We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,
7x + 12 + 3x = 8
10x + 12 = 8
10x = -4
x = -4/10
x = -2/5.
When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.
Answer:
x=-4/10 = -2/5
Step-by-step explanation:
7x+12+3x=8
(7x+3x) =8-12
10x=-4
x=-4/10
x= -2/5
Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the Certificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
Help me pleasee anyone
Help pleas like please ASAP
Answer:
(x+9)(x+5)
Step-by-step explanation:
find 2 numbers that add to 14 and multiply to 45
Help Please!!!
Find the volume of the sphere
Answer:
523.6
Step-by-step explanation:
Not sure how to explain •-•
Hope it helps c:
Answer: use formula pi r^3
3.14 × 5 x 5 x 5 x 4 ÷ 3
Step-by-step explanation:
The initial population of a town is 4200, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Answer:
The population in 8 years will be of 7313.
Step-by-step explanation:
Population of a town:
The population of a town, after t years, with a doubling time of n years, is given by:
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
The initial population of a town is 4200, and it grows with a doubling time of 10 years.
This means that [tex]P(0) = 4200, n = 10[/tex]
So
[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]
What will the population be in 8 years?
This is P(8). So
[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]
The population in 8 years will be of 7313.
the longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. find its area
help help
Answer:
Area of triangle1/2b*h Now you can do
The area of the triangle is 9000 square centimeters
How to determine the area?Let the sides in order of length be represented as:
x, y and z.
So, we have:
z = 80 + y
z = 130 + x
P = 540
The perimeter is calculated as:
P = x + y + z
So, we have:
x + y + z =540
Substitute z = 130 + x
x + y + 130 + x =540
Evaluate the like terms
2x + y = 410
Substitute z = 130 + x in z = 80 + y
130 + x = 80 + y
Evaluate the like terms
x - y = -50
So, we have:
2x + y = 410
x - y = -50
Add both equations
3x = 360
Divide by 3
x = 120
Substitute x = 120 in z = 130 + x
z = 130 + 120
z = 250
Substitute z = 250 in z = 80 + y
250 = 80 + y
y = 170
So, we have:
x = 120
y = 170
z = 250
The area is then calculated as:
[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]
Where
s = P/2 = 540/2
s = 270
So, we have:
[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]
Evaluate
Area = 9000
Hence, the area of the triangle is 9000 square centimeters
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An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals. If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
Answer:
5x less than 300 - 165
Step-by-step explanation:
It will take 27 days to take in animals without exceeding its occupy limit.
What is algebraic expression ?An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.
According to the question :
165 + (x) 5 = 300
5x = 135
x = 27
Hence , it will take 27 days to occupy the limit
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One of the legs of a right triangle measures 9 cm and its hypotenuse measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
13.2 cm
Step-by-step explanation:
using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]
We plug in the numbers given:
[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]
rounded to nearest tenth: 13.2
The measure of the other leg in the right triangle is 13.22 cm.
What is a right triangle?A triangle with one angle measuring 90° is called a right triangle.
Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,
So, using the Pythagoras theorem,
16² = 9² + x²
x = √256-81
x = √175
x = 13.22
Hence, the measure of the other leg in the right triangle is 13.22 cm.
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If 81y^2-k=9y^2-(1/2)^2 what is the value of k
Answer:
k = 1/4
Step-by-step explanation:
81y² - k = (9y)² - (1/2)²
(9y)² - k = (9y)² - (1/2)²
k = (1/2)² = 1/4
Solve the equation 2sin x cos x = cos x, for 0° < x≤ 90°
Answer:
2sinx.Cosx=cosx
2sin90°.cos90°=cos90°
2×1.0=0
0=0
Which situation does the graph illustrate?
Answer:
eju 48, 23w6yuw43wdgn
Step-by-step explanation:
In a city of 26,000 population 5000 read English news paper, 12000 read Nepali La News paper and 1000 read both of these. What percent read neither English nor Ne newspaper.
Answer:
38.46%
Step-by-step explanation:
We are given;
Total population; n(S) = 26000
Number that read English news paper; n(E) = 5000
Number of people that read nepali; n(N) = 12000
Number that read both English and nepali; n(E n N) = 1000
Thus from probability laws, number that read either English or nepali is;
n(E u N) = n(N) + n(E) - n(N n E)
n(E u N) = 12000 + 5000 - 1000 = 16000
Thus;
number that read neither English nor nepali is;
n(E' u N') = n(S) - n(E u N)
n(E' u N') = 26000 - 16000 = 10000
Thus, the percentage is;
10000/26000 × 100% = 38.46%
Which statement is not correct?
options b is not correct
Answer:
B is right option
Step-by-step explanation
A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.
With the steps pls ……………………..
Answer: $21, 600
Step-by-step explanation:
Given:
Original cost (when the shop owner brought it) = $20,000
Profit amount = 20% of original cost
Discount rate = 10%
Solve:
First Step: Find the market price (before discount)
$20, 000 × (1 + 20%) = $24, 000Second Step: Find the discount price
$24, 000 × (1 - 10%) = $21, 600Hope this helps!! :)
Please let me know if you have any questions
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation:
Aplica el método de eliminación Gaussiana
Hello,
Here are the solution in excel files
par la méthode de Gauss
Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3
Answer:
[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]
Step-by-step explanation:
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
centro: (0,0)
focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]
eje conjugado = [tex]2\sqrt{3}[/tex]
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
de los focos podemos obtener que:
[tex]c=\sqrt{28}[/tex]
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
[tex]b=\sqrt{3}[/tex]
podemos utilizar la siguiente fórmula para obtener a:
[tex]c^{2}-a^{2}=b^{2}[/tex]
si despejamos a en la ecuación obtenemos lo siguiente:
[tex]a=\sqrt{c^{2}-b^{2}}[/tex]
ahora podemos sustituir los valores:
[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]
[tex]a=\sqrt{28-3}[/tex]
[tex]a=\sqrt{25}[/tex]
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]
[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]
si graficamos la hipérbola, queda como en el documento adjunto.
Madam Chong's mass is 72 kg. After participating in a fitness programme, her mass decreases at a rate of 3 kg per month. Find the minimum number of months that Madam Chong has to participate in the programme so that her mass becomes less than 52 kg. (Give your answer to the nearest whole number.)
I NEED HELP WITH THIS PLEASE!!!!!
Answer:
nt ooooo
o
Step-by-step explanation:
If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF.
Answer:
122
Step-by-step explanation:
Angle ABE = angle ABF + EBF
11x - 31 = 6x + 26 + 2x - 9 add like terms
11x - 31 = 8x + 17 transfer like terms to the same side of the equation
11x - 8x = 17 + 31 add/subtract like terms
3x = 48 divide both sides by 3
x = 16 now replace x with 16 in the equation
16*6+26 = 122
how to find range from a distribution table.
Answer:
Range = highest value - lowest value
Explanation:
This is the required formula to find range from a distribution table.
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
I don't understand this help me : )
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Hope it helps you in your learning process.
As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A
Answer:
a. Produce more, as long as the resources are also available
Step-by-step explanation:
from brainly itself
scouteo
Ace
The correct answer is A) produce more, as long as the resources are also available.
As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.
A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.
I need help with this, I can’t figure out the answer…
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
SOMEONE PLEASE HELP!!!!!!!!!!!!!
Answer:
x = 25.2
Step-by-step explanation:
[tex]\frac{5}{18} =\frac{7}{x}[/tex]
5x = 126
x = 25.2
Which function is represented by the graph
Answer: A
Screenshot of calculator
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone. Tonya's Phone Leo's Phone f(x) =490(0.88)x x g(x) 0 480 2 360 4 270 phone has the greater initial trade-in value. During the first four months, the trade-in value of Tonya's phone decreases at an average rate the trade-in value of Leo's phone.
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
[tex]f(x) = 490 * 0.88^x[/tex]
Leo
[tex]x \to g(x)[/tex]
[tex]0 \to 480[/tex]
[tex]2 \to 360[/tex]
[tex]4 \to 470[/tex]
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
[tex]f(x) = 490 * 0.88^x[/tex]
[tex]f(0) = 490 * 0.88^0[/tex]
[tex]f(0) = 490 * 1[/tex]
[tex]f(0) = 490[/tex]
From Leo's table
[tex]g(0) = 480[/tex]
By comparison;
[tex]f(0) > g(0)[/tex]
i.e.
[tex]490 > 480[/tex]
So: Tonya's had the greater initial trade-in value
Solving (b): The phone with lesser rate
An exponential function is:
[tex]y = ab^x[/tex]
Where:
[tex]b \to rate[/tex]
For Tonya
[tex]b = 0.88[/tex]
For Leo, we have:
[tex](x_1,y_1) = (0,480)[/tex]
[tex](x_2,y_2) = (2,360)[/tex]
So, the equation becomes:
[tex]y = ab^x[/tex]
[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]
Solving [tex]480 = ab^0[/tex], we have:
[tex]480 = a * 1[/tex]
[tex]480 = a[/tex]
[tex]a= 480[/tex]
[tex]360 = ab^2[/tex] becomes
[tex]360 = 480 * b^2[/tex]
Divide both sides by 480
[tex]0.75 = b^2[/tex]
Take square roots
[tex]0.87 = b[/tex]
[tex]b=0.87[/tex] -- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
