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ioda
3 years ago
10

Consider the equation 9 – x = 5. a. Solve the equation by first adding x to both sides. b. Solve the equation by first subtracti

ng 9 from both sides. c. Which approach, (a) or (b), did you prefer? Explain.
Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer:

a.x=4

b.x=4

c.(b)

Step-by-step explanation:

We are given that

9-x=5

a. First we adding x on both sides we get

9-x+x=5+x

9=5+x

Now, subtract 5 on both sides we get

9-5=x

x=4

b.

We are subtracting 9 from both sides we get

9-9-x=5-9

-x=-4

x=4

We can solve equation both approach a and b

But I prefer (b) because in approach (b)

There are only 3 step in which we can get answer but in approach (a) we can get answer in 4 steps .

Hence, I prefer approach (b)

You might be interested in
Simplify:<br> 25x - 6X - 18x + 7
azamat

Answer:

x+7

Step-by-step explanation:

25x - 6x - 18x + 7

x + 7

6 0
3 years ago
How many different integers between $100$ and $500$ are multiples of either $6,$ $8,$ or both?
nirvana33 [79]
We need to find the number of integers between 100 and 500 that can be divided by 6, 8, or both. Now, to do this, we must as to how many are divisible by 6 and how many are multiples of 8.

The closest number to 100 that is divisible by 6 is 102. 498 is the multiple of 6 closest to 500. To find the number of multiple of 6 from 102 to 498, we have

n = \frac{498-102}{6} + 1
n = 67

We can use the same approach, to find the number of integers that are divisible by 8 between 100 and 500. 

n = \frac{496-104}{8} + 1
n = 50

That means there are 67 integers that are divisible by 6 and 50 integers divisible by 8. Remember that 6 and 8 share a common multiple of 24. That means the numbers 24,  48, 72, 96, etc are included in both lists. As shown below, there are 16 numbers that are multiples of 24.

n = \frac{480-120}{24} + 1
n = 16

Since we counted them twice, we subtract the number of integers that are divisible by 24 and have a final total of 67 + 50 - 16 = 101. Hence there are 101 integers that are divisible by 6, 8, or both.

Answer: 101


8 0
3 years ago
The principal amount, $5500, earns 3.75% interest compounded continuously.
Eva8 [605]

Answer:

a)

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

\:\:A=Pe^{rt}

substituting the values

A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}

A=5500\cdot \:2.71828^{0.225}

A = $ 6,887.77 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

8 0
3 years ago
At the deli, sandwiches with 6 ounces of meat cost $3.89. You can order extra meat for $0.25 per ounce. If Greg's sandwich cost
torisob [31]
5.14- 3.89 = 1.25    1.25/ 0.25 =5     m=5 I think, you might want to check it :) 
3 0
3 years ago
Calcular el valor del ángulo que falta de dun triangulo rectangulo si uno de sus lados mide 25 grados.
Blizzard [7]

Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.

<h3>Definición de triángulo</h3>

Un triángulo es un polígono que está determinado por tres segmentos de recta que se denominan lados, o por tres puntos no alineados llamados vértices.

En otras palabras, un triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.

Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.

<h3>Definición de triángulo rectángulo</h3>

El triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo recto y dos ángulos agudos.

En otras palabras, el triángulo rectángulo es aquel que tiene un ángulo interior que es recto, es decir, mide 90º.

<h3>Valor del ángulo faltante en este caso</h3>

En este caso, sabes que:

  • Al ser un triángulo rectángulo, un ángulo interior mide 90°.
  • Otro ángulo interior mide 25°.
  • La suma de los ángulos interiores es igual a 180°.

Entonces, el valor del ángulo faltante se puede calcular mediante:

90° + 25° + ángulo faltante= 180°

Resolviendo:

115° + ángulo faltante= 180°

ángulo faltante= 180° - 115°

<u><em>ángulo faltante= 65°</em></u>

Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.

Aprende más sobre los ángulos de un triángulo:

brainly.com/question/21439270

brainly.com/question/21729438

brainly.com/question/27901271

#SPJ1

8 0
2 years ago
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