Answer:
x = 30
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
8x - 3(2x - 4) = 3(x - 6)
Step 2: Solve for x
Distribute: 8x - 6x + 12 = 3x - 18Combine like terms: 2x + 12 = 3x - 18Subtract 2x on both sides: 12 = x - 18Add 18 to both sides: 30 = xRewrite: x = 30Step 3: Check
Plug in x to verify it's a solution.
Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)Multiply: 240 - 3(60 - 4) = 3(30 - 6)Subtract: 240 - 3(56) = 3(24)Multiply: 240 - 168 = 72Subtract: 72 = 72What is the slope of y=-x+7y?
Answer:
The slope of y=-x+7y is m = - 1.
Step-by-step explanation:
y = m x + c
The intercept is (0,7) | constant term.
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
The answer is B.
Step-by-step explanation:
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.
Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?
The function y=2x+6 is shifted down 8 units. What is the equation of the new function?
Answer:
y = 2x -2
Step-by-step explanation:
When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.
A slide 15 feet long makes an angle of 330 with its vertical ladder. To the
nearest foot, how tall is the slide?
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
Helllp it's due tonight
How many solutions does the equation −4y + 4y + 2 = 2 have?
a. Two
b. None
c. One
d. Infinitely many
Answer:
D
Step-by-step explanation:
Let's solve your equation step-by-step.
−4y+4y+2=2
Step 1: Simplify both sides of the equation.
−4y+4y+2=2
(−4y+4y)+(2)=2(Combine Like Terms)
2=2
2=2
Step 2: Subtract 2 from both sides.
2−2=2−2
0=0
Answer:
All real numbers are solutions.
Write the first step you would take to solve each equation.
2. -4x - 6= -10x
Answer:
x=1 (Ans)
Step-by-step explanation:
2..-4x-6=-10x
-4x+10x=6
6x=6
x=6 divided by 6
Therefore, x=1(Ans)
what is 15/8 simplyfied ?
Answer:
mixed number 1 7/8 or decimal form 1.875
Answer:
it cant be simplified but it can be converted into a mixed number. which is
1 7/8. hope this helps <3
Step-by-step explanation:
can someone please help me with this :( asap
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こんにちは
mmmmmmmmnnnnnnnnnnnnnnnnnnnnnnn
Larry shaded this area model to show an expression.
A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.
Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)
Answer:
The answers are B,D,E
Step-by-step explanation:
Answer:
bde
Step-by-step explanation:
can anyone help me with this question?
Answer:
The answer is D, or 5/7
Answer:
The slope is 5/7
Step-by-step explanation:
From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.
You are looking for a new cell phone plan. The first company, Cellular-Tastic (f), charges a monthly fee of $35 and $0.11 per minute of use. Dirt-Cheap Cell (g) charges a monthly fee of $55 and $0.01 per minute of use.
a. How many minutes would you need to use for the cell phones to cost the same amount?
b. Create a graph to model this situation and describe the graph in writing in the space provided. Include the general shape and any intersections or intercepts.
c. Using your graph, explain when each company would be a better option.
Answer:
A. 200 minutes
Step-by-step explanation:
x^2 − 15 = 1 please help
Answer:
x^2-15=1
x^2=16
4 x 4 = 16
THerefore...
x=4
Depending on how many choices there are -4 is also correct.
Any number squared is a positive.
x=4, x=-4
Step-by-step explanation:
if an item sells for $44.28 per kilograms, how many cents per ounce does the item cost? Round the answer to the nearest ten-thousandth place
Answer:
The item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Step-by-step explanation:
The sale price of item is $44.28 per kilograms. We need it to convert into cents per ounce.
We know that 1 dollar per kilogram = 2.83495 cents per ounce
So, 44.28 dollars per kilograms = 2.83495 * 44.28 cents per ounce
= 125.53159 cents per ounce
So, the item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Please Help ASAP!! Marking Brainliest!! Divide [tex]12x^2 + 4x^3 + 18 + 16x[/tex] by [tex]2x + 4[/tex].
a.) [tex]2x^2 + 2x + 3 + \frac{5}{x + 4}[/tex]
b.) [tex]2x^2 + 2x + 4 - \frac{2}{x + 4}[/tex]
c.) [tex]2x^2 + 2x + 4 + \frac{2}{2x + 4}[/tex]
d.) [tex]2x^2 + 2x + 3 + \frac{14}{x + 4}[/tex]
Answer:
The answer is C
Step-by-step explanation:
Just calculate it
Dos padres de familia deseaban saber cuáles son los costos de los uniformes escolares que compraron a sus hijos, ya que el primero padre de familia realizó la siguiente compra: 2 pantalones y 2 playeras pagando por ello $820, el segundo padre de familia realizó la siguiente compra, 1 pantalón y 3 playeras pagando por ello $490. Resuelve los siguente cuestionamientos ¿Los padre de familia pagaron al mismo precio cada pantalón y playera? ¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Answer:
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Step-by-step explanation:
Dos padres querían saber el costo de los uniformes escolares que compraban para sus hijos, ya que
Representemos pantalones = p
camisas = s
Derivamos las 2 ecuaciones
El primer padre hizo la siguiente compra: 2 pantalones y 2 camisas pagando $ 820 por ella
2p + 2s = 820 ........ Ecuación 1
El segundo padre hizo la siguiente compra, 1 pantalón y 3 camisas pagando $ 490.
p + 3s = 490 ....... Ecuación 2
p = 490 - 3 s
Resolvamos el precio de cada pantalón y camisa.
Nosotros sustituimos
2p + 2s = 820
2 (490 - 3 s) + 2 s = 820
980 - 6s + 2s = 820
980 - 820 = 6 segundos - 2 segundos
160 = 4 s
s = 160/4
s = $ 40
Por lo tanto, el costo de cada camisa = $ 40
El costo de los pantalones =
p = 490 - 3 s
p = 490 - 3 (40)
p = 490 - 120
p = $ 370
El costo de cada pantalón = $ 370
Resuelve las siguientes preguntas.
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Planteando y resolviendo un sistema de ecuaciones, veremos que cada playera cuesta $40 y cada pantalon cuesta $370.
Definamos:
x = precio de pantalonesy = precio de playeras.Por la información dada, tenemos que:
2*x + 2*y = $820
1*x + 3*y = $490
Primero respondamos las preguntas:
Notar que ambas preguntas basicamente preguntan la misma cosa:
¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Es realmente imposible saber la respuesta, pero debemos asumir que no, dado que si x e y representan diferentes cosas en cada ecuación, entonces las variables no estan definidas, y el problema es imposible de resolver.
Así que asumimos que los precios son los mismos.
con esto en mente, podemos resolver el sistema:
2*x + 2*y = $820
1*x + 3*y = $490
Primero, aislamos una variable en una ecuación, en este caso voy a aislar x en la segunda:
x = $490 - 3*y
Reemplazamos eso en la primera:
2*($490 - 3*y) + 2*y = $820
$980 - 4*y = $820
$980 - $820 = 4*y
$160/4 = y = $40
Es decir, el precio de cada playera es $40.
Mientras que:
x = $490 - 3*$40 = $370
Cada pantalon cuesta $370
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What is the simplified form of the expression V-64?
Answer:
v32
Step-by-step explanation:
i think not sure tho
Felicia ran a 4-mile race in 28 minutes. Complete the table to represent Felicia’s average rate of speed during the race.
Answer:
she runs an average 1mile every 7 minutes
Step-by-step explanation:
sorry if this does not help if this is not what u r looking for maybe clarify
hope this helps also i don't see where the chart is for the question
El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.
Answer:
El precio del saco del azúcar es de 72.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:
(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:
Aquí se menciona una igualdad entre expresiones racionales, es decir:
[tex]\frac{x}{2} = \frac{y}{3}[/tex]
[tex]3\cdot x -2\cdot y = 0[/tex] (1)
(ii) El producto de ambos precios es numéricamente 3456:
[tex]x\cdot y = 3456[/tex] (2)
Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):
[tex]x = \frac{2}{3}\cdot y[/tex]
Y la aplicamos en (2):
[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]
[tex]y^{2} = 5184[/tex]
[tex]y = 72[/tex]
El precio del saco del azúcar es de 72.
Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree
Answer:
Step-by-step explanation: 5
The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Cosine theorem:
Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)
-0.5 = (17.64 + 32.49 - BC²) / 47.88
-23.94 = 50.13 - BC²
BC² = 50.13 + 23.94
BC = √(74.07)
BC = 8.6
Sine theorem:
BC / Sin ∠A = AC / Sin ∠B
8.6 / Sin ∠A = 4.2 / Sin ∠B
8.6 / 120 = 4.2 / Sin ∠B
Sin ∠B = (4.2 x 120) / 8.6
Sin ∠B = 58.60
∠B = 25.1°
Thus,
The angle is 25.1°.
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16x what equals -112
Answer:
-7
Step-by-step explanation:
16x=-112
x=-112/16
x=-7
PLS GIVE BRAINLIEST
It took everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many mintues did it take everly to run 1 mile during the race?
Answer:
8.9 minutes
Step-by-step explanation:
Converting Everly Kilometer race to miles
1 km = 0.621 miles
10 km =
10 × 0.621 miles
= 6.21 miles
Hence,
6.21 miles = 55 minutes
1 mile = x minutes
Cross Multiply
6.21 × x = 55 × 1
x = 55 minutes/6.21
x = 8.8566827697 minutes
Approximately = 8.9 minutes
PLEASE HELP!!! THANK YOU!!!
Answer:
1st attachment :-counters left = 160
fraction of counters left = 160/400
=2/5
2nd attachment :-a) how much cheaper = 13 ×(35.43 -15.37)
= 260.78
b) B.underestimate
Answer:
260.78
Step-by-step explanation:
Two friends tried to rewrite the expression 12 + 20 using the distributive property. Which friend is correct? Explain.
Ahmad: 6(3+7)
Deena: 4(3+5)
Answer:
Deena
Step-by-step explanation:
Translate the sentence six less than the product of four and a number is -2 into an equation
Answer:
4x - 6 = -2
Step-by-step explanation:
i dont really know how to explain this one
Answer:
[tex]4x-6=-2[/tex]
Step-by-step explanation:
So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.
can you please help meee ,due at 11!
Answer:
x-intercept: -1/2
y-intercept: 5/2
Step-by-step explanation:
Use intercepts to graph the line described by the equation 2x − 2y = 8.
Answer:
y = x + 4
Step-by-step explanation:
Slope intercept : 2x - 2y = 8 = 2x 2x = 8 + 2y = 2x = 8 +2y = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2 = 2x / 2 - 8/2 = 2y/2 = y = x-4
I attached a file pls answer quick i gotta sleep
Answer:
P(2, 3.5)Step-by-step explanation:
If P partitions AB in the ratio 1:1, then P is the midpoint of AB
Using midpoint formula to find its coordinates
A = (1, 2), B = (3, 5) as per graphFinding P:
P = ((1+3)/2, (2+5)/2) = (2, 3.5)which of the following is the equation logx4=-2 written in exponential form
1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The value of √e⁷/e⁵ will be;
⇒ e
3. The equivalent expression of 3 will be;
⇒ ln e³
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].
2. The equation is √e⁷/e⁵.
3. The number is 3.
Now,
The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;
[tex]log_{x} 4 = - 2[/tex]
By the definition of logarithmic, we get;
4 = x⁻²
Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The equation is √e⁷/e⁵.
Solve as;
√e⁷/e⁵ = √ e ⁷ ⁻ ⁵
= √ e²
= e
Thus, The value of √e⁷/e⁵ will be;
⇒ e
3. Since, by the definition of logarithmic;
[tex]ln_{e} e = 1[/tex]
So, By option 1;
[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]
Thus, The equivalent expression of 3 will be;
⇒ ln e³
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