Answer:
A) La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].
Step-by-step explanation:
Debemos proceder en este ejercicio como sigue:
1) Leer cuidadosamente la frase.
2) Escribir su equivalente matemático a medida que se lee y hasta culminarlo.
A continuación, presentamos el desarrollo y la conclusión de cada ejercicio:
A) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) El cuadrado de un número:
[tex]x^{2}[/tex]
(ii) El cuadrado de un número menos cinco:
[tex]x^{2}-5[/tex]
(iii) El cuadrado de un número menos cinco es igual a:
[tex]x^{2}-5=[/tex]
(iv) El cuadrado de un número menos cinco es igual a doscientos veinte:
[tex]x^{2}-5=220[/tex]
La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].
B) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Alejandra pensó un número:
[tex]x[/tex]
(ii) Alejandra pensó un número, lo elevó al cuadrado,:
[tex]x^{2}[/tex]
(iii) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro:
[tex]4\cdot x^{2}[/tex]
(iv) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien:
[tex]4\cdot x^{2} = 100[/tex]
La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].
C) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:
(i) Si una pista de baile tiene un área de 5625 m²:
[tex]A = 5625\,m^{2}[/tex]
(ii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
(iii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile:
Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:
[tex]A = 5625\,m^{2}[/tex]
[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)
[tex]w = l[/tex]
Entonces la ecuación algebraica sería:
[tex]l^{2} = 5625\,m^{2}[/tex]
Y obtenemos la longitud por despeje:
[tex]l = \sqrt{5625\,m^{2}}[/tex]
[tex]l = 75\,m[/tex]
[tex]w = 75\,m[/tex]
Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].
Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}
I can’t.....help. I’m gay, I don’t understand math.
Answer:
i cant help i do not know answer
Answer:i-
Step-by-step explanation: good luck
What is the value of x in the equation -6x-5x+22?
-22
-2
2
22
What is the answer
Answer:
theres no answer
Step-by-step explanation:
is there more?
What is an equation of the line that passes through the point (-6, -7) and is
perpendicular to the line 6x + 5y = 30?
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]
[tex]y=\frac{-6}{5}x + 6[/tex]
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]
[tex]m_{2}=\frac{5}{6}[/tex] & (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]
Need help with this algebra problem 15 points will give brainiest if right
Answer:
b is the lowest and d is the highest y axis
Step-by-step explanation:
1. Which graphs could represent a proportional relationship?
A. A
B. B
C. C
D. D
Answer:
a
Step-by-step explanation:
proportional relationship start from the origin (0,0)
they also have a line that goes upwards in an even relationship
they also can make points
follows the slope
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
Step-by-step explanation:
1. (1/10 × 1/10 × 1/10 × 1/10)^2
(10^-4)^2
10^-8
2. (1/10 × 1/10 × 1/10)^3
(10^-3)^3
10^-6
3. (10 × 10 × 10)^-2
(10^3)^-2
10^-6
Question
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.
Given:
Points D, E, and F are non-collinear.
To find:
Number of lines that pass through F and are perpendicular to DE.
Solution:
Points D, E, and F are non-collinear. It means points D, E and F are not lie on a single straight line.
We know that, the number of perpendicular lines on a line from a particular point is 1.
So, number of lines that pass through F and are perpendicular to DE is 1 as shown in the below figure.
Find the area of the semicircle please .
Answer:
39.25
Step-by-step explanation:
the formula is a = (3.14 × [tex]r^{2}[/tex]) / 2
the equation is a = (3.14 ×[tex]5^{2}[/tex]) / 2
5 is the radius
1. [tex]5^{2}[/tex] = 25
2. 3.14 × 25 = 78.5
3. 78.5 / 2 = 39.25
I hope this helped! :)
Answer:
12.5π or 39.25
Step-by-step explanation:
10 is diameter, we first find the radius which is 10/2 = 5 and so we know the area formula of the circle is πr^2 so 5^2 is 25 and then there's a π at the end so 25π, but it's a semicircle so 25π/2 which is 12.5π, if it's in base 10 (decimal form) then simply do 12.5 x 3.14 = 39.25
A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x hours?
A. y=6,000+x
B. y=x6,000
C. y=6,000x
D. y=6,000x
Which of the following is square root of 0.000081?
(A) 0.9
(B) 0.09
(C) 0.009
(D) 9
Find the value of square root of 64/225?
(A) 8/17
(B) 8/15
(C) 13/8
(D) 8/11
Which number is not a perfect square?
(A) 4
(B) 9
(C) 111
(D) 81
Which of the following is square root of 1/25?
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/5
What is square root of 36/49?
(A) 3/4
(B) 6/7
(C) 7/6
(D) 5/8
What is square root of 36/121?
(A) 6/11
(B) 3/5
(C) 2/3
(D) 6/121
Answer:
1. C) 0.009
2. B) 8/15
3. C) 111
4. D) 1/5
5. B) 6/7
6. A) 6/11
Hope this helps and have a nice day.
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece be?
Answer:
3.71 m
Step-by-step explanation:
Here is the complete question.
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece be?
Solution
This is a scale drawing question.
Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.
Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.
So, scale = 20 cm/10.6 m
= 0.2/10.6
= 1/53.
Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from
scale = Scaled size/Actual size.
So,
Actual size = Scaled size/scale
= 7 cm ÷ 1/53
= 53 ×7 cm
= 371 cm
= 3.71 m
The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?
Answer:
bat ang pogi ko hahahaha
What is an equation of the line that passes through the points (3,3) and (-2,6)
F.y=-3/5x + 24/5
G.y=-3/5x - 24/5
H.y=3/5x + 24/5
J.y=3/5x - 24/5
Answer:
F
Step-by-step explanation:
x - x1/ x2-x1= y - y1/ y2 -y1
x - 3 / -2 -3= y -3/6-3
x-3/-5=y-3/3
3(x-3)= -5(y-3)
3x-9= -5y +15
5y = -3x +24
y= -3x/5 +24/5
Which inequalities are true? Check all that apply.
Answer:
1,2,3, and 5
Step-by-step explanation:
I plugged them all into a calculator
7/8 square foot in 1/4 hour
Answer:
2 1/2
Step-by-step explanation:
The unit rate for the given parameters is 3 1/2 square feet /hour.
Given that, 7/8 square feet in 1/4 hour.
We need to find the unit rate.
How to find unit rate?In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.
Now, unit rate = 7/8 ÷ 1/4
=7/8 × 4 =7/2
=3 1/2 square feet /hour
Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.
To learn more about a unit rate visit:
https://brainly.com/question/11258929.
#SPJ6
Find the midpoint (-4,6) (5,-9)
The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)
Easy 1 through 3 ! 17 points
1. (1.) -24, (2.) 6, (3.) -3
2. Positive
3. Difference = Subtraction
Product = Multiplication
Quotient = Division
Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was
–
6 grams.
What is the final mass of the sugar crystals?
Answer:
its actually 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Write an expression equivalent to -4(-6m - 7).
Answer: 24m+28
Step-by-step explanation:
Distribute the negative four among the two terms.
Answer:
[tex](12*2)m+(-56/-2)[/tex]
I hope this helped :)
If the measure of angle 1=4x-3 and the measure of angle 2=3x+8, find the value of x so that the measure of angle 1 is supplementary to the measure of angle 2.
Answer:
hujikmnjhu
Step-by-step explanation:
egyiru9epojgtur9iokejrue
Question 4 fast please
Answer:
X=-10
Step-by-step explanation:
Collinear points are points on the same line.
Use the equation of gradient to find the gradient. Then use the gradient to find X
[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]
[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]
[tex]\frac{x+4}{-3-0}=2[/tex]
Multiply both sides of the equation to get rid of the fraction.
[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]
x+4=-6
x=-6-4
x=-10
what is 6g-m/2 if g=4 and m=16
Answer:
I think the answer would be 16?
Step-by-step explanation:
if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16
–8 ÷ 2 =
answer now and free r
Answer:
-4
Step-by-step explanation:
If m ZAEB = 88°, find m2AED.
Step-by-step explanation:
Hey there!
Here;
Given is; angle AEB = 88°
angle AEB + angle AED = 180° { being linear pair}
88° + angle AED = 180°
angle AED = 180° - 88°
Therefore, angle AED = 92°
Therefore, answer is Option C.
Hope it helps...
In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?
Answer:
-64
Step-by-step explanation:
multiply -16 by 4 to get the total of -64
can someone help me figure this out ?
Answer: AAS
Step-by-step explanation:
Lets call the intersection point between AC and DE F.
I think he meant the two triangles AFE and DFC.
We know angle A is congruent to angle D.
We also know AE is congruent to DC.
There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.
We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.
PLease help me(: !!!!!!!!!!!!!!!!!!!!
Answer:
should be 65
Step-by-step explanation:
if not then hmu
Tell whether each number is divisible by 2, 3, 5, 6, 9, and/or 10.
a. 8,435
b. 981
Step-by-step explanation:
a. 8,435 is divisible by 5
b. 981 is divisible by 3 and 9
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
Katarina's equation
4x - 2/3y = 8
In order to convert Katrina's linear equation into standard form,
She should find the least common denominator
4x - 2/3y = 8
{4x(3) - 2y(1)} / 3 = 8
(12x - 2y) / 3 = 8
Multiply both sides by 3
(12x - 2y) / 3 × 3 = 8 × 3
12x - 2y = 24
Divide both sides by 2
(12x - 2y) / 2 = 24 / 2
6x - y = 12
The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Answer:
B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
edg2020