En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Answers
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
Aprende más con este problema similar
https://brainly.com/question/25206811?referrer=searchResultsRelated Questions
Are these figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answers
Hope this helps
The number of blogs has grown rapidly. Assuming that two new blogs are created each second,
how many blogs will be set up in one month (30 days)?
O 5.27 x 105
O 6.17 x 105
O 5.27 x 106
O 6.17 x 106
Answers
Please mark it as brainlest answer:).
Find the 12th term of the geometric sequence 5,–25, 125, ...
Answers
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
simple: get the Equation
Answers
Answer:
y=10x+10
Step-by-step explanation:
What time is four past eight at night
Answers
Answer:
8:04 pm
Step-by-step explanation:
Answer:
8:04
Step-by-step explanation:
8 o'clock and four minutes past 8 is 8:04.
Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.
Answers
Answer:
y = 7x -26
Step-by-step explanation:
[tex]y-9=7(x-5)[/tex]
[tex]y=7x-35+9[/tex]
[tex]y=7x-26[/tex]
Hope this helps
For the function, f(x)=20x+135, what does x represent?
Answers
Help for 100 points if correct
Answers
Saved:-
[tex]\\ \sf\Rrightarrow 2\dfrac{1}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{9}{4}-\dfrac{3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{18-3}{8}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15}{8}[/tex]
[tex]\\ \sf\Rrightarrow 1\dfrac{7}{8}[/tex]
Answer:
[tex]\textsf{D)} \quad 1 \dfrac{7}{8}[/tex]
Step-by-step explanation:
Subtract the used volume of punch from the starting volume of punch.
Convert the mixed number to an improper fraction:
[tex]\begin{aligned} \implies 2\frac{1}{4}-\frac{3}{8} & = \dfrac{2 \times 4+1}{4}-\dfrac{3}{8}\\\\ & = \dfrac{9}{4}-\dfrac{3}{8}\end{aligned}[/tex]
Make the denominators of both fractions the same by multiplying the numerator and the denominator of 9/4 by 2:
[tex]\implies \dfrac{9 \times 2}{4 \times 2}-\dfrac{3}{8} = \dfrac{18}{8}-\dfrac{3}{8}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\begin{aligned} \implies \dfrac{18}{8}-\dfrac{3}{8} & = \dfrac{18-3}{8}\\\\ & = \dfrac{15}{8}\end{aligned}[/tex]
Convert back into a mixed number:
[tex]\begin{aligned}\implies \dfrac{15}{8} & = \dfrac{8+7}{8}\\\\ & = \dfrac{8}{8}+\dfrac{7}{8}\\\\ & = 1\dfrac{7}{8}\end{aligned}[/tex]
Rewrite using a single positive exponent..-
7^2
——
7^-4
Answers
Answer:
7 ^2 ⋅ 7 ^4 = 49^6
Step-by-step explanation:
7² / 7 ⁻⁴
= 7²⁻⁽⁻⁴⁾
= 7 ⁽²⁺⁴⁾
= 7⁶
= 117649
Remember :-
xᵃ / xᵇ = xᵃ⁻ᵇ
___
Hope it helps ⚜
⁽
(-4+2)•(-5+3)/-3 please help
Answers
Answer:
-4/3
Step-by-step explanation:
(-4 + 2) • (-5 + 3)/-3
=> -2 • (-2)/-3
=> -2 • 2/3
=> -4/3
Therefore, -4/3 is your answer.
Hoped this helped.
Answer:
The answer is -4/3.
Step-by-step explanation:
(-4+2) = -2
x (-5+3) = -2
-2 x -2 = 4.
=-4/3
ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives
Answers
Answer:
3/8 or 0.375mph.
Step-by-step explanation:
All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.
[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]
Find the equation of the line passing through the points (-1,7) and
(2,-8). Write the equation in slope-intercept form.
A) y = -5x + 2
B) y = -5x + 7
C) y = 5x + 12
D) y = 5x – 18
Please help
Answers
slop intercept form is y=mx+b
To find m, it is (y2-y1)/(x2-x1) or (-8-7)/(2-(-1)) which then = -5
To find b, the y-intercept choose one of the points and solve for b using:
y=x(slope)+b
7= -1( -5)+b
7= 5+b
2=b (subtract 5 on both sides)
I hope this helped!
The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013
Answers
Answer:
The value of the notebook at the end of 2013 is $980
Step-by-step explanation:
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answers
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answers
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
HELPPPPPPPPPPPPPpppp
Answers
8.722 / (-3.56)
Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.
[tex]\frac{8722}{-3560}[/tex]
Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.
-[tex]\frac {49}{20}[/tex] = -2.45
Which variable is most important to the following problem?
A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents
for each of its 200 brigades. Will the tentmaker have enough tents in stock?
O A. the price of one tent
O B. the number of tents the Army orders
C. the size of each tent
Answers
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
its B
Step-by-step explanation:
HELP ASAP PLEASE?!
The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles
Answers
Answer:
The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
WILT
5
y = -2 +2
{
y = 32 - 4
ng
Choose 1 answer:
f
xt
1
3
2Y =
f
aple
©
5
=
27=
1
2
3
1
2
tems
293
1
5
D
Do 4 problems
Answers
Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
36.1 in.
Step-by-step explanation:
1:19 , 1.9in.
1.9 * 19
which equals 36.1 in.
(HOpe This hElps:)
If correct plz give brainliest ; )
Help help hep math math
Answers
Answer:
96
Step-by-step explanation:
C=πd
C=?
π=3
d=32
C=3×32
Therefore C=96
Evaluate the expression when b=5 and y=-2. b-8y
Answers
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.
Answers
Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.
$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.This year spending's is of 141.7 billion, hence, the equation is:
[tex]0.959x = 141.7[/tex]
[tex]x = \frac{141.7}{0.959}[/tex]
[tex]x = 147.8[/tex]
$147.8 billion was spent on television advertising in the previous year.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
mr polaski bought a variety pack of muffins that has 9 apple muffins. the ratio of apple muffins to blueberry muffins in variety pack is 3:5 . how many blueberry muffins are in ms polaski's variety pack?
Answers
Answer:
He has 15 Blueberry Muffins
Step-by-step explanation:
If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.
Determina el lado faltante de cada triángulo presentado emplea dos cifras decimales
Answers
Listamos los lados faltantes a continuación:
[tex]c \approx \sqrt{34}\,cm[/tex] [tex]z \approx 5.098\,cm[/tex] [tex]p = 5\,cm[/tex] [tex]l\approx 3.680\,cm[/tex]El teorema de Pitágoras establece que la medida de la hipotenusa ([tex]c[/tex]), en centímetros, de un triángulo rectángulo es igual a la raíz cuadrada de la suma de los cuadrados de los catetos ([tex]a,b[/tex]), en centímetros. La fórmula se encuentra expresada a continuación:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
La hipotenusa es el lado de mayor longitud del triángulo, los catetos son los dos lados restantes.
A continuación, procedemos a resolver cada caso:
1) [tex]a = 3\,cm[/tex], [tex]b = 5\,cm[/tex]
[tex]c = \sqrt{a^{2}+b^{2}}[/tex]
[tex]c = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}}[/tex]
[tex]c \approx \sqrt{34}\,cm[/tex]
2) [tex]x = 6.8\,cm[/tex], [tex]y = 4.5\,cm[/tex]
[tex]z = \sqrt{x^{2}-y^{2}}[/tex]
[tex]z = \sqrt{(6.8\,cm)^{2}-(4.5\,cm)^{2}}[/tex]
[tex]z \approx 5.098\,cm[/tex]
3) [tex]n = 13\,cm[/tex], [tex]m = 12\,cm[/tex]
[tex]p = \sqrt{n^{2}-m^{2}}[/tex]
[tex]p = \sqrt{(13\,cm)^{2}-(12\,cm)^{2}}[/tex]
[tex]p = 5\,cm[/tex]
4) [tex]m = 2.7\,cm[/tex], [tex]s = 2.5\,cm[/tex]
[tex]l = \sqrt{m^{2}+s^{2}}[/tex]
[tex]l = \sqrt{(2.7\,cm)^{2}+(2.5\,cm)^{2}}[/tex]
[tex]l\approx 3.680\,cm[/tex]
Para aprender más sobre el teorema de Pitágoras, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/343682
May I please receive help?
Answers
Answer:
um
Step-by-step explanation:
There are blue, red and white counters in a bag in the ratio 16 3 2 There are 112 more blue counters than white counters. How many white counters are there?
Answers
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
Total = 16 + 3 + 2Total = 21If there are 112 more blue counters than white counters, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: https://brainly.com/question/2914376
How many lines of symmetry does the figure have?
0
6
4
5
Answers
Which system of equations has no soulutions
Answers
help i dont know how to do this !!!!!!!!!!!! for brainlist
Answers
Answer:
We can simplify everything to the power of 2:
[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]
[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]
As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:
3x+6=4x+4
solve for x
x=2
D (last answer choice)
plug x=2 in and check and you will get 4096=4096
