Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.
Nancy paid 50 dollars more than Bryan paid.
Bryan paid twice as much as Jamie paid. How much did Nancy paid
Answer:
226 dollars
Step-by-step explanation:
Bryan = 176
Jamie = 88
Nancy = 226
Since Nancy paid 50 dollars more than Bryan paid that is 226.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Nancy, Bryan and Jamie combined their money to purchase a laptop. Together, they paid a total of 490 dollars for the laptop, including tax.
The total = 490 dollars
Given that Nancy paid 50 dollars more than Bryan paid and Bryan paid twice as much as Jamie paid.
Bryan = 2 x Jamie
Nancy = 50 + Bryan
Let Jamie = J
J + 2J + 50 + 2J = 490
5J + 50 = 490
5J = 440
J = 88
Therefore, Bryan = 176
Jamie = 88
Nancy = 226
Hence, Since Nancy paid 50 dollars more than Bryan paid that is 226.
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what is the negative solution to this equation? 4x^2+12x=135
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}[/tex]
[tex]4x^2+12x-135=135-135[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x^2+12x-135=0[/tex]
[tex]x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4[/tex]
PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?
a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg
Answer: (d)- 1.76 kg
Step-by-step explanation:
Given
The first laptop mass was 11 kg
The rate of mass decreases by 4.7% per year
In 1982, it was
[tex]\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg[/tex]
In 1983, it was
[tex]\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2[/tex]
In 2019 i.e. after 38 years, it is
[tex]\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg[/tex]
1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth
2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius
Answer:
no ):(
Step-by-step explanation:
Answer:
1. r ≈ 6.5in
2. 132
Step-by-step explanation:
1. A=πr2
Solving for r
r=A
π=132.7
π≈6.49921 in
2. = 120°/ 360° x 22/7 x 6²
= 1/3 x 22/7 x 6 x 6
= 22 x 6 x 6 / 7 x 3
= 22 x 6
= 462
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
Evaluate 5+x; if x=7
Answer:
12
Step-by-step explanation:
Pls help me i will give u brainlist
Answer:
y < or= -3/2
Step-by-step explanation:
Answer:
< or= -3/2
Step-by-step explanation:
What is a linear function in the form y=mx+b for the line passing through (2, -4) with y-intercept 2?
Answer:
A linear function in the form y = m·x + b for the line passing through the point (2, -4) with y-intercept 2 is;
y = -3·x + 2
Step-by-step explanation:
From the question, it is required to find the a linear equation passing through the point (2, - 4) with a y-intercept 2 in the form y = m·x + c
Given that the y-intercept is the point at which the line cuts the y-axis, we have, x = 0
Therefore, we have the point on the line representing the y-intercept is (0, 2)
Therefore, the slope of the graph is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we have;
[tex]Slope, \, m =\dfrac{2-(-4)}{0-2} = \dfrac{6}{-2} = -3[/tex]
The equation of the graph in point and slope is given as follows;
y - 2 = -3 × (x - 0) = -3 × x
Therefore, the equation of the line in the form y = m·x + c is given as follows;
y - 2 + 2 = -3 × x + 2
∴ y = -3·x + 2
The equation of the line in the form y = m·x + c is y = -3·x + 2.
A table of values for the cost of a phone plan in terms of the time spent on the phone is shown below.
Time (minutes) Cost ($)
20 17.95
30 19.45
60 23.95
which expression is equal to 24x^2-22x+5
Answer: (12x−5)(2x−1)
Step-by-step explanation: Hope this help :D
Answer:
24(x^2)-22x+5
=24(x^2)-(12+10)x+5
=24(x^2)-12x-10x+5
=12x(2x-1)-5(2x-1)
=(2x-1)(12x-5)
Please help.
Is algebra.
The answer for question 4 is C and the answer for question 5 is D.
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
Urgent please help..
Answer:
30cm
Step-by-step explanation:
The perimeter of the triangle is the sum of all of its sides
Since the triangle is an isosceles triangle, then AC = BC
Since AC = 3cm + 9cm = 12cm, then;
AC = BC = 12cm
For AB;
AB = 3cm + 3cm
AB = 6cm
Perimeter of the polygon = AC+BC + AB
Perimeter of the polygon = 12cm + 12cm + 6cm
Perimeter of the polygon =30cm
pls help me with this math
Answer: C
Step-by-step explanation:
solve the equation b - 7 - 6 = 15 + 5b
Answer:
b = -7
Step-by-step explanation:
b - 7 - 6 = 15 + 5b
b - 13 = 15 + 5b
4b = -28
b = -7
Disinvitedrkeiffxisivisosobo cisibibisihittieigiiigigisiibidcisividbisiAriii
Answer:
um that's veryyy creepy.....
2) Zaria rolls a dice and flips a coin. What is the
probability that she will get a number greater
than 3 and heads?
Step-by-step explanation:
probability of dice
3/6 or 1/2
probability of coin
1/2
I really need help Please and thank you
la B s la correcta por que es el que esta mas serca :)
Find the perimeter and area of the shape.
Answer:
The perimeter is 41
Step-by-step explanation:
The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:
12 + 9 + 9 + 4.6 + 6.4 = P30 + 11 = P41 = PHope this helps!
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.
Answer:
x < -4.6
Step-by-step explanation:
-4(x + 4) > x + 7
-4x - 16 > x + 7
-4x - x > 7 + 16
-5x > 23 (When we divide by a negative number, we flip the sign)
5x < -23
x < -4.6
Fill in the missing number on the table, based on the graph?
Answer:
0.5
Step-by-step explanation:
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HELP PLEASE ILL GIVE BRAINLIEST
Answer:
y=3x+3
Step-by-step explanation:
First find put the intersect point at the end then find slope.
easy
Jenny bought scrapbooking supplies for $70.75. She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.
Answer:
8%
Step-by-step explanation:
Having a wife is monogamy. Having two wives is bigotry. Having three wives is ______________.
Answer:
polygamy
Step-by-step explanation:
Answer:
polygamy :)
Explanation:
Determine the area of the following trapezoids.
(Hint): A = 1/2(b1 + b2)(h)
The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.
1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.
The person with that spam is rude and wasted your time, sorry for that.
The solution is Option D.
The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the square A be = S
Let the triangle be represented as ΔABC
The base of the triangle BC = 5 units
The height of the triangle AB = 3 units
So , the hypotenuse of the triangle AC = Side of the square A
And , from the Pythagoras theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 5² + 3²
AC² = 25 + 9
AC² = 34 units²
AC² = Area of the square A with side AC
Therefore , the value of S is 34 units²
Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
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LM is a common tangent. PL=10, QM=2, and LM=20. Find the measure of LN.
Answer:
25cm
Step-by-step explanation:
using similar triangles.
10/2 = (20+y)/y
where y is length of MN
10y = 40+2y
40= 8y
y= 5.
LN = LM + MN
= 20+5
25cm
Resuelve usando el método de sustitución o el de eliminación. Para un juego de baloncesto se vendieron 1,850 boletos. Se recaudo un total de $ 8,800. Si los boletos de niños cuestan $ 4 y los de adultos cuestan $ 6. ¿Cuántos boletos de cada clase se vendieron?
Answer:
Se vendieron 700 boletos para adultos y 1,150 boletos para niños.
Step-by-step explanation:
Primero tenemos que definir dos variables:
x = número de boletos de niños vendidos
y = número de boletos de adultos vendidos.
Entonces podemos escribir la recaudación total como:
x*$4 + y*$6
Y sabemos que la recaudación total fue $8,800, entonces:
x*$4 + y*$6 = $8,800
También sabemos que se vendieron 1,850 boletos, entonces:
x + y = 1,850
Entonces tenemos el sistema de ecuaciones:
x*$4 + y*$6 = $8,800
x + y = 1,850
En este caso podemos utilizar el método de sustitución, para ello primero debemos aislar una de las variables en una de las ecuaciones.
Si aislamos x en la segunda ecuación tenemos:
x = 1,850 - y
Ahora podemos sustituir esto en la otra ecuación para obtener:
(1,850 - y)*$4 + y*$6 = $8,800
Ahora podemos resolver esto para y.
$7,400 - y*$4 + y*$6 = $8,800
y*$2 = $8,800 - $7,400 = $1,400
y = $1,400/$2 = 700
Entonces se vendieron 700 boletos para adultos.
Ahora podemos usar la ecuación x = 1,850 - y para obtener el valor de x.
x = 1,850 - y
x = 1,850 - 700 = 1,150
Se vendieron 1,150 boletos para niños.
Answer this question to get marked as brainliest!!!!
Answer:
Diameter is the second option
Radius is the first option
Circumference is the third option
Area is the sixth option.
Step-by-step explanation:
Diameter is the distance between two circles from one end to another.
Radius is from the center to any part of the circle
To find cirumfrnce it’s diameter*π
To find area is πr^2 or in this case π*radius*radius