.
Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft
Answer:
The equation is [tex]y = -0.001943x + 210.3569 [/tex]
At 2600ft the temperature is [tex]y = 205.3051 \ °F [/tex]
Step-by-step explanation:
From the question we are told that
The temperature at 8300ft is 194.23 ° F
The temperature at 4200 ft is 202.02° F
Generally the slope for this relationship is mathematically represented as
[tex]m = \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]
=> [tex]m = 0.001943 ^o F / ft [/tex]
Generally the according to the point slope formula is
[tex]y - y_1 = m(x -x_1 )[/tex]
=> [tex]y - 194.23 = -0.001943 (x - 8300 )[/tex]
=> [tex]y - 194.23 = -0.001943x + 16.1269 [/tex]
=> [tex]y = -0.001943x + 210.3569 [/tex]
Now we are given from the question that x = 2600 ft
Then
[tex]y = -0.001943(2600) + 210.3569 [/tex]
=> [tex]y = 205.3051 \ °F [/tex]
Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
How many degrees are in a twelfth of a full turn?
Answer:
30 degrees
Step-by-step explanation:
A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!
Hope this helps you out...have an amazing day c:
The graph of y = 4 – StartRoot 2 x EndRoot is shown.
On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).
Which statement about the graph is accurate?
The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.
Answer:
c
Step-by-step explanation:
its the only answer that makes sense
Answer:
C
Step-by-step explanation:
it makes complete 100% sense
Select the expression that is equivalent to 4x2 – 25.
Help
Answer:
Factor form: (2x-5)(2x+5)
If you olny simplify: 8x-25
Step-by-step explanation:
2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
Find the value of each variable.
If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
Answer:
4
Step-by-step explanation:
2x-2/5=4
2x= 4+(2/5)
2x= 4/5+20/5
x=(22/5)/2
x= 22/10 or 11/5
check:
2(11/5)-2/5=(22/5)-(2/5)
=20/5
=4
Answer:
213 answer
Step-by-step explanation:
I hope it help
How much is 37 1/2 percent of 48.72?
Answer:
18.27
Step-by-step explanation:
18.27
Answer: 18.28125
Step-by-step explanation:
Convert 37.5% to a decimal:
0.375
Multiply 48.72 by the decimal:
48.72(0.375)
18.28125
This can be rounded to 18.28 if you need.
Hope this helps!
Fahrenheit 451
Write a paragraph on the imagery' from this text with evidence, as well as a second paragraph for the mood.
Answer:
mark above answer BRILLIANT
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
James gets $6 for his weekly allowance and spends $4 of it. His brother Mike gets $7 for his weekly allowance and spends $3 of it. Their mother's birthday is in 4 weeks. If they spend the same amount each week, how much money can they save together in that time to buy her present? 2 points
Answer:
$24
Step-by-step explanation:
James
Allowance per week = $6
He spends = $4
Balance = $6 - $4 = $2
Mike
Allowance per week = $7
He spends = $3
Balance = $7 - $3 = $4
Their mother's birthday is in 4 weeks
how much money can they save together in that time to buy her present?
James savings per week × 4 weeks
= $2 × 4
= $8
Mike's savings per week × 4 weeks
= $4 × 4
= $16
Total amount James and Mike can save together = $8 + $16
= $24
Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?
Answer:
$4 per poundStep-by-step explanation:
given data
let the total charge be y
and let the number of pound be n
also let the charge per pound be p
we know that the expression for the total charges is given as
y=2+np
given that
y=$38
n=9
the expression the charges is now
38=2+9p
solving for p we have
38-2=9p
36=9p
p=36/9
p=4
therefore she is charged $4 per pound