Mrs. Albert has three times as many gladiolas as Mr. Haas. Together they have 128 gladiolas. How many gladiolas does Mrs. Albert have?

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

Answer:

1750

Step-by-step explanation:

Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.

Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

Answer:

18

Step-by-step explanation:

5.5 x 3=16.5

Add 1.5 and you get 18

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

Answer:

do it your self.

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

Bob

20-4=16

Billy 20+69=89

89-16=73

Answer:

If you mean multiply I think

5y

Step-by-step explanation:

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

Answer: The answer to this inequality is C.

Answer:

1 7/10

Step-by-step explanation:

3 1/2 - 1 4/5 = ?

3 5/10 - 1 8/10 = ?

2 5/10 - 8/10 = ?

1 15/10 - 8/10 = 1 7/10

Answer:

B

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

Answer:

  B) √a

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  √a = a^(1/2)

  (a^b)/(a^c) = a^(b-c)

__

A) (a^(1/8))(a^(1/8)) = a^(1/8+1/8) = a^(1/4)

B) √a = a^(1/2) . . . . . . . . . . . . . not equal to a^(1/4)

C) a^(3/4)/a^(1/2) = a^(3/4-1/2) = a^(1/4)

D) (a^(1/8))^2 = a^(1/8+1/8) = a^(1/4) . . . . . same as (A)

Answer:

With its point on A, open the compass on point E

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

Answer:

[tex]360[/tex]

Step-by-step explanation:

[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]

Answer:

The answer is option (d) 360.

Step-by-step explanation:

[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]

[tex]\implies{\tt{5 \times 72}}[/tex]

[tex]\implies{\tt{360}}[/tex]

[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]

Hence, the answer is 360.

[tex]\rule{300}{1.5}[/tex]

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

⠀ ⇝ B - Brackets,

⠀ ⇝ O - Order of powers or roots,

⠀ ⇝ D - Division,

⠀ ⇝ M - Multiplication 

⠀ ⇝ A - Addition

⠀ ⇝ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

⠀ ↠ Addition (+)

⠀ ↠ Subtraction (-)

⠀ ↠ Multiplication (×)

⠀ ↠ Division (÷)

⠀ ↠ Brackets ( )

[tex]\rule{300}{1.5}[/tex]

Answer:

1 month.

Step-by-step explanation:

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

2 5/12 or 29/12

hope it helps ?

study well:)

Answer:  Deopends.  See below.

Step-by-step explanation:

-5/12 from 2​

The question is poorly worded.  Is it asking us to subtract -5/12 from 2?  Or are we being asked to subtract 5/12 from 2?

Assuming the first:

2 - (-5/12)

2 + 5/12

2 5/12 or 24/12 + 5/12 = 29/12

Assuming the second:

2 -5/12

24/12 - 5/12

19/12

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

D)

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

By the factor theorem

If (x + h) is a factor of f(x) then f(- h) = 0

Given (x + 4) with h = - 4 , then

f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1

       = - 64 - 2(16) - 20 + 1

      = - 64 - 32 - 19

      = - 115

Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)

Answer:

It is the second answer.

Step-by-step explanation: