Answer:
51/12 - 23/4
find the LCM of 12 and 4
51-69/12= -18/12= -9/6 = -3/2 = -1.5
Which expression is equivalent to 3.5 B +4.5+0.5 B -0.5-1.5 B?
Answer:
+4.5B+0.5B-1.5B+0.5‐0.5+0.5
1. Un restaurant ofrece 14 entradas, 8 platos principales y 7 postres. ¿De cuántas formas un cliente puede ordenar una comida?
2. ¿Cuántos grupos de 4 letras se pueden formar con las letras de la palabra TECNICA?
3. ¿Cuántos números de 4 dígitos se pueden formar con los primeros 7 números naturales?
4. ¿Cuántos partidos distintos se pueden realizar dados 5 equipos de futbol?
5. ¿De cuántas formas pueden colocarse los 11 jugadores de un equipo de fútbol teniendo en cuenta que el portero no puede ocupar otra posición distinta de la portería mientras que los otros 10 pueden jugar en cualquier otra posición que no sea portero?
6. En el palo de señales de un barco se puede izar tres banderas rojas, dos azules y cuatro verdes. ¿Cuántas señales distintas pueden indicarse con la colocación de las nueve banderas?
Usando técnicas de conteo, se encuentra que
1. Un cliente puede ordenar una comida de 784 formas.
2. 420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
3. 840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
4. 10 partidos distintos se pueden realizar.
5. Pueden colocarse de 3,628,800 formas.
6. 1260 señales distintas pueden indicarse.
Item 1:
La técnica usada es el principio fundamental de conteo, que afirma que si hay n cosas, cada una con [tex]n_1, n_2, \cdots, n_n[/tex] maneras de seren realizadas, el número total de maneras de ser realizadas es:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
En este problema, [tex]n_1 = 14, n_2 = 8, n_3 = 7[/tex], por eso:
[tex]T = 14 \times 8 \times 7 = 784[/tex]
Un cliente puede ordenar una comida de 784 formas.
Item 2:
El orden es importante, ya que TECN es una palabra diferente de NCET, por lo tanto, la fórmula de permutaciones se usa para resolver este problema.
Fórmula de permutaciociones:
El número de permutaciones de x elementos en un conjunto de n elementos es dada por:
[tex]P_{n,x} = \frac{n!}{(n - x)!}[/tex]
En este problema, 4 letras de 7, enconteces:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
La letra C se repite dos veces, o sea:
[tex]T = \frac{P_{7,4}}{2} = \frac{840}{2} = 420[/tex]
420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.
Item 3:
Permutaciones de 4 dígitos de 7, sin repeticiones, o sea:
[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]
840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.
Item 4:
El orden no es importante, ya que Time 1 x Time 2 es la misma partida de Time 2 x Time 1, por lo tanto, la fórmula de combinaciones se usa para resolver este problema.
Fórmula de combinaciones:
El número de combinaciones de x elementos en un conjunto de n elementos es dada por:
[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]
En este problema, combinaciones de 2 elementos de un conjunto de 5, entonces:
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
10 partidos distintos se pueden realizar.
Item 5:
El número de arreglos de n elementos viene dado por
[tex]A_n = n![/tex]
En este problema, arreglo de 10 elementos, o sea:
[tex]A_{10} = 10! = 3628800[/tex]
Pueden colocarse de 3,628,800 formas.
Item 6:
El número de arreglos de n elementos, con repeticiones de [tex]n_1, n_2, \cdots n_n[/tex] elementos viene dado por
[tex]A_n^{n_1,n_2,\cdots,n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
En este problema, [tex]n = 9, n_1 = 3, n_2 = 2, n_3 = 4[/tex], por eso:
[tex]A_9^{3,2,4} = \frac{9!}{3!2!4!} = 1260[/tex]
1260 señales distintas pueden indicarse.
Un problema similar es dado en https://brainly.com/question/19022577
I'll mark brainiest.. no links
Answer:
20.5
Step-by-step explanation:
Use Pythagorean theorem,
[tex]x^2 = 14^2 +15^2 \\\\\implies x^2 =421\\\\\implies x =\sqrt{421}\\\\\implies x =20.5[/tex]
Carly spent $150 on supplies and $125 on labor for her home. She could not spend more than $500 total. Which of these is a valid statement?
Answer:
she could spend up to $225 on more supplies
Step-by-step explanation:
the total amount of supplies and labor has to be less than or equal to $500. If she spent $150 and $125=$275 on supplies and labor, the equation would be 150+125+x≤ 500. Isolate x, to get x≤ $225. The value of x has to be less than or equal to $225.
Find the factorization of the polynomial below.
81x2 + 72x + 16
Answer:
9 x + 42.
Step-by-step explanation:
Answer:
72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178
Question
Find the area of the parallelogram.
Area =
units²
Answer:
9 units²
Step-by-step explanation:
Parallelogram area = base × height
Base = 3 units
Height = 3 units
Area = 3 × 3
Area = 9
The area of the parallelogram is 9 units².
Here, we have,
We know that,
Parallelogram area = base × height
here, from the given figure we get,
Base = 3 units
Height = 3 units
so, we get,
Parallelogram area = base × height
Area = 3 × 3
Area = 9
Hence, The area of the parallelogram is 9 units².
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The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as seen from a point 47 ft farther from the pole. Find the height of the pole above the level of the observer's eyes. 10) A) 34 ft B) 86 ft C) 60 ft D) 45 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
Let the angle of elevation of the top of the pole from a point 47 ft away be α.
Let the angle of elevation of the top of the pole from the point 13 ft away be β.
Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.
If the height of the pole above the level of the observer's eye is h, we have that
tanβ = tan2α = h/13 and tanα = h/47
From trigonometric identities tan2α = 2tanα/(1 - tan²α)
Substituting the values of the variables into the equation, we have
tan2α = 2tanα/(1 - tan²α)
h/13 = 2h/47 ÷ [1 - (h/47)²]
Dividing through by h, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
Cross-multiplying, we have
1/13 = 2/47 ÷ [1 - (h/47)²]
1 - (h/47)² = 2/47 × 13
1 - (h/47)² = 26/47
(h/47)² = 1 - 26/47
(h/47)² = (47 - 26)/47
(h/47)² = 21/47
Taking square-root of both sides, we have
h/47 = √(21/47)
Cross-multiplyng, we have
h = √(21/47) × 47
h = √(21 × 47)
h = √987
h = 31.42 ft
The height of the pole above the level of the observer's eyes is 31.42 ft
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Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Thank you
Answer:
I don't see any statements, but Tamara paid less. She paid 19.8 after the discount. David spent a little more at 19.95
What are equivalent ratios for 32/8
Hey there!
32/8
= 32 ÷ 8 / 8 ÷ 8
= 4 / 1
Therefore, your answer should be: 4:1 or 4/1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please verify how [tex]\frac{1-cos(x)}{sin(x)} =\frac{sin(x)}{1+cos(x)}[/tex]
Answer/Step-by-step explanation:
[tex]\frac{1-\cos \left(x\right)}{\sin \left(x\right)}=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}[/tex]
When you have an equation like this, you can start from either side. So, let us start from the left side.
[tex]\underline{\mathrm{Left\:side:}} \quad\frac{1-\cos \left(x\right)}{\sin \left(x\right)}[/tex]
[tex]\sf{Rewrite\: using \:Trig \:identities=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}}\\\\\mathrm{Therefore,\: it \:is \:true}[/tex]
One integer is 2 less than another. The sum of their squares is 34. Find the integers.
Answer:
no se bro no se inglés así no se que bas a aaer
Step-by-step explanation:
pero puedes consultar por
The diameter of Pilar's bike wheel is 24 inches.
How far does Pilar's bike travel when the wheel makes
10 complete rotations?
The distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
Since the wheel is circular in nature, we will take the circumference to determine the distance travelled for 1 revolution
Circumference of a circle = πr²
r is the radius of the wheel.
Given that d = 24 in, r = 24/2 = 12in
C = 2(3.14)(12)
C = 75.36 in
Hence the distance completed by 1 revolution is 75.36. If Pilar's bike makes 10 revolutions, hence the required distance will be:
D = 10 * 75.36
D = 753.6in
Hence the distance Pilar's bike travel when the wheel makes 10 complete rotations is 753.6 inches
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1
21314 JEG B 10
3
Which is the best estimate of -14
of-14; (-20)
ם
10
-42
-28
OOOO
28
42
Step-by-step explanation:
OOOO
BYE
help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13
Answer:
A and E
Step-by-step explanation:
what's the lcm of 24 and 30
Answer:
120
Step-by-step explanation:
The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.
Select the best appropriate choice below.
Decide whether you have enough information to determine that the triangles are congruent.
If they are congruent, explain why by selecting the appropriate reason.
. .
•ASA Triangle Congruence Theorem
•SAS Triangle Congruence Theorem
•SSS Triangle Congruence Theorem
•AAS Triangle Congruence Theorem
•HL Triangle Congruence Theorem
•Not Enough Information To Determine Triangles Congruent
PLEASE HELP ;-;
please help..........
THANKS!
solve pls brainliest
Answer:
-3
Step-by-step explanation:
using pemdas, we first divide -18 by 6 to get -3. next, we subtract -3 from -6: -6-(-3)=-6+3=-3
Answer: -3
Step-by-step explanation:
For this, you want to use PEDMAS
This is Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. The first step would be to divide -18/6. This will come out to -3
12(6x + 10) + x = 9x + 5(1 – x) can u solve this?
Answer:
-115/69
Step-by-step explanation:
12(6x + 10) + x = 9x + 5(1 - x)
72x + 120 + x = 9x + 5 - 5x
73x + 120 = 4x + 5
69x = 5 - 120
69x = -115
x = -115/69
which graph be represents the soulution set of y[tex]\leq[/tex]3/4x-4?
If 882 grams of FeS2 is allowed to react with 528 grams of O2 according to the following equation, how many grams of Fe2O3 are produced?
FeS2 + O2 → Fe2O3 + SO2
Balance the reaction:
a FeS₂ + b O₂ => c Fe₂O₃ + d SO₂
Matching up the atoms on either side gives the system of equations
• Fe: a = 2c
• S: 2a = d
• O: 2b = 3c + 2d
We have 3 equations with 4 unknowns. Suppose we fix one of the variables, say a = 2. Then
2 = 2c ===> c = 1
2•2 = d ===> d = 4
2b = 3•1 + 2•4 ===> b = 11/2
and so the balanced reaction is
2 FeS₂ + 11/2 O₂ => Fe₂O₃ + 4 SO₂
or
4 FeS₂ + 11 O₂ => 2 Fe₂O₃ + 8 SO₂
Look up the molar masses of each component element:
• Fe: 55.845 g/mol
• S: 32.06 g/mol
• O: 15.999 g/mol
Then the molar masses of the reactants are
• FeS₂: 119.965 g/mol
• O₂: 31.998 g/mol
Convert the given masses to moles:
• (882 g FeS₂) (1/119.965 mol/g) ≈ 7.35 mol FeS₂
• (528 g O₂) (1/31.998 mol/g) ≈ 16.5 mol O₂
In the balanced reaction, 4 moles of FeS₂ combine with 11 moles of O₂, or equivalently 1 mol FeS₂ is needed for every 11/4 = 2.75 mol O₂. Now,
(16.5 mol O₂) / (2.75 mol O₂) = 6
while
(7.35 mol FeS₂) / (1 mol FeS₂) = 7.35
which means the reaction consumes all of the available O₂ and we're left with 7.35 - 6 = 1.35 mol FeS₂.
For every 11 mol O₂ among the reactants, 2 mol Fe₂O₃ are produced. Then 16.5 mol O₂ makes for
(11 mol O₂) / (2 mol Fe₂O₃) = (16.5 mol O₂) / x
===> x = 3.00 mol Fe₂O₃
which has a mass of
(3.00 mol Fe₂O₃) (160. g/mol) ≈ 479 g Fe₂O₃
To find the mass of Fe2O3 produced, we convert the given masses of FeS2 and O2 into moles and use the molar ratio in the balanced chemical equation. The mass of Fe2O3 produced is 1170.68 grams.
To solve this problem, we need to convert the given masses of FeS2 and O2 into moles. From the balanced chemical equation, we can see that the molar ratio between FeS2 and Fe2O3 is 1:1.
This means that the number of moles of Fe2O3 produced will be equal to the number of moles of FeS2. We can use the molar mass of Fe2O3 to convert moles to grams.
First, we calculate the number of moles of FeS2 and O2:
Moles of FeS2 = 882 g / 120.17 g/mol = 7.34 mol
Moles of O2 = 528 g / 32 g/mol = 16.5 mol
Since the molar ratio between FeS2 and Fe2O3 is 1:1, we know that 7.34 moles of FeS2 will produce 7.34 moles of Fe2O3.
Now, we can calculate the mass of Fe2O3:
Mass of Fe2O3 = Moles of Fe2O3 x Molar mass of Fe2O3
Mass of Fe2O3 = 7.34 mol x 159.69 g/mol = 1170.68 g
Therefore, 1170.68 grams of Fe2O3 are produced.
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54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
At a candy factory, a machine is putting candy into a container. the graph shows the amount of candy (in pounds) in the container vs time (in minutes). SEE GRAPH BELOW AND ANSWER THE FOLLOWING QUESTIONS PLEASE.
A.) What is the amount of candy in the container at 0 minutes?
B.)Choose the stament that best describes how the time and candy are related then fill in the blank.
B 1.) As time increases the amount of candy in the container decreases. At what rate is the amount of candy decreasing?
_____ pounds per minute?
B 2.) As time increases the amount of candy in the container increases. At what rate is the amount of candy increasing?
____pounds per minute?
Answer:
A) 20 pounds
B.2) (increasing) 60 pounds per minute
Step-by-step explanation:
A) The graph shows the container has 20 pounds in it at x=0 minutes.
__
B) The graph goes up to the right (is increasing).
At minute 0, the container has 20 pounds.
At minute 1, the container has 80 pounds.
The increase in one minute is 80-20 = 60 pounds per minute.
The initial amount of candy in the container is 2 pounds. As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.
A.) The amount of candy in the container at 0 minutes is 2 pounds.
B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.
B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.
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PLS HELP GRADIENT FIRST TO ANSWER GETS BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
For a;
The answer will be 3
For b;
The answer will be -4
Step-by-step explanation:
To find the gradient of the lines, you must pick 2 points on the line and then find [tex]dy/dx[/tex]
I hope this helped!
Can I have brainliest?
Have a great day/night/afternoon!
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Find the area of the figure. (Sides meet at right angles.)
4 m
Бm
4 m
10 m
8 m
8488.75 times 24.50 plz quick
Answer:
207,974.375
I'm not sure if you need an explanation, and I myself, am not sure I can explain it to you, so I'll just give the answer to you.
Hope this helps!
In a bag of 50 marbles, 15 marbles are green or red.
What percentage of marbles are green or red?
Enter the missing values in the boxes to complete the ratio table.
Part____ Whole 50
Part____ Whole 100
Answer:
28% are green or red
Step-by-step explanation:
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
Answer:
Answer: The answer is $20
Multiply 400 by .05 or 5%.
If you wanna know 6 years it would be 536 usd
Explanation:
This would be an compound interest. Meaning that your gain every year would increase exponentially.
The equation to calculate this would be: Kn = K0⋅
(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.
Kn=400⋅
(1+5100)6
Step-by-step explanation:
CREDIT FOR ANSWER GOES TO
calderonj4588
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
Which line has a constant of proportionality between y and x of 4/3
Answer:
Line A: constant of proportionality is 4/3
Step-by-step explanation:
The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line. The only line here that has a slope greater than 1 is the blue line (A).